From 1cdc772d04bae747c339badaa99f6132eedbcd2f Mon Sep 17 00:00:00 2001 From: bg Date: Sat, 5 May 2012 05:16:29 +0200 Subject: [PATCH] now with rsassa-pkcs1v15 (old rsa signatures) + many new things --- arm-makefile.inc | 2 +- bcal/bcal_camellia128.c | 7 +- bcal/bcal_camellia128.h | 1 - bigint/bigint.c | 52 +- bigint/bigint.h | 10 +- blake/blake_large.c | 23 +- blake/blake_small.c | 26 +- bmw/bmw_large.c | 31 +- bmw/bmw_large_speed.c | 31 +- bmw/bmw_small.c | 36 +- bmw/bmw_small_speed.c | 36 +- ...{rsa_oaep_check.rb => rsaes_oaep_check.rb} | 34 +- ...kcs15_check.rb => rsaes_pkcs1v15_check.rb} | 69 +- host/rsassa_pkcs1v15_check.rb | 440 + host/shavs_test2.rb | 24 +- jh/jh_simple_speed_core.c | 6 +- md5/md5.c | 23 +- md5/md5_sbox.c | 36 + md5/md5_sbox.h | 16 +- mkfiles/md5_c.mk | 12 + mkfiles/{rsa_oaep.mk => rsaes_oaep.mk} | 6 +- mkfiles/rsaes_pkcs1v15.mk | 14 + mkfiles/rsassa_pkcs1v15.mk | 14 + mkfiles/zzz_lib.mk | 3 + present/present.c | 26 +- rsa/rsa_basic.c | 33 +- rsa/rsa_basic.h | 12 +- rsa/rsa_oaep.c | 228 - rsa/rsa_oaep.h | 54 - rsa/rsa_pkcs15.c | 142 - rsa/rsa_pkcs15.h | 35 - rsa/rsassa_pkcs1v15.c | 197 + rsa/rsassa_pkcs1v15.h | 46 + salsa20/salsa20.c | 30 +- salsa20/salsa20.h | 5 +- sha1/sha1.c | 4 +- sha1/sha1.h | 7 +- test_src/dbz_strings.c | 2 +- test_src/dbz_strings.h | 2 +- test_src/main-md5-test.c | 32 +- test_src/main-rsa_oaep-test.c | 841 -- test_src/main-rsassa_pkcs1v15-test.c | 633 ++ test_src/main-salsa20-test.c | 10 +- test_src/nessie_hash_test.c | 2 +- test_src/string-extras.c | 4 + test_src/string-extras.h | 1 + testvectors/Md5-128.unverified.test-vectors | 6212 +++++++++++ .../pkcs1v15sign-vectors.txt | 9049 +++++++++++++++++ 48 files changed, 17002 insertions(+), 1557 deletions(-) rename host/{rsa_oaep_check.rb => rsaes_oaep_check.rb} (89%) rename host/{rsa_pkcs15_check.rb => rsaes_pkcs1v15_check.rb} (81%) create mode 100644 host/rsassa_pkcs1v15_check.rb create mode 100644 md5/md5_sbox.c create mode 100644 mkfiles/md5_c.mk rename mkfiles/{rsa_oaep.mk => rsaes_oaep.mk} (61%) create mode 100644 mkfiles/rsaes_pkcs1v15.mk create mode 100644 mkfiles/rsassa_pkcs1v15.mk delete mode 100644 rsa/rsa_oaep.c delete mode 100644 rsa/rsa_oaep.h delete mode 100644 rsa/rsa_pkcs15.c delete mode 100644 rsa/rsa_pkcs15.h create mode 100644 rsa/rsassa_pkcs1v15.c create mode 100644 rsa/rsassa_pkcs1v15.h delete mode 100644 test_src/main-rsa_oaep-test.c create mode 100644 test_src/main-rsassa_pkcs1v15-test.c create mode 100644 testvectors/Md5-128.unverified.test-vectors create mode 100644 testvectors/rsa-pkcs-1v2-1-vec/pkcs1v15sign-vectors.txt diff --git a/arm-makefile.inc b/arm-makefile.inc index 5daff93..2b0b583 100644 --- a/arm-makefile.inc +++ b/arm-makefile.inc @@ -16,7 +16,7 @@ TEST_DIR = test/# BIN_DIR = bin/# TESTSRC_DIR = test_src/# ERASECMD = -TESTPORT = /dev/ttyUSB1 +TESTPORT = /dev/ttyUSB2 TESTPORTBAUDR = 115200 TESTLOG_DIR = testlog/# TESTPREFIX = nessie-# diff --git a/bcal/bcal_camellia128.c b/bcal/bcal_camellia128.c index 767c1b8..55de26a 100644 --- a/bcal/bcal_camellia128.c +++ b/bcal/bcal_camellia128.c @@ -25,18 +25,17 @@ * */ -#include #include #include "blockcipher_descriptor.h" #include "camellia.h" #include "keysize_descriptor.h" -const char camellia128_str[] PROGMEM = "Camellia-128"; +const char camellia128_str[] = "Camellia-128"; -const uint8_t camellia128_keysize_desc[] PROGMEM = { KS_TYPE_LIST, 1, KS_INT(128), +const uint8_t camellia128_keysize_desc[] = { KS_TYPE_LIST, 1, KS_INT(128), KS_TYPE_TERMINATOR }; -const bcdesc_t camellia128_desc PROGMEM = { +const bcdesc_t camellia128_desc = { BCDESC_TYPE_BLOCKCIPHER, BC_INIT_TYPE_2, camellia128_str, diff --git a/bcal/bcal_camellia128.h b/bcal/bcal_camellia128.h index ded26c7..c8b49de 100644 --- a/bcal/bcal_camellia128.h +++ b/bcal/bcal_camellia128.h @@ -25,7 +25,6 @@ * */ -#include #include "blockcipher_descriptor.h" #include "camellia.h" #include "keysize_descriptor.h" diff --git a/bigint/bigint.c b/bigint/bigint.c index f0d7d6e..5866179 100644 --- a/bigint/bigint.c +++ b/bigint/bigint.c @@ -53,9 +53,9 @@ #define SET_NEG(a) (a)->info |= BIGINT_NEG_MASK #define SET_POS(a) (a)->info &= ~BIGINT_NEG_MASK #define XCHG(a,b) do{(a)^=(b); (b)^=(a); (a)^=(b);}while(0) -#define XCHG_PTR(a,b) do{ a = (void*)(((bigint_ptr_int_t)(a)) ^ ((bigint_ptr_int_t)(b))); \ - b = (void*)(((bigint_ptr_int_t)(a)) ^ ((bigint_ptr_int_t)(b))); \ - a = (void*)(((bigint_ptr_int_t)(a)) ^ ((bigint_ptr_int_t)(b)));}while(0) +#define XCHG_PTR(a,b) do{ a = (void*)(((intptr_t)(a)) ^ ((intptr_t)(b))); \ + b = (void*)(((intptr_t)(a)) ^ ((intptr_t)(b))); \ + a = (void*)(((intptr_t)(a)) ^ ((intptr_t)(b)));}while(0) #define GET_SIGN(a) ((a)->info&BIGINT_NEG_MASK) @@ -80,7 +80,7 @@ void bigint_adjust(bigint_t* a){ /******************************************************************************/ -uint16_t bigint_length_b(bigint_t* a){ +uint16_t bigint_length_b(const bigint_t* a){ if(!a->length_B || a->length_B==0){ return 0; } @@ -89,13 +89,13 @@ uint16_t bigint_length_b(bigint_t* a){ /******************************************************************************/ -uint16_t bigint_length_B(bigint_t* a){ +uint16_t bigint_length_B(const bigint_t* a){ return a->length_B * sizeof(bigint_word_t); } /******************************************************************************/ -uint32_t bigint_get_first_set_bit(bigint_t* a){ +uint32_t bigint_get_first_set_bit(const bigint_t* a){ if(a->length_B==0){ return (uint32_t)(-1); } @@ -105,7 +105,7 @@ uint32_t bigint_get_first_set_bit(bigint_t* a){ /******************************************************************************/ -uint32_t bigint_get_last_set_bit(bigint_t* a){ +uint32_t bigint_get_last_set_bit(const bigint_t* a){ uint32_t r=0; uint8_t b=0; bigint_word_t x=1; @@ -403,7 +403,7 @@ int8_t bigint_cmp_s(const bigint_t* a, const bigint_t* b){ /******************************************************************************/ void bigint_shiftleft(bigint_t* a, uint16_t shift){ - uint16_t byteshift, word_alloc; + uint16_t byteshift, word_alloc, words_to_shift; int16_t i; uint8_t bitshift; bigint_word_t *p; @@ -417,14 +417,15 @@ void bigint_shiftleft(bigint_t* a, uint16_t shift){ a->wordv[a->length_B+i] = 0; } if(byteshift){ - memmove(((uint8_t*)a->wordv)+byteshift, a->wordv, a->length_B*sizeof(bigint_word_t)); + memmove(((uint8_t*)a->wordv) + byteshift, a->wordv, a->length_B * sizeof(bigint_word_t)); memset(a->wordv, 0, byteshift); } - p = (bigint_word_t*)(((uint8_t*)a->wordv)+byteshift); - word_alloc = a->length_B+(byteshift+sizeof(bigint_word_t)-1)/sizeof(bigint_word_t)+1; + p = a->wordv + byteshift / sizeof(bigint_word_t); + words_to_shift = a->length_B + (byteshift % sizeof(bigint_word_t)?1:0); + word_alloc = a->length_B + (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t) + 1; a->wordv[word_alloc-1]=0; if(bitshift!=0){ - for(i=0; ilength_B; ++i){ + for(i=0; i < words_to_shift; ++i){ t |= ((bigint_wordplus_t)p[i])<>= BIGINT_WORD_SIZE; @@ -444,30 +445,29 @@ void bigint_shiftright(bigint_t* a, uint16_t shift){ bigint_wordplus_t t=0; byteshift = shift/8; bitshift = shift&7; - if(byteshift >= a->length_B*sizeof(bigint_word_t)){ /* we would shift out more than we have */ + if(byteshift >= a->length_B * sizeof(bigint_word_t)){ /* we would shift out more than we have */ bigint_set_zero(a); return; } - if(byteshift == a->length_B*sizeof(bigint_word_t)-1 && bitshift>GET_FBS(a)){ + if(byteshift == a->length_B * sizeof(bigint_word_t) - 1 && bitshift > GET_FBS(a)){ bigint_set_zero(a); return; } if(byteshift){ - memmove(a->wordv, (uint8_t*)a->wordv+byteshift, a->length_B-byteshift); - memset((uint8_t*)a->wordv+a->length_B-byteshift, 0, byteshift); + memmove(a->wordv, (uint8_t*)a->wordv + byteshift, a->length_B * sizeof(bigint_word_t) - byteshift); + memset((uint8_t*)a->wordv + a->length_B * sizeof(bigint_word_t) - byteshift, 0, byteshift); } byteshift /= sizeof(bigint_word_t); - if(bitshift!=0){ + a->length_B -= (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t); + if(bitshift != 0 && a->length_B){ /* shift to the right */ - for(i=a->length_B-byteshift-1; i>0; --i){ - t |= ((bigint_wordplus_t)(a->wordv[i]))<<(BIGINT_WORD_SIZE-bitshift); - a->wordv[i] = (bigint_word_t)(t>>BIGINT_WORD_SIZE); + i = a->length_B - 1; + do{ + t |= ((bigint_wordplus_t)(a->wordv[i])) << (BIGINT_WORD_SIZE - bitshift); + a->wordv[i] = (bigint_word_t)(t >> BIGINT_WORD_SIZE); t <<= BIGINT_WORD_SIZE; - } - t |= ((bigint_wordplus_t)(a->wordv[0]))<<(BIGINT_WORD_SIZE-bitshift); - a->wordv[0] = (bigint_word_t)(t>>BIGINT_WORD_SIZE); + }while(i--); } - a->length_B -= ((shift/8)+sizeof(bigint_word_t)-1)/sizeof(bigint_word_t); bigint_adjust(a); } @@ -792,12 +792,12 @@ void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, con if(flag){ bigint_square(&res, &res); bigint_reduce(&res, r); - if(t & (1<<(BIGINT_WORD_SIZE-1))){ + if(t & (1 << (BIGINT_WORD_SIZE - 1))){ bigint_mul_u(&res, &res, &base); bigint_reduce(&res, r); } } - t<<=1; + t <<= 1; } } diff --git a/bigint/bigint.h b/bigint/bigint.h index 71b86f5..4272aa0 100644 --- a/bigint/bigint.h +++ b/bigint/bigint.h @@ -43,15 +43,13 @@ typedef struct{ bigint_word_t *wordv; /* word vector, pointing to the LSB */ }bigint_t; -typedef uint32_t bigint_ptr_int_t; - /******************************************************************************/ void bigint_adjust(bigint_t* a); -uint32_t bigint_get_first_set_bit(bigint_t* a); -uint32_t bigint_get_last_set_bit(bigint_t* a); -uint16_t bigint_length_b(bigint_t* a); -uint16_t bigint_length_B(bigint_t* a); +uint32_t bigint_get_first_set_bit(const bigint_t* a); +uint32_t bigint_get_last_set_bit(const bigint_t* a); +uint16_t bigint_length_b(const bigint_t* a); +uint16_t bigint_length_B(const bigint_t* a); void bigint_copy(bigint_t* dest, const bigint_t* src); void bigint_add_u(bigint_t* dest, const bigint_t* a, const bigint_t* b); void bigint_add_scale_u(bigint_t* dest, const bigint_t* a, uint16_t scale); diff --git a/blake/blake_large.c b/blake/blake_large.c index 256c819..e3b5d53 100644 --- a/blake/blake_large.c +++ b/blake/blake_large.c @@ -137,21 +137,24 @@ void blake_large_lastBlock(blake_large_ctx_t* ctx, const void* msg, uint16_t len msg = (uint8_t*)msg + BLAKE_LARGE_BLOCKSIZE_B; length_b -= BLAKE_LARGE_BLOCKSIZE; } - uint8_t buffer[128]; + union { + uint8_t v8[128]; + uint64_t v64[ 16]; + } buffer; uint64_t v[16]; uint64_t ctr; ctr = ctx->counter*1024+length_b; - memset(buffer, 0, 128); - memcpy(buffer, msg, (length_b+7)/8); - buffer[length_b/8] |= 0x80 >> (length_b&0x7); - blake_large_changeendian(buffer, buffer); + memset(buffer.v8, 0, 128); + memcpy(buffer.v8, msg, (length_b+7)/8); + buffer.v8[length_b/8] |= 0x80 >> (length_b&0x7); + blake_large_changeendian(buffer.v8, buffer.v8); blake_large_expand(v, ctx); if(length_b>1024-128-2){ v[12] ^= ctr; v[13] ^= ctr; - blake_large_compress(v, buffer); + blake_large_compress(v, buffer.v8); blake_large_collapse(ctx, v); - memset(buffer, 0, 128-8); + memset(buffer.v8, 0, 128-8); blake_large_expand(v, ctx); } else { if(length_b){ @@ -160,9 +163,9 @@ void blake_large_lastBlock(blake_large_ctx_t* ctx, const void* msg, uint16_t len } } if(ctx->appendone) - buffer[128-16-8] |= 0x01; - *((uint64_t*)(&(buffer[128-8]))) = ctr; - blake_large_compress(v, buffer); + buffer.v8[128-16-8] |= 0x01; + buffer.v64[15] = ctr; + blake_large_compress(v, buffer.v8); blake_large_collapse(ctx, v); } diff --git a/blake/blake_small.c b/blake/blake_small.c index ba73edb..e096d52 100644 --- a/blake/blake_small.c +++ b/blake/blake_small.c @@ -133,26 +133,30 @@ void blake_small_lastBlock(blake_small_ctx_t* ctx, const void* msg, uint16_t len msg = (uint8_t*)msg + BLAKE_SMALL_BLOCKSIZE_B; length_b -= BLAKE_SMALL_BLOCKSIZE; } - uint8_t buffer[64]; + union { + uint8_t v8[64]; + uint32_t v32[16]; + uint64_t v64[ 8]; + } buffer; uint32_t v[16]; union { uint64_t v64; uint32_t v32[2]; }ctr; ctr.v64 = ctx->counter*512+length_b; - memset(buffer, 0, 64); - memcpy(buffer, msg, (length_b+7)/8); - buffer[length_b/8] |= 0x80 >> (length_b&0x7); - blake_small_changeendian(buffer, buffer); + memset(buffer.v8, 0, 64); + memcpy(buffer.v8, msg, (length_b+7)/8); + buffer.v8[length_b/8] |= 0x80 >> (length_b&0x7); + blake_small_changeendian(buffer.v8, buffer.v8); blake_small_expand(v, ctx); if(length_b>512-64-2){ v[12] ^= ctr.v32[0]; v[13] ^= ctr.v32[0]; v[14] ^= ctr.v32[1]; v[15] ^= ctr.v32[1]; - blake_small_compress(v, buffer); + blake_small_compress(v, buffer.v8); blake_small_collapse(ctx, v); - memset(buffer, 0, 64-8); + memset(buffer.v8, 0, 64-8); blake_small_expand(v, ctx); }else{ if(length_b){ @@ -163,10 +167,10 @@ void blake_small_lastBlock(blake_small_ctx_t* ctx, const void* msg, uint16_t len } } if(ctx->appendone) - buffer[64-8-4] |= 0x01; - *((uint32_t*)(&(buffer[64-8]))) = ctr.v32[1]; - *((uint32_t*)(&(buffer[64-4]))) = ctr.v32[0]; - blake_small_compress(v, buffer); + buffer.v8[64-8-4] |= 0x01; + buffer.v32[14] = ctr.v32[1]; + buffer.v32[15] = ctr.v32[0]; + blake_small_compress(v, buffer.v8); blake_small_collapse(ctx, v); } diff --git a/bmw/bmw_large.c b/bmw/bmw_large.c index 85a5dee..17a77d8 100644 --- a/bmw/bmw_large.c +++ b/bmw/bmw_large.c @@ -520,33 +520,36 @@ void bmw_large_nextBlock(bmw_large_ctx_t* ctx, const void* block){ } void bmw_large_lastBlock(bmw_large_ctx_t* ctx, const void* block, uint16_t length_b){ - uint8_t buffer[128]; + union { + uint8_t v8[128]; + uint64_t v64[ 16]; + } buffer; while(length_b >= BMW_LARGE_BLOCKSIZE){ bmw_large_nextBlock(ctx, block); length_b -= BMW_LARGE_BLOCKSIZE; block = (uint8_t*)block + BMW_LARGE_BLOCKSIZE_B; } - memset(buffer, 0, 128); - memcpy(buffer, block, (length_b+7)/8); - buffer[length_b>>3] |= 0x80 >> (length_b&0x07); + memset(buffer.v8, 0, 128); + memcpy(buffer.v8, block, (length_b+7)/8); + buffer.v8[length_b>>3] |= 0x80 >> (length_b&0x07); if(length_b+1>128*8-64){ - bmw_large_nextBlock(ctx, buffer); - memset(buffer, 0, 128-8); + bmw_large_nextBlock(ctx, buffer.v8); + memset(buffer.v8, 0, 128-8); ctx->counter -= 1; } - *((uint64_t*)&(buffer[128-8])) = (uint64_t)(ctx->counter*1024LL)+(uint64_t)length_b; - bmw_large_nextBlock(ctx, buffer); + buffer.v64[15] = (uint64_t)(ctx->counter*1024LL)+(uint64_t)length_b; + bmw_large_nextBlock(ctx, buffer.v8); #if TWEAK uint8_t i; uint64_t q[32]; - memset(buffer, 0xaa, 128); + memset(buffer.v8, 0xaa, 128); for(i=0; i<16; ++i){ - buffer[8*i] = i + 0xa0; + buffer.v8[8*i] = i + 0xa0; } - bmw_large_f0(q, (uint64_t*)buffer, ctx->h); - bmw_large_f1(q, ctx->h, (uint64_t*)buffer); - bmw_large_f2((uint64_t*)buffer, q, ctx->h); - memcpy(ctx->h, buffer, 128); + bmw_large_f0(q, buffer.v64, ctx->h); + bmw_large_f1(q, ctx->h, buffer.v64); + bmw_large_f2(buffer.v64, q, ctx->h); + memcpy(ctx->h, buffer.v8, 128); #endif } diff --git a/bmw/bmw_large_speed.c b/bmw/bmw_large_speed.c index b5ae2b4..c20887c 100644 --- a/bmw/bmw_large_speed.c +++ b/bmw/bmw_large_speed.c @@ -226,32 +226,35 @@ void bmw_large_nextBlock(bmw_large_ctx_t* ctx, const void* block){ } void bmw_large_lastBlock(bmw_large_ctx_t* ctx, const void* block, uint16_t length_b){ - uint8_t buffer[128]; + union { + uint8_t v8[128]; + uint64_t v64[ 16]; + } buffer; while(length_b >= BMW_LARGE_BLOCKSIZE){ bmw_large_nextBlock(ctx, block); length_b -= BMW_LARGE_BLOCKSIZE; block = (uint8_t*)block + BMW_LARGE_BLOCKSIZE_B; } - memset(buffer, 0, 128); - memcpy(buffer, block, (length_b+7)/8); - buffer[length_b>>3] |= 0x80 >> (length_b&0x07); + memset(buffer.v8, 0, 128); + memcpy(buffer.v8, block, (length_b+7)/8); + buffer.v8[length_b>>3] |= 0x80 >> (length_b&0x07); if(length_b+1>128*8-64){ - bmw_large_nextBlock(ctx, buffer); - memset(buffer, 0, 128-8); + bmw_large_nextBlock(ctx, buffer.v8); + memset(buffer.v8, 0, 128-8); ctx->counter -= 1; } - *((uint64_t*)&(buffer[128-8])) = (uint64_t)(ctx->counter*1024LL)+(uint64_t)length_b; - bmw_large_nextBlock(ctx, buffer); + buffer.v64[15] = (uint64_t)(ctx->counter*1024LL)+(uint64_t)length_b; + bmw_large_nextBlock(ctx, buffer.v8); uint8_t i; uint64_t q[32]; - memset(buffer, 0xaa, 128); + memset(buffer.v8, 0xaa, 128); for(i=0; i<16; ++i){ - buffer[8*i] = i + 0xa0; + buffer.v8[8*i] = i + 0xa0; } - bmw_large_f0(q, (uint64_t*)buffer, ctx->h); - bmw_large_f1(q, ctx->h, (uint64_t*)buffer); - bmw_large_f2((uint64_t*)buffer, q, ctx->h); - memcpy(ctx->h, buffer, 128); + bmw_large_f0(q, buffer.v64, ctx->h); + bmw_large_f1(q, ctx->h, buffer.v64); + bmw_large_f2(buffer.v64, q, ctx->h); + memcpy(ctx->h, buffer.v8, 128); } void bmw384_init(bmw384_ctx_t* ctx){ diff --git a/bmw/bmw_small.c b/bmw/bmw_small.c index 74c6b9c..d52f92e 100644 --- a/bmw/bmw_small.c +++ b/bmw/bmw_small.c @@ -401,38 +401,42 @@ void bmw_small_nextBlock(bmw_small_ctx_t* ctx, const void* block){ } void bmw_small_lastBlock(bmw_small_ctx_t* ctx, const void* block, uint16_t length_b){ - uint8_t buffer[64]; + union { + uint8_t v8[64]; + uint32_t v32[16]; + uint64_t v64[ 8]; + } buffer; while(length_b >= BMW_SMALL_BLOCKSIZE){ bmw_small_nextBlock(ctx, block); length_b -= BMW_SMALL_BLOCKSIZE; block = (uint8_t*)block + BMW_SMALL_BLOCKSIZE_B; } - memset(buffer, 0, 64); - memcpy(buffer, block, (length_b+7)/8); - buffer[length_b>>3] |= 0x80 >> (length_b&0x07); + memset(buffer.v8, 0, 64); + memcpy(buffer.v8, block, (length_b+7)/8); + buffer.v8[length_b>>3] |= 0x80 >> (length_b&0x07); if(length_b+1>64*8-64){ - bmw_small_nextBlock(ctx, buffer); - memset(buffer, 0, 64-8); + bmw_small_nextBlock(ctx, buffer.v8); + memset(buffer.v8, 0, 64-8); ctx->counter -= 1; } - *((uint64_t*)&(buffer[64-8])) = (uint64_t)(ctx->counter*512LL)+(uint64_t)length_b; - bmw_small_nextBlock(ctx, buffer); + buffer.v64[7] = (uint64_t)(ctx->counter*512LL)+(uint64_t)length_b; + bmw_small_nextBlock(ctx, buffer.v8); #if TWEAK uint8_t i; uint32_t q[32]; - memset(buffer, 0xaa, 64); + memset(buffer.v8, 0xaa, 64); for(i=0; i<16;++i){ - buffer[i*4] = i+0xa0; + buffer.v8[i*4] = i+0xa0; } -// dump_x(buffer, 16, 'A'); +// dump_x(buffer.v8, 16, 'A'); dump_x(ctx->h, 16, 'M'); - bmw_small_f0(q, (uint32_t*)buffer, ctx->h); - dump_x(buffer, 16, 'a'); + bmw_small_f0(q, buffer.v32, ctx->h); + dump_x(buffer.v8, 16, 'a'); dump_x(q, 16, 'Q'); - bmw_small_f1(q, ctx->h, (uint32_t*)buffer); + bmw_small_f1(q, ctx->h, buffer.v32); dump_x(q, 32, 'Q'); - bmw_small_f2((uint32_t*)buffer, q, ctx->h); - memcpy(ctx->h, buffer, 64); + bmw_small_f2(buffer.v32, q, ctx->h); + memcpy(ctx->h, buffer.v8, 64); #endif } diff --git a/bmw/bmw_small_speed.c b/bmw/bmw_small_speed.c index ab03c67..fe3de95 100644 --- a/bmw/bmw_small_speed.c +++ b/bmw/bmw_small_speed.c @@ -228,37 +228,41 @@ void bmw_small_nextBlock(bmw_small_ctx_t* ctx, const void* block){ } void bmw_small_lastBlock(bmw_small_ctx_t* ctx, const void* block, uint16_t length_b){ - uint8_t buffer[64]; + union { + uint8_t v8[64]; + uint32_t v32[16]; + uint64_t v64[ 8]; + } buffer; while(length_b >= BMW_SMALL_BLOCKSIZE){ bmw_small_nextBlock(ctx, block); length_b -= BMW_SMALL_BLOCKSIZE; block = (uint8_t*)block + BMW_SMALL_BLOCKSIZE_B; } - memset(buffer, 0, 64); - memcpy(buffer, block, (length_b+7)/8); - buffer[length_b>>3] |= 0x80 >> (length_b&0x07); + memset(buffer.v8, 0, 64); + memcpy(buffer.v8, block, (length_b+7)/8); + buffer.v8[length_b>>3] |= 0x80 >> (length_b&0x07); if(length_b+1>64*8-64){ - bmw_small_nextBlock(ctx, buffer); - memset(buffer, 0, 64-8); + bmw_small_nextBlock(ctx, buffer.v8); + memset(buffer.v8, 0, 64-8); ctx->counter -= 1; } - *((uint64_t*)&(buffer[64-8])) = (uint64_t)(ctx->counter*512LL)+(uint64_t)length_b; - bmw_small_nextBlock(ctx, buffer); + buffer.v64[7] = (uint64_t)(ctx->counter*512LL)+(uint64_t)length_b; + bmw_small_nextBlock(ctx, buffer.v8); uint8_t i; uint32_t q[32]; - memset(buffer, 0xaa, 64); + memset(buffer.v8, 0xaa, 64); for(i=0; i<16;++i){ - buffer[i*4] = i+0xa0; + buffer.v8[i*4] = i+0xa0; } -// dump_x(buffer, 16, 'A'); +// dump_x(buffer.v8, 16, 'A'); dump_x(ctx->h, 16, 'M'); - bmw_small_f0(q, (uint32_t*)buffer, ctx->h); - dump_x(buffer, 16, 'a'); + bmw_small_f0(q, buffer.v32, ctx->h); + dump_x(buffer.v8, 16, 'a'); dump_x(q, 16, 'Q'); - bmw_small_f1(q, ctx->h, (uint32_t*)buffer); + bmw_small_f1(q, ctx->h, buffer.v32); dump_x(q, 32, 'Q'); - bmw_small_f2((uint32_t*)buffer, q, ctx->h); - memcpy(ctx->h, buffer, 64); + bmw_small_f2(buffer.v32, q, ctx->h); + memcpy(ctx->h, buffer.v8, 64); } void bmw224_init(bmw224_ctx_t* ctx){ diff --git a/host/rsa_oaep_check.rb b/host/rsaes_oaep_check.rb similarity index 89% rename from host/rsa_oaep_check.rb rename to host/rsaes_oaep_check.rb index 8d8967e..1753914 100644 --- a/host/rsa_oaep_check.rb +++ b/host/rsaes_oaep_check.rb @@ -1,5 +1,5 @@ #!/usr/bin/ruby -# rsa_oaep_check.rb +# rsaes_oaep_check.rb =begin This file is part of the AVR-Crypto-Lib. Copyright (C) 2008 Daniel Otte (daniel.otte@rub.de) @@ -353,7 +353,7 @@ end ######################################## -opts = Getopt::Std.getopts("dc:f:il:s:") +opts = Getopt::Std.getopts("dc:f:il:s:n:") conf = Hash.new conf = readconfigfile("/etc/testport.conf", conf) @@ -397,10 +397,38 @@ else sv = 1 end -if opts['l'] +if opts['l'] && ! opts['n'] $logfile = File.open(opts['l'], 'w') end +base_name = 'rsaes_oaep' + +if opts['n'] + logfilename = conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '.txt' + if File.exists?(logfilename) + i=1 + begin + logfilename = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', i, '.txt') + i+=1 + end while(File.exists?(logfilename)) + while(i>2) do + n1 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', i-2, '.txt') + n2 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', i-1, '.txt') + File.rename(n1, n2) + printf("%s -> %s\n", n1, n2) + i-=1 + end + n1 = sprintf('%s%s', conf['PORT']['testlogbase'], base_name + '_' + opts['n'] + '.txt') + n2 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', 1, '.txt') + File.rename(n1, n2) + printf("%s -> %s\n", n1, n2) + logfilename = conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '.txt' + end + printf("logging to %s", logfilename) + $logfile = File.open(logfilename, 'w') +end + + $logfile = STDOUT if ! $logfile $logfile.sync = true reset_system() diff --git a/host/rsa_pkcs15_check.rb b/host/rsaes_pkcs1v15_check.rb similarity index 81% rename from host/rsa_pkcs15_check.rb rename to host/rsaes_pkcs1v15_check.rb index cdafa8a..04b995c 100644 --- a/host/rsa_pkcs15_check.rb +++ b/host/rsaes_pkcs1v15_check.rb @@ -1,5 +1,5 @@ #!/usr/bin/ruby -# rsa_pkcs15_check.rb +# rsaes_pkcs1v15_check.rb =begin This file is part of the AVR-Crypto-Lib. Copyright (C) 2008 Daniel Otte (daniel.otte@rub.de) @@ -21,10 +21,12 @@ require 'rubygems' require 'serialport' require 'getopt/std' +require 'fileutils' $buffer_size = 0 # set automatically in init_system $conffile_check = Hash.new $conffile_check.default = 0 +$progress_dots = false $debug = false $logfile = nil @@ -94,10 +96,15 @@ end def read_block(f) d = Array.new begin + v = false l = f.gets - x = l.split.collect { |e| e.to_i(16) } + # x = l.split.collect { |e| e.to_i(16) } + t = l.split + t.each { |e| v = true if e.length != 2 } + x = [] + x = t.collect { |e| e.to_i(16) } if ! v d += x - end while x.length == 16 + end while x.length == 16 && ! v return d end @@ -238,7 +245,7 @@ def load_bigint(d) if i % 60 == 0 # we should now wait for incomming dot wait_for_dot() - print('.') + print('.') if $progress_dots end end end @@ -300,7 +307,11 @@ def check_tv(tv) test_enc = '' loop do l = read_line_from_device() - break if ! /([0-9A-Fa-f]{2}\s*)+/.match(l) + t = l.split + v = false + t.each { |e| v = true if e.length != 2 } + x = t.collect { |e| e.to_i(16) } + break if v test_enc += l if l end test_enc_a = Array.new @@ -329,9 +340,23 @@ end ######################################## # MAIN ######################################## +help_text = <ruby rsaes_pkcs1v15_check -f [-c ] [-s .] [-n | -l ] + -d enable debugging (logging all received text, not only responses) + -c use as configuration file + -f read testvectors from + -s . start with testvector . + -n log to a file which name is based on +EOF -opts = Getopt::Std.getopts('dc:f:il:s:') +opts = Getopt::Std.getopts('dc:f:l:s:n:') + +if !opts['f'] + print help_text + exit 0 +end conf = Hash.new conf = readconfigfile("/etc/testport.conf", conf) @@ -367,14 +392,42 @@ $sp.flow_control = SerialPort::SOFT $debug = true if opts['d'] -if opts['l'] +if opts['l'] && ! opts['n'] $logfile = File.open(opts['l'], 'w') end +base_name = 'rsaes_pkcs1v15' + +if opts['n'] + logfilename = conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '.txt' + if File.exists?(logfilename) + i=1 + begin + logfilename = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_',i,'.txt') + i+=1 + end while(File.exists?(logfilename)) + while(i>2) do + n1 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', i-2, '.txt') + n2 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', i-1, '.txt') + File.rename(n1, n2) + printf("%s -> %s\n", n1, n2) + i-=1 + end + n1 = sprintf('%s%s', conf['PORT']['testlogbase'], base_name + '_' + opts['n'] + '.txt') + n2 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', 1, '.txt') + File.rename(n1, n2) + printf("%s -> %s\n", n1, n2) + logfilename = conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '.txt' + end + printf("logging to %s", logfilename) + $logfile = File.open(logfilename, 'w') +end + $logfile = STDOUT if ! $logfile +$logfile.sync = true reset_system() -if opts['s'] && m = opts['s'].match(/([\d]+\.([\d]+))/) +if opts['s'] && ( m = opts['s'].match(/([\d]+)\.([\d]+)/) ) sk = m[1].to_i sv = m[2].to_i else diff --git a/host/rsassa_pkcs1v15_check.rb b/host/rsassa_pkcs1v15_check.rb new file mode 100644 index 0000000..f628eb9 --- /dev/null +++ b/host/rsassa_pkcs1v15_check.rb @@ -0,0 +1,440 @@ +#!/usr/bin/ruby +# rsassa_pkcs1v15_check.rb +=begin + This file is part of the AVR-Crypto-Lib. + Copyright (C) 2012 Daniel Otte (daniel.otte@rub.de) + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . +=end + +require 'rubygems' +require 'serialport' +require 'getopt/std' +require 'fileutils' + +$buffer_size = 0 # set automatically in init_system +$conffile_check = Hash.new +$conffile_check.default = 0 +$debug = false +$progress_dots = false +$logfile = nil + +################################################################################ +# readconfigfile # +################################################################################ + +def read_line_from_device() + repeat_counter = 10000 + l = nil + s = '' + begin + l = $sp.gets() + repeat_counter -= 1 + end while !l && repeat_counter > 0 + t = Time.new + $logfile.printf("DBG: (%02d:%02d:%02d)<< %s\n", t.hour, t.min, t.sec, l.inspect) if $debug + if l && l.include?("AVR-Crypto-Lib") + $logfile.printf("DBG: system crashed !!!\n") + exit(false) + end + return l +end + +def readconfigfile(fname, conf) + return conf if $conffile_check[fname]==1 + $conffile_check[fname]=1 + section = "default" + if not File.exists?(fname) + return conf + end + file = File.open(fname, "r") + until file.eof + line = file.gets() + next if /[\s]*#/.match(line) + if m=/\[[\s]*([^\s]*)[\s]*\]/.match(line) + section=m[1] + conf[m[1]] = Hash.new + next + end + next if ! /=/.match(line) + m=/[\s]*([^\s]*)[\s]*=[\s]*([^\s]*)/.match(line) + if m[1]=="include" + Dir.glob(m[2]){ |fn| conf = readconfigfile(fn, conf) } + else + conf[section][m[1]] = m[2] + end + end + file.close() + return conf +end + +################################################################################ +# reset_system # +################################################################################ + +def reset_system + $sp.print("\r") + sleep 0.1 + $sp.print("\r") + sleep 0.1 + $sp.print("echo off\r") + sleep 0.1 +end + + +def read_block(f) + d = Array.new + begin + v = false + l = f.gets + # x = l.split.collect { |e| e.to_i(16) } + t = l.split + t.each { |e| v = true if e.length != 2 } + x = [] + x = t.collect { |e| e.to_i(16) } if ! v + d += x + end while x.length == 16 && ! v + return d +end + +=begin +# Modulus: +# Exponent: +# Modulus: +# Public exponent: +# Exponent: +# Prime 1: +# Prime 2: +# Prime exponent 1: +# Prime exponent 2: +# Coefficient: +# Message: +# Seed: +# Encryption: + +=end + +def get_next_block(f) + ret = Hash.new + data = Array.new + begin + l = f.gets + end while l && ! m= l.match(/^#[\s](.*):[\s]*$/) + return nil if ! l + ret['tag'] = m[1] + ret['line'] = f.lineno + data = read_block(f) + ret['data'] = data + return ret +end + +$key_sequence = [ + 'Modulus', # 0 + 'Exponent', # 1 + 'Modulus', # 2 + 'Public exponent', # 3 + 'Exponent', # 4 + 'Prime 1', # 5 + 'Prime 2', # 6 + 'Prime exponent 1', # 7 + 'Prime exponent 2', # 8 + 'Coefficient', # 9 +] + +def key_consitency_check(k) + return true +end + +def process_file(f, skip_key=1, skip_vec=1) + a = get_next_block(f) + key_no = 0 + ok_counter = 0 + fail_counter = 0 + begin + if !a || ! a['tag'] == 'Modulus' + printf("ERROR: a = %s %d\n", a.inspect, __LINE__) + return + end + k_seq = Array.new + k_seq[0] = a + (1..($key_sequence.length-1)).each do |i| + a = get_next_block(f) + if ! a || a['tag'] != $key_sequence[i] + printf("ERROR: (expecting: %s) a = %s %d\n", $key_sequence[i], a.inspect, __LINE__) + end + k_seq[i] = a + end + key = convert_key(k_seq) + printf("ERROR: %d\n", __LINE__) if ! key + key_no += 1 + vec_no = 0 + printf("\n run %3d: ", key_no) + skip_key_flag = (key_no < skip_key) + load_key(key) if ! skip_key_flag + test_seq = Array.new + a = get_next_block(f) + printf("ERROR: %d\n", __LINE__) if ! a + begin + vec_no += 1 + b = get_next_block(f) + tv = Hash.new + tv['msg'] = a['data'] + tv['sign'] = b['data'] + skip_vec_flag = (skip_key_flag || (key_no == skip_key && vec_no < skip_vec)) + if skip_vec_flag + printf('o') + else + v = check_tv(tv) + if(v == true) + printf('*') + $logfile.printf("[[Test %2d.%02d = OK]]\n", key_no, vec_no) + ok_counter += 1 + else + printf('%c', v ? '*' : '!') + $logfile.printf("[[Test %2d.%02d = FAIL]]\n", key_no, vec_no) + fail_counter += 1 + end + end + a = get_next_block(f) + end while a && a['tag'] == 'Message to be signed' + end while a && a['tag'] = 'Modulus' +# printf("\nResult: %d OK / %d FAIL ==> %s \nFinished\n", ok_counter, fail_counter, fail_counter==0 ? ':-)' : ':-(') + return ok_counter,fail_counter +end + +def convert_key(k_seq) + l = ['n', 'e', 'd', 'p', 'q', 'dP', 'dQ', 'qInv'] + r = Hash.new + return nil if k_seq[0]['data'] != k_seq[2]['data'] + return nil if k_seq[1]['data'] != k_seq[3]['data'] + 8.times do |i| + r[l[i]] = k_seq[2 + i]['data'] + end + return r +end + +def wait_for_dot + begin + s = $sp.gets() + end while !s || !s.include?('.') +end + +def load_bigint(d) + $sp.printf("%d\r", d.length) + while l = read_line_from_device() + break if /data:/.match(l) + end + printf "ERROR: got no answer from system!" if !l + i = 0 + d.each do |e| + $sp.printf("%02x", e) + i += 1 + if i % 60 == 0 +# we should now wait for incomming dot + wait_for_dot() + print('.') if $progress_dots + end + end +end + +def hexdump(a) + i = 0 + a.each do |e| + printf("\n\t") if i % 16 == 0 + printf('%02x ', e) + i += 1 + end + puts('') if i % 16 != 1 +end + +def str_hexdump(a) + i = 0 + s = '' + a.each do |e| + s += "\n\t" if i % 16 == 0 + s += sprintf('%02x ', e) + i += 1 + end + s += "\n" if i % 16 != 1 + return s +end + +def load_key(k) + $sp.print("load-key\r") + sleep 0.1 + v = ['n', 'e', 'p', 'q', 'dP', 'dQ', 'qInv'] + v.each do |e| + load_bigint(k[e]) + $logfile.printf("DBG: loaded %s\n", e) if $debug + end + while l = read_line_from_device() + break if />/.match(l) + end +end + +def strip_leading_zeros(a) + loop do + return [] if a.length == 0 + return a if a[0] != 0 + a.delete_at(0) + end +end + +def check_tv(tv) + sleep 0.1 + $sp.print("sha1-test\r") + sleep 0.1 + load_bigint(tv['msg']) + $logfile.printf("DBG: loaded %s\n", 'msg') if $debug + sleep 0.1 + while l = read_line_from_device() + break if /signature:/.match(l) + end + test_sign = '' + loop do + l = read_line_from_device() + t = l.split + v = false + t.each { |e| v = true if e.length != 2 } + x = t.collect { |e| e.to_i(16) } + break if v + test_sign += l if l + end + test_sign_a = Array.new + test_sign = test_sign.split(/[\W\r\n]+/) + test_sign.each do |e| + v = e.sub(/[^0-9A-Fa-f]/, '') + test_sign_a << v if v.length == 2 + end + test_sign_a.collect!{ |e| e.to_i(16) } + strip_leading_zeros(test_sign_a) + strip_leading_zeros(tv['sign']) + sign_ok = (test_sign_a == tv['sign']) + if !sign_ok + $logfile.printf("DBG: ref = %s test = %s\n", str_hexdump(tv['sign']) , str_hexdump(test_sign_a)) + end + m = nil + loop do + l = read_line_from_device() + m = /(>>OK<<|ERROR)/.match(l) + break if m + end + return true if sign_ok && (m[1] == '>>OK<<') + return false +end + +######################################## +# MAIN +######################################## +help_text = <ruby rsassa_pkcs1v15_check -f [-c ] [-s .] [-n | -l ] + -d enable debugging (logging all received text, not only responses) + -c use as configuration file + -f read testvectors from + -s . start with testvector . + -n log to a file which name is based on + +EOF + +opts = Getopt::Std.getopts('dc:f:l:s:n:') + +if !opts['f'] + print help_text + exit 0 +end + +conf = Hash.new +conf = readconfigfile("/etc/testport.conf", conf) +conf = readconfigfile("~/.testport.conf", conf) +conf = readconfigfile("testport.conf", conf) +conf = readconfigfile(opts["c"], conf) if opts["c"] + +#puts conf.inspect + +puts("serial port interface version: " + SerialPort::VERSION); +$linewidth = 64 +params = { "baud" => conf["PORT"]["baud"].to_i, + "data_bits" => conf["PORT"]["databits"].to_i, + "stop_bits" => conf["PORT"]["stopbits"].to_i, + "parity" => SerialPort::NONE } +params["paraty"] = SerialPort::ODD if conf["PORT"]["paraty"].downcase == "odd" +params["paraty"] = SerialPort::EVEN if conf["PORT"]["paraty"].downcase == "even" +params["paraty"] = SerialPort::MARK if conf["PORT"]["paraty"].downcase == "mark" +params["paraty"] = SerialPort::SPACE if conf["PORT"]["paraty"].downcase == "space" + +puts("\nPort: "+conf["PORT"]["port"]+"@" + + params["baud"].to_s + + " " + + params["data_bits"].to_s + + conf["PORT"]["paraty"][0,1].upcase + + params["stop_bits"].to_s + + "\n") + +$sp = SerialPort.new(conf["PORT"]["port"], params) + +$sp.read_timeout=1000; # 5 minutes +$sp.flow_control = SerialPort::SOFT + +$debug = true if opts['d'] + +if opts['l'] && ! opts['n'] + $logfile = File.open(opts['l'], 'w') +end + +base_name = 'rsassa_pkcs1v15' + +if opts['n'] + logfilename = conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '.txt' + if File.exists?(logfilename) + i=1 + begin + logfilename = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', i, '.txt') + i+=1 + end while(File.exists?(logfilename)) + while(i>2) do + n1 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', i-2, '.txt') + n2 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', i-1, '.txt') + File.rename(n1, n2) + printf("%s -> %s\n", n1, n2) + i-=1 + end + n1 = sprintf('%s%s', conf['PORT']['testlogbase'], base_name + '_' + opts['n'] + '.txt') + n2 = sprintf('%s%04d%s', conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '_', 1, '.txt') + File.rename(n1, n2) + printf("%s -> %s\n", n1, n2) + logfilename = conf['PORT']['testlogbase'] + base_name + '_' + opts['n'] + '.txt' + end + printf("logging to %s", logfilename) + $logfile = File.open(logfilename, 'w') +end + +$logfile = STDOUT if ! $logfile +$logfile.sync = true +reset_system() + +if opts['s'] && ( m = opts['s'].match(/([\d]+)\.([\d]+)/) ) + sk = m[1].to_i + sv = m[2].to_i +else + sk = 1 + sv = 1 +end + +f = File.open(opts['f'], "r") +exit if !f +ok,fail = process_file(f,sk,sv) +printf("\nOK: %d FAIL: %d :-%s\n",ok,fail, fail==0 ? ')':'(') + + diff --git a/host/shavs_test2.rb b/host/shavs_test2.rb index 4d554fb..3c06e2f 100644 --- a/host/shavs_test2.rb +++ b/host/shavs_test2.rb @@ -241,12 +241,13 @@ end # -f also read config from # -i skip until test nr. # -j start with testfile +# -o use just one testfile # -h ??? # -d enable debug mode # -c ??? # -a ??? -opts = Getopt::Std.getopts("s:f:i:j:hdca") +opts = Getopt::Std.getopts("s:f:i:j:hdcao") conf = Hash.new conf = readconfigfile("/etc/testport.conf", conf) @@ -306,16 +307,16 @@ algo_tasks.each do |algoa| puts("No test-set defined for #{algo} \r\n") next else - i=0 - i = opts["j"].to_i if opts["j"] - logfile=File.open(conf["PORT"]["testlogbase"]+algo+".txt", "a") - while conf[algo]["file_#{i}"] != nil - puts("Testing #{algo} with #{conf[algo]["file_#{i}"]}") - reset_system() - init_system(algoa[1]) - skip=0 - skip=opts["i"].to_i if opts["i"] - nerrors=run_test(conf[algo]["file_#{i}"], skip) + i=0 + i = opts["j"].to_i if opts["j"] + logfile=File.open(conf["PORT"]["testlogbase"]+algo+".txt", "a") + while conf[algo]["file_#{i}"] != nil + puts("Testing #{algo} with #{conf[algo]["file_#{i}"]}") + reset_system() + init_system(algoa[1]) + skip=0 + skip=opts["i"].to_i if opts["i"] + nerrors=run_test(conf[algo]["file_#{i}"], skip) if nerrors == 0 puts("\n[ok]") logfile.puts("[ok] "+conf[algo]["file_#{i}"]+ " ("+Time.now.to_s()+")") @@ -324,6 +325,7 @@ algo_tasks.each do |algoa| logfile.puts("[error] "+nerrors.to_s+" "+conf[algo]["file_#{i}"]+ " ("+Time.now.to_s()+")") end i = i+1 + break if opts["o"] end logfile.close() end diff --git a/jh/jh_simple_speed_core.c b/jh/jh_simple_speed_core.c index 6af0bf7..5a7e16f 100644 --- a/jh/jh_simple_speed_core.c +++ b/jh/jh_simple_speed_core.c @@ -33,15 +33,15 @@ static void jh_round(uint8_t* a, uint8_t roundno){ uint8_t b[128]; - uint8_t i,r,u,v,x,y; + uint8_t i,r=0,u,v,x,y; const uint8_t *pr; pr = jh_round_const + 32*roundno; for(i=0; i<128; ++i){ if(i%4==0){ r = *pr++; } - b[i]=jh_lutbox[((r&0xC0)<<2)|a[i]]; - r<<=2; + b[i] = jh_lutbox[((r&0xC0)<<2)|a[i]]; + r <<= 2; } for(i=0;i<128;++i){ u = jh_permutation_table[2*i]; diff --git a/md5/md5.c b/md5/md5.c index 5df1df2..ce510b6 100644 --- a/md5/md5.c +++ b/md5/md5.c @@ -81,7 +81,7 @@ void md5_core(uint32_t* a, void* block, uint8_t as, uint8_t s, uint8_t i, uint8_ cli_hexdump(&i, 1); cli_putc(']'); #endif t = a[as] + funcs[fi](a[(as+1)&3], a[(as+2)&3], a[(as+3)&3]) - + *((uint32_t*)block) + pgm_read_dword(md5_T+i) ; + + *((uint32_t*)block) + md5_T[i] ; a[as]=a[(as+1)&3] + ROTL32(t, s); } @@ -139,32 +139,35 @@ void md5_nextBlock(md5_ctx_t *state, const void* block){ void md5_lastBlock(md5_ctx_t *state, const void* block, uint16_t length_b){ uint16_t l; - uint8_t b[64]; + union { + uint8_t v8[64]; + uint64_t v64[ 8]; + } buffer; while (length_b >= 512){ md5_nextBlock(state, block); length_b -= 512; block = ((uint8_t*)block) + 512/8; } - memset(b, 0, 64); - memcpy(b, block, length_b/8); + memset(buffer.v8, 0, 64); + memcpy(buffer.v8, block, length_b/8); /* insert padding one */ l=length_b/8; if(length_b%8){ uint8_t t; t = ((uint8_t*)block)[l]; t |= (0x80>>(length_b%8)); - b[l]=t; + buffer.v8[l]=t; }else{ - b[l]=0x80; + buffer.v8[l]=0x80; } /* insert length value */ if(l+sizeof(uint64_t) >= 512/8){ - md5_nextBlock(state, b); + md5_nextBlock(state, buffer.v8); state->counter--; - memset(b, 0, 64-8); + memset(buffer.v8, 0, 64-8); } - *((uint64_t*)&b[64-sizeof(uint64_t)]) = (state->counter * 512) + length_b; - md5_nextBlock(state, b); + buffer.v64[7] = (state->counter * 512) + length_b; + md5_nextBlock(state, buffer.v8); } void md5_ctx2hash(md5_hash_t* dest, const md5_ctx_t* state){ diff --git a/md5/md5_sbox.c b/md5/md5_sbox.c new file mode 100644 index 0000000..9d7eb28 --- /dev/null +++ b/md5/md5_sbox.c @@ -0,0 +1,36 @@ +/* md5_sbox.c */ +/* + This file is part of the ARM-Crypto-Lib. + Copyright (C) 2008 Daniel Otte (daniel.otte@rub.de) + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . +*/ + +#include + +const uint32_t md5_T[] = { + 0xd76aa478, 0xe8c7b756, 0x242070db, 0xc1bdceee, 0xf57c0faf, + 0x4787c62a, 0xa8304613, 0xfd469501, 0x698098d8, 0x8b44f7af, + 0xffff5bb1, 0x895cd7be, 0x6b901122, 0xfd987193, 0xa679438e, + 0x49b40821, 0xf61e2562, 0xc040b340, 0x265e5a51, 0xe9b6c7aa, + 0xd62f105d, 0x02441453, 0xd8a1e681, 0xe7d3fbc8, 0x21e1cde6, + 0xc33707d6, 0xf4d50d87, 0x455a14ed, 0xa9e3e905, 0xfcefa3f8, + 0x676f02d9, 0x8d2a4c8a, 0xfffa3942, 0x8771f681, 0x6d9d6122, + 0xfde5380c, 0xa4beea44, 0x4bdecfa9, 0xf6bb4b60, 0xbebfbc70, + 0x289b7ec6, 0xeaa127fa, 0xd4ef3085, 0x04881d05, 0xd9d4d039, + 0xe6db99e5, 0x1fa27cf8, 0xc4ac5665, 0xf4292244, 0x432aff97, + 0xab9423a7, 0xfc93a039, 0x655b59c3, 0x8f0ccc92, 0xffeff47d, + 0x85845dd1, 0x6fa87e4f, 0xfe2ce6e0, 0xa3014314, 0x4e0811a1, + 0xf7537e82, 0xbd3af235, 0x2ad7d2bb, 0xeb86d391 }; + diff --git a/md5/md5_sbox.h b/md5/md5_sbox.h index 0c6da57..25eaa58 100644 --- a/md5/md5_sbox.h +++ b/md5/md5_sbox.h @@ -20,21 +20,7 @@ #define MD5_SBOX_H_ #include -#include -uint32_t md5_T[] PROGMEM = { - 0xd76aa478, 0xe8c7b756, 0x242070db, 0xc1bdceee, 0xf57c0faf, - 0x4787c62a, 0xa8304613, 0xfd469501, 0x698098d8, 0x8b44f7af, - 0xffff5bb1, 0x895cd7be, 0x6b901122, 0xfd987193, 0xa679438e, - 0x49b40821, 0xf61e2562, 0xc040b340, 0x265e5a51, 0xe9b6c7aa, - 0xd62f105d, 0x02441453, 0xd8a1e681, 0xe7d3fbc8, 0x21e1cde6, - 0xc33707d6, 0xf4d50d87, 0x455a14ed, 0xa9e3e905, 0xfcefa3f8, - 0x676f02d9, 0x8d2a4c8a, 0xfffa3942, 0x8771f681, 0x6d9d6122, - 0xfde5380c, 0xa4beea44, 0x4bdecfa9, 0xf6bb4b60, 0xbebfbc70, - 0x289b7ec6, 0xeaa127fa, 0xd4ef3085, 0x04881d05, 0xd9d4d039, - 0xe6db99e5, 0x1fa27cf8, 0xc4ac5665, 0xf4292244, 0x432aff97, - 0xab9423a7, 0xfc93a039, 0x655b59c3, 0x8f0ccc92, 0xffeff47d, - 0x85845dd1, 0x6fa87e4f, 0xfe2ce6e0, 0xa3014314, 0x4e0811a1, - 0xf7537e82, 0xbd3af235, 0x2ad7d2bb, 0xeb86d391 }; +extern const uint32_t md5_T[]; #endif /*MD5_SBOX_H_*/ diff --git a/mkfiles/md5_c.mk b/mkfiles/md5_c.mk new file mode 100644 index 0000000..a65537e --- /dev/null +++ b/mkfiles/md5_c.mk @@ -0,0 +1,12 @@ +# Makefile for MD5 +ALGO_NAME := MD5_C + +# comment out the following line for removement of MD5 from the build process +HASHES += $(ALGO_NAME) + +$(ALGO_NAME)_DIR := hfal/ md5/ +$(ALGO_NAME)_OBJ := md5.o md5_sbox.o +$(ALGO_NAME)_TESTBIN := main-md5-test.o hfal_md5.o $(CLI_STD) $(HFAL_STD) +$(ALGO_NAME)_NESSIE_TEST := "nessie" +$(ALGO_NAME)_PERFORMANCE_TEST := "performance" + diff --git a/mkfiles/rsa_oaep.mk b/mkfiles/rsaes_oaep.mk similarity index 61% rename from mkfiles/rsa_oaep.mk rename to mkfiles/rsaes_oaep.mk index 59c1a39..0b0b682 100644 --- a/mkfiles/rsa_oaep.mk +++ b/mkfiles/rsaes_oaep.mk @@ -1,13 +1,13 @@ # Makefile for RSA -ALGO_NAME := RSA_OAEP +ALGO_NAME := RSAES_OAEP # comment out the following line for removement of RSA from the build process PK_CIPHERS += $(ALGO_NAME) $(ALGO_NAME)_DIR := rsa/ $(ALGO_NAME)_INCDIR := memxor/ bigint/ noekeon/ hfal/ sha1/ mgf1/ -$(ALGO_NAME)_OBJ := bigint.o bigint_io.o rsa_basic.o rsa_oaep.o mgf1.o hfal-basic.o hfal_sha1.o sha1.o -$(ALGO_NAME)_TESTBIN := main-rsa_oaep-test.o $(CLI_STD) random_dummy.o \ +$(ALGO_NAME)_OBJ := bigint.o bigint_io.o rsa_basic.o rsaes_oaep.o mgf1.o hfal-basic.o hfal_sha1.o sha1.o +$(ALGO_NAME)_TESTBIN := main-rsaes_oaep-test.o $(CLI_STD) random_dummy.o \ noekeon.o noekeon_prng.o memxor.o $(ALGO_NAME)_PERFORMANCE_TEST := performance diff --git a/mkfiles/rsaes_pkcs1v15.mk b/mkfiles/rsaes_pkcs1v15.mk new file mode 100644 index 0000000..8d15289 --- /dev/null +++ b/mkfiles/rsaes_pkcs1v15.mk @@ -0,0 +1,14 @@ +# Makefile for RSA +ALGO_NAME := RSAES_PKCS1V15 + +# comment out the following line for removement of RSA from the build process +SIGNATURE += $(ALGO_NAME) + +$(ALGO_NAME)_DIR := rsa/ +$(ALGO_NAME)_INCDIR := memxor/ bigint/ noekeon/ +$(ALGO_NAME)_OBJ := bigint.o bigint_io.o rsa_basic.o rsaes_pkcs1v15.o +$(ALGO_NAME)_TESTBIN := main-rsaes_pkcs1v15-test.o $(CLI_STD) random_dummy.o \ + noekeon.o noekeon_prng.o memxor.o + +$(ALGO_NAME)_PERFORMANCE_TEST := performance + diff --git a/mkfiles/rsassa_pkcs1v15.mk b/mkfiles/rsassa_pkcs1v15.mk new file mode 100644 index 0000000..505ec97 --- /dev/null +++ b/mkfiles/rsassa_pkcs1v15.mk @@ -0,0 +1,14 @@ +# Makefile for RSA +ALGO_NAME := RSASSA_PKCS1V15 + +# comment out the following line for removement of RSA from the build process +SIGNATURE += $(ALGO_NAME) + +$(ALGO_NAME)_DIR := rsa/ +$(ALGO_NAME)_INCDIR := memxor/ bigint/ noekeon/ sha1/ +$(ALGO_NAME)_OBJ := bigint.o bigint_io.o rsa_basic.o rsassa_pkcs1v15.o +$(ALGO_NAME)_TESTBIN := main-rsassa_pkcs1v15-test.o $(CLI_STD) random_dummy.o \ + noekeon.o noekeon_prng.o memxor.o sha1.o + +$(ALGO_NAME)_PERFORMANCE_TEST := performance + diff --git a/mkfiles/zzz_lib.mk b/mkfiles/zzz_lib.mk index 0fce0eb..93f8242 100644 --- a/mkfiles/zzz_lib.mk +++ b/mkfiles/zzz_lib.mk @@ -17,6 +17,7 @@ LIB_ALGOS:= \ JH_SIMPLE_SMALL_C \ KECCAK_C \ KHAZAD_SMALL_C \ + MD5_C \ MICKEY128 \ NOEKEON_C \ PRESENT \ @@ -24,6 +25,8 @@ LIB_ALGOS:= \ RABBIT_C \ RC5 \ RC6 \ + RSAES_OAEP \ + RSAES_PKCS1V15 \ SALSA20_C \ SEED_C \ SERPENT_BITSLICE \ diff --git a/present/present.c b/present/present.c index 3856055..4525571 100644 --- a/present/present.c +++ b/present/present.c @@ -30,18 +30,18 @@ #include "present.h" static uint8_t sbox(uint8_t b){ - uint8_t sb[]={0xC, 0x5, 0x6, 0xB, - 0x9, 0x0, 0xA, 0xD, - 0x3, 0xE, 0xF, 0x8, - 0x4, 0x7, 0x1, 0x2 }; + const uint8_t sb[]={ 0xC, 0x5, 0x6, 0xB, + 0x9, 0x0, 0xA, 0xD, + 0x3, 0xE, 0xF, 0x8, + 0x4, 0x7, 0x1, 0x2 }; return (((sb[b>>4])<<4)|(sb[b&0xf])); } static uint8_t sbox_inv(uint8_t b){ - uint8_t sb[]={0x5, 0xE, 0xF, 0x8, - 0xC, 0x1, 0x2, 0xD, - 0xB, 0x4, 0x6, 0x3, - 0x0, 0x7, 0x9, 0xA }; + const uint8_t sb[]={ 0x5, 0xE, 0xF, 0x8, + 0xC, 0x1, 0x2, 0xD, + 0xB, 0x4, 0x6, 0x3, + 0x0, 0x7, 0x9, 0xA }; return (((sb[b>>4])<<4)|(sb[b&0xf])); } @@ -73,10 +73,14 @@ static void p_inv(uint8_t* o, uint8_t* i){ void present_init(const uint8_t* key, uint8_t keysize_b, present_ctx_t* ctx){ uint8_t tmp[2]; - union { - uint8_t v8[10]; + union __attribute__((packed)) { + uint8_t v8[10]; uint64_t v64; uint16_t v16[5]; + struct __attribute__((packed)) { + uint8_t v8[1]; + uint16_t v16[4]; + } off1; } b; uint8_t i; memcpy(b.v8, key, 10); @@ -95,7 +99,7 @@ void present_init(const uint8_t* key, uint8_t keysize_b, present_ctx_t* ctx){ /* rotating done now substitution */ b.v8[9] = (sbox(b.v8[9])&0xF0) | ((b.v8[9])&0x0F); /* xor with round counter */ - *((uint16_t*)(b.v8+1)) ^= (uint16_t)i<<7; + b.off1.v16[0] ^= (uint16_t)i<<7; memcpy(&(ctx->k[i]), b.v8+2, 8); } } diff --git a/rsa/rsa_basic.c b/rsa/rsa_basic.c index a166dfa..ffcd780 100644 --- a/rsa/rsa_basic.c +++ b/rsa/rsa_basic.c @@ -32,7 +32,7 @@ #include "string-extras.h" #endif -void rsa_enc(bigint_t* data, rsa_publickey_t* key){ +void rsa_enc(bigint_t* data, const rsa_publickey_t* key){ /* cli_putstr("\r\n -->rsa_enc()\r\n m = "); bigint_print_hex(data); @@ -41,7 +41,7 @@ void rsa_enc(bigint_t* data, rsa_publickey_t* key){ cli_putstr("\r\n n = "); bigint_print_hex(key->modulus); */ - bigint_expmod_u(data, data, key->exponent, key->modulus); + bigint_expmod_u(data, data, &key->exponent, &key->modulus); } /* @@ -52,47 +52,47 @@ h = (m1 - m2) * qinv % p m = m2 + q * h */ -uint8_t rsa_dec_crt_mono(bigint_t* data, rsa_privatekey_t* key){ +uint8_t rsa_dec_crt_mono(bigint_t* data, const rsa_privatekey_t* key){ bigint_t m1, m2; - m1.wordv = malloc(key->components[0]->length_B * sizeof(bigint_word_t)); - m2.wordv = malloc(key->components[1]->length_B * sizeof(bigint_word_t)); + m1.wordv = malloc(key->components[0].length_B * sizeof(bigint_word_t)); + m2.wordv = malloc(key->components[1].length_B * sizeof(bigint_word_t)); if(!m1.wordv || !m2.wordv){ #if DEBUG cli_putstr("\r\nERROR: OOM!"); #endif - free(m1.wordv); free(m2.wordv); + free(m1.wordv); return 1; } #if DEBUG cli_putstr("\r\nDBG: expmod m1 ..."); #endif - bigint_expmod_u(&m1, data, key->components[2], key->components[0]); + bigint_expmod_u(&m1, data, &key->components[2], &key->components[0]); #if DEBUG cli_putstr("expmod m2 ..."); #endif - bigint_expmod_u(&m2, data, key->components[3], key->components[1]); + bigint_expmod_u(&m2, data, &key->components[3], &key->components[1]); bigint_sub_s(&m1, &m1, &m2); while(BIGINT_NEG_MASK & m1.info){ - bigint_add_s(&m1, &m1, key->components[0]); + bigint_add_s(&m1, &m1, &key->components[0]); } #if DEBUG cli_putstr("\r\nDBG: reduce-mul ..."); #endif - bigint_reduce(&m1, key->components[0]); - bigint_mul_u(data, &m1, key->components[4]); - bigint_reduce(data, key->components[0]); - bigint_mul_u(data, data, key->components[1]); + bigint_reduce(&m1, &key->components[0]); + bigint_mul_u(data, &m1, &key->components[4]); + bigint_reduce(data, &key->components[0]); + bigint_mul_u(data, data, &key->components[1]); bigint_add_u(data, data, &m2); - free(m1.wordv); free(m2.wordv); + free(m1.wordv); return 0; } -uint8_t rsa_dec(bigint_t* data, rsa_privatekey_t* key){ +uint8_t rsa_dec(bigint_t* data, const rsa_privatekey_t* key){ if(key->n == 1){ - bigint_expmod_u(data, data, key->components[0], key->modulus); + bigint_expmod_u(data, data, &key->components[0], &key->modulus); return 0; } if(key->n == 5){ @@ -139,6 +139,7 @@ void rsa_os2ip(bigint_t* dest, const void* data, uint32_t length_B){ cli_hexdump_rev(&(dest->length_B), 2); #endif #endif + dest->info = 0; bigint_changeendianess(dest); bigint_adjust(dest); } diff --git a/rsa/rsa_basic.h b/rsa/rsa_basic.h index 4dc705d..85b9ef3 100644 --- a/rsa/rsa_basic.h +++ b/rsa/rsa_basic.h @@ -23,14 +23,14 @@ #include "bigint.h" typedef struct { - bigint_t* exponent; - bigint_t* modulus; + bigint_t exponent; + bigint_t modulus; } rsa_publickey_t; typedef struct { uint8_t n; - bigint_t* modulus; - bigint_t** components; + bigint_t modulus; + bigint_t* components; } rsa_privatekey_t; @@ -40,8 +40,8 @@ typedef struct { } rsa_fullkey_t; -void rsa_enc(bigint_t* data, rsa_publickey_t* key); -uint8_t rsa_dec(bigint_t* data, rsa_privatekey_t* key); +void rsa_enc(bigint_t* data, const rsa_publickey_t* key); +uint8_t rsa_dec(bigint_t* data, const rsa_privatekey_t* key); void rsa_os2ip(bigint_t* dest, const void* data, uint32_t length_B); void rsa_i2osp(void* dest, bigint_t* src, uint16_t* out_length_B); diff --git a/rsa/rsa_oaep.c b/rsa/rsa_oaep.c deleted file mode 100644 index 88526e6..0000000 --- a/rsa/rsa_oaep.c +++ /dev/null @@ -1,228 +0,0 @@ - -/* rsa_oaep.c */ -/* - This file is part of the ARM-Crypto-Lib. - Copyright (C) 2006-2012 Daniel Otte (daniel.otte@rub.de) - - This program is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - This program is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License - along with this program. If not, see . -*/ - -#include -#include -#include -#include "memxor.h" -#include "mgf1.h" -#include "bigint.h" -#include "rsa_basic.h" -#include "rsa_oaep.h" - -#include "random_dummy.h" - -#include "hfal/hfal_sha1.h" - -#include "cli.h" -#include "uart_lowlevel.h" - -mgf1_parameter_t mgf1_default_parameter = { - &sha1_desc -}; - -rsa_oaep_parameter_t rsa_oaep_default_parameter = { - mgf1, - &sha1_desc, - &mgf1_default_parameter -}; - -rsa_label_t rsa_oaep_default_label = { - 0, NULL -}; - -uint8_t rsa_encrypt_oaep(void* dest, uint16_t* out_length, - const void* src, uint16_t length_B, - rsa_publickey_t* key, const rsa_oaep_parameter_t *p, - const rsa_label_t* label, const void* seed){ - - if(!p){ - p = &rsa_oaep_default_parameter; - } - if(!label){ - label = &rsa_oaep_default_label; - } - uint16_t hv_len = (hfal_hash_getHashsize(p->hf)+7)/8; - if(length_B > bigint_length_B(key->modulus) - 2*hv_len - 2){ - /* message too long */ - return 1; - } - uint16_t buffer_len = bigint_length_B(key->modulus); -/* - cli_putstr("\r\n buffer_len = "); - cli_hexdump_rev(&buffer_len, 2); - cli_putstr("\r\n modulus_len = "); - cli_hexdump_rev(&key->modulus->length_B, 2); -*/ - uint8_t* buffer = (uint8_t*)dest; - uint8_t off; - /* the following needs some explanation: - * off is the offset which is used for compensating the effect of - * changeendian() when it operates on multi-byte words. - * */ - off = (sizeof(bigint_word_t) -(bigint_get_first_set_bit(key->modulus)/8+1)%(sizeof(bigint_word_t)*8)) - % (sizeof(bigint_word_t)); - buffer += off; - buffer_len -= off; -// cli_putstr("\r\n off = "); -// cli_hexdump_byte(off); - uint8_t* seed_buffer = buffer + 1; - uint16_t db_len = buffer_len - hv_len - 1; - uint8_t* db = seed_buffer + hv_len; - uint16_t maskbuffer_len = db_len>hv_len?db_len:hv_len; - uint8_t maskbuffer[maskbuffer_len]; - bigint_t x; - - memset(dest, 0, seed_buffer - buffer + off); - memset(db + hv_len, 0, db_len - hv_len - length_B -1); - hfal_hash_mem(p->hf, db, label->label, label->length_b); - db[db_len - length_B - 1] = 0x01; - memcpy(db+db_len - length_B, src, length_B); - if(seed){ - memcpy(seed_buffer, seed, hv_len); - }else{ - /* generate random seed */ - if(!prng_get_byte){ - return 2; /* ERROR: no random generator specified */ - } - uint16_t i; - for(i=0; imodulus), 4, 16); - p->mgf(maskbuffer, seed_buffer, hv_len, db_len, p->mgf_parameter); - memxor(db, maskbuffer, db_len); - p->mgf(maskbuffer, db, db_len, hv_len, p->mgf_parameter); - memxor(seed_buffer, maskbuffer, hv_len); -// cli_putstr("\r\n msg (raw, post-feistel):\r\n"); -// cli_hexdump_block(dest, bigint_length_B(key->modulus), 4, 16); - - x.wordv = dest; - bigint_adjust(&x); - - rsa_os2ip(&x, NULL, bigint_length_B(key->modulus)); - rsa_enc(&x, key); - rsa_i2osp(NULL, &x, out_length); - return 0; -} - -uint8_t rsa_decrypt_oaep(void* dest, uint16_t* out_length, - const void* src, uint16_t length_B, - rsa_privatekey_t* key, const rsa_oaep_parameter_t *p, - const rsa_label_t* label, void* seed){ - -// cli_putstr("\r\n -->rsa_decrypt_oaep()"); uart_flush(0); - if(!label){ - label = &rsa_oaep_default_label; - } - if(!p){ - p = &rsa_oaep_default_parameter; - } - uint16_t x_len, data_len; - bigint_t x; - uint16_t hv_len = hfal_hash_getHashsize(p->hf)/8; - uint8_t label_hv[hv_len]; - uint16_t msg_len = bigint_get_first_set_bit(key->modulus) / 8 + 1; - uint16_t db_len = msg_len - hv_len - 1; - uint8_t maskbuffer[db_len>hv_len?db_len:hv_len]; - - uint8_t *seed_buffer = dest; - uint8_t *db_buffer = seed_buffer + hv_len; - - x_len = bigint_get_first_set_bit(key->modulus)/8; - memset(dest, 0, bigint_length_B(key->modulus) - length_B); - memcpy((uint8_t*)dest + bigint_length_B(key->modulus) - length_B, src, length_B); - -// cli_putc('a'); uart_flush(0); - - x.wordv = dest; - x.length_B = key->modulus->length_B; - x.info = 0; - bigint_adjust(&x); - - -// cli_putc('b'); uart_flush(0); - rsa_os2ip(&x, NULL, bigint_length_B(key->modulus)); -// cli_putc('c'); uart_flush(0); - rsa_dec(&x, key); -// cli_putc('d'); uart_flush(0); - rsa_i2osp(NULL, &x, &data_len); - -// cli_putstr("\r\n msg (raw, pre-move):\r\n"); -// cli_hexdump_block(dest, bigint_length_B(key->modulus), 4, 16); - - if(data_len > x_len){ - return 7; - } -/* - cli_putstr("\r\n moving some bytes; x_len = "); - cli_hexdump_rev(&x_len, 2); - cli_putstr(" data_len = "); - cli_hexdump_rev(&data_len, 2); - uart_flush(0); -*/ - if(x_len != data_len){ - memmove((uint8_t*)dest + x_len - data_len, dest, data_len); -// cli_putstr(" (oh, not dead yet?!)"); -// uart_flush(0); - memset(dest, 0, x_len - data_len); - } - - hfal_hash_mem(p->hf, label_hv, label->label, label->length_b); -/* - cli_putstr("\r\n msg (raw, pre-feistel):\r\n"); - cli_hexdump_block(seed_buffer, bigint_length_B(key->modulus), 4, 16); - uart_flush(0); -*/ - p->mgf(maskbuffer, db_buffer, db_len, hv_len, p->mgf_parameter); - memxor(seed_buffer, maskbuffer, hv_len); - p->mgf(maskbuffer, seed_buffer, hv_len, db_len, p->mgf_parameter); - memxor(db_buffer, maskbuffer, db_len); - - if(memcmp(label_hv, db_buffer, hv_len)){ -// cli_putstr("\r\nDBG: DB:\r\n"); -// cli_hexdump_block(db_buffer, db_len, 4, 16); - return 2; - } - - uint16_t ps_len=0; - while(db_buffer[hv_len + ps_len++] == 0) - ; - - --ps_len; - if(db_buffer[hv_len + ps_len] != 1){ - return 3; - } - - if(seed){ - memcpy(seed, seed_buffer, hv_len); - } - - msg_len = db_len - hv_len - 1 - ps_len; - memmove(dest, db_buffer + hv_len + ps_len + 1, msg_len); - - *out_length = msg_len; - - return 0; -} - - diff --git a/rsa/rsa_oaep.h b/rsa/rsa_oaep.h deleted file mode 100644 index 8084653..0000000 --- a/rsa/rsa_oaep.h +++ /dev/null @@ -1,54 +0,0 @@ -/* rsa_oaep.h */ -/* - This file is part of the AVR-Crypto-Lib. - Copyright (C) 2012 Daniel Otte (daniel.otte@rub.de) - - This program is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - This program is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License - along with this program. If not, see . -*/ - -#ifndef RSA_OAEP_H_ -#define RSA_OAEP_H_ - -#include -#include "mgf1.h" - - -void mgf1(void* dest, const void* seed, uint16_t seed_len_B, uint16_t out_length_B, const mgf1_parameter_t* p); - - -typedef struct { - void (*mgf)(void* dst, const void* seed, uint16_t slen_B, uint16_t dstlen_B, const mgf1_parameter_t* p); - const hfdesc_t* hf; - mgf1_parameter_t* mgf_parameter; -} rsa_oaep_parameter_t; - -typedef struct { - uint16_t length_b; - const void* label; -} rsa_label_t; - -extern rsa_oaep_parameter_t rsa_oaep_default_parameter; -extern rsa_label_t rsa_oaep_default_label; - -uint8_t rsa_encrypt_oaep(void* dest, uint16_t* out_length, - const void* src, uint16_t length_B, - rsa_publickey_t* key, const rsa_oaep_parameter_t *p, - const rsa_label_t* label, const void* seed); - -uint8_t rsa_decrypt_oaep(void* dest, uint16_t* out_length, - const void* src, uint16_t length_B, - rsa_privatekey_t* key, const rsa_oaep_parameter_t *p, - const rsa_label_t* label, void* seed); - -#endif /* RSA_OAEP_H_ */ diff --git a/rsa/rsa_pkcs15.c b/rsa/rsa_pkcs15.c deleted file mode 100644 index 1db7d3f..0000000 --- a/rsa/rsa_pkcs15.c +++ /dev/null @@ -1,142 +0,0 @@ -/* rsa_pkcs15.c */ -/* - This file is part of the ARM-Crypto-Lib. - Copyright (C) 2006-2011 Daniel Otte (daniel.otte@rub.de) - - This program is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - This program is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License - along with this program. If not, see . -*/ - -#include -#include -#include -#include "bigint.h" -#include "rsa_basic.h" - -#define DEBUG 0 - -#if DEBUG -#include "bigint_io.h" -#include "cli.h" -#endif - -#include "random_dummy.h" - -uint16_t rsa_pkcs15_compute_padlength_B(bigint_t* modulus, uint16_t msg_length_B){ - return bigint_get_first_set_bit(modulus) / 8 + 1 - msg_length_B - 3; -} - -uint8_t rsa_encrypt_pkcs15(void* dest, uint16_t* out_length, const void* src, - uint16_t length_B, rsa_publickey_t* key, const void* pad){ - int16_t pad_length; - bigint_t x; - pad_length = rsa_pkcs15_compute_padlength_B(key->modulus, length_B); - if(pad_length<8){ -#if DEBUG - cli_putstr("\r\nERROR: pad_length<8; pad_length: "); - cli_hexdump_rev(&pad_length, 2); -#endif - return 2; /* message to long */ - } - if(!pad){ -#if DEBUG - cli_putstr("\r\nauto-generating pad ..."); -#endif - uint16_t i; - uint8_t c; - for(i=0; i=m_length){ - return 1; - } - if(((uint8_t*)x.wordv)[idx]!=2){ - return 3; - } - - ++idx; - while(((uint8_t*)x.wordv)[idx+pad_length]!=0 && (idx+pad_length)=m_length){ - return 2; - } - *out_length = m_length - idx - pad_length - 1; - if(pad){ -#if DEBUG - cli_putstr("\r\npadding block:"); - cli_hexdump_block(((uint8_t*)x.wordv)+idx, pad_length, 4, 16); - cli_putstr("\r\npad @ 0x"); - cli_hexdump_rev(&pad, 2); - cli_putstr("\r\ndst @ 0x"); - cli_hexdump_rev(&dest, 2); -#endif - memcpy(pad, ((uint8_t*)x.wordv)+idx, pad_length); - } - memmove(dest, ((uint8_t*)x.wordv) + idx + pad_length + 1, m_length - idx - pad_length - 1); - - return 0; -} - diff --git a/rsa/rsa_pkcs15.h b/rsa/rsa_pkcs15.h deleted file mode 100644 index ff1b26d..0000000 --- a/rsa/rsa_pkcs15.h +++ /dev/null @@ -1,35 +0,0 @@ -/* rsa_pkcs15.h */ -/* - This file is part of the AVR-Crypto-Lib. - Copyright (C) 2011 Daniel Otte (daniel.otte@rub.de) - - This program is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - This program is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License - along with this program. If not, see . -*/ - -#ifndef RSA_PKCS15_H_ -#define RSA_PKCS15_H_ - -#include -#include "bigint.h" - -uint16_t rsa_pkcs15_compute_padlength_B(bigint_t* modulus, uint16_t msg_length_B); - - -uint8_t rsa_encrypt_pkcs15(void* dest, uint16_t* out_length, const void* src, - uint16_t length_B, rsa_publickey_t* key, const void* pad); - -uint8_t rsa_decrypt_pkcs15(void* dest, uint16_t* out_length, const void* src, - uint16_t length_B, rsa_privatekey_t* key, void* pad); - -#endif /* RSA_PKCS15_H_ */ diff --git a/rsa/rsassa_pkcs1v15.c b/rsa/rsassa_pkcs1v15.c new file mode 100644 index 0000000..c5ad2d2 --- /dev/null +++ b/rsa/rsassa_pkcs1v15.c @@ -0,0 +1,197 @@ +/* rsassa_pkcs1v15.c */ +/* + This file is part of the ARM-Crypto-Lib. + Copyright (C) 2006-2012 Daniel Otte (daniel.otte@rub.de) + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . +*/ + +#include +#include +#include +#include "rsa_basic.h" +#include "bigint.h" +#include "rsassa_pkcs1v15.h" + +#include "cli.h" + +const uint8_t md5_prefix[] = +{ 0x30, 0x20, 0x30, 0x0c, 0x06, 0x08, 0x2a, 0x86, + 0x48, 0x86, 0xf7, 0x0d, 0x02, 0x05, 0x05, 0x00, + 0x04, 0x10 +}; + +const pkcs1v15_algo_prefix_t pkcs1v15_md5_prefix = { + 18, md5_prefix +}; + +const uint8_t sha1_prefix[] = +{ 0x30, 0x21, 0x30, 0x09, 0x06, 0x05, 0x2b, 0x0e, + 0x03, 0x02, 0x1a, 0x05, 0x00, 0x04, 0x14 +}; + +const pkcs1v15_algo_prefix_t pkcs1v15_sha1_prefix = { + 15, sha1_prefix +}; + +const uint8_t sha224_prefix[] = +{ 0x30, 0x2d, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, + 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x04, 0x05, + 0x00, 0x04, 0x1c +}; + +const pkcs1v15_algo_prefix_t pkcs1v15_sha224_prefix = { + 19, sha224_prefix +}; + +const uint8_t sha256_prefix[] = +{ 0x30, 0x51, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, + 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, + 0x00, 0x04, 0x20 +}; + +const pkcs1v15_algo_prefix_t pkcs1v15_sha256_prefix = { + 19, sha256_prefix +}; + +const uint8_t sha384_prefix[] = +{ 0x30, 0x51, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, + 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x02, 0x05, + 0x00, 0x04, 0x30 +}; + +const pkcs1v15_algo_prefix_t pkcs1v15_sha384_prefix = { + 19, sha384_prefix +}; + +const uint8_t sha512_prefix[] = +{ 0x30, 0x51, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, + 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x03, 0x05, + 0x00, 0x04, 0x40 +}; + +const pkcs1v15_algo_prefix_t pkcs1v15_sha512_prefix = { + 19, sha512_prefix +}; +/* + +MD2: (0x)30 20 30 0c 06 08 2a 86 48 86 f7 0d 02 02 05 00 04 10 +MD5: (0x)30 20 30 0c 06 08 2a 86 48 86 f7 0d 02 05 05 00 04 10 +SHA-1: (0x)30 21 30 09 06 05 2b 0e 03 02 1a 05 00 04 14 +SHA-224: (0x)30 2d 30 0d 06 09 60 86 48 01 65 03 04 02 04 05 00 04 1c +SHA-256: (0x)30 51 30 0d 06 09 60 86 48 01 65 03 04 02 01 05 00 04 20 +SHA-384: (0x)30 51 30 0d 06 09 60 86 48 01 65 03 04 02 02 05 00 04 30 +SHA-512: (0x)30 51 30 0d 06 09 60 86 48 01 65 03 04 02 03 05 00 04 40 + +*/ + +static +uint8_t emsa_pkcs1v15_encode(void* dest, uint16_t dest_length_B, const void* hash, + uint16_t hash_length_B, const pkcs1v15_algo_prefix_t* algo_prefix){ + uint16_t ps_length; + + if(dest_length_B < algo_prefix->length + hash_length_B + 3 + 8){ + return 1; + } + ps_length = dest_length_B - (algo_prefix->length + hash_length_B + 3); + ((uint8_t*)dest)[0] = 0x00; + ((uint8_t*)dest)[1] = 0x01; + ((uint8_t*)dest)[2 + ps_length] = 0x00; + memset((uint8_t*)dest + 2, 0xff, ps_length); + memcpy((uint8_t*)dest + 3 + ps_length, algo_prefix->data, algo_prefix->length); + memcpy((uint8_t*)dest + 3 + ps_length + algo_prefix->length, hash, hash_length_B); + return 0; +} + +uint8_t rsa_sign_pkcs1v15(void* dest, uint16_t* out_length_B, const void* hash, + uint16_t hash_length_B, const rsa_privatekey_t* key, + const pkcs1v15_algo_prefix_t* algo_prefix){ + uint8_t r; + uint16_t modulus_length; + bigint_t x; + modulus_length = bigint_get_first_set_bit(&key->modulus) / 8 + 1; + r = emsa_pkcs1v15_encode(dest, modulus_length, hash, hash_length_B, algo_prefix); + if(r){ + return r; + } + x.wordv = dest; + rsa_os2ip(&x, NULL, modulus_length); + rsa_dec(&x, key); + rsa_i2osp(NULL, &x, out_length_B); + + return 0; +} + + +uint8_t rsa_verify_pkcs1v15(const void* signature, uint16_t signature_length_B, + const void* hash, uint16_t hash_length_B, const rsa_publickey_t* key, + const pkcs1v15_algo_prefix_t* algo_prefix){ + uint16_t modulus_length; + uint16_t signature_em_length, ps_length; + bigint_t x; + + modulus_length = bigint_get_first_set_bit(&key->modulus) / 8 + 1; +#if PREFERE_HEAP + uint8_t *buffer; + buffer = malloc(bigint_length_B(&key->modulus)); + if(!buffer){ + return 0x80; + } +#else + uint8_t buffer[bigint_length_B(&key->modulus)]; +#endif +/* + cli_putstr("\r\nDBG: signature_length_B: 0x"); + cli_hexdump_rev(&signature_length_B, 2); + cli_putstr("\r\nDBG: modulus_length_B: 0x"); + cli_hexdump_rev(&modulus_length, 2); +*/ + x.wordv = (bigint_word_t*)buffer; + rsa_os2ip(&x, signature, signature_length_B); + rsa_enc(&x, key); + rsa_i2osp(NULL, &x, &signature_em_length); +/* + cli_putstr("\r\nDBG: signature_em_length_B: 0x"); + cli_hexdump_rev(&signature_em_length, 2); +*/ + if(signature_em_length + 1 != modulus_length){ + return 1; + } + if(memcmp(buffer + modulus_length - hash_length_B - 1, hash, hash_length_B)){ + return 2; + } + ps_length = modulus_length - (algo_prefix->length + hash_length_B + 3); + if((int16_t)ps_length < 8){ + return 3; + } + if(memcmp(buffer + 2 + ps_length, algo_prefix->data, algo_prefix->length)){ + return 4; + } + if(buffer[0] != 1){ + return 6; + } + if(buffer[1 + ps_length] != 0){ + return 7; + } + do{ + if(buffer[ps_length] != 0xff){ + return 8; + } + }while(--ps_length); +#if PREFERE_HEAP + free(buffer); +#endif + + return 0; +} diff --git a/rsa/rsassa_pkcs1v15.h b/rsa/rsassa_pkcs1v15.h new file mode 100644 index 0000000..88e9b56 --- /dev/null +++ b/rsa/rsassa_pkcs1v15.h @@ -0,0 +1,46 @@ +/* rsassa_pkcs1v15.h */ +/* + This file is part of the AVR-Crypto-Lib. + Copyright (C) 2012 Daniel Otte (daniel.otte@rub.de) + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . +*/ + +#ifndef RSASSA_PKCS1V15_H_ +#define RSASSA_PKCS1V15_H_ + +#include +#include "rsa_basic.h" + +typedef struct { + const uint8_t length; + const uint8_t *data; +} pkcs1v15_algo_prefix_t; + +extern const pkcs1v15_algo_prefix_t pkcs1v15_md5_prefix; +extern const pkcs1v15_algo_prefix_t pkcs1v15_sha1_prefix; +extern const pkcs1v15_algo_prefix_t pkcs1v15_sha224_prefix; +extern const pkcs1v15_algo_prefix_t pkcs1v15_sha256_prefix; +extern const pkcs1v15_algo_prefix_t pkcs1v15_sha384_prefix; +extern const pkcs1v15_algo_prefix_t pkcs1v15_sha512_prefix; + +uint8_t rsa_sign_pkcs1v15(void* dest, uint16_t* out_length_B, const void* hash, + uint16_t hash_length_B, const rsa_privatekey_t* key, + const pkcs1v15_algo_prefix_t* algo_prefix); + +uint8_t rsa_verify_pkcs1v15(const void* signature, uint16_t signature_length_B, + const void* hash, uint16_t hash_length_B, const rsa_publickey_t* key, + const pkcs1v15_algo_prefix_t* algo_prefix); + +#endif /* RSASSA_PKCS1V15_H_ */ diff --git a/salsa20/salsa20.c b/salsa20/salsa20.c index 3a01c79..31e45ba 100644 --- a/salsa20/salsa20.c +++ b/salsa20/salsa20.c @@ -110,31 +110,31 @@ void salsa20_genBlock128(void* dest, const void* k, const void* iv, uint64_t i){ void salsa20_init(void* key, uint16_t keylength_b, void* iv, salsa20_ctx_t* ctx){ if(keylength_b==256){ - memcpy((ctx->a+ 0), sigma+ 0, 4); - memcpy((ctx->a+20), sigma+ 4, 4); - memcpy((ctx->a+40), sigma+ 8, 4); - memcpy((ctx->a+44), (uint8_t*)key+16, 16); - memcpy((ctx->a+60), sigma+12, 4); + memcpy((ctx->a.v8+ 0), sigma+ 0, 4); + memcpy((ctx->a.v8+20), sigma+ 4, 4); + memcpy((ctx->a.v8+40), sigma+ 8, 4); + memcpy((ctx->a.v8+44), (uint8_t*)key+16, 16); + memcpy((ctx->a.v8+60), sigma+12, 4); }else{ - memcpy((ctx->a+ 0), theta+ 0, 4); - memcpy((ctx->a+20), theta+ 4, 4); - memcpy((ctx->a+40), theta+ 8, 4); - memcpy((ctx->a+44), (uint8_t*)key+ 0, 16); - memcpy((ctx->a+60), theta+12, 4); + memcpy((ctx->a.v8+ 0), theta+ 0, 4); + memcpy((ctx->a.v8+20), theta+ 4, 4); + memcpy((ctx->a.v8+40), theta+ 8, 4); + memcpy((ctx->a.v8+44), (uint8_t*)key+ 0, 16); + memcpy((ctx->a.v8+60), theta+12, 4); } - memcpy((ctx->a+ 4), key, 16); - memset((ctx->a+24), 0, 16); + memcpy((ctx->a.v8+ 4), key, 16); + memset((ctx->a.v8+24), 0, 16); if(iv){ - memcpy((ctx->a+24), iv, 8); + memcpy((ctx->a.v8+24), iv, 8); } ctx->buffer_idx=64; } uint8_t salsa20_gen(salsa20_ctx_t* ctx){ if(ctx->buffer_idx==64){ - memcpy(ctx->buffer, ctx->a, 64); + memcpy(ctx->buffer, ctx->a.v8, 64); salsa20_hash((uint32_t*)(ctx->buffer)); - *((uint64_t*)(ctx->a+32)) += 1; + ctx->a.v64[4] += 1; ctx->buffer_idx = 0; } return ctx->buffer[ctx->buffer_idx++]; diff --git a/salsa20/salsa20.h b/salsa20/salsa20.h index ddfd743..b618bd8 100644 --- a/salsa20/salsa20.h +++ b/salsa20/salsa20.h @@ -23,7 +23,10 @@ #include typedef struct{ - uint8_t a[64]; + union { + uint8_t v8[64]; + uint64_t v64[ 8]; + } a; uint8_t buffer[64]; uint8_t buffer_idx; } salsa20_ctx_t; diff --git a/sha1/sha1.c b/sha1/sha1.c index 740fe67..d8249a4 100644 --- a/sha1/sha1.c +++ b/sha1/sha1.c @@ -183,7 +183,7 @@ void sha1_lastBlock(sha1_ctx_t *state, const void* block, uint16_t length){ /********************************************************************************************************/ -void sha1_ctx2hash (sha1_hash_t *dest, sha1_ctx_t *state){ +void sha1_ctx2hash (void *dest, sha1_ctx_t *state){ #if defined LITTLE_ENDIAN uint8_t i; for(i=0; i<5; ++i){ @@ -202,7 +202,7 @@ void sha1_ctx2hash (sha1_hash_t *dest, sha1_ctx_t *state){ * * */ -void sha1 (sha1_hash_t *dest, const void* msg, uint32_t length){ +void sha1 (void *dest, const void* msg, uint32_t length){ sha1_ctx_t s; sha1_init(&s); while(length & (~0x0001ff)){ /* length>=512 */ diff --git a/sha1/sha1.h b/sha1/sha1.h index aa8029a..e68c3fe 100644 --- a/sha1/sha1.h +++ b/sha1/sha1.h @@ -65,8 +65,9 @@ typedef struct { * \brief hash value type * A variable of this type may hold a SHA-1 hash value */ +/* typedef uint8_t sha1_hash_t[SHA1_HASH_BITS/8]; - +*/ /** \fn sha1_init(sha1_ctx_t *state) * \brief initializes a SHA-1 context * This function sets a ::sha1_ctx_t variable to the initialization vector @@ -100,7 +101,7 @@ void sha1_lastBlock (sha1_ctx_t *state, const void* block, uint16_t length_b); * \param dest pointer to the hash value destination * \param state pointer to the hash context */ -void sha1_ctx2hash (sha1_hash_t *dest, sha1_ctx_t *state); +void sha1_ctx2hash (void *dest, sha1_ctx_t *state); /** \fn sha1(sha1_hash_t *dest, const void* msg, uint32_t length_b) * \brief hashing a message which in located entirely in RAM @@ -110,7 +111,7 @@ void sha1_ctx2hash (sha1_hash_t *dest, sha1_ctx_t *state); * \param msg pointer to the message which should be hashed * \param length_b length of the message in bits */ -void sha1(sha1_hash_t *dest, const void* msg, uint32_t length_b); +void sha1(void *dest, const void* msg, uint32_t length_b); diff --git a/test_src/dbz_strings.c b/test_src/dbz_strings.c index 2004544..2ee3139 100644 --- a/test_src/dbz_strings.c +++ b/test_src/dbz_strings.c @@ -47,7 +47,7 @@ uint8_t dbz_strcount(const char* str){ /******************************************************************************/ -void dbz_splitup(char* dbzstr, char** strings){ +void dbz_splitup(const char* dbzstr, const char** strings){ if(*dbzstr=='\0' && *(dbzstr+1)=='\0') return; *strings++ = dbzstr; diff --git a/test_src/dbz_strings.h b/test_src/dbz_strings.h index a6f73ed..3f93d80 100644 --- a/test_src/dbz_strings.h +++ b/test_src/dbz_strings.h @@ -50,6 +50,6 @@ uint8_t dbz_strcount(const char* str); * \param dbzstr pointer to the double-zero-terminated string * \param strings pointer to the array of strings (char pointers) */ -void dbz_splitup(char* dbzstr, char** strings); +void dbz_splitup(const char* dbzstr, const char** strings); #endif /*DBZ_STRINGS_H_*/ diff --git a/test_src/main-md5-test.c b/test_src/main-md5-test.c index c0eb562..db61e6e 100644 --- a/test_src/main-md5-test.c +++ b/test_src/main-md5-test.c @@ -20,11 +20,7 @@ * md5 test suit * */ - -#include "config.h" - -#include "uart_i.h" -#include "debug.h" +#include "main-test-common.h" #include "md5.h" #include "nessie_hash_test.h" @@ -32,14 +28,9 @@ #include "hfal_md5.h" #include "hfal-performance.h" -#include -#include -#include -#include "cli.h" - char* algo_name = "MD5"; -const hfdesc_t* algolist[] PROGMEM = { +const hfdesc_t* algolist[] = { (hfdesc_t*)&md5_desc, NULL }; @@ -126,12 +117,12 @@ void testrun_performance_md5(void){ * main * *****************************************************************************/ -const char nessie_str[] PROGMEM = "nessie"; -const char test_str[] PROGMEM = "test"; -const char performance_str[] PROGMEM = "performance"; -const char echo_str[] PROGMEM = "echo"; +const char nessie_str[] = "nessie"; +const char test_str[] = "test"; +const char performance_str[] = "performance"; +const char echo_str[] = "echo"; -cmdlist_entry_t cmdlist[] PROGMEM = { +cmdlist_entry_t cmdlist[] = { { nessie_str, NULL, testrun_nessie_md5}, { test_str, NULL, testrun_md5}, { performance_str, NULL, testrun_performance_md5}, @@ -140,15 +131,10 @@ cmdlist_entry_t cmdlist[] PROGMEM = { }; int main (void){ - DEBUG_INIT(); + main_setup(); - cli_rx = (cli_rx_fpt)uart0_getc; - cli_tx = (cli_tx_fpt)uart0_putc; - testrun_md5(); for(;;){ - cli_putstr("\r\n\r\nCrypto-VS ("); - cli_putstr(algo_name); - cli_putstr(")\r\nloaded and running\r\n"); + welcome_msg(algo_name); cmd_interface(cmdlist); } } diff --git a/test_src/main-rsa_oaep-test.c b/test_src/main-rsa_oaep-test.c deleted file mode 100644 index e6555ae..0000000 --- a/test_src/main-rsa_oaep-test.c +++ /dev/null @@ -1,841 +0,0 @@ -/* main-dsa-test.c */ -/* - This file is part of the ARM-Crypto-Lib. - Copyright (C) 2010 Daniel Otte (daniel.otte@rub.de) - - This program is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - This program is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License - along with this program. If not, see . -*/ -/* - * RSA test-suit - * -*/ -#include "main-test-common.h" - -#include "noekeon.h" -#include "noekeon_prng.h" -#include "bigint.h" -#include "bigint_io.h" -#include "random_dummy.h" -#include "rsa_basic.h" -#include "rsa_oaep.h" - -#include "performance_test.h" - -const char* algo_name = "RSA-OAEP"; - -#define BIGINT_CEIL(x) ((((x) + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t)) * sizeof(bigint_word_t)) -#define BIGINT_OFF(x) ((sizeof(bigint_word_t) - (x) % sizeof(bigint_word_t)) % sizeof(bigint_word_t)) - -/***************************************************************************** - * additional validation-functions * - *****************************************************************************/ -#if 0 -/* ================================== - * Example 1: A 1024-bit RSA Key Pair - * ================================== */ - -/* ------------------------------ - * Components of the RSA Key Pair - * ------------------------------ */ - -/* RSA modulus n: */ -const uint8_t modulus[] = { -0xa8, 0xb3, 0xb2, 0x84, 0xaf, 0x8e, 0xb5, 0x0b, 0x38, 0x70, 0x34, 0xa8, 0x60, 0xf1, 0x46, 0xc4, -0x91, 0x9f, 0x31, 0x87, 0x63, 0xcd, 0x6c, 0x55, 0x98, 0xc8, 0xae, 0x48, 0x11, 0xa1, 0xe0, 0xab, -0xc4, 0xc7, 0xe0, 0xb0, 0x82, 0xd6, 0x93, 0xa5, 0xe7, 0xfc, 0xed, 0x67, 0x5c, 0xf4, 0x66, 0x85, -0x12, 0x77, 0x2c, 0x0c, 0xbc, 0x64, 0xa7, 0x42, 0xc6, 0xc6, 0x30, 0xf5, 0x33, 0xc8, 0xcc, 0x72, -0xf6, 0x2a, 0xe8, 0x33, 0xc4, 0x0b, 0xf2, 0x58, 0x42, 0xe9, 0x84, 0xbb, 0x78, 0xbd, 0xbf, 0x97, -0xc0, 0x10, 0x7d, 0x55, 0xbd, 0xb6, 0x62, 0xf5, 0xc4, 0xe0, 0xfa, 0xb9, 0x84, 0x5c, 0xb5, 0x14, -0x8e, 0xf7, 0x39, 0x2d, 0xd3, 0xaa, 0xff, 0x93, 0xae, 0x1e, 0x6b, 0x66, 0x7b, 0xb3, 0xd4, 0x24, -0x76, 0x16, 0xd4, 0xf5, 0xba, 0x10, 0xd4, 0xcf, 0xd2, 0x26, 0xde, 0x88, 0xd3, 0x9f, 0x16, 0xfb -}; - -/* RSA public exponent e: */ -const uint8_t public_exponent[] = { -0x00, 0x01, 0x00, 0x01 -}; - -/* RSA private exponent d: */ -const uint8_t private_exponent[] = { -0x53, 0x33, 0x9c, 0xfd, 0xb7, 0x9f, 0xc8, 0x46, 0x6a, 0x65, 0x5c, 0x73, 0x16, 0xac, 0xa8, 0x5c, -0x55, 0xfd, 0x8f, 0x6d, 0xd8, 0x98, 0xfd, 0xaf, 0x11, 0x95, 0x17, 0xef, 0x4f, 0x52, 0xe8, 0xfd, -0x8e, 0x25, 0x8d, 0xf9, 0x3f, 0xee, 0x18, 0x0f, 0xa0, 0xe4, 0xab, 0x29, 0x69, 0x3c, 0xd8, 0x3b, -0x15, 0x2a, 0x55, 0x3d, 0x4a, 0xc4, 0xd1, 0x81, 0x2b, 0x8b, 0x9f, 0xa5, 0xaf, 0x0e, 0x7f, 0x55, -0xfe, 0x73, 0x04, 0xdf, 0x41, 0x57, 0x09, 0x26, 0xf3, 0x31, 0x1f, 0x15, 0xc4, 0xd6, 0x5a, 0x73, -0x2c, 0x48, 0x31, 0x16, 0xee, 0x3d, 0x3d, 0x2d, 0x0a, 0xf3, 0x54, 0x9a, 0xd9, 0xbf, 0x7c, 0xbf, -0xb7, 0x8a, 0xd8, 0x84, 0xf8, 0x4d, 0x5b, 0xeb, 0x04, 0x72, 0x4d, 0xc7, 0x36, 0x9b, 0x31, 0xde, -0xf3, 0x7d, 0x0c, 0xf5, 0x39, 0xe9, 0xcf, 0xcd, 0xd3, 0xde, 0x65, 0x37, 0x29, 0xea, 0xd5, 0xd1 -}; - -/* Prime p: */ -const uint8_t p[] = { -0xd3, 0x27, 0x37, 0xe7, 0x26, 0x7f, 0xfe, 0x13, 0x41, 0xb2, 0xd5, 0xc0, 0xd1, 0x50, 0xa8, 0x1b, -0x58, 0x6f, 0xb3, 0x13, 0x2b, 0xed, 0x2f, 0x8d, 0x52, 0x62, 0x86, 0x4a, 0x9c, 0xb9, 0xf3, 0x0a, -0xf3, 0x8b, 0xe4, 0x48, 0x59, 0x8d, 0x41, 0x3a, 0x17, 0x2e, 0xfb, 0x80, 0x2c, 0x21, 0xac, 0xf1, -0xc1, 0x1c, 0x52, 0x0c, 0x2f, 0x26, 0xa4, 0x71, 0xdc, 0xad, 0x21, 0x2e, 0xac, 0x7c, 0xa3, 0x9d -}; - -/* Prime q: */ -const uint8_t q[] = { -0xcc, 0x88, 0x53, 0xd1, 0xd5, 0x4d, 0xa6, 0x30, 0xfa, 0xc0, 0x04, 0xf4, 0x71, 0xf2, 0x81, 0xc7, -0xb8, 0x98, 0x2d, 0x82, 0x24, 0xa4, 0x90, 0xed, 0xbe, 0xb3, 0x3d, 0x3e, 0x3d, 0x5c, 0xc9, 0x3c, -0x47, 0x65, 0x70, 0x3d, 0x1d, 0xd7, 0x91, 0x64, 0x2f, 0x1f, 0x11, 0x6a, 0x0d, 0xd8, 0x52, 0xbe, -0x24, 0x19, 0xb2, 0xaf, 0x72, 0xbf, 0xe9, 0xa0, 0x30, 0xe8, 0x60, 0xb0, 0x28, 0x8b, 0x5d, 0x77 -}; - -/* p's CRT exponent dP: */ -const uint8_t dp[] = { -0x0e, 0x12, 0xbf, 0x17, 0x18, 0xe9, 0xce, 0xf5, 0x59, 0x9b, 0xa1, 0xc3, 0x88, 0x2f, 0xe8, 0x04, -0x6a, 0x90, 0x87, 0x4e, 0xef, 0xce, 0x8f, 0x2c, 0xcc, 0x20, 0xe4, 0xf2, 0x74, 0x1f, 0xb0, 0xa3, -0x3a, 0x38, 0x48, 0xae, 0xc9, 0xc9, 0x30, 0x5f, 0xbe, 0xcb, 0xd2, 0xd7, 0x68, 0x19, 0x96, 0x7d, -0x46, 0x71, 0xac, 0xc6, 0x43, 0x1e, 0x40, 0x37, 0x96, 0x8d, 0xb3, 0x78, 0x78, 0xe6, 0x95, 0xc1 -}; - -/* q's CRT exponent dQ: */ -const uint8_t dq[] = { -0x95, 0x29, 0x7b, 0x0f, 0x95, 0xa2, 0xfa, 0x67, 0xd0, 0x07, 0x07, 0xd6, 0x09, 0xdf, 0xd4, 0xfc, -0x05, 0xc8, 0x9d, 0xaf, 0xc2, 0xef, 0x6d, 0x6e, 0xa5, 0x5b, 0xec, 0x77, 0x1e, 0xa3, 0x33, 0x73, -0x4d, 0x92, 0x51, 0xe7, 0x90, 0x82, 0xec, 0xda, 0x86, 0x6e, 0xfe, 0xf1, 0x3c, 0x45, 0x9e, 0x1a, -0x63, 0x13, 0x86, 0xb7, 0xe3, 0x54, 0xc8, 0x99, 0xf5, 0xf1, 0x12, 0xca, 0x85, 0xd7, 0x15, 0x83 -}; - -/* CRT coefficient qInv: */ -const uint8_t qinv[] = { -0x4f, 0x45, 0x6c, 0x50, 0x24, 0x93, 0xbd, 0xc0, 0xed, 0x2a, 0xb7, 0x56, 0xa3, 0xa6, 0xed, 0x4d, -0x67, 0x35, 0x2a, 0x69, 0x7d, 0x42, 0x16, 0xe9, 0x32, 0x12, 0xb1, 0x27, 0xa6, 0x3d, 0x54, 0x11, -0xce, 0x6f, 0xa9, 0x8d, 0x5d, 0xbe, 0xfd, 0x73, 0x26, 0x3e, 0x37, 0x28, 0x14, 0x27, 0x43, 0x81, -0x81, 0x66, 0xed, 0x7d, 0xd6, 0x36, 0x87, 0xdd, 0x2a, 0x8c, 0xa1, 0xd2, 0xf4, 0xfb, 0xd8, 0xe1 -}; - -/* --------------------------------- - * RSAES-OAEP Encryption Example 1.1 - * --------------------------------- */ - -/* Message to be, encrypted: */ -const uint8_t message[] = { -0x66, 0x28, 0x19, 0x4e, 0x12, 0x07, 0x3d, 0xb0, 0x3b, 0xa9, 0x4c, 0xda, 0x9e, 0xf9, 0x53, 0x23, -0x97, 0xd5, 0x0d, 0xba, 0x79, 0xb9, 0x87, 0x00, 0x4a, 0xfe, 0xfe, 0x34 -}; - -/* Seed: */ -const uint8_t seed[] = { -0x18, 0xb7, 0x76, 0xea, 0x21, 0x06, 0x9d, 0x69, 0x77, 0x6a, 0x33, 0xe9, 0x6b, 0xad, 0x48, 0xe1, -0xdd, 0xa0, 0xa5, 0xef -}; - -/* Encryption: */ -const uint8_t encrypted[] = { -0x35, 0x4f, 0xe6, 0x7b, 0x4a, 0x12, 0x6d, 0x5d, 0x35, 0xfe, 0x36, 0xc7, 0x77, 0x79, 0x1a, 0x3f, -0x7b, 0xa1, 0x3d, 0xef, 0x48, 0x4e, 0x2d, 0x39, 0x08, 0xaf, 0xf7, 0x22, 0xfa, 0xd4, 0x68, 0xfb, -0x21, 0x69, 0x6d, 0xe9, 0x5d, 0x0b, 0xe9, 0x11, 0xc2, 0xd3, 0x17, 0x4f, 0x8a, 0xfc, 0xc2, 0x01, -0x03, 0x5f, 0x7b, 0x6d, 0x8e, 0x69, 0x40, 0x2d, 0xe5, 0x45, 0x16, 0x18, 0xc2, 0x1a, 0x53, 0x5f, -0xa9, 0xd7, 0xbf, 0xc5, 0xb8, 0xdd, 0x9f, 0xc2, 0x43, 0xf8, 0xcf, 0x92, 0x7d, 0xb3, 0x13, 0x22, -0xd6, 0xe8, 0x81, 0xea, 0xa9, 0x1a, 0x99, 0x61, 0x70, 0xe6, 0x57, 0xa0, 0x5a, 0x26, 0x64, 0x26, -0xd9, 0x8c, 0x88, 0x00, 0x3f, 0x84, 0x77, 0xc1, 0x22, 0x70, 0x94, 0xa0, 0xd9, 0xfa, 0x1e, 0x8c, -0x40, 0x24, 0x30, 0x9c, 0xe1, 0xec, 0xcc, 0xb5, 0x21, 0x00, 0x35, 0xd4, 0x7a, 0xc7, 0x2e, 0x8a -}; - -/* Message to be encrypted: */ -const uint8_t message2[] = { -0x75, 0x0c, 0x40, 0x47, 0xf5, 0x47, 0xe8, 0xe4, 0x14, 0x11, 0x85, 0x65, 0x23, 0x29, 0x8a, 0xc9, -0xba, 0xe2, 0x45, 0xef, 0xaf, 0x13, 0x97, 0xfb, 0xe5, 0x6f, 0x9d, 0xd5 -}; - -/* Seed: */ -const uint8_t seed2[] = { -0x0c, 0xc7, 0x42, 0xce, 0x4a, 0x9b, 0x7f, 0x32, 0xf9, 0x51, 0xbc, 0xb2, 0x51, 0xef, 0xd9, 0x25, -0xfe, 0x4f, 0xe3, 0x5f -}; - -/* Encryption: */ -const uint8_t encrypted2[] = { -0x64, 0x0d, 0xb1, 0xac, 0xc5, 0x8e, 0x05, 0x68, 0xfe, 0x54, 0x07, 0xe5, 0xf9, 0xb7, 0x01, 0xdf, -0xf8, 0xc3, 0xc9, 0x1e, 0x71, 0x6c, 0x53, 0x6f, 0xc7, 0xfc, 0xec, 0x6c, 0xb5, 0xb7, 0x1c, 0x11, -0x65, 0x98, 0x8d, 0x4a, 0x27, 0x9e, 0x15, 0x77, 0xd7, 0x30, 0xfc, 0x7a, 0x29, 0x93, 0x2e, 0x3f, -0x00, 0xc8, 0x15, 0x15, 0x23, 0x6d, 0x8d, 0x8e, 0x31, 0x01, 0x7a, 0x7a, 0x09, 0xdf, 0x43, 0x52, -0xd9, 0x04, 0xcd, 0xeb, 0x79, 0xaa, 0x58, 0x3a, 0xdc, 0xc3, 0x1e, 0xa6, 0x98, 0xa4, 0xc0, 0x52, -0x83, 0xda, 0xba, 0x90, 0x89, 0xbe, 0x54, 0x91, 0xf6, 0x7c, 0x1a, 0x4e, 0xe4, 0x8d, 0xc7, 0x4b, -0xbb, 0xe6, 0x64, 0x3a, 0xef, 0x84, 0x66, 0x79, 0xb4, 0xcb, 0x39, 0x5a, 0x35, 0x2d, 0x5e, 0xd1, -0x15, 0x91, 0x2d, 0xf6, 0x96, 0xff, 0xe0, 0x70, 0x29, 0x32, 0x94, 0x6d, 0x71, 0x49, 0x2b, 0x44 -}; - -/**********************************************************************************************/ -/* --------------------------------- - * RSAES-OAEP Encryption Example 2.1 - * --------------------------------- */ - -/* Message to be encrypted: */ -const uint8_t message3[] = { -0x8f, 0xf0, 0x0c, 0xaa, 0x60, 0x5c, 0x70, 0x28, 0x30, 0x63, 0x4d, 0x9a, 0x6c, 0x3d, 0x42, 0xc6, -0x52, 0xb5, 0x8c, 0xf1, 0xd9, 0x2f, 0xec, 0x57, 0x0b, 0xee, 0xe7 -}; - -/* Seed: */ -const uint8_t seed3[] = { -0x8c, 0x40, 0x7b, 0x5e, 0xc2, 0x89, 0x9e, 0x50, 0x99, 0xc5, 0x3e, 0x8c, 0xe7, 0x93, 0xbf, 0x94, -0xe7, 0x1b, 0x17, 0x82 -}; - -/* Encryption: */ -const uint8_t encrypted3[] = { -0x01, 0x81, 0xaf, 0x89, 0x22, 0xb9, 0xfc, 0xb4, 0xd7, 0x9d, 0x92, 0xeb, 0xe1, 0x98, 0x15, 0x99, -0x2f, 0xc0, 0xc1, 0x43, 0x9d, 0x8b, 0xcd, 0x49, 0x13, 0x98, 0xa0, 0xf4, 0xad, 0x3a, 0x32, 0x9a, -0x5b, 0xd9, 0x38, 0x55, 0x60, 0xdb, 0x53, 0x26, 0x83, 0xc8, 0xb7, 0xda, 0x04, 0xe4, 0xb1, 0x2a, -0xed, 0x6a, 0xac, 0xdf, 0x47, 0x1c, 0x34, 0xc9, 0xcd, 0xa8, 0x91, 0xad, 0xdc, 0xc2, 0xdf, 0x34, -0x56, 0x65, 0x3a, 0xa6, 0x38, 0x2e, 0x9a, 0xe5, 0x9b, 0x54, 0x45, 0x52, 0x57, 0xeb, 0x09, 0x9d, -0x56, 0x2b, 0xbe, 0x10, 0x45, 0x3f, 0x2b, 0x6d, 0x13, 0xc5, 0x9c, 0x02, 0xe1, 0x0f, 0x1f, 0x8a, -0xbb, 0x5d, 0xa0, 0xd0, 0x57, 0x09, 0x32, 0xda, 0xcf, 0x2d, 0x09, 0x01, 0xdb, 0x72, 0x9d, 0x0f, -0xef, 0xcc, 0x05, 0x4e, 0x70, 0x96, 0x8e, 0xa5, 0x40, 0xc8, 0x1b, 0x04, 0xbc, 0xae, 0xfe, 0x72, -0x0e -}; -#endif -/**********************************************************************************************/ - -/* --------------------------------- - * RSAES-OAEP Encryption Example 2.4 - * --------------------------------- */ - -/* Message to be encrypted: */ -const uint8_t message4[] = { -0xa7, 0xeb, 0x2a, 0x50, 0x36, 0x93, 0x1d, 0x27, 0xd4, 0xe8, 0x91, 0x32, 0x6d, 0x99, 0x69, 0x2f, -0xfa, 0xdd, 0xa9, 0xbf, 0x7e, 0xfd, 0x3e, 0x34, 0xe6, 0x22, 0xc4, 0xad, 0xc0, 0x85, 0xf7, 0x21, -0xdf, 0xe8, 0x85, 0x07, 0x2c, 0x78, 0xa2, 0x03, 0xb1, 0x51, 0x73, 0x9b, 0xe5, 0x40, 0xfa, 0x8c, -0x15, 0x3a, 0x10, 0xf0, 0x0a -}; - -/* Seed: */ -const uint8_t seed4[] = { -0x9a, 0x7b, 0x3b, 0x0e, 0x70, 0x8b, 0xd9, 0x6f, 0x81, 0x90, 0xec, 0xab, 0x4f, 0xb9, 0xb2, 0xb3, -0x80, 0x5a, 0x81, 0x56 -}; - -/* Encryption: */ -const uint8_t encrypted4[] = { -/* 0x00,*/ 0xa4, 0x57, 0x8c, 0xbc, 0x17, 0x63, 0x18, 0xa6, 0x38, 0xfb, 0xa7, 0xd0, 0x1d, 0xf1, 0x57, -0x46, 0xaf, 0x44, 0xd4, 0xf6, 0xcd, 0x96, 0xd7, 0xe7, 0xc4, 0x95, 0xcb, 0xf4, 0x25, 0xb0, 0x9c, -0x64, 0x9d, 0x32, 0xbf, 0x88, 0x6d, 0xa4, 0x8f, 0xba, 0xf9, 0x89, 0xa2, 0x11, 0x71, 0x87, 0xca, -0xfb, 0x1f, 0xb5, 0x80, 0x31, 0x76, 0x90, 0xe3, 0xcc, 0xd4, 0x46, 0x92, 0x0b, 0x7a, 0xf8, 0x2b, -0x31, 0xdb, 0x58, 0x04, 0xd8, 0x7d, 0x01, 0x51, 0x4a, 0xcb, 0xfa, 0x91, 0x56, 0xe7, 0x82, 0xf8, -0x67, 0xf6, 0xbe, 0xd9, 0x44, 0x9e, 0x0e, 0x9a, 0x2c, 0x09, 0xbc, 0xec, 0xc6, 0xaa, 0x08, 0x76, -0x36, 0x96, 0x5e, 0x34, 0xb3, 0xec, 0x76, 0x6f, 0x2f, 0xe2, 0xe4, 0x30, 0x18, 0xa2, 0xfd, 0xde, -0xb1, 0x40, 0x61, 0x6a, 0x0e, 0x9d, 0x82, 0xe5, 0x33, 0x10, 0x24, 0xee, 0x06, 0x52, 0xfc, 0x76, -0x41 -}; - -/**********************************************************************************************/ -#if 1 -/* RSA modulus n: */ -const uint8_t modulus2[] = { -0x01, 0x94, 0x7c, 0x7f, 0xce, 0x90, 0x42, 0x5f, 0x47, 0x27, 0x9e, 0x70, 0x85, 0x1f, 0x25, 0xd5, -0xe6, 0x23, 0x16, 0xfe, 0x8a, 0x1d, 0xf1, 0x93, 0x71, 0xe3, 0xe6, 0x28, 0xe2, 0x60, 0x54, 0x3e, -0x49, 0x01, 0xef, 0x60, 0x81, 0xf6, 0x8c, 0x0b, 0x81, 0x41, 0x19, 0x0d, 0x2a, 0xe8, 0xda, 0xba, -0x7d, 0x12, 0x50, 0xec, 0x6d, 0xb6, 0x36, 0xe9, 0x44, 0xec, 0x37, 0x22, 0x87, 0x7c, 0x7c, 0x1d, -0x0a, 0x67, 0xf1, 0x4b, 0x16, 0x94, 0xc5, 0xf0, 0x37, 0x94, 0x51, 0xa4, 0x3e, 0x49, 0xa3, 0x2d, -0xde, 0x83, 0x67, 0x0b, 0x73, 0xda, 0x91, 0xa1, 0xc9, 0x9b, 0xc2, 0x3b, 0x43, 0x6a, 0x60, 0x05, -0x5c, 0x61, 0x0f, 0x0b, 0xaf, 0x99, 0xc1, 0xa0, 0x79, 0x56, 0x5b, 0x95, 0xa3, 0xf1, 0x52, 0x66, -0x32, 0xd1, 0xd4, 0xda, 0x60, 0xf2, 0x0e, 0xda, 0x25, 0xe6, 0x53, 0xc4, 0xf0, 0x02, 0x76, 0x6f, -0x45 -}; - -/* RSA public exponent e: */ -const uint8_t public_exponent2[] = { -0x01, 0x00, 0x01 -}; - -/* RSA private exponent d: */ -const uint8_t private_exponent2[] = { -0x08, 0x23, 0xf2, 0x0f, 0xad, 0xb5, 0xda, 0x89, 0x08, 0x8a, 0x9d, 0x00, 0x89, 0x3e, 0x21, 0xfa, -0x4a, 0x1b, 0x11, 0xfb, 0xc9, 0x3c, 0x64, 0xa3, 0xbe, 0x0b, 0xaa, 0xea, 0x97, 0xfb, 0x3b, 0x93, -0xc3, 0xff, 0x71, 0x37, 0x04, 0xc1, 0x9c, 0x96, 0x3c, 0x1d, 0x10, 0x7a, 0xae, 0x99, 0x05, 0x47, -0x39, 0xf7, 0x9e, 0x02, 0xe1, 0x86, 0xde, 0x86, 0xf8, 0x7a, 0x6d, 0xde, 0xfe, 0xa6, 0xd8, 0xcc, -0xd1, 0xd3, 0xc8, 0x1a, 0x47, 0xbf, 0xa7, 0x25, 0x5b, 0xe2, 0x06, 0x01, 0xa4, 0xa4, 0xb2, 0xf0, -0x8a, 0x16, 0x7b, 0x5e, 0x27, 0x9d, 0x71, 0x5b, 0x1b, 0x45, 0x5b, 0xdd, 0x7e, 0xab, 0x24, 0x59, -0x41, 0xd9, 0x76, 0x8b, 0x9a, 0xce, 0xfb, 0x3c, 0xcd, 0xa5, 0x95, 0x2d, 0xa3, 0xce, 0xe7, 0x25, -0x25, 0xb4, 0x50, 0x16, 0x63, 0xa8, 0xee, 0x15, 0xc9, 0xe9, 0x92, 0xd9, 0x24, 0x62, 0xfe, 0x39 -}; - -/* Prime p: */ -const uint8_t p2[] = { -0x01, 0x59, 0xdb, 0xde, 0x04, 0xa3, 0x3e, 0xf0, 0x6f, 0xb6, 0x08, 0xb8, 0x0b, 0x19, 0x0f, 0x4d, -0x3e, 0x22, 0xbc, 0xc1, 0x3a, 0xc8, 0xe4, 0xa0, 0x81, 0x03, 0x3a, 0xbf, 0xa4, 0x16, 0xed, 0xb0, -0xb3, 0x38, 0xaa, 0x08, 0xb5, 0x73, 0x09, 0xea, 0x5a, 0x52, 0x40, 0xe7, 0xdc, 0x6e, 0x54, 0x37, -0x8c, 0x69, 0x41, 0x4c, 0x31, 0xd9, 0x7d, 0xdb, 0x1f, 0x40, 0x6d, 0xb3, 0x76, 0x9c, 0xc4, 0x1a, -0x43 -}; - -/* Prime q: */ -const uint8_t q2[] = { -0x01, 0x2b, 0x65, 0x2f, 0x30, 0x40, 0x3b, 0x38, 0xb4, 0x09, 0x95, 0xfd, 0x6f, 0xf4, 0x1a, 0x1a, -0xcc, 0x8a, 0xda, 0x70, 0x37, 0x32, 0x36, 0xb7, 0x20, 0x2d, 0x39, 0xb2, 0xee, 0x30, 0xcf, 0xb4, -0x6d, 0xb0, 0x95, 0x11, 0xf6, 0xf3, 0x07, 0xcc, 0x61, 0xcc, 0x21, 0x60, 0x6c, 0x18, 0xa7, 0x5b, -0x8a, 0x62, 0xf8, 0x22, 0xdf, 0x03, 0x1b, 0xa0, 0xdf, 0x0d, 0xaf, 0xd5, 0x50, 0x6f, 0x56, 0x8b, -0xd7 -}; - -/* p's CRT exponent dP: */ -const uint8_t dp2[] = { -0x43, 0x6e, 0xf5, 0x08, 0xde, 0x73, 0x65, 0x19, 0xc2, 0xda, 0x4c, 0x58, 0x0d, 0x98, 0xc8, 0x2c, -0xb7, 0x45, 0x2a, 0x3f, 0xb5, 0xef, 0xad, 0xc3, 0xb9, 0xc7, 0x78, 0x9a, 0x1b, 0xc6, 0x58, 0x4f, -0x79, 0x5a, 0xdd, 0xbb, 0xd3, 0x24, 0x39, 0xc7, 0x46, 0x86, 0x55, 0x2e, 0xcb, 0x6c, 0x2c, 0x30, -0x7a, 0x4d, 0x3a, 0xf7, 0xf5, 0x39, 0xee, 0xc1, 0x57, 0x24, 0x8c, 0x7b, 0x31, 0xf1, 0xa2, 0x55 -}; - -/* q's CRT exponent dQ: */ -const uint8_t dq2[] = { -0x01, 0x2b, 0x15, 0xa8, 0x9f, 0x3d, 0xfb, 0x2b, 0x39, 0x07, 0x3e, 0x73, 0xf0, 0x2b, 0xdd, 0x0c, -0x1a, 0x7b, 0x37, 0x9d, 0xd4, 0x35, 0xf0, 0x5c, 0xdd, 0xe2, 0xef, 0xf9, 0xe4, 0x62, 0x94, 0x8b, -0x7c, 0xec, 0x62, 0xee, 0x90, 0x50, 0xd5, 0xe0, 0x81, 0x6e, 0x07, 0x85, 0xa8, 0x56, 0xb4, 0x91, -0x08, 0xdc, 0xb7, 0x5f, 0x36, 0x83, 0x87, 0x4d, 0x1c, 0xa6, 0x32, 0x9a, 0x19, 0x01, 0x30, 0x66, -0xff -}; - -/* CRT coefficient qInv: */ -const uint8_t qinv2[] = { -0x02, 0x70, 0xdb, 0x17, 0xd5, 0x91, 0x4b, 0x01, 0x8d, 0x76, 0x11, 0x8b, 0x24, 0x38, 0x9a, 0x73, -0x50, 0xec, 0x83, 0x6b, 0x00, 0x63, 0xa2, 0x17, 0x21, 0x23, 0x6f, 0xd8, 0xed, 0xb6, 0xd8, 0x9b, -0x51, 0xe7, 0xee, 0xb8, 0x7b, 0x61, 0x1b, 0x71, 0x32, 0xcb, 0x7e, 0xa7, 0x35, 0x6c, 0x23, 0x15, -0x1c, 0x1e, 0x77, 0x51, 0x50, 0x7c, 0x78, 0x6d, 0x9e, 0xe1, 0x79, 0x41, 0x70, 0xa8, 0xc8, 0xe8 -}; - -#endif -/**********************************************************************************************/ - - -uint8_t keys_allocated = 0; -rsa_publickey_t pub_key; -rsa_privatekey_t priv_key; - -#if 0 - #define MSG message - #define SEED seed - #define ENCRYPTED encrypted - #define MODULUS modulus - #define PUB_EXPONENT public_exponent - #define PRIV_EXPONENT private_exponent - #define P p - #define Q q - #define DP dp - #define DQ dq - #define QINV qinv -#else - #define MSG message4 - #define SEED seed4 - #define ENCRYPTED encrypted4 - #define MODULUS modulus2 - #define PUB_EXPONENT public_exponent2 - #define PRIV_EXPONENT private_exponent2 - #define P p2 - #define Q q2 - #define DP dp2 - #define DQ dq2 - #define QINV qinv2 -#endif - - -uint8_t convert_nibble(uint8_t c){ - if(c>='0' && c<='9'){ - return c - '0'; - } - c |= 'A' ^ 'a'; - if(c>='a' && c<='f'){ - return c - 'a' + 10; - } - return 0xff; -} - -const char *block_ignore_string=" \t\r\n,;"; -#define BUFFER_LIMIT 120 -uint16_t read_os(void* dst, uint16_t length, const char* ignore_string){ - uint16_t counter = 0; - uint16_t c; - uint8_t v, tmp = 0, idx = 0; - if(!ignore_string){ - ignore_string = block_ignore_string; - } - while(counter < length){ - c = cli_getc(); - if(c > 0xff){ - return counter; - } - if(strchr(ignore_string, c)){ - continue; - } - v = convert_nibble(c); - if(v > 0x0f){ - return counter; - } - if(idx){ - ((uint8_t*)dst)[counter++] = (tmp << 4) | v; - idx = 0; - if(counter % (BUFFER_LIMIT/2) == 0){ - cli_putc('.'); - } - }else{ - tmp = v; - idx = 1; - } - } - return counter; -} - -uint16_t own_atou(const char* str){ - uint16_t r=0; - while(*str && *str >= '0' && *str <= '9'){ - r *= 10; - r += *str++ - '0'; - } - return r; -} - -char* own_utoa(unsigned value, char* str, uint8_t radix){ - char *p = str, *b = str; - char t; - div_t d; - if(radix>36){ - return NULL; - } - if(value == 0){ - *p++ = '0'; - *p = '\0'; - return str; - } - while(value){ - d = div(value, radix); - value = d.quot; - if(d.rem < 10){ - *p++ = '0' + d.rem; - }else{ - *p++ = 'a' + d.rem - 10; - } - } - *p = '\0'; - while(strwordv = (bigint_word_t*)buffer; - a->length_B = (read_length + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t); - bigint_changeendianess(a); - bigint_adjust(a); - return 0; -} - -uint8_t pre_alloc_key_crt(void){ - uint8_t c; - pub_key.modulus = malloc(sizeof(bigint_t)); - if(!pub_key.modulus){ - cli_putstr("\r\nERROR: OOM!"); - return 2; - } - priv_key.modulus = pub_key.modulus; - priv_key.n = 5; - priv_key.components = malloc(5 * sizeof(bigint_t*)); - if(!priv_key.components){ - cli_putstr("\r\nERROR: OOM!"); - return 2; - } - pub_key.exponent = malloc(sizeof(bigint_t)); - if(!pub_key.exponent){ - cli_putstr("\r\nERROR: OOM!"); - return 2; - } - for(c=0; c<5; ++c){ - priv_key.components[c] = malloc(sizeof(bigint_t)); - if(!priv_key.components[c]){ - cli_putstr("\r\nERROR: OOM!"); - return 2; - } - } - return 0; -} - -void free_key(void){ - uint8_t c; - free(pub_key.modulus->wordv); - free(pub_key.exponent->wordv); - free(pub_key.modulus); - pub_key.modulus = priv_key.modulus = NULL; - free(pub_key.exponent); - pub_key.exponent = NULL; - for(c = 0; c < priv_key.n; ++c){ - free(priv_key.components[c]->wordv); - free(priv_key.components[c]); - } - free(priv_key.components); - priv_key.components = NULL; -} - -uint8_t read_key_crt(void){ - uint8_t r; - cli_putstr("\r\n== reading key (crt) =="); - r = pre_alloc_key_crt(); - if(r) return r; - r = read_bigint(pub_key.modulus,"\r\n = module ="); - if(r) return r; - r = read_bigint(pub_key.exponent,"\r\n = public exponent ="); - if(r) return r; - r = read_bigint(priv_key.components[0],"\r\n = p (first prime) ="); - if(r) return r; - r = read_bigint(priv_key.components[1],"\r\n = q (second prime) ="); - if(r) return r; - r = read_bigint(priv_key.components[2],"\r\n = dp (p's exponent) ="); - if(r) return r; - r = read_bigint(priv_key.components[3],"\r\n = dq (q's exponent) ="); - if(r) return r; - r = read_bigint(priv_key.components[4],"\r\n = qInv (q' coefficient) ="); - return r; -} - -uint8_t read_key_conv(void){ - uint8_t r; - cli_putstr("\r\n== reading key (crt) =="); - pub_key.modulus = malloc(sizeof(bigint_t)); - if(!pub_key.modulus){ - cli_putstr("\r\nERROR: OOM!"); - return 2; - } - r = read_bigint(pub_key.modulus,"\r\n = module ="); - if(r) return r; - priv_key.modulus = pub_key.modulus; - priv_key.n = 1; - pub_key.exponent = malloc(sizeof(bigint_t)); - if(!pub_key.exponent){ - cli_putstr("\r\nERROR: OOM!"); - return 2; - } - priv_key.components = malloc(sizeof(bigint_t*)); - if(!priv_key.components){ - cli_putstr("\r\nERROR: OOM!"); - return 2; - } - priv_key.components[0] = malloc(sizeof(bigint_t)); - if(!priv_key.components[0]){ - cli_putstr("\r\nERROR: OOM!"); - return 2; - } - r = read_bigint(pub_key.exponent,"\r\n = public exponent ="); - if(r) return r; - r = read_bigint(priv_key.components[0],"\r\n = private exponent ="); - return r; -} - -void load_priv_conventional(void){ - bigint_t *epriv; - epriv = malloc(sizeof(bigint_t)); - if(!epriv){ - cli_putstr("\r\nERROR: OOM!"); - return; - } - epriv->length_B = (sizeof(PRIV_EXPONENT) + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t); - epriv->wordv = malloc(epriv->length_B * sizeof(bigint_word_t)); - if(!epriv->wordv){ - cli_putstr("\r\nERROR: OOM!"); - return; - } - memcpy(epriv->wordv, PRIV_EXPONENT, sizeof(PRIV_EXPONENT)); - priv_key.components = malloc(sizeof(bigint_t*)); - priv_key.components[0] = epriv; - priv_key.n = 1; - bigint_changeendianess(epriv); - bigint_adjust(epriv); -} - - -void load_priv_crt_mono(void){ - bigint_t **v; - const uint8_t *bv[5] = {P,Q,DP,DQ,QINV}; - uint16_t sv[5] = {sizeof(P), sizeof(Q), sizeof(DP), sizeof(DQ), sizeof(QINV)}; - uint8_t i; - v = malloc(5 * sizeof(bigint_t)); - if(!v){ - cli_putstr("\r\nERROR: OOM!"); - return; - } - priv_key.components = malloc(5*sizeof(bigint_t*)); - if(!priv_key.components){ - cli_putstr("\r\nERROR: OOM!"); - return; - } - priv_key.n = 5; - for(i=0; i<5; ++i){ - v[i] = malloc(sizeof(bigint_t)); - v[i]->info = 0; - v[i]->length_B = (sv[i] + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t); - v[i]->wordv = calloc(v[i]->length_B , sizeof(bigint_word_t)); - if(!v[i]->wordv){ - cli_putstr("\r\nERROR: OOM!"); - return; - } - memcpy(v[i]->wordv, bv[i], sv[i]); - bigint_changeendianess(v[i]); - bigint_adjust(v[i]); - priv_key.components[i] = v[i]; - } -} - -uint8_t load_bigint_from_os(bigint_t* a, const void* os, uint16_t length_B){ - a->length_B = BIGINT_CEIL(length_B) / sizeof(bigint_word_t); - a->wordv = malloc(BIGINT_CEIL(length_B)); - if(!a->wordv){ - cli_putstr("\r\nOOM!\r\n"); - return 1; - } - memset(a->wordv, 0, sizeof(bigint_word_t)); - memcpy((uint8_t*)a->wordv + BIGINT_OFF(length_B), os, length_B); - a->info = 0; - bigint_changeendianess(a); - bigint_adjust(a); - return 0; -} - -void load_fix_rsa(void){ - if(keys_allocated){ - free_key(); - } - keys_allocated = 1; - - if(pre_alloc_key_crt()){ - cli_putstr("\r\nOOM!\r\n"); - return; - } - - load_bigint_from_os(pub_key.modulus, MODULUS, sizeof(MODULUS)); - load_bigint_from_os(pub_key.exponent, PUB_EXPONENT, sizeof(PUB_EXPONENT)); - priv_key.n = 5; - load_bigint_from_os(priv_key.components[0], P, sizeof(P)); - load_bigint_from_os(priv_key.components[1], Q, sizeof(Q)); - load_bigint_from_os(priv_key.components[2], DP, sizeof(DP)); - load_bigint_from_os(priv_key.components[3], DQ, sizeof(DQ)); - load_bigint_from_os(priv_key.components[4], QINV, sizeof(QINV)); - -// load_priv_conventional(); -// load_priv_crt_mono(); -} - -void quick_test(void){ - uint8_t *ciphertext, *plaintext, rc; - uint8_t seed[sizeof(SEED)]; - uint16_t clen, plen; - ciphertext = malloc(clen = pub_key.modulus->length_B * sizeof(bigint_word_t)); - plaintext = malloc(pub_key.modulus->length_B * sizeof(bigint_word_t)); - memcpy(plaintext, MSG, sizeof(MSG)); - memcpy(seed, SEED, sizeof(SEED)); - cli_putstr("\r\nplaintext:"); - cli_hexdump_block(plaintext, sizeof(MSG), 4, 8); - cli_putstr("\r\nencrypting: ..."); - rc = rsa_encrypt_oaep(ciphertext, &clen, plaintext, sizeof(MSG), &pub_key, NULL, NULL, seed); - if(rc){ - cli_putstr("\r\nERROR: rsa_encrypt_oaep returned: "); - cli_hexdump_byte(rc); - return; - - } - - cli_putstr("\r\n\r\nciphertext:"); - cli_hexdump_block(ciphertext, clen, 4, 8); - if(clen!=sizeof(ENCRYPTED)){ - cli_putstr("\r\n>>FAIL (no size match)<<"); - }else{ - if(memcmp(ciphertext, ENCRYPTED, clen)){ - cli_putstr("\r\n>>FAIL (no content match)<<"); - }else{ - cli_putstr("\r\n>>OK<<"); - } - } - - cli_putstr("\r\ndecrypting: ..."); - rc = rsa_decrypt_oaep(plaintext, &plen, ciphertext, clen, &priv_key, NULL, NULL, NULL); - if(rc){ - cli_putstr("\r\nERROR: rsa_decrypt_oaep returned: "); - cli_hexdump_byte(rc); - return; - } - cli_putstr("\r\n\r\nplaintext:"); - cli_hexdump_block(plaintext, plen, 4, 8); - - free(ciphertext); - free(plaintext); -} - -void run_seed_test(void){ - uint8_t *msg, *ciph, *msg_; - uint16_t msg_len, ciph_len, msg_len_; - uint8_t seed[20], seed_out[20]; - char read_int_str[18]; - cli_putstr("\r\n== test with given seed =="); - cli_putstr("\r\n = message ="); - cli_putstr("\r\n length: "); - cli_getsn(read_int_str, 16); - msg_len = own_atou(read_int_str); - msg = malloc(msg_len); - if(!msg){ - cli_putstr("\r\nERROR: OOM!"); - return; - } - ciph = malloc(bigint_length_B(pub_key.modulus)); - if(!ciph){ - cli_putstr("\r\nERROR: OOM!"); - return; - } - msg_ = malloc(bigint_length_B(pub_key.modulus)); - if(!msg_){ - cli_putstr("\r\nERROR: OOM!"); - return; - } - cli_putstr("\r\n data: "); - read_os(msg, msg_len, NULL); - cli_putstr("\r\n seed (20 bytes): "); - read_os(seed, 20, NULL); - - cli_putstr("\r\n encrypting ..."); - rsa_encrypt_oaep(ciph, &ciph_len, msg, msg_len, &pub_key, NULL, NULL, seed); - cli_putstr("\r\n ciphertext:"); - cli_hexdump_block(ciph, ciph_len, 4, 16); - cli_putstr("\r\n decrypting ... "); - rsa_decrypt_oaep(msg_, &msg_len_, ciph, ciph_len, &priv_key, NULL, NULL, seed_out); - cli_putstr("[done]"); - if(msg_len != msg_len_){ - char tstr[16]; - cli_putstr("\r\nERROR: wrong decrypted message length ("); - - own_utoa(msg_len_, tstr, 10); - cli_putstr(tstr); - cli_putstr(" instead of "); - own_utoa(msg_len, tstr, 10); - cli_putstr(tstr); - cli_putc(')'); - goto end; - } - if(memcmp(msg, msg_, msg_len)){ - cli_putstr("\r\nERROR: wrong decrypted message:"); - cli_hexdump_block(msg_, msg_len_, 4, 16); - cli_putstr("\r\nreference:"); - cli_hexdump_block(msg, msg_len, 4, 16); - goto end; - } - - if(memcmp(seed, seed_out, 20)){ - cli_putstr("\r\nERROR: wrong decrypted seed:"); - cli_hexdump_block(seed_out, 20, 4, 16); - cli_putstr("\r\nreference:"); - cli_hexdump_block(seed, 20, 4, 16); - goto end; - } - cli_putstr("\r\n >>OK<<"); -end: - free(msg); - free(msg_); - free(ciph); -} - -void reset_prng(void){ - uint8_t buf[16]; - memset(buf, 0, 16); - random_seed(buf); - cli_putstr("\r\nPRNG reset"); -} - -void rsa_init(void){ - prng_get_byte = random8; -} - -void load_key(void){ - if(keys_allocated){ - free_key(); - } - keys_allocated = 1; - read_key_crt(); -} - -void test_dump(void){ - char lstr[16]; - int len; - cli_putstr("\r\nenter dump length: "); - cli_getsn(lstr, 15); - len = own_atou(lstr); - cli_putstr("\r\ndumping 0x"); - cli_hexdump_rev(&len, 2); - cli_putstr(" byte:"); - cli_hexdump_block(pub_key.modulus->wordv, len, 4, 8); -} - -/***************************************************************************** - * main * - *****************************************************************************/ - -const char echo_test_str[] = "echo-test"; -const char reset_prng_str[] = "reset-prng"; -const char load_key_str[] = "load-key"; -const char load_fix_key_str[] = "load-fix-key"; -const char quick_test_str[] = "quick-test"; -const char seed_test_str[] = "seed-test"; -const char dump_test_str[] = "dump-test"; -const char performance_str[] = "performance"; -const char echo_str[] = "echo"; - -const cmdlist_entry_t cmdlist[] = { - { reset_prng_str, NULL, reset_prng }, - { load_key_str, NULL, load_key }, - { load_fix_key_str, NULL, load_fix_rsa }, - { quick_test_str, NULL, quick_test }, - { seed_test_str, NULL, run_seed_test }, - { dump_test_str, NULL, test_dump }, -// { performance_str, NULL, testrun_performance_bigint }, - { echo_str, (void*)1, (void_fpt)echo_ctrl }, - { NULL, NULL, NULL } -}; - -void dump_sp(void){ - uint8_t x; - uint8_t *xa = &x; - cli_putstr("\r\nstack pointer: ~"); - cli_hexdump_rev(&xa, 4); -} - -int main (void){ - main_setup(); - - for(;;){ - welcome_msg(algo_name); - rsa_init(); - cmd_interface(cmdlist); - } -} diff --git a/test_src/main-rsassa_pkcs1v15-test.c b/test_src/main-rsassa_pkcs1v15-test.c new file mode 100644 index 0000000..178d464 --- /dev/null +++ b/test_src/main-rsassa_pkcs1v15-test.c @@ -0,0 +1,633 @@ +/* main-dsa-test.c */ +/* + This file is part of the ARM-Crypto-Lib. + Copyright (C) 2010 Daniel Otte (daniel.otte@rub.de) + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . +*/ +/* + * RSA test-suit + * +*/ +#include "main-test-common.h" + +#include "noekeon.h" +#include "noekeon_prng.h" +#include "bigint.h" +#include "bigint_io.h" +#include "random_dummy.h" +#include "rsa_basic.h" +#include "rsassa_pkcs1v15.h" +#include "sha1.h" + +#include "performance_test.h" + +const char* algo_name = "RSASA-PKCS15"; + +#define BIGINT_CEIL(x) ((((x) + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t)) * sizeof(bigint_word_t)) +#define BIGINT_OFF(x) ((sizeof(bigint_word_t) - (x) % sizeof(bigint_word_t)) % sizeof(bigint_word_t)) + +/***************************************************************************** + * additional validation-functions * + *****************************************************************************/ + +/* Modulus: */ +const uint8_t modulus[] = { +0xa8, 0xb3, 0xb2, 0x84, 0xaf, 0x8e, 0xb5, 0x0b, 0x38, 0x70, 0x34, 0xa8, 0x60, 0xf1, 0x46, 0xc4, +0x91, 0x9f, 0x31, 0x87, 0x63, 0xcd, 0x6c, 0x55, 0x98, 0xc8, 0xae, 0x48, 0x11, 0xa1, 0xe0, 0xab, +0xc4, 0xc7, 0xe0, 0xb0, 0x82, 0xd6, 0x93, 0xa5, 0xe7, 0xfc, 0xed, 0x67, 0x5c, 0xf4, 0x66, 0x85, +0x12, 0x77, 0x2c, 0x0c, 0xbc, 0x64, 0xa7, 0x42, 0xc6, 0xc6, 0x30, 0xf5, 0x33, 0xc8, 0xcc, 0x72, +0xf6, 0x2a, 0xe8, 0x33, 0xc4, 0x0b, 0xf2, 0x58, 0x42, 0xe9, 0x84, 0xbb, 0x78, 0xbd, 0xbf, 0x97, +0xc0, 0x10, 0x7d, 0x55, 0xbd, 0xb6, 0x62, 0xf5, 0xc4, 0xe0, 0xfa, 0xb9, 0x84, 0x5c, 0xb5, 0x14, +0x8e, 0xf7, 0x39, 0x2d, 0xd3, 0xaa, 0xff, 0x93, 0xae, 0x1e, 0x6b, 0x66, 0x7b, 0xb3, 0xd4, 0x24, +0x76, 0x16, 0xd4, 0xf5, 0xba, 0x10, 0xd4, 0xcf, 0xd2, 0x26, 0xde, 0x88, 0xd3, 0x9f, 0x16, 0xfb +}; + +/* Public exponent: */ +const uint8_t pub_exponent[] = { 0x01, 0x00, 0x01 }; + +/* Exponent: */ +const uint8_t priv_exponent[] = { +0x53, 0x33, 0x9c, 0xfd, 0xb7, 0x9f, 0xc8, 0x46, 0x6a, 0x65, 0x5c, 0x73, 0x16, 0xac, 0xa8, 0x5c, +0x55, 0xfd, 0x8f, 0x6d, 0xd8, 0x98, 0xfd, 0xaf, 0x11, 0x95, 0x17, 0xef, 0x4f, 0x52, 0xe8, 0xfd, +0x8e, 0x25, 0x8d, 0xf9, 0x3f, 0xee, 0x18, 0x0f, 0xa0, 0xe4, 0xab, 0x29, 0x69, 0x3c, 0xd8, 0x3b, +0x15, 0x2a, 0x55, 0x3d, 0x4a, 0xc4, 0xd1, 0x81, 0x2b, 0x8b, 0x9f, 0xa5, 0xaf, 0x0e, 0x7f, 0x55, +0xfe, 0x73, 0x04, 0xdf, 0x41, 0x57, 0x09, 0x26, 0xf3, 0x31, 0x1f, 0x15, 0xc4, 0xd6, 0x5a, 0x73, +0x2c, 0x48, 0x31, 0x16, 0xee, 0x3d, 0x3d, 0x2d, 0x0a, 0xf3, 0x54, 0x9a, 0xd9, 0xbf, 0x7c, 0xbf, +0xb7, 0x8a, 0xd8, 0x84, 0xf8, 0x4d, 0x5b, 0xeb, 0x04, 0x72, 0x4d, 0xc7, 0x36, 0x9b, 0x31, 0xde, +0xf3, 0x7d, 0x0c, 0xf5, 0x39, 0xe9, 0xcf, 0xcd, 0xd3, 0xde, 0x65, 0x37, 0x29, 0xea, 0xd5, 0xd1 +}; + +/* Prime 1: */ +const uint8_t p[] = { +0xd3, 0x27, 0x37, 0xe7, 0x26, 0x7f, 0xfe, 0x13, 0x41, 0xb2, 0xd5, 0xc0, 0xd1, 0x50, 0xa8, 0x1b, +0x58, 0x6f, 0xb3, 0x13, 0x2b, 0xed, 0x2f, 0x8d, 0x52, 0x62, 0x86, 0x4a, 0x9c, 0xb9, 0xf3, 0x0a, +0xf3, 0x8b, 0xe4, 0x48, 0x59, 0x8d, 0x41, 0x3a, 0x17, 0x2e, 0xfb, 0x80, 0x2c, 0x21, 0xac, 0xf1, +0xc1, 0x1c, 0x52, 0x0c, 0x2f, 0x26, 0xa4, 0x71, 0xdc, 0xad, 0x21, 0x2e, 0xac, 0x7c, 0xa3, 0x9d +}; + +/* Prime 2: */ +const uint8_t q[] = { +0xcc, 0x88, 0x53, 0xd1, 0xd5, 0x4d, 0xa6, 0x30, 0xfa, 0xc0, 0x04, 0xf4, 0x71, 0xf2, 0x81, 0xc7, +0xb8, 0x98, 0x2d, 0x82, 0x24, 0xa4, 0x90, 0xed, 0xbe, 0xb3, 0x3d, 0x3e, 0x3d, 0x5c, 0xc9, 0x3c, +0x47, 0x65, 0x70, 0x3d, 0x1d, 0xd7, 0x91, 0x64, 0x2f, 0x1f, 0x11, 0x6a, 0x0d, 0xd8, 0x52, 0xbe, +0x24, 0x19, 0xb2, 0xaf, 0x72, 0xbf, 0xe9, 0xa0, 0x30, 0xe8, 0x60, 0xb0, 0x28, 0x8b, 0x5d, 0x77 +}; + +/* Prime exponent 1: */ +const uint8_t dp[] = { +0x0e, 0x12, 0xbf, 0x17, 0x18, 0xe9, 0xce, 0xf5, 0x59, 0x9b, 0xa1, 0xc3, 0x88, 0x2f, 0xe8, 0x04, +0x6a, 0x90, 0x87, 0x4e, 0xef, 0xce, 0x8f, 0x2c, 0xcc, 0x20, 0xe4, 0xf2, 0x74, 0x1f, 0xb0, 0xa3, +0x3a, 0x38, 0x48, 0xae, 0xc9, 0xc9, 0x30, 0x5f, 0xbe, 0xcb, 0xd2, 0xd7, 0x68, 0x19, 0x96, 0x7d, +0x46, 0x71, 0xac, 0xc6, 0x43, 0x1e, 0x40, 0x37, 0x96, 0x8d, 0xb3, 0x78, 0x78, 0xe6, 0x95, 0xc1 +}; + +/* Prime exponent 2: */ +const uint8_t dq[] = { +0x95, 0x29, 0x7b, 0x0f, 0x95, 0xa2, 0xfa, 0x67, 0xd0, 0x07, 0x07, 0xd6, 0x09, 0xdf, 0xd4, 0xfc, +0x05, 0xc8, 0x9d, 0xaf, 0xc2, 0xef, 0x6d, 0x6e, 0xa5, 0x5b, 0xec, 0x77, 0x1e, 0xa3, 0x33, 0x73, +0x4d, 0x92, 0x51, 0xe7, 0x90, 0x82, 0xec, 0xda, 0x86, 0x6e, 0xfe, 0xf1, 0x3c, 0x45, 0x9e, 0x1a, +0x63, 0x13, 0x86, 0xb7, 0xe3, 0x54, 0xc8, 0x99, 0xf5, 0xf1, 0x12, 0xca, 0x85, 0xd7, 0x15, 0x83 +}; + +/* Coefficient: */ +const uint8_t qinv[] = { +0x4f, 0x45, 0x6c, 0x50, 0x24, 0x93, 0xbd, 0xc0, 0xed, 0x2a, 0xb7, 0x56, 0xa3, 0xa6, 0xed, 0x4d, +0x67, 0x35, 0x2a, 0x69, 0x7d, 0x42, 0x16, 0xe9, 0x32, 0x12, 0xb1, 0x27, 0xa6, 0x3d, 0x54, 0x11, +0xce, 0x6f, 0xa9, 0x8d, 0x5d, 0xbe, 0xfd, 0x73, 0x26, 0x3e, 0x37, 0x28, 0x14, 0x27, 0x43, 0x81, +0x81, 0x66, 0xed, 0x7d, 0xd6, 0x36, 0x87, 0xdd, 0x2a, 0x8c, 0xa1, 0xd2, 0xf4, 0xfb, 0xd8, 0xe1 +}; + +/* + * Example 2: A 1024-bit RSA key pair + * --------------------------------------------------- + */ + +/* Modulus: */ +const uint8_t modulus2[] = { +0x98, 0xb7, 0x05, 0x82, 0xca, 0x80, 0x8f, 0xd1, 0xd3, 0x50, 0x95, 0x62, 0xa0, 0xef, 0x30, 0x5a, +0xf6, 0xd9, 0x87, 0x54, 0x43, 0xb3, 0x5b, 0xdf, 0x24, 0xd5, 0x36, 0x35, 0x3e, 0x3f, 0x12, 0x28, +0xdc, 0xd1, 0x2a, 0x78, 0x56, 0x83, 0x56, 0xc6, 0xff, 0x32, 0x3a, 0xbf, 0x72, 0xac, 0x1c, 0xdb, +0xfe, 0x71, 0x2f, 0xb4, 0x9f, 0xe5, 0x94, 0xa5, 0xa2, 0x17, 0x5d, 0x48, 0xb6, 0x73, 0x25, 0x38, +0xd8, 0xdf, 0x37, 0xcb, 0x97, 0x0b, 0xe4, 0xa5, 0xb5, 0x62, 0xc3, 0xf2, 0x98, 0xdb, 0x9d, 0xdf, +0x75, 0x60, 0x78, 0x77, 0x91, 0x8c, 0xce, 0xd1, 0xd0, 0xd1, 0xf3, 0x77, 0x33, 0x8c, 0x0d, 0x3d, +0x32, 0x07, 0x79, 0x7e, 0x86, 0x2c, 0x65, 0xd1, 0x14, 0x39, 0xe5, 0x88, 0x17, 0x75, 0x27, 0xa7, +0xde, 0xd9, 0x19, 0x71, 0xad, 0xcf, 0x91, 0xe2, 0xe8, 0x34, 0xe3, 0x7f, 0x05, 0xa7, 0x36, 0x55 +}; + +/* Public exponent: */ +const uint8_t pub_exponent2[] = {0x01, 0x00, 0x01 }; + +/* Exponent: */ +const uint8_t priv_exponent2[] = { +0x06, 0x14, 0xa7, 0x86, 0x05, 0x2d, 0x28, 0x4c, 0xd9, 0x06, 0xa8, 0xe4, 0x13, 0xf7, 0x62, 0x2c, +0x05, 0x0f, 0x35, 0x49, 0xc0, 0x26, 0x58, 0x9e, 0xa2, 0x77, 0x50, 0xe0, 0xbe, 0xd9, 0x41, 0x0e, +0x5a, 0x78, 0x83, 0xa1, 0xe6, 0x03, 0xf5, 0xc5, 0x17, 0xad, 0x36, 0xd4, 0x9f, 0xaa, 0xc5, 0xbd, +0x66, 0xbc, 0xb8, 0x03, 0x0f, 0xa8, 0xd3, 0x09, 0xe3, 0x51, 0xdd, 0xd7, 0x82, 0xd8, 0x43, 0xdf, +0x97, 0x56, 0x80, 0xae, 0x73, 0xee, 0xa9, 0xaa, 0xb2, 0x89, 0xb7, 0x57, 0x20, 0x5d, 0xad, 0xb8, +0xfd, 0xfb, 0x98, 0x9e, 0xc8, 0xdb, 0x8e, 0x70, 0x95, 0xf5, 0x1f, 0x24, 0x52, 0x9f, 0x56, 0x37, +0xaa, 0x66, 0x93, 0x31, 0xe2, 0x56, 0x9f, 0x8b, 0x85, 0x4a, 0xbe, 0xce, 0xc9, 0x9a, 0xa2, 0x64, +0xc3, 0xda, 0x7c, 0xc6, 0x86, 0x6f, 0x0c, 0x0e, 0x1f, 0xb8, 0x46, 0x98, 0x48, 0x58, 0x1c, 0x73 +}; + +/* Prime 1: */ +const uint8_t p2[] = { +0xcb, 0x61, 0xa8, 0x8c, 0x8c, 0x30, 0x5a, 0xd9, 0xa8, 0xfb, 0xec, 0x2b, 0xa4, 0xc8, 0x6c, 0xcc, +0xc2, 0x02, 0x80, 0x24, 0xaa, 0x16, 0x90, 0xc2, 0x9b, 0xc8, 0x26, 0x4d, 0x2f, 0xeb, 0xe8, 0x7e, +0x4f, 0x86, 0xe9, 0x12, 0xef, 0x0f, 0x5c, 0x18, 0x53, 0xd7, 0x1c, 0xbc, 0x9b, 0x14, 0xba, 0xed, +0x3c, 0x37, 0xce, 0xf6, 0xc7, 0xa3, 0x59, 0x8b, 0x6f, 0xbe, 0x06, 0x48, 0x10, 0x90, 0x5b, 0x57 +}; + +/* Prime 2: */ +const uint8_t q2[] = { +0xc0, 0x39, 0x9f, 0x0b, 0x93, 0x80, 0xfa, 0xba, 0x38, 0xff, 0x80, 0xd2, 0xff, 0xf6, 0xed, 0xe7, +0x9c, 0xfd, 0xab, 0xf6, 0x58, 0x97, 0x20, 0x77, 0xa5, 0xe2, 0xb2, 0x95, 0x69, 0x3e, 0xa5, 0x10, +0x72, 0x26, 0x8b, 0x91, 0x74, 0x6e, 0xea, 0x9b, 0xe0, 0x4a, 0xd6, 0x61, 0x00, 0xeb, 0xed, 0x73, +0x3d, 0xb4, 0xcd, 0x01, 0x47, 0xa1, 0x8d, 0x6d, 0xe8, 0xc0, 0xcd, 0x8f, 0xbf, 0x24, 0x9c, 0x33 +}; + +/* Prime exponent 1: */ +const uint8_t dp2[] = { +0x94, 0x4c, 0x3a, 0x65, 0x79, 0x57, 0x4c, 0xf7, 0x87, 0x33, 0x62, 0xab, 0x14, 0x35, 0x9c, 0xb7, +0xd5, 0x03, 0x93, 0xc2, 0xa8, 0x4f, 0x59, 0xf0, 0xbd, 0x3c, 0xbd, 0x48, 0xed, 0x17, 0x7c, 0x68, +0x95, 0xbe, 0x8e, 0xb6, 0xe2, 0x9f, 0xf5, 0x8c, 0x3b, 0x9e, 0x0f, 0xf3, 0x2a, 0xb5, 0x7b, 0xf3, +0xbe, 0x44, 0x07, 0x62, 0x84, 0x81, 0x84, 0xaa, 0x9a, 0xa9, 0x19, 0xd5, 0x74, 0x56, 0x7e, 0x73 +}; + +/* Prime exponent 2: */ +const uint8_t dq2[] = { +0x45, 0xeb, 0xef, 0xd5, 0x87, 0x27, 0x30, 0x8c, 0xd2, 0xb4, 0xe6, 0x08, 0x5a, 0x81, 0x58, 0xd2, +0x9a, 0x41, 0x8f, 0xee, 0xc1, 0x14, 0xe0, 0x03, 0x85, 0xbc, 0xeb, 0x96, 0xfb, 0xbc, 0x84, 0xd0, +0x71, 0xa5, 0x61, 0xb9, 0x5c, 0x30, 0x08, 0x79, 0x00, 0xe2, 0x58, 0x0e, 0xdb, 0x05, 0xf6, 0xce, +0xa7, 0x90, 0x7f, 0xcd, 0xca, 0x5f, 0x92, 0x91, 0x7b, 0x4b, 0xbe, 0xba, 0x5e, 0x1e, 0x14, 0x0f +}; + +/* Coefficient: */ +const uint8_t qinv2[] = { +0xc5, 0x24, 0x68, 0xc8, 0xfd, 0x15, 0xe5, 0xda, 0x2f, 0x6c, 0x8e, 0xba, 0x4e, 0x97, 0xba, 0xeb, +0xe9, 0x95, 0xb6, 0x7a, 0x1a, 0x7a, 0xd7, 0x19, 0xdd, 0x9f, 0xff, 0x36, 0x6b, 0x18, 0x4d, 0x5a, +0xb4, 0x55, 0x07, 0x59, 0x09, 0x29, 0x20, 0x44, 0xec, 0xb3, 0x45, 0xcf, 0x2c, 0xdd, 0x26, 0x22, +0x8e, 0x21, 0xf8, 0x51, 0x83, 0x25, 0x5f, 0x4a, 0x9e, 0x69, 0xf4, 0xc7, 0x15, 0x2e, 0xbb, 0x0f +}; + + +/* PKCS#1 v1.5 signatures + * --------------------------------------------------------------------------- + */ +/* Message to be signed */ +const uint8_t message_1_1[] = { +0xcd, 0xc8, 0x7d, 0xa2, 0x23, 0xd7, 0x86, 0xdf, 0x3b, 0x45, 0xe0, 0xbb, 0xbc, 0x72, 0x13, 0x26, +0xd1, 0xee, 0x2a, 0xf8, 0x06, 0xcc, 0x31, 0x54, 0x75, 0xcc, 0x6f, 0x0d, 0x9c, 0x66, 0xe1, 0xb6, +0x23, 0x71, 0xd4, 0x5c, 0xe2, 0x39, 0x2e, 0x1a, 0xc9, 0x28, 0x44, 0xc3, 0x10, 0x10, 0x2f, 0x15, +0x6a, 0x0d, 0x8d, 0x52, 0xc1, 0xf4, 0xc4, 0x0b, 0xa3, 0xaa, 0x65, 0x09, 0x57, 0x86, 0xcb, 0x76, +0x97, 0x57, 0xa6, 0x56, 0x3b, 0xa9, 0x58, 0xfe, 0xd0, 0xbc, 0xc9, 0x84, 0xe8, 0xb5, 0x17, 0xa3, +0xd5, 0xf5, 0x15, 0xb2, 0x3b, 0x8a, 0x41, 0xe7, 0x4a, 0xa8, 0x67, 0x69, 0x3f, 0x90, 0xdf, 0xb0, +0x61, 0xa6, 0xe8, 0x6d, 0xfa, 0xae, 0xe6, 0x44, 0x72, 0xc0, 0x0e, 0x5f, 0x20, 0x94, 0x57, 0x29, +0xcb, 0xeb, 0xe7, 0x7f, 0x06, 0xce, 0x78, 0xe0, 0x8f, 0x40, 0x98, 0xfb, 0xa4, 0x1f, 0x9d, 0x61, +0x93, 0xc0, 0x31, 0x7e, 0x8b, 0x60, 0xd4, 0xb6, 0x08, 0x4a, 0xcb, 0x42, 0xd2, 0x9e, 0x38, 0x08, +0xa3, 0xbc, 0x37, 0x2d, 0x85, 0xe3, 0x31, 0x17, 0x0f, 0xcb, 0xf7, 0xcc, 0x72, 0xd0, 0xb7, 0x1c, +0x29, 0x66, 0x48, 0xb3, 0xa4, 0xd1, 0x0f, 0x41, 0x62, 0x95, 0xd0, 0x80, 0x7a, 0xa6, 0x25, 0xca, +0xb2, 0x74, 0x4f, 0xd9, 0xea, 0x8f, 0xd2, 0x23, 0xc4, 0x25, 0x37, 0x02, 0x98, 0x28, 0xbd, 0x16, +0xbe, 0x02, 0x54, 0x6f, 0x13, 0x0f, 0xd2, 0xe3, 0x3b, 0x93, 0x6d, 0x26, 0x76, 0xe0, 0x8a, 0xed, +0x1b, 0x73, 0x31, 0x8b, 0x75, 0x0a, 0x01, 0x67, 0xd0 }; + +/* Signature: */ +const uint8_t sign_1_1[] = { +0x6b, 0xc3, 0xa0, 0x66, 0x56, 0x84, 0x29, 0x30, 0xa2, 0x47, 0xe3, 0x0d, 0x58, 0x64, 0xb4, 0xd8, +0x19, 0x23, 0x6b, 0xa7, 0xc6, 0x89, 0x65, 0x86, 0x2a, 0xd7, 0xdb, 0xc4, 0xe2, 0x4a, 0xf2, 0x8e, +0x86, 0xbb, 0x53, 0x1f, 0x03, 0x35, 0x8b, 0xe5, 0xfb, 0x74, 0x77, 0x7c, 0x60, 0x86, 0xf8, 0x50, +0xca, 0xef, 0x89, 0x3f, 0x0d, 0x6f, 0xcc, 0x2d, 0x0c, 0x91, 0xec, 0x01, 0x36, 0x93, 0xb4, 0xea, +0x00, 0xb8, 0x0c, 0xd4, 0x9a, 0xac, 0x4e, 0xcb, 0x5f, 0x89, 0x11, 0xaf, 0xe5, 0x39, 0xad, 0xa4, +0xa8, 0xf3, 0x82, 0x3d, 0x1d, 0x13, 0xe4, 0x72, 0xd1, 0x49, 0x05, 0x47, 0xc6, 0x59, 0xc7, 0x61, +0x7f, 0x3d, 0x24, 0x08, 0x7d, 0xdb, 0x6f, 0x2b, 0x72, 0x09, 0x61, 0x67, 0xfc, 0x09, 0x7c, 0xab, +0x18, 0xe9, 0xa4, 0x58, 0xfc, 0xb6, 0x34, 0xcd, 0xce, 0x8e, 0xe3, 0x58, 0x94, 0xc4, 0x84, 0xd7 +}; + + +uint8_t keys_allocated = 0; +rsa_publickey_t pub_key; +rsa_privatekey_t priv_key; + +#if 1 + #define MSG message_1_1 + #define SIGN sign_1_1 + #define MODULUS modulus2 + #define PUB_EXPONENT pub_exponent2 + #define PRIV_EXPONENT priv_exponent2 + #define P p2 + #define Q q2 + #define DP dp2 + #define DQ dq2 + #define QINV qinv2 +#endif + + +uint8_t convert_nibble(uint8_t c){ + if(c>='0' && c<='9'){ + return c - '0'; + } + c |= 'A' ^ 'a'; + if(c>='a' && c<='f'){ + return c - 'a' + 10; + } + return 0xff; +} + +const char *block_ignore_string=" \t\r\n,;"; +#define BUFFER_LIMIT 120 +uint16_t read_os(void* dst, uint16_t length, const char* ignore_string){ + uint16_t counter = 0; + uint16_t c; + uint8_t v, tmp = 0, idx = 0; + if(!ignore_string){ + ignore_string = block_ignore_string; + } + while(counter < length){ + c = cli_getc(); + if(c > 0xff){ + return counter; + } + if(strchr(ignore_string, c)){ + continue; + } + v = convert_nibble(c); + if(v > 0x0f){ + return counter; + } + if(idx){ + ((uint8_t*)dst)[counter++] = (tmp << 4) | v; + idx = 0; + if(counter % (BUFFER_LIMIT/2) == 0){ + cli_putc('.'); + } + }else{ + tmp = v; + idx = 1; + } + } + return counter; +} + +uint16_t own_atou(const char* str){ + uint16_t r=0; + while(*str && *str >= '0' && *str <= '9'){ + r *= 10; + r += *str++ - '0'; + } + return r; +} + +uint8_t read_bigint(bigint_t* a, char* prompt){ + uint16_t read_length, actual_length; + uint8_t off; + uint8_t *buffer; + char read_int_str[18]; + cli_putstr(prompt); + cli_putstr("\r\n length: "); + cli_getsn(read_int_str, 16); + read_length = own_atou(read_int_str); + off = (sizeof(bigint_word_t) - (read_length % sizeof(bigint_word_t))) % sizeof(bigint_word_t); + buffer = malloc(((read_length + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t)) * sizeof(bigint_word_t)); + if(!buffer){ + cli_putstr("\r\nERROR: OOM!"); + return 2; + } + cli_putstr("\r\n data: "); + memset(buffer, 0, sizeof(bigint_word_t)); + actual_length = read_os(buffer + off, read_length, NULL); + if(actual_length != read_length){ + cli_putstr("\r\nERROR: unexpected end of data!"); + free(buffer); + return 1; + } + a->wordv = (bigint_word_t*)buffer; + a->length_B = (read_length + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t); + a->info = 0; + bigint_changeendianess(a); + bigint_adjust(a); + return 0; +} + +uint8_t pre_alloc_key_crt(void){ + priv_key.n = 5; + priv_key.components = malloc(5 * sizeof(bigint_t)); + if(!priv_key.components){ + cli_putstr("\r\nERROR: OOM!"); + return 2; + } + return 0; +} + +void free_key(void){ + uint8_t c; + free(pub_key.modulus.wordv); + free(pub_key.exponent.wordv); + pub_key.modulus.wordv = priv_key.modulus.wordv = NULL; + for(c = 0; c < priv_key.n; ++c){ + free(priv_key.components[c].wordv); + } + free(priv_key.components); +} + +uint8_t read_key_crt(void){ + uint8_t r; + cli_putstr("\r\n== reading key (crt) =="); + r = pre_alloc_key_crt(); + if(r) return r; + r = read_bigint(&pub_key.modulus, "\r\n = module ="); + memcpy(&priv_key.modulus, &pub_key.modulus, sizeof(bigint_t)); + if(r) return r; + r = read_bigint(&pub_key.exponent, "\r\n = public exponent ="); + if(r) return r; + r = read_bigint(&priv_key.components[0], "\r\n = p (first prime) ="); + if(r) return r; + r = read_bigint(&priv_key.components[1], "\r\n = q (second prime) ="); + if(r) return r; + r = read_bigint(&priv_key.components[2], "\r\n = dp (p's exponent) ="); + if(r) return r; + r = read_bigint(&priv_key.components[3], "\r\n = dq (q's exponent) ="); + if(r) return r; + r = read_bigint(&priv_key.components[4], "\r\n = qInv (q' coefficient) ="); + return r; +} + +uint8_t read_key_conv(void){ + uint8_t r; + cli_putstr("\r\n== reading key (crt) =="); + r = read_bigint(&pub_key.modulus,"\r\n = module ="); + if(r) return r; + memcpy(&priv_key.modulus, &pub_key.modulus, sizeof(bigint_t)); + priv_key.n = 1; + priv_key.components = malloc(sizeof(bigint_t)); + if(!priv_key.components){ + cli_putstr("\r\nERROR: OOM!"); + return 2; + } + r = read_bigint(&pub_key.exponent, "\r\n = public exponent ="); + if(r) return r; + r = read_bigint(&priv_key.components[0], "\r\n = private exponent ="); + return r; +} + +void load_priv_conventional(void){ + priv_key.components = malloc(sizeof(bigint_t)); + priv_key.components[0].length_B = (sizeof(PRIV_EXPONENT) + + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t); + priv_key.components[0].wordv = malloc(priv_key.components[0].length_B * + sizeof(bigint_word_t)); + if(!priv_key.components[0].wordv){ + cli_putstr("\r\nERROR: OOM!"); + return; + } + memcpy(priv_key.components[0].wordv, PRIV_EXPONENT, sizeof(PRIV_EXPONENT)); + priv_key.n = 1; + bigint_changeendianess(&priv_key.components[0]); + bigint_adjust(&priv_key.components[0]); +} + + +void load_priv_crt_mono(void){ + bigint_t *v; + const uint8_t *bv[5] = {P,Q,DP,DQ,QINV}; + uint16_t sv[5] = {sizeof(P), sizeof(Q), sizeof(DP), sizeof(DQ), sizeof(QINV)}; + uint8_t i; + v = malloc(5 * sizeof(bigint_t)); + if(!v){ + cli_putstr("\r\nERROR: OOM!"); + return; + } + priv_key.components = v; + priv_key.n = 5; + for(i=0; i<5; ++i){ + v[i].info = 0; + v[i].length_B = (sv[i] + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t); + v[i].wordv = calloc(v[i].length_B , sizeof(bigint_word_t)); + if(!v[i].wordv){ + cli_putstr("\r\nERROR: OOM!"); + return; + } + memcpy(v[i].wordv, bv[i], sv[i]); + bigint_changeendianess(&v[i]); + bigint_adjust(&v[i]); + } +} + +uint8_t load_bigint_from_os(bigint_t* a, const void* os, uint16_t length_B){ + a->length_B = BIGINT_CEIL(length_B) / sizeof(bigint_word_t); + a->wordv = malloc(BIGINT_CEIL(length_B)); + if(!a->wordv){ + cli_putstr("\r\nOOM!\r\n"); + return 1; + } + memset(a->wordv, 0, sizeof(bigint_word_t)); + memcpy((uint8_t*)a->wordv + BIGINT_OFF(length_B), os, length_B); + a->info = 0; + bigint_changeendianess(a); + bigint_adjust(a); + return 0; +} + +void load_fix_rsa(void){ + if(keys_allocated){ + free_key(); + } + keys_allocated = 1; + + if(pre_alloc_key_crt()){ + cli_putstr("\r\nOOM!\r\n"); + return; + } + + load_bigint_from_os(&pub_key.modulus, MODULUS, sizeof(MODULUS)); + load_bigint_from_os(&pub_key.exponent, PUB_EXPONENT, sizeof(PUB_EXPONENT)); + priv_key.n = 5; + memcpy(&priv_key.modulus, &pub_key.modulus, sizeof(bigint_t)); + load_bigint_from_os(&priv_key.components[0], P, sizeof(P)); + load_bigint_from_os(&priv_key.components[1], Q, sizeof(Q)); + load_bigint_from_os(&priv_key.components[2], DP, sizeof(DP)); + load_bigint_from_os(&priv_key.components[3], DQ, sizeof(DQ)); + load_bigint_from_os(&priv_key.components[4], QINV, sizeof(QINV)); + +// load_priv_conventional(); +// load_priv_crt_mono(); +} + +void quick_test(void){ + uint8_t *msg, *sign, hash[20], rc; + uint16_t slen; + if(!keys_allocated){ + load_fix_rsa(); + } + msg = malloc(sizeof(MSG)); + memcpy(msg, MSG, sizeof(MSG)); + sign = malloc(pub_key.modulus.length_B * sizeof(bigint_word_t)); + cli_putstr("\r\nhashing:..."); + sha1(hash, msg, sizeof(MSG) * 8); + cli_putstr("\r\nsigning: ..."); + + rc = rsa_sign_pkcs1v15(sign, &slen, hash, 20, &priv_key, &pkcs1v15_sha1_prefix); + if(rc){ + cli_putstr("\r\nERROR: rsa_sign_pkcs1v15() returned: "); + cli_hexdump_byte(rc); + return; + } + + cli_putstr("\r\n\r\nsignature:"); + cli_hexdump_block(sign, slen, 4, 16); + if(slen!=sizeof(SIGN)){ + cli_putstr("\r\n>>FAIL (no size match)<<"); + }else{ + if(memcmp(sign, SIGN, slen)){ + cli_putstr("\r\n>>FAIL (no content match)<<"); + }else{ + cli_putstr("\r\n>>OK<<"); + } + } + + cli_putstr("\r\nverifying: ..."); + rc = rsa_verify_pkcs1v15(sign, slen, hash, 20, &pub_key, &pkcs1v15_sha1_prefix); + if(rc){ + cli_putstr("\r\nERROR: rsa_verify_pkcs1v15() returned: "); + cli_hexdump_byte(rc); + return; + }else{ + cli_putstr("\r\nsignature >>OK<<"); + } + free(sign); + free(msg); +} + +void run_sha1_test(void){ + uint8_t *msg, *sign, hash[20], rc; + uint16_t msg_len, sign_len; + char read_int_str[18]; + cli_putstr("\r\n== test with given seed =="); + cli_putstr("\r\n = message ="); + cli_putstr("\r\n length: "); + cli_getsn(read_int_str, 16); + msg_len = own_atou(read_int_str); + msg = malloc(msg_len); + if(!msg){ + cli_putstr("\r\nERROR: OOM!"); + return; + } + sign = malloc(bigint_length_B(&pub_key.modulus)); + if(!sign){ + cli_putstr("\r\nERROR: OOM!"); + return; + } + cli_putstr("\r\n data: "); + read_os(msg, msg_len, NULL); + cli_putstr("\r\n hashing ..."); + sha1(hash, msg, msg_len * 8); + cli_putstr("\r\n signing ..."); +/* + cli_putstr("\r\n plaintext:"); + cli_hexdump_block(msg, msg_len, 4, 16); + cli_putstr("\r\n seed:"); + cli_hexdump_block(seed, seed_len, 4, 16); +*/ + rc = rsa_sign_pkcs1v15(sign, &sign_len, hash, 20, &priv_key, &pkcs1v15_sha1_prefix); + if(rc){ + cli_putstr("\r\n ERROR: computing signature failed with code: "); + cli_hexdump_byte(rc); + } + cli_putstr("\r\n signature:"); + cli_hexdump_block(sign, sign_len, 4, 16); + cli_putstr("\r\n verifying ... "); + rc = rsa_verify_pkcs1v15(sign, sign_len, hash, 20, &pub_key, &pkcs1v15_sha1_prefix); + cli_putstr("[done]"); + if(rc){ + cli_putstr("\r\n ERROR: verifying signature failed with code: "); + cli_hexdump_byte(rc); + }else{ + cli_putstr("\r\n >>OK<<"); + } + free(sign); + free(msg); +} + +void reset_prng(void){ + uint8_t buf[16]; + memset(buf, 0, 16); + random_seed(buf); + cli_putstr("\r\nPRNG reset"); +} + +void rsa_init(void){ + prng_get_byte = random8; +} + +void load_key(void){ + if(keys_allocated){ + free_key(); + } + keys_allocated = 1; + read_key_crt(); +} + +void test_dump(void){ + char lstr[16]; + int len; + cli_putstr("\r\nenter dump length: "); + cli_getsn(lstr, 15); + len = own_atou(lstr); + cli_putstr("\r\ndumping 0x"); + cli_hexdump_rev(&len, 2); + cli_putstr(" byte:"); + cli_hexdump_block(pub_key.modulus.wordv, len, 4, 8); +} + +/***************************************************************************** + * main * + *****************************************************************************/ + +const char echo_test_str[] = "echo-test"; +const char reset_prng_str[] = "reset-prng"; +const char load_key_str[] = "load-key"; +const char load_fix_key_str[] = "load-fix-key"; +const char quick_test_str[] = "quick-test"; +const char sha1_test_str[] = "sha1-test"; +const char dump_test_str[] = "dump-test"; +const char performance_str[] = "performance"; +const char echo_str[] = "echo"; + +const cmdlist_entry_t cmdlist[] = { + { reset_prng_str, NULL, reset_prng }, + { load_key_str, NULL, load_key }, + { load_fix_key_str, NULL, load_fix_rsa }, + { quick_test_str, NULL, quick_test }, + { sha1_test_str, NULL, run_sha1_test }, + { dump_test_str, NULL, test_dump }, +// { performance_str, NULL, testrun_performance_bigint }, + { echo_str, (void*)1, (void_fpt)echo_ctrl }, + { NULL, NULL, NULL } +}; + +void dump_sp(void){ + uint8_t x; + uint8_t *xa = &x; + cli_putstr("\r\nstack pointer: ~"); + cli_hexdump_rev(&xa, 4); +} + +int main (void){ + main_setup(); + + for(;;){ + welcome_msg(algo_name); + rsa_init(); + cmd_interface(cmdlist); + } +} diff --git a/test_src/main-salsa20-test.c b/test_src/main-salsa20-test.c index 1588af2..a0c7346 100644 --- a/test_src/main-salsa20-test.c +++ b/test_src/main-salsa20-test.c @@ -42,10 +42,10 @@ void nessie_first(void){ cli_hexdump(key, 16); salsa20_init(key, 128, NULL, &ctx); cli_putstr("\r\n internal state: "); - cli_hexdump_block(ctx.a, 64, 4, 16); + cli_hexdump_block(ctx.a.v8, 64, 4, 16); salsa20_gen(&ctx); cli_putstr("\r\n internal state: "); - cli_hexdump_block(ctx.a, 64, 4, 16); + cli_hexdump_block(ctx.a.v8, 64, 4, 16); cli_putstr("\r\n data: "); cli_hexdump_block(ctx.buffer, 64, 4, 16); @@ -54,13 +54,13 @@ void nessie_first(void){ key[15] = 0x01; cli_putstr("\r\n testing with key: "); cli_hexdump(key, 16); - cli_hexdump_block(ctx.a, 64, 4, 16); + cli_hexdump_block(ctx.a.v8, 64, 4, 16); salsa20_init(key, 128, NULL, &ctx); cli_putstr("\r\n internal state: "); - cli_hexdump_block(ctx.a, 64, 4, 16); + cli_hexdump_block(ctx.a.v8, 64, 4, 16); salsa20_gen(&ctx); cli_putstr("\r\n internal state: "); - cli_hexdump_block(ctx.a, 64, 4, 16); + cli_hexdump_block(ctx.a.v8, 64, 4, 16); cli_putstr("\r\n data: "); cli_hexdump_block(ctx.buffer, 64, 4, 16); } diff --git a/test_src/nessie_hash_test.c b/test_src/nessie_hash_test.c index 4309fd4..c8cdc83 100644 --- a/test_src/nessie_hash_test.c +++ b/test_src/nessie_hash_test.c @@ -235,7 +235,7 @@ void nessie_hash_run(void){ "1234567890123456789012345678901234567890" "1234567890123456789012345678901234567890\0" "8 times \"1234567890\"\0" ; - char* challange[16]; + const char* challange[16]; set=1; nessie_print_setheader(set); dbz_splitup(challange_dbz, challange); diff --git a/test_src/string-extras.c b/test_src/string-extras.c index 6ab077e..52ceab6 100644 --- a/test_src/string-extras.c +++ b/test_src/string-extras.c @@ -157,6 +157,10 @@ void strlwr(char* s){ } */ +char* utoa(unsigned a, char* buffer, uint8_t radix){ + return ultoa((unsigned)a, buffer, radix); +} + char* itoa(int a, char* buffer, uint8_t radix){ if(a<0){ *buffer = '-'; diff --git a/test_src/string-extras.h b/test_src/string-extras.h index 04aa707..f43b2e6 100644 --- a/test_src/string-extras.h +++ b/test_src/string-extras.h @@ -59,5 +59,6 @@ void str_reverse(char* buffer); char* ultoa(unsigned long a, char* buffer, uint8_t radix); char* ulltoa(unsigned long long a, char* buffer, uint8_t radix); +char* utoa(unsigned a, char* buffer, uint8_t radix); char* ustoa(unsigned short a, char* buffer, uint8_t radix); // void strlwr(char* s); diff --git a/testvectors/Md5-128.unverified.test-vectors b/testvectors/Md5-128.unverified.test-vectors new file mode 100644 index 0000000..b7f3313 --- /dev/null +++ b/testvectors/Md5-128.unverified.test-vectors @@ -0,0 +1,6212 @@ +******************************************************************************** +*Project NESSIE - New European Schemes for Signature, Integrity, and Encryption* +******************************************************************************** + +Primitive Name: Md5 +=================== +Hash size: 128 bits + +Test vectors -- set 1 +===================== + +Set 1, vector# 0: + message="" (empty string) + hash=D41D8CD98F00B204E9800998ECF8427E + +Set 1, vector# 1: + message="a" + hash=0CC175B9C0F1B6A831C399E269772661 + +Set 1, vector# 2: + message="abc" + hash=900150983CD24FB0D6963F7D28E17F72 + +Set 1, vector# 3: + message="message digest" + hash=F96B697D7CB7938D525A2F31AAF161D0 + +Set 1, vector# 4: + message="abcdefghijklmnopqrstuvwxyz" + hash=C3FCD3D76192E4007DFB496CCA67E13B + +Set 1, vector# 5: + message="abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq" + hash=8215EF0796A20BCAAAE116D3876C664A + +Set 1, vector# 6: + message="A...Za...z0...9" + hash=D174AB98D277D9F5A5611C2C9F419D9F + +Set 1, vector# 7: + message=8 times "1234567890" + hash=57EDF4A22BE3C955AC49DA2E2107B67A + +Set 1, vector# 8: + message=1 million times "a" + hash=7707D6AE4E027C70EEA2A935C2296F21 + +Test vectors -- set 2 +===================== +Message digests of strings of 0-bits and variable length: + +Set 2, vector# 0: + message=0 zero bits + hash=D41D8CD98F00B204E9800998ECF8427E + +Set 2, vector# 1: + message=1 zero bits + hash=1DA635B1430F171C657206FD69FEE0E8 + +Set 2, vector# 2: + message=2 zero bits + hash=8736DF18E5EC9050B84B10D74E3DD636 + +Set 2, vector# 3: + message=3 zero bits + hash=41EEC0B0BF14E4DC2C74A403EE484BC6 + +Set 2, vector# 4: + message=4 zero bits + hash=C1FD2C92A77EBE4568BF67E3BCFA66C7 + +Set 2, vector# 5: + message=5 zero bits + hash=E3F3086499E6B5985C89FF371DD9DBC0 + +Set 2, vector# 6: + message=6 zero bits + hash=939EA997FD268D5DE4BCF89F2EE35D8F + +Set 2, vector# 7: + message=7 zero bits + hash=D35652F6B84F276B349ACBF6E653B3C0 + +Set 2, vector# 8: + message=8 zero bits + hash=93B885ADFE0DA089CDF634904FD59F71 + +Set 2, vector# 9: + message=9 zero bits + hash=46D61C8735B6FDBE961A42198E9B3739 + +Set 2, vector# 10: + message=10 zero bits + hash=A96786A5E0780EF27A4DE2B492A2A179 + +Set 2, vector# 11: + message=11 zero bits + hash=0EE2E271C6D7EC7D1730F697B44202C8 + +Set 2, vector# 12: + message=12 zero bits + hash=9F281633897DBECC0FFE92E39F385F56 + +Set 2, vector# 13: + message=13 zero bits + hash=C6B4EC4FBF25E6CD11E613F3C2E2E2CB + +Set 2, vector# 14: + message=14 zero bits + hash=403025669BA181DB038218F5B0B11942 + +Set 2, vector# 15: + message=15 zero bits + hash=0BDA3399DCC79F1BD29D9E1D67722A78 + +Set 2, vector# 16: + message=16 zero bits + hash=C4103F122D27677C9DB144CAE1394A66 + +Set 2, vector# 17: + message=17 zero bits + hash=23D059987DF46D89FDDDF44E4B3FE20B + +Set 2, vector# 18: + message=18 zero bits + hash=FBFCB92334A718154BAE248447864FAE + +Set 2, vector# 19: + message=19 zero bits + hash=E6232FFB7F6FDB955366E169655726D0 + +Set 2, vector# 20: + message=20 zero bits + hash=E807B581ABF2EB149CC050DAA86BE54B + +Set 2, vector# 21: + message=21 zero bits + hash=70F6C11F18B0D9CD3415C08D2FD4EA1F + +Set 2, vector# 22: + message=22 zero bits + hash=DF424E18D64F6E6CCFB307C22D589E5F + +Set 2, vector# 23: + message=23 zero bits + hash=1AC388D227AF28311629188FE7D2F756 + +Set 2, vector# 24: + message=24 zero bits + hash=693E9AF84D3DFCC71E640E005BDC5E2E + +Set 2, vector# 25: + message=25 zero bits + hash=3B2ED5291F1A444188063EB82C32A0F9 + +Set 2, vector# 26: + message=26 zero bits + hash=38C9DCCF2E8328DFC8B759EDC7F6559A + +Set 2, vector# 27: + message=27 zero bits + hash=D912B95D10A6922058E0692E1D4497DA + +Set 2, vector# 28: + message=28 zero bits + hash=86918CFF529A59ADE3001DBBDD76A443 + +Set 2, vector# 29: + message=29 zero bits + hash=D21EA674EAD2AB370919CB7208271A87 + +Set 2, vector# 30: + message=30 zero bits + hash=B6D10CB4AEE73EF085EB0322A43D4FD9 + +Set 2, vector# 31: + message=31 zero bits + hash=DB76D52C719480DA203EC0B85FD533B2 + +Set 2, vector# 32: + message=32 zero bits + hash=F1D3FF8443297732862DF21DC4E57262 + +Set 2, vector# 33: + message=33 zero bits + hash=76B226C91FC9B17FD54F787907627071 + +Set 2, vector# 34: + message=34 zero bits + hash=1A82DFC3867D510D6A9759FADB87ED7F + +Set 2, vector# 35: + message=35 zero bits + hash=065A7B9418C4702217B3E50428DE8C16 + +Set 2, vector# 36: + message=36 zero bits + hash=168423CE9D303551738B7DB35374C448 + +Set 2, vector# 37: + message=37 zero bits + hash=C7B94C948010CEB5A04E58028D46328E + +Set 2, vector# 38: + message=38 zero bits + hash=4B3A50C71C135625D432C3C4378AB220 + +Set 2, vector# 39: + message=39 zero bits + hash=056698D5C948B06E806A0617BC3C858C + +Set 2, vector# 40: + message=40 zero bits + hash=CA9C491AC66B2C62500882E93F3719A8 + +Set 2, vector# 41: + message=41 zero bits + hash=31EA5310686C1FFFABC050AA163C5628 + +Set 2, vector# 42: + message=42 zero bits + hash=DC637013A6FB4C9BAF1D183B65D5690C + +Set 2, vector# 43: + message=43 zero bits + hash=2604A076EC8A48EFF8669260F76F7818 + +Set 2, vector# 44: + message=44 zero bits + hash=0046983322721B823D8A801A3A8C7660 + +Set 2, vector# 45: + message=45 zero bits + hash=1E9C94FE3906FFD28D080DA899ABA9A9 + +Set 2, vector# 46: + message=46 zero bits + hash=D6923287590E871D815D1664927DFBC0 + +Set 2, vector# 47: + message=47 zero bits + hash=E32F9E1DB396A65785B2F5BF3922DF4B + +Set 2, vector# 48: + message=48 zero bits + hash=7319468847D7B1AEE40DBF5DD963C999 + +Set 2, vector# 49: + message=49 zero bits + hash=2F45ADDE8199527FD9E387253E161395 + +Set 2, vector# 50: + message=50 zero bits + hash=920B342484465EAF9AF03AD7E26ADDAD + +Set 2, vector# 51: + message=51 zero bits + hash=3B1C9A8D7F8B2C4CB8D26A3C8E32E329 + +Set 2, vector# 52: + message=52 zero bits + hash=85F702AF9CB124BD68F37A2B59255798 + +Set 2, vector# 53: + message=53 zero bits + hash=272F3B62938E243D48B3BF1C7B9E5D20 + +Set 2, vector# 54: + message=54 zero bits + hash=C9A9A74FEAA6C5F6B847CD3DBD00D048 + +Set 2, vector# 55: + message=55 zero bits + hash=58D2AB4247104FE50550A9028EC8A282 + +Set 2, vector# 56: + message=56 zero bits + hash=D310A40483F9399DD7ED1712E0FDD702 + +Set 2, vector# 57: + message=57 zero bits + hash=799BB69652ACF5A5FBEB8E41D8556A30 + +Set 2, vector# 58: + message=58 zero bits + hash=956EAF294DC711B06FD8857DFC364C95 + +Set 2, vector# 59: + message=59 zero bits + hash=FDD2D7C7FED16AD770632C2D62A20379 + +Set 2, vector# 60: + message=60 zero bits + hash=8592A08C086434429170FD3D63D32BD0 + +Set 2, vector# 61: + message=61 zero bits + hash=436C48F45F05C3923852C2CDBC0A0D5E + +Set 2, vector# 62: + message=62 zero bits + hash=27EED465F6F8EC9C0F5EC3EA07776097 + +Set 2, vector# 63: + message=63 zero bits + hash=BB6AD2B70AA7D43C5DB2E73D35317709 + +Set 2, vector# 64: + message=64 zero bits + hash=7DEA362B3FAC8E00956A4952A3D4F474 + +Set 2, vector# 65: + message=65 zero bits + hash=184EC3A1434A2F2C1DF43630D1B31640 + +Set 2, vector# 66: + message=66 zero bits + hash=44328792AD38EDE76552B6194E4A2BCE + +Set 2, vector# 67: + message=67 zero bits + hash=6F7B57800516FD878A62096992DE2F4A + +Set 2, vector# 68: + message=68 zero bits + hash=28CE6940F0628F2E8109618F35D87301 + +Set 2, vector# 69: + message=69 zero bits + hash=CD4D4687BE575898CC65466364D3A4CF + +Set 2, vector# 70: + message=70 zero bits + hash=C2A7E4319791E821F8AE20F658B97154 + +Set 2, vector# 71: + message=71 zero bits + hash=1AF71757EA313DCCF51034927EF5E516 + +Set 2, vector# 72: + message=72 zero bits + hash=3F2829B2FFE8434D67F98A2A98968652 + +Set 2, vector# 73: + message=73 zero bits + hash=ABB61D7EF1F6496C2B84666C6023AC0E + +Set 2, vector# 74: + message=74 zero bits + hash=6682F243E95824834C1A3DFF178DAA72 + +Set 2, vector# 75: + message=75 zero bits + hash=A360435A898C6CBD498D9EF9353BDCB2 + +Set 2, vector# 76: + message=76 zero bits + hash=DB7E0FD95964B3A79CBBA648B754E33C + +Set 2, vector# 77: + message=77 zero bits + hash=6DA9080EAA2E30A34DAF734155482ACD + +Set 2, vector# 78: + message=78 zero bits + hash=48F85771E373A7FDBBF8F650DD04ED1B + +Set 2, vector# 79: + message=79 zero bits + hash=A1519CF5DC6F6CE1E7AAC5C04829F235 + +Set 2, vector# 80: + message=80 zero bits + hash=A63C90CC3684AD8B0A2176A6A8FE9005 + +Set 2, vector# 81: + message=81 zero bits + hash=39057E405EA9A6DBA3B34B08067C76C5 + +Set 2, vector# 82: + message=82 zero bits + hash=E1DD434D5946D248B63650FBA8FE5CA8 + +Set 2, vector# 83: + message=83 zero bits + hash=16F814670C96BCDAF5A45591F66E0034 + +Set 2, vector# 84: + message=84 zero bits + hash=A62F4AE5E8E7BA1067C8E8716618CBEE + +Set 2, vector# 85: + message=85 zero bits + hash=F0C2AD5B31AEF428F6FA2BF741F985B0 + +Set 2, vector# 86: + message=86 zero bits + hash=7D6D1EDA0B28A4EC35A07F673880E1EF + +Set 2, vector# 87: + message=87 zero bits + hash=D9BF1CF5968E2E6AE47506D92E883435 + +Set 2, vector# 88: + message=88 zero bits + hash=74DA4121DC1C0ED2A8E5B0741F824034 + +Set 2, vector# 89: + message=89 zero bits + hash=5AF850FD4D75EDCBD265F72971201FD3 + +Set 2, vector# 90: + message=90 zero bits + hash=9135F73AB1B8C0868BC38679FD56ACEF + +Set 2, vector# 91: + message=91 zero bits + hash=87EF0F6A90B403A5ADDC2B5A9C39C507 + +Set 2, vector# 92: + message=92 zero bits + hash=6EA62B53159AF43935003D9A99812FAF + +Set 2, vector# 93: + message=93 zero bits + hash=F56F3F159F331988C865A6B1D3E042DC + +Set 2, vector# 94: + message=94 zero bits + hash=C6989BCAE7980EBE80678EDF9F1C366F + +Set 2, vector# 95: + message=95 zero bits + hash=AF543608252CD1458451444FFCAC6DE5 + +Set 2, vector# 96: + message=96 zero bits + hash=8DD6BB7329A71449B0A1B292B5999164 + +Set 2, vector# 97: + message=97 zero bits + hash=8BFA2FA8CA676E1283CD7CB3309F0007 + +Set 2, vector# 98: + message=98 zero bits + hash=0BB7B2A6DD178E83DEC651438D7C55F1 + +Set 2, vector# 99: + message=99 zero bits + hash=7520B23967B7BC863F2A1D2C4EDEFDBC + +Set 2, vector#100: + message=100 zero bits + hash=FF2787C467C33266ADC2BAC10CED743C + +Set 2, vector#101: + message=101 zero bits + hash=32216A74985284813387B5C6AEA455CC + +Set 2, vector#102: + message=102 zero bits + hash=1D9314C15AB78FBE610280820BD582E0 + +Set 2, vector#103: + message=103 zero bits + hash=F3F89AD3847241524F254F7B6E01F85B + +Set 2, vector#104: + message=104 zero bits + hash=0B867E53C1D233CE9FE49D54549A2323 + +Set 2, vector#105: + message=105 zero bits + hash=5B42CFD37E7ECD5F6AEF8A94B435AAF0 + +Set 2, vector#106: + message=106 zero bits + hash=C0342E799E0AAF5F482B8AB136214418 + +Set 2, vector#107: + message=107 zero bits + hash=9BE04E320624737D4F2C3BCBA365C62C + +Set 2, vector#108: + message=108 zero bits + hash=22F30D8A7F2C50C3B2E0CA0DBB4F4859 + +Set 2, vector#109: + message=109 zero bits + hash=4161F573137188B5AFB4E38717F2DE79 + +Set 2, vector#110: + message=110 zero bits + hash=4FACB81532AEDF3528770E15D480CFF9 + +Set 2, vector#111: + message=111 zero bits + hash=19EA162AF2F6CCC79373496547AE46CB + +Set 2, vector#112: + message=112 zero bits + hash=36DF9540A5EF4996A9737657E4A8929C + +Set 2, vector#113: + message=113 zero bits + hash=3BBE2AA2EFFDD86C623C40B4EE812895 + +Set 2, vector#114: + message=114 zero bits + hash=4E0C6EAFEA2190F994D2A68170795BC5 + +Set 2, vector#115: + message=115 zero bits + hash=515E920D26C2ABE9BCF50A674E316CAE + +Set 2, vector#116: + message=116 zero bits + hash=37589246EFDB3B50C40C4641504A6E1A + +Set 2, vector#117: + message=117 zero bits + hash=B669945A32193A7380A354A663B4A7F2 + +Set 2, vector#118: + message=118 zero bits + hash=AAB095BBC90CB8A192B4F77508E49472 + +Set 2, vector#119: + message=119 zero bits + hash=F71DAC559F8AF6A3F56A23FB4E1ADC17 + +Set 2, vector#120: + message=120 zero bits + hash=3449C9E5E332F1DBB81505CD739FBF3F + +Set 2, vector#121: + message=121 zero bits + hash=4C5046DA04D84E1D5CDBBFAEBCBBE7BA + +Set 2, vector#122: + message=122 zero bits + hash=5C8AE6F059268995124FEDCF9BEBB295 + +Set 2, vector#123: + message=123 zero bits + hash=7C1A3F4EE1B041A0DC9BE98CBC9BEDA1 + +Set 2, vector#124: + message=124 zero bits + hash=9B08DD5C334008905BA3C82AC02DE973 + +Set 2, vector#125: + message=125 zero bits + hash=C8965550C36BB15081676AE1328D7E7F + +Set 2, vector#126: + message=126 zero bits + hash=83DA349452C42C9ADDABF18601D833C8 + +Set 2, vector#127: + message=127 zero bits + hash=81191CCFFE87E33F0DCD9FDF54B5C60F + +Set 2, vector#128: + message=128 zero bits + hash=4AE71336E44BF9BF79D2752E234818A5 + +Set 2, vector#129: + message=129 zero bits + hash=1D84568BADDAE8E76AD20506C59201CE + +Set 2, vector#130: + message=130 zero bits + hash=3993DC98D4BCEF8619EE22E2D650BC5C + +Set 2, vector#131: + message=131 zero bits + hash=0D4A32705F5AEDE343EC1A0110D3E3D7 + +Set 2, vector#132: + message=132 zero bits + hash=FA9DE2A83B0DB306CAD975F3FDAD63D8 + +Set 2, vector#133: + message=133 zero bits + hash=B2B9C2F7153E91568F03B65E38543894 + +Set 2, vector#134: + message=134 zero bits + hash=4C27ABF23121219051D3864B2610F6CE + +Set 2, vector#135: + message=135 zero bits + hash=9066BB033AE8B87781F1224F7EB8DFDB + +Set 2, vector#136: + message=136 zero bits + hash=F3C8BDB6B9DF478F227AF2CE61C8A5A1 + +Set 2, vector#137: + message=137 zero bits + hash=F6FCE78736CA57EEB25AC4ACB7039CB9 + +Set 2, vector#138: + message=138 zero bits + hash=4B0FC66A3AE3F19E963482328E03E475 + +Set 2, vector#139: + message=139 zero bits + hash=795D8F8A897AD6F8AD6C98AFB32F67DD + +Set 2, vector#140: + message=140 zero bits + hash=857E5BE29B8840B90192949EA3FC65FA + +Set 2, vector#141: + message=141 zero bits + hash=322182A8C8EA57C3D690D487CBD12D61 + +Set 2, vector#142: + message=142 zero bits + hash=A2246479B423AF6D1985A3A5F74715F9 + +Set 2, vector#143: + message=143 zero bits + hash=AB4D55356785021C5679E0A3D2E346D5 + +Set 2, vector#144: + message=144 zero bits + hash=FF035BFF2DCF972EE7DFD023455997EF + +Set 2, vector#145: + message=145 zero bits + hash=9C14C265089970F2AEE422B5B6819C2E + +Set 2, vector#146: + message=146 zero bits + hash=5820AEAC96466145DBD2A6AC90211F9A + +Set 2, vector#147: + message=147 zero bits + hash=EE0BDDEEB8BB573120A8718DC55D2ABF + +Set 2, vector#148: + message=148 zero bits + hash=BBFC2A1EEE9F43968C3FDF099651FD08 + +Set 2, vector#149: + message=149 zero bits + hash=E6CC234F93933B5AB75A6DC47FBBF949 + +Set 2, vector#150: + message=150 zero bits + hash=1C14E5625BB6D440E1AEED0AA3968745 + +Set 2, vector#151: + message=151 zero bits + hash=08AB6D873DDCD8B121B5A271545D9531 + +Set 2, vector#152: + message=152 zero bits + hash=0E6BCE6899FAE841F79024AFBDF7DB1D + +Set 2, vector#153: + message=153 zero bits + hash=593788ACC3516DC90764171C827A29F0 + +Set 2, vector#154: + message=154 zero bits + hash=7951C0EC53A70F8FD3CBE133B86E17DC + +Set 2, vector#155: + message=155 zero bits + hash=0D62FA76FD78CA3CA2A418BB8402D7A3 + +Set 2, vector#156: + message=156 zero bits + hash=20A2A688F7CF1A76B212CEFCE428D48F + +Set 2, vector#157: + message=157 zero bits + hash=198591C0A3D2D389A0F0CA65E11370E1 + +Set 2, vector#158: + message=158 zero bits + hash=C3C849382E297F9E5C0DFA9DD2239D8A + +Set 2, vector#159: + message=159 zero bits + hash=3D62D4D5482D544FF0F5861FF4A9D4DA + +Set 2, vector#160: + message=160 zero bits + hash=441018525208457705BF09A8EE3C1093 + +Set 2, vector#161: + message=161 zero bits + hash=A1A1453794CA727C4969F090001EC12A + +Set 2, vector#162: + message=162 zero bits + hash=45EDF1F219425C67C1F1B494754A0DF4 + +Set 2, vector#163: + message=163 zero bits + hash=49771530E40537B24F455115DB3EB72E + +Set 2, vector#164: + message=164 zero bits + hash=424A935B7AFF8111AD124E2720F55B70 + +Set 2, vector#165: + message=165 zero bits + hash=5CD5CE6022ED55AEECB34A03BCC834B8 + +Set 2, vector#166: + message=166 zero bits + hash=5383D68B744C55271A8C4E76D0647101 + +Set 2, vector#167: + message=167 zero bits + hash=817D22A6ECBED56C333ED327396FE335 + +Set 2, vector#168: + message=168 zero bits + hash=2319AC34F4848755A639FD524038DFD3 + +Set 2, vector#169: + message=169 zero bits + hash=8FA537AFB1FDEBA9C19282DCCAE67E32 + +Set 2, vector#170: + message=170 zero bits + hash=38C6203F9F5B4A81C038D8884FECF495 + +Set 2, vector#171: + message=171 zero bits + hash=AB89A20585EFA3A79955BCD17A4CA979 + +Set 2, vector#172: + message=172 zero bits + hash=A91E318CF0CC4080617A43F122C14CD8 + +Set 2, vector#173: + message=173 zero bits + hash=9C9C602B7CA67E49D9F46E846EBD025E + +Set 2, vector#174: + message=174 zero bits + hash=BB529CB229C913F1F4CFA73E116ACB39 + +Set 2, vector#175: + message=175 zero bits + hash=C338EF7F11BC7D185F89A6B8B081EEC8 + +Set 2, vector#176: + message=176 zero bits + hash=DB46E81649D6863B16BD99AB139C865B + +Set 2, vector#177: + message=177 zero bits + hash=ED57D54A455E712CF2676633F4EAF75E + +Set 2, vector#178: + message=178 zero bits + hash=672226562592065951179F443E5BD30B + +Set 2, vector#179: + message=179 zero bits + hash=F9C07560905A38FAF39A5BE7B3F3DE0F + +Set 2, vector#180: + message=180 zero bits + hash=2A4C06B48070A65F72F3975AC31A62D8 + +Set 2, vector#181: + message=181 zero bits + hash=5B1DAF128182EB4FE4DE07B97A6E2B60 + +Set 2, vector#182: + message=182 zero bits + hash=DC0575829C264CD89A31F2C0E0AA733A + +Set 2, vector#183: + message=183 zero bits + hash=869CA87D2C9FEA874EFA7F0AFC534AD0 + +Set 2, vector#184: + message=184 zero bits + hash=6B43B583E2B662724B6FBB5189F6AB28 + +Set 2, vector#185: + message=185 zero bits + hash=10852B10AFD91A6869EB594FBCD2194D + +Set 2, vector#186: + message=186 zero bits + hash=A349B965B0BA305F997E3E824D53E587 + +Set 2, vector#187: + message=187 zero bits + hash=580AF175CC493D3291AE73031E461C6F + +Set 2, vector#188: + message=188 zero bits + hash=1487D3D5F71415D8BED862ABBB19DB58 + +Set 2, vector#189: + message=189 zero bits + hash=50A62BA229724EEB22A9EFA4B720AA47 + +Set 2, vector#190: + message=190 zero bits + hash=6358E4E2D1D2E204A1635C69790CFDC2 + +Set 2, vector#191: + message=191 zero bits + hash=B32C22431D55BABB0AF50B47C5424215 + +Set 2, vector#192: + message=192 zero bits + hash=1681FFC6E046C7AF98C9E6C232A3FE0A + +Set 2, vector#193: + message=193 zero bits + hash=97EACB4718E8BB7D09375CD586C294FD + +Set 2, vector#194: + message=194 zero bits + hash=6EF028B127003B0F175CE90C41F426F1 + +Set 2, vector#195: + message=195 zero bits + hash=B640B430296EDD6CAC87351A6CA6394B + +Set 2, vector#196: + message=196 zero bits + hash=8991AC04250BE72360C3AABC5981CBF4 + +Set 2, vector#197: + message=197 zero bits + hash=7E7B56150FA2EA9946C3767630096D8A + +Set 2, vector#198: + message=198 zero bits + hash=FE56E950DE0F6D1AA3C3DBBC6B8BA162 + +Set 2, vector#199: + message=199 zero bits + hash=9FC9616C77C5AF337D3C0F24BD2280B9 + +Set 2, vector#200: + message=200 zero bits + hash=D28C293E10139D5D8F6E4592AEAFFC1B + +Set 2, vector#201: + message=201 zero bits + hash=40AFEF80ADE81A823D4EFEA11887422D + +Set 2, vector#202: + message=202 zero bits + hash=3FAE61F701D0901F6E42E2E6BB55DF0E + +Set 2, vector#203: + message=203 zero bits + hash=3AB320C597AD80DCC3B60C3020D9EFDC + +Set 2, vector#204: + message=204 zero bits + hash=B6041D557E1A10B4D99BC684E6D603C1 + +Set 2, vector#205: + message=205 zero bits + hash=30C8523A14BDB04C281728B6EAF964DD + +Set 2, vector#206: + message=206 zero bits + hash=A08295100D8C90E463503DEE4A1DD818 + +Set 2, vector#207: + message=207 zero bits + hash=82C010375595CE17C0ED3E199D6133BD + +Set 2, vector#208: + message=208 zero bits + hash=A396C59A96AF3B36D364448C7B687FB1 + +Set 2, vector#209: + message=209 zero bits + hash=1738A998B8BB181569650C3653085F60 + +Set 2, vector#210: + message=210 zero bits + hash=A9FFAB2FBC2007A1C1B0B2D56E2D40F7 + +Set 2, vector#211: + message=211 zero bits + hash=3775B616FDBC4C3D81BBCE37BE3B60B8 + +Set 2, vector#212: + message=212 zero bits + hash=660DE6942F904BABC8D54AD3218D94AD + +Set 2, vector#213: + message=213 zero bits + hash=BDD3C2CBE37D9677A5C58CDA8B87140A + +Set 2, vector#214: + message=214 zero bits + hash=B6CECC45DB7A3EF60B5A69AD869FA09D + +Set 2, vector#215: + message=215 zero bits + hash=EEBA1501CD2FDD550D75C51799003B02 + +Set 2, vector#216: + message=216 zero bits + hash=65435A5D117AA6B052A5F737D9946A7B + +Set 2, vector#217: + message=217 zero bits + hash=4ABA342D359369ACEE321BEAF0B9A2F6 + +Set 2, vector#218: + message=218 zero bits + hash=5600B13B28A2D85EC8EA63C64B1B971D + +Set 2, vector#219: + message=219 zero bits + hash=5C65C7D954D4B4EB691325A43481C51E + +Set 2, vector#220: + message=220 zero bits + hash=E65DB3F6904B75C3F5C278BAC11AB94A + +Set 2, vector#221: + message=221 zero bits + hash=14469E0A1AAB35BB92F1CFB1246D05B3 + +Set 2, vector#222: + message=222 zero bits + hash=0C34778998648DAE0A87E6E18D0C2CDD + +Set 2, vector#223: + message=223 zero bits + hash=40CA412A3D037E5FF8897E554A581B08 + +Set 2, vector#224: + message=224 zero bits + hash=1C9E99E48A495FE81D388FDB4900E59F + +Set 2, vector#225: + message=225 zero bits + hash=66EBB67EE98C961D4C737DC98213930A + +Set 2, vector#226: + message=226 zero bits + hash=B10C8AEFFF2C21BE56AA2462E587412F + +Set 2, vector#227: + message=227 zero bits + hash=76C9066771856F2F250CD4EABE97B817 + +Set 2, vector#228: + message=228 zero bits + hash=461DE6B52519EF7A0BFDF181898563BF + +Set 2, vector#229: + message=229 zero bits + hash=19D221FC12F6524A5708D613C1667F05 + +Set 2, vector#230: + message=230 zero bits + hash=D4D742D546284167D252FD5D87C39E63 + +Set 2, vector#231: + message=231 zero bits + hash=139157E9F39522D24680A26A55ED8EE8 + +Set 2, vector#232: + message=232 zero bits + hash=4AA476A72347BA44C9BD20C974D0F181 + +Set 2, vector#233: + message=233 zero bits + hash=FB0E4042A8600B47E3A4A8FAAF4B89D4 + +Set 2, vector#234: + message=234 zero bits + hash=262443AE701F6D0E1B919D6FE9115F9A + +Set 2, vector#235: + message=235 zero bits + hash=4C47095FE8B2B39DA3A3548EC17125CA + +Set 2, vector#236: + message=236 zero bits + hash=E4027C3FEE7B1F7CC599042542A1830C + +Set 2, vector#237: + message=237 zero bits + hash=91BFC076FE9A7AAE850DB2DF22DC4D08 + +Set 2, vector#238: + message=238 zero bits + hash=DEB9851AC2BD4544630B4466D7D53877 + +Set 2, vector#239: + message=239 zero bits + hash=2207FA41E52F066AC56CFD21CB4F6B9B + +Set 2, vector#240: + message=240 zero bits + hash=862DEC5C27142824A394BC6464928F48 + +Set 2, vector#241: + message=241 zero bits + hash=1D01FBF2B89F35636F936C94F3B84DA5 + +Set 2, vector#242: + message=242 zero bits + hash=9FB88E11C2ADCCF8D665715DEAC6B111 + +Set 2, vector#243: + message=243 zero bits + hash=8A648F36D004D0D949FEBABE0D1A8881 + +Set 2, vector#244: + message=244 zero bits + hash=296B5C5773CC4722AD91A88A06B23D3E + +Set 2, vector#245: + message=245 zero bits + hash=819A90A4FED92D4B7FE3CD66DE254097 + +Set 2, vector#246: + message=246 zero bits + hash=660035CFB5585CC15787689AAF45B002 + +Set 2, vector#247: + message=247 zero bits + hash=2CB48719C933F91911D68C5FF85E6FE2 + +Set 2, vector#248: + message=248 zero bits + hash=3861FACEE9EFC127E340387F1936B8FB + +Set 2, vector#249: + message=249 zero bits + hash=AB914B4EA8C5B0110058FFD447D71003 + +Set 2, vector#250: + message=250 zero bits + hash=4104EC395DE66EA787292E03D5694528 + +Set 2, vector#251: + message=251 zero bits + hash=F7BD02F359C2A31AD41F7F7B573B8BAF + +Set 2, vector#252: + message=252 zero bits + hash=3621A67E1A9B8F9CD33699B60A757476 + +Set 2, vector#253: + message=253 zero bits + hash=B20F0ACFA845FC2AEBC35699458FF300 + +Set 2, vector#254: + message=254 zero bits + hash=31B7369308F12904E647817C37A28B4D + +Set 2, vector#255: + message=255 zero bits + hash=84FC26DC2C3B3FE523B80C900CC744BD + +Set 2, vector#256: + message=256 zero bits + hash=70BC8F4B72A86921468BF8E8441DCE51 + +Set 2, vector#257: + message=257 zero bits + hash=CA1105339A85FCD64ADDF3F6DE0C568C + +Set 2, vector#258: + message=258 zero bits + hash=B4C875B513AC1E53CC411C472FE316B0 + +Set 2, vector#259: + message=259 zero bits + hash=60155E9916ABE05C296E2BA4611B9B34 + +Set 2, vector#260: + message=260 zero bits + hash=EF04BE9AFDE238915A0C56DE7AD7DDD7 + +Set 2, vector#261: + message=261 zero bits + hash=49035235D0B04CC6BFA582C8F8AB35AE + +Set 2, vector#262: + message=262 zero bits + hash=205646284EF33922935EAE60DE2A0211 + +Set 2, vector#263: + message=263 zero bits + hash=B0BD1BC0750DDCFE7C7E07D961E55547 + +Set 2, vector#264: + message=264 zero bits + hash=099A150E83972A433492A59C2FBE98E0 + +Set 2, vector#265: + message=265 zero bits + hash=DD2018564F4867122DD1DF739B37E2A5 + +Set 2, vector#266: + message=266 zero bits + hash=0591A76B17AE364BD458564A41191F71 + +Set 2, vector#267: + message=267 zero bits + hash=3B384652CB040F9A55938ABC7CDEEF36 + +Set 2, vector#268: + message=268 zero bits + hash=E3F6B7C8CADCD0D48ED6D293B2A56A67 + +Set 2, vector#269: + message=269 zero bits + hash=B899DA66FA22999366ECCC78FB418148 + +Set 2, vector#270: + message=270 zero bits + hash=5200072C4C0928CF60B38AE987C37C82 + +Set 2, vector#271: + message=271 zero bits + hash=21AFF21DFFDC3FFF6BEA43EBB225189A + +Set 2, vector#272: + message=272 zero bits + hash=0B91F1D54F932DC6382DC69F197900CF + +Set 2, vector#273: + message=273 zero bits + hash=43C53FDE218DAFD39FB0CE76CA91D143 + +Set 2, vector#274: + message=274 zero bits + hash=D87FB26295118DEF545BCE43AC78AD4B + +Set 2, vector#275: + message=275 zero bits + hash=F8DF0FFE8C542971EE59A5BB82780BE6 + +Set 2, vector#276: + message=276 zero bits + hash=A81B56BC3850D592D348DE461EB9BE58 + +Set 2, vector#277: + message=277 zero bits + hash=B5EC7B04805C01F0C18A6CDFE366DDDF + +Set 2, vector#278: + message=278 zero bits + hash=4416536B6F88887FF803CAB133C82F3A + +Set 2, vector#279: + message=279 zero bits + hash=4BC1C274FE01EEB6C0A8AF77E8A10DE5 + +Set 2, vector#280: + message=280 zero bits + hash=C54104D7894A1941CA710981DA437F9F + +Set 2, vector#281: + message=281 zero bits + hash=38AE46D7CADED368A0CDC24E7324FA91 + +Set 2, vector#282: + message=282 zero bits + hash=53249218DEDCAC7B7EF5E9B2BE61B3CB + +Set 2, vector#283: + message=283 zero bits + hash=0508FE5958B6423CF5F68BD8522C3AFB + +Set 2, vector#284: + message=284 zero bits + hash=B324DB60EEF689C7FC880A5755632F6C + +Set 2, vector#285: + message=285 zero bits + hash=0DC3CA8C9BDD83F0DBF2920F25D426A2 + +Set 2, vector#286: + message=286 zero bits + hash=C62C16E0683B28500D855E10687B7530 + +Set 2, vector#287: + message=287 zero bits + hash=A734DFAA805694C73697826F00D9B5D3 + +Set 2, vector#288: + message=288 zero bits + hash=81684C2E68ADE2CD4BF9F2E8A67DD4FE + +Set 2, vector#289: + message=289 zero bits + hash=D545F097345B8422F408B5EB62B8D8C9 + +Set 2, vector#290: + message=290 zero bits + hash=DCAB0A2FDE1466B67FE939FA415A52C0 + +Set 2, vector#291: + message=291 zero bits + hash=184D9C1EE9E022AB81A602F009B41BC4 + +Set 2, vector#292: + message=292 zero bits + hash=EF59CD24C8C570A595D74A22D9A98441 + +Set 2, vector#293: + message=293 zero bits + hash=375EEEEF874DDACE44020074D26021B6 + +Set 2, vector#294: + message=294 zero bits + hash=12843307F358AB36D855B04622C3B877 + +Set 2, vector#295: + message=295 zero bits + hash=34B30BAC0E6AD4820908CD31BC0E2AC9 + +Set 2, vector#296: + message=296 zero bits + hash=21E2E8FE686ED0003B67D698B1273481 + +Set 2, vector#297: + message=297 zero bits + hash=AB4311982003E639287B2F38A82F4848 + +Set 2, vector#298: + message=298 zero bits + hash=110CA87857CD18D1E782B2743B3FFC71 + +Set 2, vector#299: + message=299 zero bits + hash=C16BC0A7C05E63A48FFAA81371EC3551 + +Set 2, vector#300: + message=300 zero bits + hash=3E7104A41EA96E87359A6D6F6800A9D4 + +Set 2, vector#301: + message=301 zero bits + hash=FCC47E08FC72C4D940A0BAFBE4F04322 + +Set 2, vector#302: + message=302 zero bits + hash=18C30288F93FBC42EEC93E3020561631 + +Set 2, vector#303: + message=303 zero bits + hash=C68284EF0995F3B4798E8B27455C0644 + +Set 2, vector#304: + message=304 zero bits + hash=F3A534D52E3FE0C7A85B30CA00CA7424 + +Set 2, vector#305: + message=305 zero bits + hash=1FE1C169FF6D567FC1B6A4451CCE8594 + +Set 2, vector#306: + message=306 zero bits + hash=BB0C5E605152539AA1D7C069529C3AA0 + +Set 2, vector#307: + message=307 zero bits + hash=B445806C3E748F23D187936574762F0E + +Set 2, vector#308: + message=308 zero bits + hash=1D3C813AC5118D0616C36C7056C817C6 + +Set 2, vector#309: + message=309 zero bits + hash=FF21C4EB6BD2F9CE1B9EFC7386AB4138 + +Set 2, vector#310: + message=310 zero bits + hash=D84C61B6B4BB79550A71D26F4126DE5D + +Set 2, vector#311: + message=311 zero bits + hash=61F182DF8855AF03972383D100FCDA44 + +Set 2, vector#312: + message=312 zero bits + hash=002D5910DE023EDDCE8358EDF169C07F + +Set 2, vector#313: + message=313 zero bits + hash=FB934D9582EF6FB1A1CC22718A5FA875 + +Set 2, vector#314: + message=314 zero bits + hash=23FDF3D5913EFDEB01BFAC9E0ED6ED98 + +Set 2, vector#315: + message=315 zero bits + hash=D3ADC6C61919DCCF4FF1480D64703FCD + +Set 2, vector#316: + message=316 zero bits + hash=59CF61CCCBCD7AAD447B4F06327EDF0C + +Set 2, vector#317: + message=317 zero bits + hash=D8A56A4ED1F2322D4C1B52736770440E + +Set 2, vector#318: + message=318 zero bits + hash=130EA971172991710337DCAD1423B3A8 + +Set 2, vector#319: + message=319 zero bits + hash=F4F97DB699CAC35F4D7AE9478CE128AE + +Set 2, vector#320: + message=320 zero bits + hash=FD4B38E94292E00251B9F39C47EE5710 + +Set 2, vector#321: + message=321 zero bits + hash=9AE1A7CA80037D48B627E31DCD650943 + +Set 2, vector#322: + message=322 zero bits + hash=8B81FA684E04D81797CAC623C37DF846 + +Set 2, vector#323: + message=323 zero bits + hash=E7BA5388F1572D2E3DC168398AD6ECA3 + +Set 2, vector#324: + message=324 zero bits + hash=4572B9FC1B1ECCCBDC9DD8B7F97904EE + +Set 2, vector#325: + message=325 zero bits + hash=CA321C70C4D53F3F3DCD91C83D155033 + +Set 2, vector#326: + message=326 zero bits + hash=29101351BCDD60823D093F6604B98A82 + +Set 2, vector#327: + message=327 zero bits + hash=A146C035C3C6AD5FE45F37F011315F88 + +Set 2, vector#328: + message=328 zero bits + hash=F5CFD73023C1EEDB6B9569736073F1DD + +Set 2, vector#329: + message=329 zero bits + hash=5A4E09691CA9E8AD0EEA97C085D4D03C + +Set 2, vector#330: + message=330 zero bits + hash=70ABE61A4DD5AEB14FA736E0976DE6E5 + +Set 2, vector#331: + message=331 zero bits + hash=8FFFCD022825F6CC235BF2FBB9B2E207 + +Set 2, vector#332: + message=332 zero bits + hash=0658A248E3E4DD5372FEA2E8772B542E + +Set 2, vector#333: + message=333 zero bits + hash=3924226FD16BDAF7065EF08B1157EA71 + +Set 2, vector#334: + message=334 zero bits + hash=F9F77A8B0068D093D6EBC507620CAE46 + +Set 2, vector#335: + message=335 zero bits + hash=EB040345B6FAD11751F5E54FEBFCAB26 + +Set 2, vector#336: + message=336 zero bits + hash=C183857770364B05C2011BDEBB914ED3 + +Set 2, vector#337: + message=337 zero bits + hash=B52060816ACA15E515721DDB835A9EAA + +Set 2, vector#338: + message=338 zero bits + hash=8E663CD63B6E98E1A608252CD33C558E + +Set 2, vector#339: + message=339 zero bits + hash=C0FB9B8F072433F201694ECAB197E628 + +Set 2, vector#340: + message=340 zero bits + hash=2FD48CCE540B9CEEF2C6343126A3434E + +Set 2, vector#341: + message=341 zero bits + hash=ABC79ADE0021C2A85E8B8816DA65F3DA + +Set 2, vector#342: + message=342 zero bits + hash=B118459A1734D508B9676EEE7CE154D7 + +Set 2, vector#343: + message=343 zero bits + hash=5054F198DC8854D50098B5A15DAF18D4 + +Set 2, vector#344: + message=344 zero bits + hash=AEA2FA668453E23C431649801E5EA548 + +Set 2, vector#345: + message=345 zero bits + hash=CCAD53660C545DFFBED7C53201B17080 + +Set 2, vector#346: + message=346 zero bits + hash=691748E50CDF26CFA87763107323D9D8 + +Set 2, vector#347: + message=347 zero bits + hash=A8B37F87CD110749895767B24A52F7D5 + +Set 2, vector#348: + message=348 zero bits + hash=31A65ED0871D6191AC5FDD906C5329BB + +Set 2, vector#349: + message=349 zero bits + hash=C80CF07C703D8AB863D37D68319DE5D8 + +Set 2, vector#350: + message=350 zero bits + hash=CA174C30ADA90BE690BFEEAE5710DFD9 + +Set 2, vector#351: + message=351 zero bits + hash=52EA1A14E46CEA716C3A2CB3BF415597 + +Set 2, vector#352: + message=352 zero bits + hash=3E5CEB07F51A70D9D431714F04C0272F + +Set 2, vector#353: + message=353 zero bits + hash=3A0ECCE3D93E7839352EC415F7084751 + +Set 2, vector#354: + message=354 zero bits + hash=4D78EFB96FD9863166EA13EED92B57AC + +Set 2, vector#355: + message=355 zero bits + hash=2ADB07017AC9C382D0C7F7D8DCFC978B + +Set 2, vector#356: + message=356 zero bits + hash=1FA5F57D0DBD358E66D9206A6E9873A3 + +Set 2, vector#357: + message=357 zero bits + hash=AEE9B5527A16882BD4A23A49B921F57E + +Set 2, vector#358: + message=358 zero bits + hash=57876AC00BDDA4D4EEBF0911261DB632 + +Set 2, vector#359: + message=359 zero bits + hash=384D9331E0E35B1D0C8A0CFFE5DB44CE + +Set 2, vector#360: + message=360 zero bits + hash=7622214B8536AFE7B89B1C6606069B0D + +Set 2, vector#361: + message=361 zero bits + hash=250E099B27F8F97DB7B902B05428B587 + +Set 2, vector#362: + message=362 zero bits + hash=41CD3B621B55523AB7460CD3F1D8776D + +Set 2, vector#363: + message=363 zero bits + hash=750BE1AC306B5CE1287C4704B38748F0 + +Set 2, vector#364: + message=364 zero bits + hash=F142F4D17D2EB859CC2B2D8C13FC31F8 + +Set 2, vector#365: + message=365 zero bits + hash=D28E9BC672DD4CCD7881D1A382F19B03 + +Set 2, vector#366: + message=366 zero bits + hash=B51A9CE5F4DC1028FF6731D4D0956FD6 + +Set 2, vector#367: + message=367 zero bits + hash=5C981D118B166FFC5B634C5CEDBCA7AE + +Set 2, vector#368: + message=368 zero bits + hash=D898504A722BFF1524134C6AB6A5EAA5 + +Set 2, vector#369: + message=369 zero bits + hash=A22DBD8C8B3BB26258C6C51CEC105219 + +Set 2, vector#370: + message=370 zero bits + hash=B50FE2A4B67868D3AE05DE2D759EB3AE + +Set 2, vector#371: + message=371 zero bits + hash=07DBED4F7D909CC19C94BEFA40CA6FD9 + +Set 2, vector#372: + message=372 zero bits + hash=01E0F327E751A8E99363680A009FEFF6 + +Set 2, vector#373: + message=373 zero bits + hash=ED92095F8A8E643DD1BEB588AE7FD22E + +Set 2, vector#374: + message=374 zero bits + hash=7F5447221EFAEA0A2A36ADFF6A0B76BF + +Set 2, vector#375: + message=375 zero bits + hash=92FAA1E0A4994925B1AB5C9617C5BE35 + +Set 2, vector#376: + message=376 zero bits + hash=0D7DB7FF842F89A36B58FA2541DE2A6C + +Set 2, vector#377: + message=377 zero bits + hash=F83F449F345B9646FEE940E6D47AA55E + +Set 2, vector#378: + message=378 zero bits + hash=CE678C36EBA27963011D4C46445FA91C + +Set 2, vector#379: + message=379 zero bits + hash=672D9218F051AC2264A083F56AFC7521 + +Set 2, vector#380: + message=380 zero bits + hash=8FB111318F3121FD24FFAE5892873F83 + +Set 2, vector#381: + message=381 zero bits + hash=BF02AFFAFCEF2FCE224D059B3FAEFE8C + +Set 2, vector#382: + message=382 zero bits + hash=9011D9F4905AF280B334E151FC99E6CD + +Set 2, vector#383: + message=383 zero bits + hash=766CB85441C7236B3257A945941370D4 + +Set 2, vector#384: + message=384 zero bits + hash=B203621A65475445E6FCDCA717C667B5 + +Set 2, vector#385: + message=385 zero bits + hash=ED5547AF028BCBEC93C8BBFCB8EF824A + +Set 2, vector#386: + message=386 zero bits + hash=EE5912AA33DD8DD31FECB0DFCB732598 + +Set 2, vector#387: + message=387 zero bits + hash=A9310E42443CD2CFD41C45FC8176B47C + +Set 2, vector#388: + message=388 zero bits + hash=1E63712190F1D5EABBD4C2602BF10FB0 + +Set 2, vector#389: + message=389 zero bits + hash=D070F0F0C0F47417C4B2F77FF9EA7A87 + +Set 2, vector#390: + message=390 zero bits + hash=33A44DFB5F1E9C4AF719B5091071FCEF + +Set 2, vector#391: + message=391 zero bits + hash=FA72228146A290CC92EA38B4ECD567AC + +Set 2, vector#392: + message=392 zero bits + hash=884BB48A55DA67B4812805CB8905277D + +Set 2, vector#393: + message=393 zero bits + hash=80E47732A4FF9D6178323064722961E8 + +Set 2, vector#394: + message=394 zero bits + hash=374BF4C70DCAF4E21FFF0054091BBC12 + +Set 2, vector#395: + message=395 zero bits + hash=66F03D9BA2D36597F0DF2EBEA944B32A + +Set 2, vector#396: + message=396 zero bits + hash=F91EDADEA7C093144505029FFE1E17EB + +Set 2, vector#397: + message=397 zero bits + hash=390D1233B61AA40C2F0195FB40438D88 + +Set 2, vector#398: + message=398 zero bits + hash=14364B25A12FE1FDD0AE636ADF023040 + +Set 2, vector#399: + message=399 zero bits + hash=8EE08024502C588A421027C5E5EA8F56 + +Set 2, vector#400: + message=400 zero bits + hash=871BDD96B159C14D15C8D97D9111E9C8 + +Set 2, vector#401: + message=401 zero bits + hash=30818E25CB2A10541C1F54BDC49CEBD3 + +Set 2, vector#402: + message=402 zero bits + hash=5AD1EA1F811EE95B4CE89BE53D4AAD80 + +Set 2, vector#403: + message=403 zero bits + hash=BC32516A8AD87C980D3BC81500F0A589 + +Set 2, vector#404: + message=404 zero bits + hash=A010B7048AAE01544CD13B8E0D7E640A + +Set 2, vector#405: + message=405 zero bits + hash=06AAE5337BB2262C715A5600C67536AE + +Set 2, vector#406: + message=406 zero bits + hash=43183452C7FAE7E22535ABC2DE1BD439 + +Set 2, vector#407: + message=407 zero bits + hash=D31DEC2E4991A548762BA581F935F0AA + +Set 2, vector#408: + message=408 zero bits + hash=E2365BC6A6FBD41287FAE648437296FA + +Set 2, vector#409: + message=409 zero bits + hash=C5377942B1106E68C08188858DC48CF2 + +Set 2, vector#410: + message=410 zero bits + hash=CFD56CD4E7E01113B2A42B9F4D266DF0 + +Set 2, vector#411: + message=411 zero bits + hash=1F9124070423981626D34654D5D593DB + +Set 2, vector#412: + message=412 zero bits + hash=0036ADC167A2E004EF4D7F67F0A4FAED + +Set 2, vector#413: + message=413 zero bits + hash=C04438799E35F0A965EE91D44C99D298 + +Set 2, vector#414: + message=414 zero bits + hash=18B0CB85F6DDE4A491F5EE558D2896AA + +Set 2, vector#415: + message=415 zero bits + hash=5DA0BBCAD090E1092F1F4F4394632DA3 + +Set 2, vector#416: + message=416 zero bits + hash=469AA816010C9C8639A9176F625189AF + +Set 2, vector#417: + message=417 zero bits + hash=6A7FC2F3114B721C71C45DDA99CEE8C3 + +Set 2, vector#418: + message=418 zero bits + hash=9D95BEE8558AA2028876F0D902499824 + +Set 2, vector#419: + message=419 zero bits + hash=1F7EBDB2BE0134F6888BE92B109ABBAD + +Set 2, vector#420: + message=420 zero bits + hash=C5506CA4505F48B8EEC6BB207CF2C75E + +Set 2, vector#421: + message=421 zero bits + hash=9C57D31813BAA4100EFAE8D2CA0DBA9F + +Set 2, vector#422: + message=422 zero bits + hash=A530EE11D52C685EB5DE0C9F88442650 + +Set 2, vector#423: + message=423 zero bits + hash=0D54AF7F3F1E2AFC28524D72545CAB29 + +Set 2, vector#424: + message=424 zero bits + hash=ECA0470178275AC94E5DE381969ED232 + +Set 2, vector#425: + message=425 zero bits + hash=39349F0AD1862C67AC0E65D339BCDD59 + +Set 2, vector#426: + message=426 zero bits + hash=6D00F9F3ED0B401B70F208498567B90A + +Set 2, vector#427: + message=427 zero bits + hash=42F46904B0F27249D9D7B4DD60187CA7 + +Set 2, vector#428: + message=428 zero bits + hash=6031987CB31AD39CDB6CFA119748AD65 + +Set 2, vector#429: + message=429 zero bits + hash=6156FA7852F15973ADE43128DA36EC81 + +Set 2, vector#430: + message=430 zero bits + hash=BD7097DA4BB65C68FE99753655DE9EFA + +Set 2, vector#431: + message=431 zero bits + hash=EE49A777F801BF43583828D8C179575A + +Set 2, vector#432: + message=432 zero bits + hash=8910E6FC12F07A52B796EB55FBF3EDDA + +Set 2, vector#433: + message=433 zero bits + hash=8497AF8A1A79CF2E4A36CD11037F9D6A + +Set 2, vector#434: + message=434 zero bits + hash=8F30D6C4405F8D2EF824C5AABC709BAC + +Set 2, vector#435: + message=435 zero bits + hash=B924171CB8F98419E3B4028CB9011992 + +Set 2, vector#436: + message=436 zero bits + hash=023604B4D275BBECCA7B07BDB6928611 + +Set 2, vector#437: + message=437 zero bits + hash=5F31FAF3EA597C63C5C5925326B06180 + +Set 2, vector#438: + message=438 zero bits + hash=35A566FD193FBFD44D990015BD305AED + +Set 2, vector#439: + message=439 zero bits + hash=8EED66F01242EA5F41861FF63862E576 + +Set 2, vector#440: + message=440 zero bits + hash=C9EA3314B91C9FD4E38F9432064FD1F2 + +Set 2, vector#441: + message=441 zero bits + hash=B664C1404F6557100826B8B92975C038 + +Set 2, vector#442: + message=442 zero bits + hash=459FFA4269AD1953578D43F40D3738E8 + +Set 2, vector#443: + message=443 zero bits + hash=D2A4ECC48D05C9955B6104E8271AFDD5 + +Set 2, vector#444: + message=444 zero bits + hash=4BD47E176EA2354139EC909067FBD0F0 + +Set 2, vector#445: + message=445 zero bits + hash=6A42A7FC2C37A5C0CB8FEE7A32C41AE8 + +Set 2, vector#446: + message=446 zero bits + hash=F483F7427618B8C22656BC02ACE06037 + +Set 2, vector#447: + message=447 zero bits + hash=8CA4325AA9B1EC3624B3D1E3E5E28762 + +Set 2, vector#448: + message=448 zero bits + hash=E3C4DD21A9171FD39D208EFA09BF7883 + +Set 2, vector#449: + message=449 zero bits + hash=CB71C1B32945F74209FF3DA439272F83 + +Set 2, vector#450: + message=450 zero bits + hash=668333DD8754030C99B2661C1C978E2F + +Set 2, vector#451: + message=451 zero bits + hash=B2C6830B238A1951FD312A0A09DA2858 + +Set 2, vector#452: + message=452 zero bits + hash=6FB1FCE6D6F0404DF0F05C538C04AC78 + +Set 2, vector#453: + message=453 zero bits + hash=4BF327023F97CCC5F81B4ABDEBF3631E + +Set 2, vector#454: + message=454 zero bits + hash=0B5E62BD4298DDB5EE64B1485CC77FA3 + +Set 2, vector#455: + message=455 zero bits + hash=83CE7D9E8CEAADCB12817A96AADE7E6C + +Set 2, vector#456: + message=456 zero bits + hash=AB9D8EF2FFA9145D6C325CEFA41D5D4E + +Set 2, vector#457: + message=457 zero bits + hash=F41EDD8960BFA61826CA687B0CC7EBE3 + +Set 2, vector#458: + message=458 zero bits + hash=5E5D5E384A198F4F6D67D33696B2799B + +Set 2, vector#459: + message=459 zero bits + hash=18EB3C7B9EF6275E48E8143CDC4F9423 + +Set 2, vector#460: + message=460 zero bits + hash=A8F41C5A05A5633B59709C018835A331 + +Set 2, vector#461: + message=461 zero bits + hash=B855C9D65B14CE2C9758E41D7AE16F32 + +Set 2, vector#462: + message=462 zero bits + hash=275470CFF7F6C6849BE3693DC0D51453 + +Set 2, vector#463: + message=463 zero bits + hash=2A9EB68F7A4513639706083D3323559D + +Set 2, vector#464: + message=464 zero bits + hash=2C1CF4F76FA1CECC0C4737CFD8D95118 + +Set 2, vector#465: + message=465 zero bits + hash=1229203CD98E0C492F7260670AD19D9E + +Set 2, vector#466: + message=466 zero bits + hash=A365EAB1BB7425C81F5EC4053CBA80FE + +Set 2, vector#467: + message=467 zero bits + hash=971245CDAB394CD2FC78EFF36A5D96C3 + +Set 2, vector#468: + message=468 zero bits + hash=99E23F7E1F7EE096876C99624023526E + +Set 2, vector#469: + message=469 zero bits + hash=AB5B672CE26D3043C026B0CDA4D7637C + +Set 2, vector#470: + message=470 zero bits + hash=BD949582FF170038868250CAD0E38E9B + +Set 2, vector#471: + message=471 zero bits + hash=669427DB6B235CE9813204AE37B737CC + +Set 2, vector#472: + message=472 zero bits + hash=22031453E4C3A1A0D47B0B97D83D8984 + +Set 2, vector#473: + message=473 zero bits + hash=1134DA5E1CB3557B7602D98B597C0BE0 + +Set 2, vector#474: + message=474 zero bits + hash=10B1E4176E35E97991F52712F0FA7044 + +Set 2, vector#475: + message=475 zero bits + hash=1607F63415D954083A0AD71F28B9A347 + +Set 2, vector#476: + message=476 zero bits + hash=839B0400A267E1F6531D4FE446B729B9 + +Set 2, vector#477: + message=477 zero bits + hash=6E53427FC74C886FA760699CB424881F + +Set 2, vector#478: + message=478 zero bits + hash=0DE652181D6BEDA5F69BCF2366102DBA + +Set 2, vector#479: + message=479 zero bits + hash=042A2E058138939EEB4B15D3A50EBC36 + +Set 2, vector#480: + message=480 zero bits + hash=A302A771EE0E3127B8950F0A67D17E49 + +Set 2, vector#481: + message=481 zero bits + hash=C2A318F3E64AC1E33F46C156B22C27D5 + +Set 2, vector#482: + message=482 zero bits + hash=83D589D9973893689477E89716D20B6B + +Set 2, vector#483: + message=483 zero bits + hash=0E96BBA461A7970635C094C4EB744E96 + +Set 2, vector#484: + message=484 zero bits + hash=DB7C461DA3E8872BF3CF032264C702BE + +Set 2, vector#485: + message=485 zero bits + hash=EFE373203D7EE7586B44EDE912A1116D + +Set 2, vector#486: + message=486 zero bits + hash=A2C168F134FEB29706E47B8AA497C068 + +Set 2, vector#487: + message=487 zero bits + hash=5B5D58069403FFB9760454DB6DE2450C + +Set 2, vector#488: + message=488 zero bits + hash=E2A482A3896964675811DBA0BFDE2F0B + +Set 2, vector#489: + message=489 zero bits + hash=915C34269371D38B8F5ED90FBEA7FA0C + +Set 2, vector#490: + message=490 zero bits + hash=9A8A53815D44DE132271CAE69E1DDE84 + +Set 2, vector#491: + message=491 zero bits + hash=F44D3FAFE7030B3E05381C9411C8CFA8 + +Set 2, vector#492: + message=492 zero bits + hash=510CC5192FA74DD257DC9F1041D0F1C8 + +Set 2, vector#493: + message=493 zero bits + hash=0BC0ABD0B328A17F2D67E807C7297C50 + +Set 2, vector#494: + message=494 zero bits + hash=888EDBF176E92D39762F0BD6F4DF2083 + +Set 2, vector#495: + message=495 zero bits + hash=3363D219058214B20720A7F58997812A + +Set 2, vector#496: + message=496 zero bits + hash=8D7D1020185F9B09CC22E789887BE328 + +Set 2, vector#497: + message=497 zero bits + hash=3E810ACE6E4B84F701060E4AAC85281D + +Set 2, vector#498: + message=498 zero bits + hash=C173052F48F3D17FBC7AB9ACAD7ECC09 + +Set 2, vector#499: + message=499 zero bits + hash=81FE687F24ECBCF149F62158B295D0AF + +Set 2, vector#500: + message=500 zero bits + hash=18FA95B60465D579CBE8198C2BFF6204 + +Set 2, vector#501: + message=501 zero bits + hash=AAD8EA0E2AD52F8627A48A1A77659B71 + +Set 2, vector#502: + message=502 zero bits + hash=CD2DB2E907EE97D86C14C9CEB63D8DAB + +Set 2, vector#503: + message=503 zero bits + hash=AAD10F58B1CA18FA8A16788A993D12A3 + +Set 2, vector#504: + message=504 zero bits + hash=65CECFB980D72FDE57D175D6EC1C3F64 + +Set 2, vector#505: + message=505 zero bits + hash=8F311F52EF6AB18FA9C9A246DB3BB23A + +Set 2, vector#506: + message=506 zero bits + hash=D6AF18464AA61B9FB7E59C7CD6422022 + +Set 2, vector#507: + message=507 zero bits + hash=F33507C8834FF1DA98EB51E9A79F50BA + +Set 2, vector#508: + message=508 zero bits + hash=6519FC5E211E969842E0016358F1C1D6 + +Set 2, vector#509: + message=509 zero bits + hash=2CDD0E55DA311A1996F8B862C5A93F80 + +Set 2, vector#510: + message=510 zero bits + hash=5CEE9015096311C53265FD11DA83FEEC + +Set 2, vector#511: + message=511 zero bits + hash=33A304D6DE34A0C367B2E9D6FB181466 + +Set 2, vector#512: + message=512 zero bits + hash=3B5D3C7D207E37DCEEEDD301E35E2E58 + +Set 2, vector#513: + message=513 zero bits + hash=A6140B57566D956C11A4B3A0FD15FF05 + +Set 2, vector#514: + message=514 zero bits + hash=EC256B8E6B908AC7F35989D0EC1DAE43 + +Set 2, vector#515: + message=515 zero bits + hash=F335974E3B6B62A3CBD264D4C5D886C0 + +Set 2, vector#516: + message=516 zero bits + hash=3F137A0E9C2888F90163E480FAD8B643 + +Set 2, vector#517: + message=517 zero bits + hash=95DA04B5282DEA94C2B4C774EB2CC574 + +Set 2, vector#518: + message=518 zero bits + hash=FCF50431CB0BAAA3CA40BAFA138A4187 + +Set 2, vector#519: + message=519 zero bits + hash=BF04D140C47E0B60803A41B0EB64D42F + +Set 2, vector#520: + message=520 zero bits + hash=1EF5E829303A139CE967440E0CDCA10C + +Set 2, vector#521: + message=521 zero bits + hash=CC01634FE72E1687EE42983AB654226A + +Set 2, vector#522: + message=522 zero bits + hash=083700712F34CF357DE52740869391C0 + +Set 2, vector#523: + message=523 zero bits + hash=1365712A36C4B3EA40EF88325D9F3E6A + +Set 2, vector#524: + message=524 zero bits + hash=5FE55E2B2260EACA3F74D2F36AEA39A8 + +Set 2, vector#525: + message=525 zero bits + hash=4F5A6F8D73E04987012E50C5031E9E9A + +Set 2, vector#526: + message=526 zero bits + hash=9DE74548092E90458C899E78BEA833F0 + +Set 2, vector#527: + message=527 zero bits + hash=9F21736A6445121493D82EF3A4C25527 + +Set 2, vector#528: + message=528 zero bits + hash=402535C9F22FF836EA91DD12E8B8847B + +Set 2, vector#529: + message=529 zero bits + hash=F6C1BA33B859792F9C76C009C819E64C + +Set 2, vector#530: + message=530 zero bits + hash=494E3C03F7B7CC897F0F845CDDFA19A8 + +Set 2, vector#531: + message=531 zero bits + hash=3C0B3CCAF73150D5A7F0202D1B2F5009 + +Set 2, vector#532: + message=532 zero bits + hash=24650A05CE53B3E2EEEDA4FA226599D0 + +Set 2, vector#533: + message=533 zero bits + hash=17FD5003821248CCD1D581A8925E211C + +Set 2, vector#534: + message=534 zero bits + hash=F6A55C13DAF22E9178312F4B9B9C5B51 + +Set 2, vector#535: + message=535 zero bits + hash=4D903EEB309412A98621E59A84D400FC + +Set 2, vector#536: + message=536 zero bits + hash=53553242D57214AAA5726A09B05FE7BC + +Set 2, vector#537: + message=537 zero bits + hash=94AB647B551AB325075E0EEE89E5A10C + +Set 2, vector#538: + message=538 zero bits + hash=E8BA33FD9AAEAC02C0023B7AA9D5DB69 + +Set 2, vector#539: + message=539 zero bits + hash=66633EDB3BD542988A7BCBDBB97B89F6 + +Set 2, vector#540: + message=540 zero bits + hash=ED51624462347D1EEE84E73090337DCA + +Set 2, vector#541: + message=541 zero bits + hash=E426B1144E418242CA23F206CBB56B15 + +Set 2, vector#542: + message=542 zero bits + hash=8394EF6AE5C8343F2E95B008AB984DEB + +Set 2, vector#543: + message=543 zero bits + hash=21E71A3D07C8773BCED817C469AEC0AB + +Set 2, vector#544: + message=544 zero bits + hash=7C909B3E2820C8B47ED418753698A6DA + +Set 2, vector#545: + message=545 zero bits + hash=61FCCF82D5E946EF4F5519460B02F3CF + +Set 2, vector#546: + message=546 zero bits + hash=33FBA17A6F1FFBD31E0A54F72765844C + +Set 2, vector#547: + message=547 zero bits + hash=FD3C545473D493838A507F4398841743 + +Set 2, vector#548: + message=548 zero bits + hash=0C975BF3FD0C888A7BC00805B5812C03 + +Set 2, vector#549: + message=549 zero bits + hash=73A4740C2742BAEBECDBE8A7D1F65351 + +Set 2, vector#550: + message=550 zero bits + hash=A3EA62FEF7E204EFEA5AA3A4402596FD + +Set 2, vector#551: + message=551 zero bits + hash=FF44FE3BDB6B60520FCA521ADEF870A8 + +Set 2, vector#552: + message=552 zero bits + hash=3B8151ACFB469AE41D3F0449058076E1 + +Set 2, vector#553: + message=553 zero bits + hash=0A9BC62F63325FFACCE71E2AA08B9A0C + +Set 2, vector#554: + message=554 zero bits + hash=1A76A9A36EB825EE115036D3C0E6913B + +Set 2, vector#555: + message=555 zero bits + hash=A42D85E689EE51E7F3B45E14543FACC8 + +Set 2, vector#556: + message=556 zero bits + hash=B4B651DD64A0999C1FCD1D049F2FE889 + +Set 2, vector#557: + message=557 zero bits + hash=61DAF7F3D82669928C34D7C7FAD5AF07 + +Set 2, vector#558: + message=558 zero bits + hash=ED08AD62D47BCFD0119AD0AA387F05B5 + +Set 2, vector#559: + message=559 zero bits + hash=E2DF751797B572428883FB17BB1A4194 + +Set 2, vector#560: + message=560 zero bits + hash=3287282FA1A1523A294FB018E3679872 + +Set 2, vector#561: + message=561 zero bits + hash=76985D54BE9494064BE5E7080E12617F + +Set 2, vector#562: + message=562 zero bits + hash=B69592B3C4FF4925C640BB0B8A0D8BB5 + +Set 2, vector#563: + message=563 zero bits + hash=E32A87D63C285E4763BCE5ED20627505 + +Set 2, vector#564: + message=564 zero bits + hash=32644861AF40241F36D2AEBF7A698CFD + +Set 2, vector#565: + message=565 zero bits + hash=BC921BEFA307CA896470FB7769BEE74C + +Set 2, vector#566: + message=566 zero bits + hash=B731812D4F88527CD7D7A0A7135B1CA4 + +Set 2, vector#567: + message=567 zero bits + hash=9D5003C61C9B8705F1015448286EE444 + +Set 2, vector#568: + message=568 zero bits + hash=2F0F98115F17F2869C1F59BA804AF077 + +Set 2, vector#569: + message=569 zero bits + hash=D79B7B776927D6756DED0C1BE1401A3B + +Set 2, vector#570: + message=570 zero bits + hash=0312A361897587928B16DF77BB073CDC + +Set 2, vector#571: + message=571 zero bits + hash=756FC2D82152B8B10D3064E921CD2424 + +Set 2, vector#572: + message=572 zero bits + hash=16E97A9E5E2DAB0F09D7472C245012CB + +Set 2, vector#573: + message=573 zero bits + hash=0DCE31C31F6FC81B457A1069CCA565F3 + +Set 2, vector#574: + message=574 zero bits + hash=33507A9107EBCB9753AD0208CED21D91 + +Set 2, vector#575: + message=575 zero bits + hash=914C5DF20EA539A5B38A3F9E4EF58DFC + +Set 2, vector#576: + message=576 zero bits + hash=AC3B5A19643EE5816A1DF17F2FADAAE3 + +Set 2, vector#577: + message=577 zero bits + hash=E5205A7ABDFBFA673421B58ADD11372C + +Set 2, vector#578: + message=578 zero bits + hash=470CB4A28ADE162963C8CBA1C28669CB + +Set 2, vector#579: + message=579 zero bits + hash=5B1139276F31E0CE97C093E29F794676 + +Set 2, vector#580: + message=580 zero bits + hash=9F037F139270E0EE305AAAF3630DCBCA + +Set 2, vector#581: + message=581 zero bits + hash=EA3C28C21FE8C6EE59851947AFC2DB1D + +Set 2, vector#582: + message=582 zero bits + hash=F81ED3D2ED0041376E3B444530906454 + +Set 2, vector#583: + message=583 zero bits + hash=F4327078AB8C429FA098E0231FFCFE12 + +Set 2, vector#584: + message=584 zero bits + hash=FA67AB9184F8D574CEF7CD8E0B2F1A78 + +Set 2, vector#585: + message=585 zero bits + hash=85B8D224F3F183359205172A58A893C5 + +Set 2, vector#586: + message=586 zero bits + hash=463129ED3189B33DDB87C7E1B1343374 + +Set 2, vector#587: + message=587 zero bits + hash=92B5CC04473CA3BD75728F53F7FB4402 + +Set 2, vector#588: + message=588 zero bits + hash=95A5C67B6A0022A36630D07676826CC8 + +Set 2, vector#589: + message=589 zero bits + hash=72046E9A6586B777D76397AC6679BD9D + +Set 2, vector#590: + message=590 zero bits + hash=1BC2F59ECFC92B9378807460FC512774 + +Set 2, vector#591: + message=591 zero bits + hash=54DB4595BA92238D39921AE828913BBE + +Set 2, vector#592: + message=592 zero bits + hash=AA6672FE9E8426F8DD570C81095E1476 + +Set 2, vector#593: + message=593 zero bits + hash=B94E68F12538276D041F728C553AEB78 + +Set 2, vector#594: + message=594 zero bits + hash=3E0FFB3A37F0EFDB1201E4C0E3F4FD21 + +Set 2, vector#595: + message=595 zero bits + hash=8E542197F956CF963438A0A434D8E84D + +Set 2, vector#596: + message=596 zero bits + hash=02A41A73FEEE4C255FE96A3E35CC940F + +Set 2, vector#597: + message=597 zero bits + hash=B92248325DA83E6CD8B0A52B23CC37B9 + +Set 2, vector#598: + message=598 zero bits + hash=16CEC44C44EC706C363B0E8B0EABA1D8 + +Set 2, vector#599: + message=599 zero bits + hash=58D71FAFDAF4C8B16E5D4958B0423D42 + +Set 2, vector#600: + message=600 zero bits + hash=6E36BA0FE61F7C6334305D61299C04CF + +Set 2, vector#601: + message=601 zero bits + hash=DFA7FD1C1277B717A2B6D16092DD2AA1 + +Set 2, vector#602: + message=602 zero bits + hash=1E9084583D3D12AE5C2A383BCC99232A + +Set 2, vector#603: + message=603 zero bits + hash=91A9E5E15009AD3999BAFF0D4B694A08 + +Set 2, vector#604: + message=604 zero bits + hash=A804A9123D2EE509EA0812284935DC46 + +Set 2, vector#605: + message=605 zero bits + hash=E9E3C7393672287BAD8BA5E0E3A63047 + +Set 2, vector#606: + message=606 zero bits + hash=1630168BB4B39DB88EF2462CED263397 + +Set 2, vector#607: + message=607 zero bits + hash=661BFB6BCB0FFDFE6EFDFDF8D824382D + +Set 2, vector#608: + message=608 zero bits + hash=E6B62B76FB2EB2A0E0ADDE0C067DA680 + +Set 2, vector#609: + message=609 zero bits + hash=72810AE07FE917F6E3F153AD1E2D612E + +Set 2, vector#610: + message=610 zero bits + hash=3594D462F2313FB7AB3B1403767CDD36 + +Set 2, vector#611: + message=611 zero bits + hash=52431FF6049CCF4D15A2C7234C9A89F3 + +Set 2, vector#612: + message=612 zero bits + hash=98D44D201AD5E8AEF1035944922979F3 + +Set 2, vector#613: + message=613 zero bits + hash=B5F5274FD6E5CE90F25029533E7B82DD + +Set 2, vector#614: + message=614 zero bits + hash=F7DD2567759C0899B80284F8384B9FF3 + +Set 2, vector#615: + message=615 zero bits + hash=7CB98022372400DCB1231A23B3673F5B + +Set 2, vector#616: + message=616 zero bits + hash=2B62A30906A2B8BF3B68ABD2EF9D105B + +Set 2, vector#617: + message=617 zero bits + hash=2749D604B471507EE13F9BA1D4CB4178 + +Set 2, vector#618: + message=618 zero bits + hash=DE7F21D6D895B44FE4411A2020A326B3 + +Set 2, vector#619: + message=619 zero bits + hash=7040B11296655613A79ED9B15950F4CF + +Set 2, vector#620: + message=620 zero bits + hash=1AB144B5AB709B0E3424FE84F877FC91 + +Set 2, vector#621: + message=621 zero bits + hash=FEC07707D8425EB4B97CD2F3CC41DD59 + +Set 2, vector#622: + message=622 zero bits + hash=B527C851AE9411C679FE806569211CF2 + +Set 2, vector#623: + message=623 zero bits + hash=4427F5939B2B4A9D427CFC8016B7A976 + +Set 2, vector#624: + message=624 zero bits + hash=B79ABF5C5F2244956C7246E9112595CE + +Set 2, vector#625: + message=625 zero bits + hash=C6A839FE592B4688A3E489CB747993E6 + +Set 2, vector#626: + message=626 zero bits + hash=C73BC57828C68CEA57A4C291A5E42616 + +Set 2, vector#627: + message=627 zero bits + hash=BC69BE1B5F15B03713B73E966FB9FC2F + +Set 2, vector#628: + message=628 zero bits + hash=A8E908CDE533E2191CAC03D9E8951E02 + +Set 2, vector#629: + message=629 zero bits + hash=E8AE2DB7F00867E9C80438A92D15F24A + +Set 2, vector#630: + message=630 zero bits + hash=85303BD93E95711FBB82313528D3A072 + +Set 2, vector#631: + message=631 zero bits + hash=57C0CA40ADF195563112736EC4D962FF + +Set 2, vector#632: + message=632 zero bits + hash=55712F2F2F21A8321B9EE45D40B89091 + +Set 2, vector#633: + message=633 zero bits + hash=AEA969DA5EA58774E3A112757D4C3556 + +Set 2, vector#634: + message=634 zero bits + hash=0B776070E20C5B45556C3D365F2E2A4B + +Set 2, vector#635: + message=635 zero bits + hash=7AA71D202140BF6028139ED760FE2A50 + +Set 2, vector#636: + message=636 zero bits + hash=DCD63F8B8E4DA2D6F40A2C0639F24169 + +Set 2, vector#637: + message=637 zero bits + hash=D629AD7E4041352C4C0305B12335B159 + +Set 2, vector#638: + message=638 zero bits + hash=FBB23F27446249043A8D6F804386E99B + +Set 2, vector#639: + message=639 zero bits + hash=56F13C326ED093AFEBC0E5BE10362778 + +Set 2, vector#640: + message=640 zero bits + hash=BBF7C6077962A7C28114DBD10BE947CD + +Set 2, vector#641: + message=641 zero bits + hash=B7A63C7B5075A7E2411203F360035DAC + +Set 2, vector#642: + message=642 zero bits + hash=84A9791DF6AD38264FFD569FFD2B4A17 + +Set 2, vector#643: + message=643 zero bits + hash=3CF23101118B199677A7C1E2F8003593 + +Set 2, vector#644: + message=644 zero bits + hash=BC066463E297D5D77C11FB4546CA71F8 + +Set 2, vector#645: + message=645 zero bits + hash=191D176FC2B0519A6B8E59FB11E7FA5D + +Set 2, vector#646: + message=646 zero bits + hash=097FA71003D1CB607E0B902B4734D14E + +Set 2, vector#647: + message=647 zero bits + hash=51668258D99F2DD517B6EBF7D116480D + +Set 2, vector#648: + message=648 zero bits + hash=9546C10433C45BFB9947449DD8D304DE + +Set 2, vector#649: + message=649 zero bits + hash=5F990B44C6C17B8826F66B5735A58CA7 + +Set 2, vector#650: + message=650 zero bits + hash=33CFDE37D73BFBF4A123887DC9755192 + +Set 2, vector#651: + message=651 zero bits + hash=BECD814E4BCE843239F9F6F31342264A + +Set 2, vector#652: + message=652 zero bits + hash=63B2873FD2676B402ECD8F4F8207DFF6 + +Set 2, vector#653: + message=653 zero bits + hash=D2CD47A3746E70D15614381EB72C8CA3 + +Set 2, vector#654: + message=654 zero bits + hash=AF0DFE52AB4C98F9451A2C9B33F68DCB + +Set 2, vector#655: + message=655 zero bits + hash=D3845D847958BE58429C8395E944DEA9 + +Set 2, vector#656: + message=656 zero bits + hash=516C0567E329930B320357809A0C9149 + +Set 2, vector#657: + message=657 zero bits + hash=1D51D039B55CEDE15FE81B3182F458D8 + +Set 2, vector#658: + message=658 zero bits + hash=FE184A019360E3853E8FEDE68A8CEEFD + +Set 2, vector#659: + message=659 zero bits + hash=2375A926E7D394D1B31448D93859E42B + +Set 2, vector#660: + message=660 zero bits + hash=A03049B0773D8483E3495F4A293B1179 + +Set 2, vector#661: + message=661 zero bits + hash=AF5404823E0F25DF2C930ED8932270D3 + +Set 2, vector#662: + message=662 zero bits + hash=15104505F6F8681C5054942CAC74F533 + +Set 2, vector#663: + message=663 zero bits + hash=3CA34F36E564BB8F1F2EE8055266964C + +Set 2, vector#664: + message=664 zero bits + hash=0EFCE63CF4C085888A2772125DFE7AAA + +Set 2, vector#665: + message=665 zero bits + hash=CE347BA9D94E7A33932E84337E399089 + +Set 2, vector#666: + message=666 zero bits + hash=A1690F2DD28599D3667F0D56344C02CF + +Set 2, vector#667: + message=667 zero bits + hash=D63BE853E6D2016ED79EA136C99F48A4 + +Set 2, vector#668: + message=668 zero bits + hash=67D159316232EC454FB91A8E37D13E91 + +Set 2, vector#669: + message=669 zero bits + hash=78B68214820448D6088ED85F64FAAF48 + +Set 2, vector#670: + message=670 zero bits + hash=270988AB57D78852105E6B6A7B1B86C2 + +Set 2, vector#671: + message=671 zero bits + hash=8B456834D4328988E5C69B0275FE849B + +Set 2, vector#672: + message=672 zero bits + hash=3561C0DFFDB90248FA1FC2D4FB86F08A + +Set 2, vector#673: + message=673 zero bits + hash=5966B8551EBA78FD542280AE4EDA2293 + +Set 2, vector#674: + message=674 zero bits + hash=D2B73DB913A4D97E6EE0A535275AE747 + +Set 2, vector#675: + message=675 zero bits + hash=7EED0DF065FB309AD1890DAEE56B5B59 + +Set 2, vector#676: + message=676 zero bits + hash=C71A618A284A8CF4E96C88929AB868DC + +Set 2, vector#677: + message=677 zero bits + hash=2680CABF10E88C366AC11D06B6AC6A41 + +Set 2, vector#678: + message=678 zero bits + hash=0EF4BB0DB62268E78A31A48E210E92C5 + +Set 2, vector#679: + message=679 zero bits + hash=FF810E615A49A8DD6AA57952614632A6 + +Set 2, vector#680: + message=680 zero bits + hash=EEB20C9BC165677800B6DC7621A50CC9 + +Set 2, vector#681: + message=681 zero bits + hash=D0A67F50B7CC7B8F6F5D8BCE5A139CDB + +Set 2, vector#682: + message=682 zero bits + hash=9B6F3EDE897C27D99F88E293F39E78FB + +Set 2, vector#683: + message=683 zero bits + hash=F10E1B5D8A1E843BBDEBA73E573609AB + +Set 2, vector#684: + message=684 zero bits + hash=464DBC052600DBA34C94084B0EA2F392 + +Set 2, vector#685: + message=685 zero bits + hash=704745D8050CA28EDD0B86C5A03F04AD + +Set 2, vector#686: + message=686 zero bits + hash=0BCB1288DB94FC29EDD88AC473FCD296 + +Set 2, vector#687: + message=687 zero bits + hash=4622F26B8ED6FA06BAEF71D975C29CA7 + +Set 2, vector#688: + message=688 zero bits + hash=BB1EF3DDDA35B590D4AA204D0493E921 + +Set 2, vector#689: + message=689 zero bits + hash=A21F4A4420C829E598D73A0D08C1A53D + +Set 2, vector#690: + message=690 zero bits + hash=C4DD4309834D5B7D8CED4B56AD03A37E + +Set 2, vector#691: + message=691 zero bits + hash=C0FC490F0871A52E163D92F10727AB8F + +Set 2, vector#692: + message=692 zero bits + hash=C68F5B6E7BD749F6241D534CCE556F26 + +Set 2, vector#693: + message=693 zero bits + hash=77280F3AAB4E5B611164739010547800 + +Set 2, vector#694: + message=694 zero bits + hash=6A6ECB4134F9385B27DB1225B485086E + +Set 2, vector#695: + message=695 zero bits + hash=992AEF7295F5818813CE64844357D723 + +Set 2, vector#696: + message=696 zero bits + hash=EECAE68E4F9EE6F037742AAC8F36CC1B + +Set 2, vector#697: + message=697 zero bits + hash=58CF9DED17CC58A7700BB9D270B15A52 + +Set 2, vector#698: + message=698 zero bits + hash=BB448E6F9895C30B4A82B3F8AE017BEC + +Set 2, vector#699: + message=699 zero bits + hash=568777DB8BD0EC3A4DAD6A44E2AD6950 + +Set 2, vector#700: + message=700 zero bits + hash=7BBA8F3F3C642D959339ACF385EA5260 + +Set 2, vector#701: + message=701 zero bits + hash=EB572BDBC33997315F9362C79276BFDB + +Set 2, vector#702: + message=702 zero bits + hash=872207EF9DE60691832C4389DBA1F9DA + +Set 2, vector#703: + message=703 zero bits + hash=CFA2051C35D885F0527ED881CDB2E012 + +Set 2, vector#704: + message=704 zero bits + hash=F2331152449C622545360F18DFDF0E2D + +Set 2, vector#705: + message=705 zero bits + hash=299F643AD5FAB4C693D7443E09EE66E4 + +Set 2, vector#706: + message=706 zero bits + hash=66AC207DA272F1B2B91D92D33EEF0C83 + +Set 2, vector#707: + message=707 zero bits + hash=A68D2270234ADF5BCA97B1930FEF77E9 + +Set 2, vector#708: + message=708 zero bits + hash=7D810473F1B4C0FC0B1CBC738EA58700 + +Set 2, vector#709: + message=709 zero bits + hash=56DAE3553FD72AE239FD5BDB5B95864D + +Set 2, vector#710: + message=710 zero bits + hash=6F8CB26BEEA33ED6FDB0D66468C56895 + +Set 2, vector#711: + message=711 zero bits + hash=EB1562C0686C3551997D8980E70FC680 + +Set 2, vector#712: + message=712 zero bits + hash=335A7C8E767A2DD0ECF3460EAABB0BBD + +Set 2, vector#713: + message=713 zero bits + hash=7C88ECDB0F7B763DF23E976A30547362 + +Set 2, vector#714: + message=714 zero bits + hash=3EE39F62C092FC9C19AD08FA2D5634E7 + +Set 2, vector#715: + message=715 zero bits + hash=C2A5DD81F9A0F455EDFA5905CD0EC57C + +Set 2, vector#716: + message=716 zero bits + hash=8D09FB80FEECFEDEFD4E7675554DD91D + +Set 2, vector#717: + message=717 zero bits + hash=E2A2ADE4791C6CBDCBCA91EF577C612F + +Set 2, vector#718: + message=718 zero bits + hash=B0EE0FDC62FCF2E179B737CB2239CABA + +Set 2, vector#719: + message=719 zero bits + hash=68A62DF85C4E7924DBBF6071C014B291 + +Set 2, vector#720: + message=720 zero bits + hash=3277CA99DFE4A704DF82C63AC9E876FD + +Set 2, vector#721: + message=721 zero bits + hash=9FA3ADEAEBD725665FCA718E5F928736 + +Set 2, vector#722: + message=722 zero bits + hash=6D8803B2A1833F4432866E0C08ABFB0F + +Set 2, vector#723: + message=723 zero bits + hash=5AC8661C27D3BCC79CA066DBD356453C + +Set 2, vector#724: + message=724 zero bits + hash=210E8AA1862D537C270DDD108D042CAB + +Set 2, vector#725: + message=725 zero bits + hash=EDE58220C773D15489430FE4570922FA + +Set 2, vector#726: + message=726 zero bits + hash=263BAC210C8109CA22170E1C6C03AEDB + +Set 2, vector#727: + message=727 zero bits + hash=7BF981647CCCE8D1B439F71A20B30A64 + +Set 2, vector#728: + message=728 zero bits + hash=67130D31B6048171A64ED87D36022A6E + +Set 2, vector#729: + message=729 zero bits + hash=052ECE0F1D49378D0ED040ADC1748163 + +Set 2, vector#730: + message=730 zero bits + hash=A143A45A440D8600C9DB258C2B78D006 + +Set 2, vector#731: + message=731 zero bits + hash=4BC7EE611031AD2223C2164774BD0925 + +Set 2, vector#732: + message=732 zero bits + hash=B4B07FCB5C0FB5A7BFCE1C7CF6A652B5 + +Set 2, vector#733: + message=733 zero bits + hash=51F5103095FB1E3E2D8E0226BD070FD6 + +Set 2, vector#734: + message=734 zero bits + hash=F3067BFBEB463D4D176727505731B70A + +Set 2, vector#735: + message=735 zero bits + hash=C9B4AA4E7A14E85BF47C4D1C488B47F1 + +Set 2, vector#736: + message=736 zero bits + hash=534D78034B774B6266F2189576F8C6E3 + +Set 2, vector#737: + message=737 zero bits + hash=1E7700C29FE15109ACAD078345B9AAAA + +Set 2, vector#738: + message=738 zero bits + hash=D3FE2DCE1591A5AEAF54118C88AFCD6B + +Set 2, vector#739: + message=739 zero bits + hash=53F88BE9E772C3F68EFBBB5FC59377F4 + +Set 2, vector#740: + message=740 zero bits + hash=02D5DCBE62473E83D28DCFB60D41B9C4 + +Set 2, vector#741: + message=741 zero bits + hash=86CB9BCBB2B90CF440EBA166BC8A11EF + +Set 2, vector#742: + message=742 zero bits + hash=00984F46F5EB161A229CA227E2428EA1 + +Set 2, vector#743: + message=743 zero bits + hash=7B7ED0A01C7C98E0A584676168A49B1A + +Set 2, vector#744: + message=744 zero bits + hash=90C805BCB9FA376AACFB38D598EC7BB6 + +Set 2, vector#745: + message=745 zero bits + hash=8483020F87D9AD4319DCD10615106E71 + +Set 2, vector#746: + message=746 zero bits + hash=8444620CF80778B3BE8504D8054D0195 + +Set 2, vector#747: + message=747 zero bits + hash=3A19F6EFA943BA5101A624A4C22C2E71 + +Set 2, vector#748: + message=748 zero bits + hash=669EE665213EB0E263A5BDC7808745ED + +Set 2, vector#749: + message=749 zero bits + hash=8FED836D86A4E71CCA7C49FB1E174CAB + +Set 2, vector#750: + message=750 zero bits + hash=4DA9A1765B1438016507C03BDE29B224 + +Set 2, vector#751: + message=751 zero bits + hash=5AA0B9F7ABE61E75F82DF8408273334F + +Set 2, vector#752: + message=752 zero bits + hash=363C2E67F9E853FBC532D0B6404DB30A + +Set 2, vector#753: + message=753 zero bits + hash=88F4DD769E65288B79BB6D7B3C7A8901 + +Set 2, vector#754: + message=754 zero bits + hash=9EA86CE51B42905CB106AC010FE80F2D + +Set 2, vector#755: + message=755 zero bits + hash=95B039D9D41FD53EF1D81A5D42C74BD1 + +Set 2, vector#756: + message=756 zero bits + hash=BA5DAC8846AC4807405532B6D66FE210 + +Set 2, vector#757: + message=757 zero bits + hash=355BFDFAD498517887F533B909400219 + +Set 2, vector#758: + message=758 zero bits + hash=9087F69A7D2125381B8E490DB623B17B + +Set 2, vector#759: + message=759 zero bits + hash=8555B4CC2C15D2DC2EB7BF343E885533 + +Set 2, vector#760: + message=760 zero bits + hash=0A1DFC18C8C8381F05F8AD9D2B4509B5 + +Set 2, vector#761: + message=761 zero bits + hash=AE0106BBE8EE7554E32E80E2B57CCA82 + +Set 2, vector#762: + message=762 zero bits + hash=6DB6D7E05B75A8A7BA96D184EFFF0124 + +Set 2, vector#763: + message=763 zero bits + hash=FF8BFF9AEA599FE67EB93D0C0B53C6AF + +Set 2, vector#764: + message=764 zero bits + hash=9B140186101F1443453FFAD77FBFF36D + +Set 2, vector#765: + message=765 zero bits + hash=FBE741340C09E966E2437AB18A32629D + +Set 2, vector#766: + message=766 zero bits + hash=B5B8E225769FF277C2C9C650183C11DD + +Set 2, vector#767: + message=767 zero bits + hash=F0AF90CDFA9FC2F1B6DA9CBB6B567922 + +Set 2, vector#768: + message=768 zero bits + hash=ACEB486E7E4B2D2F1C5F2328B503502B + +Set 2, vector#769: + message=769 zero bits + hash=1E210E83F649639921F92C88938D5542 + +Set 2, vector#770: + message=770 zero bits + hash=692552DCEF144E1537CAFA9E919239A8 + +Set 2, vector#771: + message=771 zero bits + hash=B6BFB2A5057CBEF3AFCD66633B8594D4 + +Set 2, vector#772: + message=772 zero bits + hash=3C6D48166CEF5FEE14BD2757A4924BC2 + +Set 2, vector#773: + message=773 zero bits + hash=C861075B049BDEFE66185E8BCADB7A51 + +Set 2, vector#774: + message=774 zero bits + hash=7BE5C9C13B8FE2C2DF446E5A773D0E73 + +Set 2, vector#775: + message=775 zero bits + hash=DFDCBEF8FAABABC8EA42CECD3C9FC608 + +Set 2, vector#776: + message=776 zero bits + hash=9E0573ECB4A0800788A3AA64AD731BBC + +Set 2, vector#777: + message=777 zero bits + hash=58079149366FEB19BE420802D23183BB + +Set 2, vector#778: + message=778 zero bits + hash=C93442C30B670303D1ACEC1FA95ED4E9 + +Set 2, vector#779: + message=779 zero bits + hash=17EFC6C1D66C9F4B78FFB76EB45E1609 + +Set 2, vector#780: + message=780 zero bits + hash=1DDA7C9121C5BD75989479780CDEE8B5 + +Set 2, vector#781: + message=781 zero bits + hash=ABF0BDB3C6DD458962B7F90D17965552 + +Set 2, vector#782: + message=782 zero bits + hash=BC914414B9C9D0B7C4638DE63EFA7743 + +Set 2, vector#783: + message=783 zero bits + hash=44F16D5F5128B7C26FC609392145B792 + +Set 2, vector#784: + message=784 zero bits + hash=33AA8CB471BA9DEE750C069BCA801127 + +Set 2, vector#785: + message=785 zero bits + hash=BE0D9157906FC79539BD896262664E98 + +Set 2, vector#786: + message=786 zero bits + hash=4A50833B5AEAD12D65B7ECEFAD430558 + +Set 2, vector#787: + message=787 zero bits + hash=7DA74CAC21D57A7A049220AAC9B8ADE1 + +Set 2, vector#788: + message=788 zero bits + hash=5B74279447CEAD5B8469411BBAAD9D5A + +Set 2, vector#789: + message=789 zero bits + hash=CF1B95C919AA1383F2F509611F4A6DF4 + +Set 2, vector#790: + message=790 zero bits + hash=6C98290EB4FB505DCE1411358729D3E1 + +Set 2, vector#791: + message=791 zero bits + hash=EAC786F3C8CD2450AFD832747D5468FC + +Set 2, vector#792: + message=792 zero bits + hash=FA8715078D45101200A6E2BF7321AA04 + +Set 2, vector#793: + message=793 zero bits + hash=58F92368B16E9164C792C643ED83DB03 + +Set 2, vector#794: + message=794 zero bits + hash=73184A7EFB43212D888DB32342D52306 + +Set 2, vector#795: + message=795 zero bits + hash=252F03DA0C9E3C36169528D3B4E4244F + +Set 2, vector#796: + message=796 zero bits + hash=6CB5910268219BB4A1F1924DEC61F7E0 + +Set 2, vector#797: + message=797 zero bits + hash=2A6064635BC441DF1E658D89F911DA34 + +Set 2, vector#798: + message=798 zero bits + hash=A586F3BB6D4C095608D298AD35EC0747 + +Set 2, vector#799: + message=799 zero bits + hash=6894571883994BDADA44DE460940AABF + +Set 2, vector#800: + message=800 zero bits + hash=6D0BB00954CEB7FBEE436BB55A8397A9 + +Set 2, vector#801: + message=801 zero bits + hash=FE03DA83EDBCC44492E258FD4C6E3D95 + +Set 2, vector#802: + message=802 zero bits + hash=302CD0C621C43B2730DBEBC08837BDC2 + +Set 2, vector#803: + message=803 zero bits + hash=07145B0882C5205A09043382DFAE4F24 + +Set 2, vector#804: + message=804 zero bits + hash=609A91E11075C20892A411FF4F415A5C + +Set 2, vector#805: + message=805 zero bits + hash=6440D61BBB689A3CD2863D16258715EB + +Set 2, vector#806: + message=806 zero bits + hash=F9C6CDD28D3ADE62ED9529733BA97944 + +Set 2, vector#807: + message=807 zero bits + hash=3822E2D7737B67F2FA5B86553C9D53AF + +Set 2, vector#808: + message=808 zero bits + hash=22577911E88AF39F79409E6DE8EED4D9 + +Set 2, vector#809: + message=809 zero bits + hash=CE1C7777325E894FC122DB7340B74509 + +Set 2, vector#810: + message=810 zero bits + hash=3D088C81201763A97D68DE786F2D7AE4 + +Set 2, vector#811: + message=811 zero bits + hash=71901B0612B27ECF046005AA6D21C271 + +Set 2, vector#812: + message=812 zero bits + hash=E28E230D30E365BF78971B0917348303 + +Set 2, vector#813: + message=813 zero bits + hash=A9243A1ACF0BF785C2143C3E176F9C58 + +Set 2, vector#814: + message=814 zero bits + hash=F9E5D359BBFAC32B725A9B71A764114B + +Set 2, vector#815: + message=815 zero bits + hash=B83AB14602D023135055688373ED1214 + +Set 2, vector#816: + message=816 zero bits + hash=F5E502B5576C2CEB07F0F03AFDEDE1F7 + +Set 2, vector#817: + message=817 zero bits + hash=CA982EF1D9E6C25EEE915B4429330F89 + +Set 2, vector#818: + message=818 zero bits + hash=3A4DD06175BD80C2DB56C03B0CF91B6F + +Set 2, vector#819: + message=819 zero bits + hash=2D0E135F1F85742725FDD6EBF9064B6C + +Set 2, vector#820: + message=820 zero bits + hash=B522B3D82D65EAD26299722EEA2A7C7B + +Set 2, vector#821: + message=821 zero bits + hash=AC608E3FC997F0C20108B6A4CB5369AF + +Set 2, vector#822: + message=822 zero bits + hash=29906D855DE1D77D344E9526BCB16BD6 + +Set 2, vector#823: + message=823 zero bits + hash=924153067F9EF84ABEBBB33AE42426DB + +Set 2, vector#824: + message=824 zero bits + hash=213E635DAC590095B5681A944A5713A2 + +Set 2, vector#825: + message=825 zero bits + hash=BD8193704A4938ED98AB586208DE478F + +Set 2, vector#826: + message=826 zero bits + hash=2E1F0B9E41C348EB0DA99DF5667F27C8 + +Set 2, vector#827: + message=827 zero bits + hash=6DFF532A65D8BFBC31CA72DD8A1FAD56 + +Set 2, vector#828: + message=828 zero bits + hash=C0FFDDF8EB84D9E177AFA9450E315006 + +Set 2, vector#829: + message=829 zero bits + hash=9CB5F3250AD3F34D6994B0D4332906F7 + +Set 2, vector#830: + message=830 zero bits + hash=ED6217AC43B3A339BB9670F04FDD42DB + +Set 2, vector#831: + message=831 zero bits + hash=687BBB8445191A64CCEEC72ECDF7998F + +Set 2, vector#832: + message=832 zero bits + hash=3189DE1FF1F8AFED0F70E352DFCD2ABB + +Set 2, vector#833: + message=833 zero bits + hash=D73CA7D6139850E92EF17C9B63414D3F + +Set 2, vector#834: + message=834 zero bits + hash=292C6A02EAFC56625ECD8310193FC285 + +Set 2, vector#835: + message=835 zero bits + hash=C052DD8D3EED56A57655DA04CD7CC2F9 + +Set 2, vector#836: + message=836 zero bits + hash=45FF77A86FE70EEBCD90FC47CC9E8680 + +Set 2, vector#837: + message=837 zero bits + hash=D32C6A6F5F74B664023182D5691899C6 + +Set 2, vector#838: + message=838 zero bits + hash=D5FD0A4541BA90A3EABCCE4B4537516A + +Set 2, vector#839: + message=839 zero bits + hash=950662198F6F2D69F220786452FBC1E8 + +Set 2, vector#840: + message=840 zero bits + hash=D1950D80F172E80F1C48685C51835807 + +Set 2, vector#841: + message=841 zero bits + hash=500858362F3EC254120581F2E0C47AD8 + +Set 2, vector#842: + message=842 zero bits + hash=C1E1D5D3F54FC04A2EB5F0D0512B81F0 + +Set 2, vector#843: + message=843 zero bits + hash=CC8B2477DD4DCA7F034FDBEC6B46F668 + +Set 2, vector#844: + message=844 zero bits + hash=9B42323B56DB36C8271AA35A367CD5AB + +Set 2, vector#845: + message=845 zero bits + hash=AB9016083F7032C6C66674773609D8F2 + +Set 2, vector#846: + message=846 zero bits + hash=0C13D4DDC4F23268FDE9305083417D09 + +Set 2, vector#847: + message=847 zero bits + hash=0189572960A63919F8D2F3D24320F18D + +Set 2, vector#848: + message=848 zero bits + hash=F536FBF78E26387AFFB82EE89943B870 + +Set 2, vector#849: + message=849 zero bits + hash=ED434D617B5C445D52FBA2CE6170AEE8 + +Set 2, vector#850: + message=850 zero bits + hash=DACBBC2C19A755709235A56A16E451F7 + +Set 2, vector#851: + message=851 zero bits + hash=4DC4F7F0A60021A96688D3F3FA76F7BF + +Set 2, vector#852: + message=852 zero bits + hash=AC669ABF3EB3B630D2FAAAC201FCEC00 + +Set 2, vector#853: + message=853 zero bits + hash=60DE296330F876AA18DEB371AE65C7E0 + +Set 2, vector#854: + message=854 zero bits + hash=556FB98F47BA15DB9C8B6B49692ADCEA + +Set 2, vector#855: + message=855 zero bits + hash=8D8ECDA926499533F75F3B658272BE5C + +Set 2, vector#856: + message=856 zero bits + hash=EAF25F841C19E96C5AD6217E6286E28B + +Set 2, vector#857: + message=857 zero bits + hash=BB73DC2D99A0537EE3C0F12484966FA8 + +Set 2, vector#858: + message=858 zero bits + hash=8ED340A4653A223955796FD1F45705EB + +Set 2, vector#859: + message=859 zero bits + hash=8A297E1E2DC0F864285951CCEA06ECA6 + +Set 2, vector#860: + message=860 zero bits + hash=9AC3F95AEB23040DD6A4EF13F5A46AF3 + +Set 2, vector#861: + message=861 zero bits + hash=AAF51B2CA7336B723B037D139422BA41 + +Set 2, vector#862: + message=862 zero bits + hash=BF36BAAE4E1018D282F4344EF585435D + +Set 2, vector#863: + message=863 zero bits + hash=94A06A629AE74CB2A47BAAA1B943F4B3 + +Set 2, vector#864: + message=864 zero bits + hash=60C6B126049A35E50FFFEADF17279275 + +Set 2, vector#865: + message=865 zero bits + hash=649B6E0BB7FEB5FD53161D7EF05B3886 + +Set 2, vector#866: + message=866 zero bits + hash=D9E609017490235FD463CFA0600A5E5A + +Set 2, vector#867: + message=867 zero bits + hash=3BA4A172D940E2AB40AB9CD535BD6F7E + +Set 2, vector#868: + message=868 zero bits + hash=E037A9EF2AEFA27526D1A59BA348A849 + +Set 2, vector#869: + message=869 zero bits + hash=9DB87D8771AD17EC919CF049FE3939AF + +Set 2, vector#870: + message=870 zero bits + hash=D45A3A26D37956A9A4797C9C522FB923 + +Set 2, vector#871: + message=871 zero bits + hash=6A4988B50DD1EC5948C581D6065592CC + +Set 2, vector#872: + message=872 zero bits + hash=AA9ECDC8D4E3ECDDB3CDC851EA2EEB61 + +Set 2, vector#873: + message=873 zero bits + hash=BCFE377D29D3BAF1C8275F3BF248CAF4 + +Set 2, vector#874: + message=874 zero bits + hash=CEB5BACA37F7AEFAE91573A277A86B04 + +Set 2, vector#875: + message=875 zero bits + hash=72EBCA0EA83692160039FB7333B0B16F + +Set 2, vector#876: + message=876 zero bits + hash=95C1F77B645C622A6C20C2D899823374 + +Set 2, vector#877: + message=877 zero bits + hash=F81D627FE03A72B3987AB60067DB355C + +Set 2, vector#878: + message=878 zero bits + hash=919605A52B73DFBD22B737C9E79D61DE + +Set 2, vector#879: + message=879 zero bits + hash=39777887C42637FFEFE1220FC3E37614 + +Set 2, vector#880: + message=880 zero bits + hash=FAEE174ECE449BCA53AEA3129D925069 + +Set 2, vector#881: + message=881 zero bits + hash=392608BC02984B977BFAC994C1A89EBD + +Set 2, vector#882: + message=882 zero bits + hash=92C365C35AD85721569CD9F5EFD4840E + +Set 2, vector#883: + message=883 zero bits + hash=EAEBAE0873258D6D2AA8131F012AB29C + +Set 2, vector#884: + message=884 zero bits + hash=39F47A32D3E2F01E35179FABC7D0604F + +Set 2, vector#885: + message=885 zero bits + hash=4906B114B6F9BD6DAA9253ADD8A3F48A + +Set 2, vector#886: + message=886 zero bits + hash=43B4DCD80F2DDC3D3B705A38790E123B + +Set 2, vector#887: + message=887 zero bits + hash=26D8F90A22BFF9C1232F8D697B616E2B + +Set 2, vector#888: + message=888 zero bits + hash=03BC63B77BEC853ADCB65719A21459CE + +Set 2, vector#889: + message=889 zero bits + hash=3B28E58D682609B7985443C32814005C + +Set 2, vector#890: + message=890 zero bits + hash=3110D7E57271CD3803B4984DD166E199 + +Set 2, vector#891: + message=891 zero bits + hash=B6C441B77B16127D316B8ABA87885777 + +Set 2, vector#892: + message=892 zero bits + hash=7222B1CE1B1B2DC1053B4DAC241B0D90 + +Set 2, vector#893: + message=893 zero bits + hash=C85237A9C2DE43AFD8A8AD579B9DABF2 + +Set 2, vector#894: + message=894 zero bits + hash=DD9286CBBCAC6480C19CBA36BCFE092A + +Set 2, vector#895: + message=895 zero bits + hash=BE91298D0C4230C938F201B0CA70B6E0 + +Set 2, vector#896: + message=896 zero bits + hash=C20019258CA235D2408334DFBC5E67E3 + +Set 2, vector#897: + message=897 zero bits + hash=5E4B1101BCAED796CB86B493A966FC52 + +Set 2, vector#898: + message=898 zero bits + hash=9449FAB1319A17C897D55B12FC3B22A7 + +Set 2, vector#899: + message=899 zero bits + hash=45AAC4778A42A5314FF72402CCACEAF3 + +Set 2, vector#900: + message=900 zero bits + hash=1D000BA2C004371FB659AED01191F285 + +Set 2, vector#901: + message=901 zero bits + hash=A23457548F3276916F56414F638A0AEB + +Set 2, vector#902: + message=902 zero bits + hash=DF3CF9250EEA3E47EE7E281E18EF40E4 + +Set 2, vector#903: + message=903 zero bits + hash=8B6D78C6403313A8CE3034519D9415DF + +Set 2, vector#904: + message=904 zero bits + hash=B9205D5C0A413E022F6C36D4BDFA0750 + +Set 2, vector#905: + message=905 zero bits + hash=65C8F5477305B518392596E7010B2E7D + +Set 2, vector#906: + message=906 zero bits + hash=2F1A77B28C03D9815C727565082646E9 + +Set 2, vector#907: + message=907 zero bits + hash=E5DF45C61143EA4F2A9F0B78F7A4A828 + +Set 2, vector#908: + message=908 zero bits + hash=E6FC4512CA6C36EC292C5063F52DD9F1 + +Set 2, vector#909: + message=909 zero bits + hash=DE5A6D5544DFBCE42F888201390A907E + +Set 2, vector#910: + message=910 zero bits + hash=BA7859B968106E103DBE928D769FC12D + +Set 2, vector#911: + message=911 zero bits + hash=452FD50E0F31066E35E48F10A67884D7 + +Set 2, vector#912: + message=912 zero bits + hash=301657E2669B4C76979A15F801CC2ADF + +Set 2, vector#913: + message=913 zero bits + hash=60F22B1D5C2455F589DDD328CA2C2D7F + +Set 2, vector#914: + message=914 zero bits + hash=8E62279027C857E3328AED1F06E7D3D7 + +Set 2, vector#915: + message=915 zero bits + hash=448DBC4F47E5A0F439CCD9A857EC6528 + +Set 2, vector#916: + message=916 zero bits + hash=094C176222EFD7345E972DF4E9FB7408 + +Set 2, vector#917: + message=917 zero bits + hash=9F0ECE25EF4552BAB67621741A00ADD5 + +Set 2, vector#918: + message=918 zero bits + hash=DEED3676D71227B431C8B879F5EC94B6 + +Set 2, vector#919: + message=919 zero bits + hash=8367F307330413E22B13A2CEBA96DD66 + +Set 2, vector#920: + message=920 zero bits + hash=39DBF807A41E5E4E63B59C9535C72EB7 + +Set 2, vector#921: + message=921 zero bits + hash=7876D543078D7BE5DBE57B2FCD1D047E + +Set 2, vector#922: + message=922 zero bits + hash=ED717DC70408A500125D08168FA59D64 + +Set 2, vector#923: + message=923 zero bits + hash=18343B2F26E4AB3D5A52AA0ED8503B28 + +Set 2, vector#924: + message=924 zero bits + hash=F63E159532EEFC6E3B638B62DEC2E0D4 + +Set 2, vector#925: + message=925 zero bits + hash=3D8B2F4943795C3D1A59A18D4BF8D22A + +Set 2, vector#926: + message=926 zero bits + hash=FABABFB356CA4139326090FC656403CA + +Set 2, vector#927: + message=927 zero bits + hash=3CBF5915D2B3B4C7128B2A1A72BF0DC3 + +Set 2, vector#928: + message=928 zero bits + hash=617F292BEBF954B26D56F326B51C8A82 + +Set 2, vector#929: + message=929 zero bits + hash=39B1A890BBC5D92B2D0596454316D505 + +Set 2, vector#930: + message=930 zero bits + hash=37B6C748CF190966338A0FDB267BC3E7 + +Set 2, vector#931: + message=931 zero bits + hash=6906E292C57D56B83F76EDDCBD29D6C3 + +Set 2, vector#932: + message=932 zero bits + hash=0A34172EE4EA41952596A442E015271E + +Set 2, vector#933: + message=933 zero bits + hash=BE286E91CEB7BDB1375F329E761FD1EC + +Set 2, vector#934: + message=934 zero bits + hash=2E7DA318E96482959F1D3DF3D11B6A84 + +Set 2, vector#935: + message=935 zero bits + hash=0469F23BC8F9FE6A152199E9ED2FAC11 + +Set 2, vector#936: + message=936 zero bits + hash=B5D466335D65B171B686700DEE05EF74 + +Set 2, vector#937: + message=937 zero bits + hash=89AA431A69F3B3786AD76BCAC4043104 + +Set 2, vector#938: + message=938 zero bits + hash=CA7B35842EE01530FF70DFC0101FC191 + +Set 2, vector#939: + message=939 zero bits + hash=BB814C994E879EF7E97A1AC9C8DD6478 + +Set 2, vector#940: + message=940 zero bits + hash=0DFD02553B4DDF982A05E812A97301B2 + +Set 2, vector#941: + message=941 zero bits + hash=761BE13D5747CCBE9B3FF13D9143159A + +Set 2, vector#942: + message=942 zero bits + hash=EFF4AE91ADA4AD7D60B04C36D99F4DD0 + +Set 2, vector#943: + message=943 zero bits + hash=F29268B1DF8B2FB4D1008D8C9EA3CD20 + +Set 2, vector#944: + message=944 zero bits + hash=1A6BF84723F4E07DC1F35F162ACEC19B + +Set 2, vector#945: + message=945 zero bits + hash=7D80FD26D456CD41CF78309FAAAC16E8 + +Set 2, vector#946: + message=946 zero bits + hash=C7F83FF5A77D8915F27FE9FF07EB57A1 + +Set 2, vector#947: + message=947 zero bits + hash=E6764BA6FABAAC496DA367C7CE86001B + +Set 2, vector#948: + message=948 zero bits + hash=A431BEF64810E0C57604FD8B6914DDAA + +Set 2, vector#949: + message=949 zero bits + hash=033D993308FBB34EF6795B6BA3CBDD77 + +Set 2, vector#950: + message=950 zero bits + hash=593D3B7FB9150EFA4C13A6035182C9DA + +Set 2, vector#951: + message=951 zero bits + hash=8FC5127187281126B8B02A8504D8FBD5 + +Set 2, vector#952: + message=952 zero bits + hash=8271CB2E6A546123B43096A2EFCE39D2 + +Set 2, vector#953: + message=953 zero bits + hash=FEACD86498D2BDE95789A291271867B3 + +Set 2, vector#954: + message=954 zero bits + hash=59BD762EF36408DE5BFEC0035779A9A5 + +Set 2, vector#955: + message=955 zero bits + hash=B40098A9BC802773C551B8A834484121 + +Set 2, vector#956: + message=956 zero bits + hash=38690594B307EC6D6D0AC117AAC2092D + +Set 2, vector#957: + message=957 zero bits + hash=DFB27924C9DBE33F2C6AA69A601039B2 + +Set 2, vector#958: + message=958 zero bits + hash=F40C201075E3C8527E8E071EC8E8DD6C + +Set 2, vector#959: + message=959 zero bits + hash=94291C4585F320174586192AE6AAAD16 + +Set 2, vector#960: + message=960 zero bits + hash=222F7D881DED1871724A1B9A1CB94247 + +Set 2, vector#961: + message=961 zero bits + hash=0340AEE9BF2E008763B75ED49B248001 + +Set 2, vector#962: + message=962 zero bits + hash=90FBB233702817F2FB3A919C6580FAD0 + +Set 2, vector#963: + message=963 zero bits + hash=FEBCD5404EFDEC5DC1816C4FEDA34D0C + +Set 2, vector#964: + message=964 zero bits + hash=30063A4CFD3C69D958AB16C661E730E7 + +Set 2, vector#965: + message=965 zero bits + hash=EE22D29F1F635E8103E6FC5077EE4D56 + +Set 2, vector#966: + message=966 zero bits + hash=66C599B864DE6D265B90B227336F3801 + +Set 2, vector#967: + message=967 zero bits + hash=5582E98FD0E3491CBEC704A26ECA8553 + +Set 2, vector#968: + message=968 zero bits + hash=709C6A80AF0276B170C521117EDE47C6 + +Set 2, vector#969: + message=969 zero bits + hash=D93EA306708FF62C2099B6687C891A34 + +Set 2, vector#970: + message=970 zero bits + hash=F3C57870DBBC722E29082517F35AE06F + +Set 2, vector#971: + message=971 zero bits + hash=AA7314ABB846513D166B6011E628EAFD + +Set 2, vector#972: + message=972 zero bits + hash=C0D70E73A1451C3D5A693963A704ED3B + +Set 2, vector#973: + message=973 zero bits + hash=66395B729015B4072983DFC376605A5C + +Set 2, vector#974: + message=974 zero bits + hash=F3C6D6BA10FB53E1C6A2782CEF86DC22 + +Set 2, vector#975: + message=975 zero bits + hash=4FB951862744BB42434AA0B22E422E3B + +Set 2, vector#976: + message=976 zero bits + hash=B7D01D15F7334EED7EA235515822F7D5 + +Set 2, vector#977: + message=977 zero bits + hash=DA076559723D30D65671EA18CF6BA6DC + +Set 2, vector#978: + message=978 zero bits + hash=20D8008CCF0D9717E968E734027F03CC + +Set 2, vector#979: + message=979 zero bits + hash=08B720602D9721AED02E32ACAE9FB8AC + +Set 2, vector#980: + message=980 zero bits + hash=88293C7E38B61C50B5C50BB0A41ECE50 + +Set 2, vector#981: + message=981 zero bits + hash=BDD6D5E3EE7A9EE69B325DC4846CAEFD + +Set 2, vector#982: + message=982 zero bits + hash=0191F1602CF5CBC5A0AD79A1048ABBE0 + +Set 2, vector#983: + message=983 zero bits + hash=47837B16DF8D5007E6A019979DD9B078 + +Set 2, vector#984: + message=984 zero bits + hash=B1FEC41621E338896E2D26F232A6B006 + +Set 2, vector#985: + message=985 zero bits + hash=4226B4EC8DBF8F12F6B52E2868FDF80F + +Set 2, vector#986: + message=986 zero bits + hash=3B980117157439DCE7B7A11F36426527 + +Set 2, vector#987: + message=987 zero bits + hash=7A0AC3DABECDF99D9F5F2A22879A9D3D + +Set 2, vector#988: + message=988 zero bits + hash=C3AB2E628F197033C8032B494CCE404C + +Set 2, vector#989: + message=989 zero bits + hash=A6657FF8393E95C05828E0F12626EF24 + +Set 2, vector#990: + message=990 zero bits + hash=A7829DA2128C6D9B73D1A5116EFFC1B6 + +Set 2, vector#991: + message=991 zero bits + hash=3CB64782E35C56DC775E9FAC0EAE24C0 + +Set 2, vector#992: + message=992 zero bits + hash=3AACEEBD65F0B79F9AE1718D3241BF37 + +Set 2, vector#993: + message=993 zero bits + hash=90D84E7953BBCBFB5D55BE19F5A598E1 + +Set 2, vector#994: + message=994 zero bits + hash=2F499F4DD39DE70DA7BC154F884041EE + +Set 2, vector#995: + message=995 zero bits + hash=CABC11132A3E8337EDACD79709D9C8D9 + +Set 2, vector#996: + message=996 zero bits + hash=F13B70225B2ED0E8E164056164F63AF3 + +Set 2, vector#997: + message=997 zero bits + hash=839344A85F0EA9C434AE63E3D96DFD90 + +Set 2, vector#998: + message=998 zero bits + hash=8AA4A968CFC557DB60D34E197695E0C3 + +Set 2, vector#999: + message=999 zero bits + hash=03606C67BC4E86669D469C881C6B2227 + +Set 2, vector#1000: + message=1000 zero bits + hash=38397588C4D02F8B95C263852E9AEE7A + +Set 2, vector#1001: + message=1001 zero bits + hash=F2E4547CD4E120931E40E1D62E77340B + +Set 2, vector#1002: + message=1002 zero bits + hash=B8C4D9324B2A46B7360D08C5A2F73BE9 + +Set 2, vector#1003: + message=1003 zero bits + hash=A3C1B8C0AD9A57634E9E6BAB8DFA5E89 + +Set 2, vector#1004: + message=1004 zero bits + hash=E86F4ED753FFEE5AB0A542B69E73358E + +Set 2, vector#1005: + message=1005 zero bits + hash=03009E36EEFA228ECE5D1282294A75A8 + +Set 2, vector#1006: + message=1006 zero bits + hash=A16D1F055F40CE9D9FBB93A1BF6BD02E + +Set 2, vector#1007: + message=1007 zero bits + hash=302BF04B57443360F1324882B86E8C3B + +Set 2, vector#1008: + message=1008 zero bits + hash=91492F3350F4A1C513741F6AA8A96B5A + +Set 2, vector#1009: + message=1009 zero bits + hash=3A98550DD7C8B2B4927AE1681AFE2B61 + +Set 2, vector#1010: + message=1010 zero bits + hash=C098EBB2133EFF02BC8ADCF824186D2B + +Set 2, vector#1011: + message=1011 zero bits + hash=17E232E49E097D814CF4695D020BD17B + +Set 2, vector#1012: + message=1012 zero bits + hash=37600C15B477D907F963B2056138C5AA + +Set 2, vector#1013: + message=1013 zero bits + hash=AC2C9A793A7E240B65D8A2E431D482E7 + +Set 2, vector#1014: + message=1014 zero bits + hash=74D75B7326B7204E4A04C4D1BE8DC24F + +Set 2, vector#1015: + message=1015 zero bits + hash=CC38525595AF2A972FAF8D10BBE9FEE8 + +Set 2, vector#1016: + message=1016 zero bits + hash=E457FBAE1DD166A0C89D244AC03F4E93 + +Set 2, vector#1017: + message=1017 zero bits + hash=945497A81962E79245BCA22946AD1567 + +Set 2, vector#1018: + message=1018 zero bits + hash=C51753A394530424EA2434C90803EED3 + +Set 2, vector#1019: + message=1019 zero bits + hash=00469F9E1A0B3DF7A21D349A346D352D + +Set 2, vector#1020: + message=1020 zero bits + hash=3C042A86226E9DF30E9446B1B610104E + +Set 2, vector#1021: + message=1021 zero bits + hash=96BB16CD24A7D15910014DAC5E222DBD + +Set 2, vector#1022: + message=1022 zero bits + hash=8EF4BEDF8C2CC4EDC5769F835136866D + +Set 2, vector#1023: + message=1023 zero bits + hash=3B86C5F8FF317783CA76EAA1FE2835D9 + + +Test vectors -- set 3 +===================== +Message digests of all 512-bit strings S containing a single 1-bit: + +Set 3, vector# 0: + message=512-bit string: 0*00,80,63*00 + hash=D100ADC7D963AC0B837F7AC29DC701D7 + +Set 3, vector# 1: + message=512-bit string: 0*00,40,63*00 + hash=5946DFD41CC23659B3A6671B61BEEBD5 + +Set 3, vector# 2: + message=512-bit string: 0*00,20,63*00 + hash=DEC544A38537D47AE3074C1B1FE258CE + +Set 3, vector# 3: + message=512-bit string: 0*00,10,63*00 + hash=F86BBABF1921DDE8BDA8BFD280C7EF42 + +Set 3, vector# 4: + message=512-bit string: 0*00,08,63*00 + hash=F5504FB61B4A45F425A7E81A5EE46F9D + +Set 3, vector# 5: + message=512-bit string: 0*00,04,63*00 + hash=6D0FE6F22A181464E6445CECCC9F0637 + +Set 3, vector# 6: + message=512-bit string: 0*00,02,63*00 + hash=B17122050F10191A428685C69D6443FC + +Set 3, vector# 7: + message=512-bit string: 0*00,01,63*00 + hash=BC5481E124C00F21E314EF579DC23C42 + +Set 3, vector# 8: + message=512-bit string: 1*00,80,62*00 + hash=E0D1D11DB4A1920B5D1E2AC3C8FF2EE5 + +Set 3, vector# 9: + message=512-bit string: 1*00,40,62*00 + hash=B41789204BFB001544CF30C99B80C2BF + +Set 3, vector# 10: + message=512-bit string: 1*00,20,62*00 + hash=427E645F8141751530520C4AEDF94AF6 + +Set 3, vector# 11: + message=512-bit string: 1*00,10,62*00 + hash=313E604ACFFC20F994BC77A5338868F9 + +Set 3, vector# 12: + message=512-bit string: 1*00,08,62*00 + hash=0A53C1D28669E7E0E50FCDF88C8127C5 + +Set 3, vector# 13: + message=512-bit string: 1*00,04,62*00 + hash=22589A024E2B52B44365C84BF9053EAB + +Set 3, vector# 14: + message=512-bit string: 1*00,02,62*00 + hash=B0052285C8B28883ADDD0728B85A7FA2 + +Set 3, vector# 15: + message=512-bit string: 1*00,01,62*00 + hash=77598FEF54DCD2A8AF4062FEC8EA07D0 + +Set 3, vector# 16: + message=512-bit string: 2*00,80,61*00 + hash=C0516F144ADA2C0093BFEA89C9FA5CEF + +Set 3, vector# 17: + message=512-bit string: 2*00,40,61*00 + hash=1A4AAB1565206E54831978864E6B4E98 + +Set 3, vector# 18: + message=512-bit string: 2*00,20,61*00 + hash=ED46B74E2F7904F49E2FF64038EFC620 + +Set 3, vector# 19: + message=512-bit string: 2*00,10,61*00 + hash=A60F5E85EB851E6367428340BF949D7A + +Set 3, vector# 20: + message=512-bit string: 2*00,08,61*00 + hash=26770E1F01C793D8363B79CEF5594749 + +Set 3, vector# 21: + message=512-bit string: 2*00,04,61*00 + hash=71878DF60B5DF9A34B1064ED509F3B07 + +Set 3, vector# 22: + message=512-bit string: 2*00,02,61*00 + hash=C372906819C3B158A5A91FD08332EEE8 + +Set 3, vector# 23: + message=512-bit string: 2*00,01,61*00 + hash=5E468347458E0171D2459B72FA762A5D + +Set 3, vector# 24: + message=512-bit string: 3*00,80,60*00 + hash=4A3D18FB567AB08710581C9810B3C1F1 + +Set 3, vector# 25: + message=512-bit string: 3*00,40,60*00 + hash=AD2FBD456923D0405A7413463E26FC91 + +Set 3, vector# 26: + message=512-bit string: 3*00,20,60*00 + hash=4B94D72B5CB2CF60E1360035A6A823A9 + +Set 3, vector# 27: + message=512-bit string: 3*00,10,60*00 + hash=562A13C1BC97451ACB25584C7741EECA + +Set 3, vector# 28: + message=512-bit string: 3*00,08,60*00 + hash=97C6A1580F949812E5FEEE45F0DF91E5 + +Set 3, vector# 29: + message=512-bit string: 3*00,04,60*00 + hash=711EB2C46C3E465BCF05204A829D75DB + +Set 3, vector# 30: + message=512-bit string: 3*00,02,60*00 + hash=BE9AA44A92B42D0740A59FC3EF96C59B + +Set 3, vector# 31: + message=512-bit string: 3*00,01,60*00 + hash=841A0BCE1788101C5E650ABFA1367509 + +Set 3, vector# 32: + message=512-bit string: 4*00,80,59*00 + hash=D51020E2512CEF1F19781497A8065252 + +Set 3, vector# 33: + message=512-bit string: 4*00,40,59*00 + hash=03380DEF2104B313079E26A20D65A67C + +Set 3, vector# 34: + message=512-bit string: 4*00,20,59*00 + hash=486D95AC56F4A12878676E896E0A6279 + +Set 3, vector# 35: + message=512-bit string: 4*00,10,59*00 + hash=ED0289B0EA4570C831F880A0007F7404 + +Set 3, vector# 36: + message=512-bit string: 4*00,08,59*00 + hash=667FFB9C10ACBAF700E30EA0C0497BA8 + +Set 3, vector# 37: + message=512-bit string: 4*00,04,59*00 + hash=151C00A49855680BA36700676857A8F4 + +Set 3, vector# 38: + message=512-bit string: 4*00,02,59*00 + hash=CA7CD07DA0E6EDA1040613CF4B70777E + +Set 3, vector# 39: + message=512-bit string: 4*00,01,59*00 + hash=71DA93F3E01AE2945AED2BC4F5052C53 + +Set 3, vector# 40: + message=512-bit string: 5*00,80,58*00 + hash=421AD4DBECDDCCB0138E6A2AC0E4F6FC + +Set 3, vector# 41: + message=512-bit string: 5*00,40,58*00 + hash=30BFC0E8F8C2FC95773138BC8DA947B6 + +Set 3, vector# 42: + message=512-bit string: 5*00,20,58*00 + hash=9D3A13F27EB032F2687D8E6D1788D61E + +Set 3, vector# 43: + message=512-bit string: 5*00,10,58*00 + hash=0BE383B2766ED8B575B9040BC0D42EF5 + +Set 3, vector# 44: + message=512-bit string: 5*00,08,58*00 + hash=4427BC6CC79301E7A26C2A3D8ECB6E10 + +Set 3, vector# 45: + message=512-bit string: 5*00,04,58*00 + hash=534D98E515BA47AACF89E3C351887F68 + +Set 3, vector# 46: + message=512-bit string: 5*00,02,58*00 + hash=8A8A0244B9B3F6F3C0330CBC34304522 + +Set 3, vector# 47: + message=512-bit string: 5*00,01,58*00 + hash=E54B50B64867080469586A3A2B3EF892 + +Set 3, vector# 48: + message=512-bit string: 6*00,80,57*00 + hash=873821E3ED8865BC96639C18B23A9A44 + +Set 3, vector# 49: + message=512-bit string: 6*00,40,57*00 + hash=757E17C903DF12EA67252CBA283B66A0 + +Set 3, vector# 50: + message=512-bit string: 6*00,20,57*00 + hash=D344B3E83A02BCF8D75CF6E5FBEBFCF7 + +Set 3, vector# 51: + message=512-bit string: 6*00,10,57*00 + hash=08A482079AED8725E0A41DA42F3BCF88 + +Set 3, vector# 52: + message=512-bit string: 6*00,08,57*00 + hash=B148E58BB47D90595E34EFD04A6BF45C + +Set 3, vector# 53: + message=512-bit string: 6*00,04,57*00 + hash=FEE2CB77ABF8EE1DBE1FE5112C05EBE7 + +Set 3, vector# 54: + message=512-bit string: 6*00,02,57*00 + hash=4A5DB81DDB230FEBA62388CD585EDFF6 + +Set 3, vector# 55: + message=512-bit string: 6*00,01,57*00 + hash=2B48DCA04A1CB4CCCF74D8C8AEF831E0 + +Set 3, vector# 56: + message=512-bit string: 7*00,80,56*00 + hash=D6B3AA2679C44FFF034482620FC4B6C4 + +Set 3, vector# 57: + message=512-bit string: 7*00,40,56*00 + hash=651C77103A6CAA2DDD64253AB619DCEC + +Set 3, vector# 58: + message=512-bit string: 7*00,20,56*00 + hash=4DA303D58A562B00FD3A168750A5DC51 + +Set 3, vector# 59: + message=512-bit string: 7*00,10,56*00 + hash=13670CF998C2E742F0466D414B10FE03 + +Set 3, vector# 60: + message=512-bit string: 7*00,08,56*00 + hash=0846D2C1F7202CC2DC62B40E23AD1604 + +Set 3, vector# 61: + message=512-bit string: 7*00,04,56*00 + hash=09F09DA03DE4AB2FDCD34A101AA71560 + +Set 3, vector# 62: + message=512-bit string: 7*00,02,56*00 + hash=55876BC89EB5D8A45A063F46A758C83D + +Set 3, vector# 63: + message=512-bit string: 7*00,01,56*00 + hash=FF2719AE2554BA4C0EB721799CDA860E + +Set 3, vector# 64: + message=512-bit string: 8*00,80,55*00 + hash=99B6A99F2BF6E8DFEAE34BC1B8BEA0FE + +Set 3, vector# 65: + message=512-bit string: 8*00,40,55*00 + hash=153A4356041A8AFC4610244D059D625C + +Set 3, vector# 66: + message=512-bit string: 8*00,20,55*00 + hash=ADFF5B78D55AF02CA60DC92EE7A5FB72 + +Set 3, vector# 67: + message=512-bit string: 8*00,10,55*00 + hash=7B25E849B8EF1F651A85707D0B673CE7 + +Set 3, vector# 68: + message=512-bit string: 8*00,08,55*00 + hash=3B81887F8FCBD61A81E98257DBE82814 + +Set 3, vector# 69: + message=512-bit string: 8*00,04,55*00 + hash=3640E4FC3D96346AACC19CE13197BC26 + +Set 3, vector# 70: + message=512-bit string: 8*00,02,55*00 + hash=9F392C0A01B3F31C872501D822E123B1 + +Set 3, vector# 71: + message=512-bit string: 8*00,01,55*00 + hash=FA534E290740E8DF8637C76F1904518B + +Set 3, vector# 72: + message=512-bit string: 9*00,80,54*00 + hash=1C0098B2775421532A7CB1844DD304D9 + +Set 3, vector# 73: + message=512-bit string: 9*00,40,54*00 + hash=CA4123F709792AABD8593207AA3D870E + +Set 3, vector# 74: + message=512-bit string: 9*00,20,54*00 + hash=5425E8B0EFCD62EA3E1C5F1798E5057C + +Set 3, vector# 75: + message=512-bit string: 9*00,10,54*00 + hash=671ABDDEE265899ABEEB777C26FE0628 + +Set 3, vector# 76: + message=512-bit string: 9*00,08,54*00 + hash=3D78D853674651BE79F7EEB985D66CA0 + +Set 3, vector# 77: + message=512-bit string: 9*00,04,54*00 + hash=6EE70CE7ACAC7BBFCAA5918FC7D7A231 + +Set 3, vector# 78: + message=512-bit string: 9*00,02,54*00 + hash=5A8CD68C9E7EBB8EC286F95527E1FABD + +Set 3, vector# 79: + message=512-bit string: 9*00,01,54*00 + hash=A3B9360D025565B5BBB74E11EB4CCAF6 + +Set 3, vector# 80: + message=512-bit string: 10*00,80,53*00 + hash=FF3A4D6DA7A8C8C223B784F7BB89D3A0 + +Set 3, vector# 81: + message=512-bit string: 10*00,40,53*00 + hash=9B2E198A717FF73011A49E4436A993EB + +Set 3, vector# 82: + message=512-bit string: 10*00,20,53*00 + hash=3FE32E36378A361D53811CBB3B65E036 + +Set 3, vector# 83: + message=512-bit string: 10*00,10,53*00 + hash=CBA94A4C71DE66B971CC1D1715B4BF97 + +Set 3, vector# 84: + message=512-bit string: 10*00,08,53*00 + hash=4FFB7C963D0504F6D0F76D3A74982371 + +Set 3, vector# 85: + message=512-bit string: 10*00,04,53*00 + hash=C540F2FF6F64B3F8201CA26DEDF38982 + +Set 3, vector# 86: + message=512-bit string: 10*00,02,53*00 + hash=7BD5B7EDB6049EB30E29F7AA381D8BA9 + +Set 3, vector# 87: + message=512-bit string: 10*00,01,53*00 + hash=4A0630379B12E49EEE8212350A936463 + +Set 3, vector# 88: + message=512-bit string: 11*00,80,52*00 + hash=712E4057E7BD5A9E2F37F24557FE8AD8 + +Set 3, vector# 89: + message=512-bit string: 11*00,40,52*00 + hash=EF98CA91A9657B23B153EFC5711A97C2 + +Set 3, vector# 90: + message=512-bit string: 11*00,20,52*00 + hash=66C77963623201ACADD590E332DCB36A + +Set 3, vector# 91: + message=512-bit string: 11*00,10,52*00 + hash=EE1FA779386BF3ABDFE5B1CDA730BF1F + +Set 3, vector# 92: + message=512-bit string: 11*00,08,52*00 + hash=FA9A2E663AEFB2A3EF14DF8407CC3CC7 + +Set 3, vector# 93: + message=512-bit string: 11*00,04,52*00 + hash=F03821A6191AED4FA02B66A9C7F71C63 + +Set 3, vector# 94: + message=512-bit string: 11*00,02,52*00 + hash=53A7A4B6D595901360F4507D9362D11F + +Set 3, vector# 95: + message=512-bit string: 11*00,01,52*00 + hash=58507FDADC715BB403A179FE094FDB3F + +Set 3, vector# 96: + message=512-bit string: 12*00,80,51*00 + hash=C6A4255B565F0B7FA5F3BF239B3CE550 + +Set 3, vector# 97: + message=512-bit string: 12*00,40,51*00 + hash=331A4C06F709E2BCE0E5331BCD8770F5 + +Set 3, vector# 98: + message=512-bit string: 12*00,20,51*00 + hash=10733E1F79C2B5C1F78C688C43A3CD19 + +Set 3, vector# 99: + message=512-bit string: 12*00,10,51*00 + hash=FD5DDB64A262D775FEAFECBE6B196361 + +Set 3, vector#100: + message=512-bit string: 12*00,08,51*00 + hash=D23F63302AE2F9D987D50641A74D09CD + +Set 3, vector#101: + message=512-bit string: 12*00,04,51*00 + hash=206693D8C90F7FC826820AAD553FB3C0 + +Set 3, vector#102: + message=512-bit string: 12*00,02,51*00 + hash=54571E2A04C159B9CD187E84CD591B5D + +Set 3, vector#103: + message=512-bit string: 12*00,01,51*00 + hash=5FD2ACD825D46FBB58EB912A263D0144 + +Set 3, vector#104: + message=512-bit string: 13*00,80,50*00 + hash=4000D3A40B0CB27806530E25F2CF1645 + +Set 3, vector#105: + message=512-bit string: 13*00,40,50*00 + hash=3129198B6D899EAF6355AA9038E76D25 + +Set 3, vector#106: + message=512-bit string: 13*00,20,50*00 + hash=D8D03681175ADBF8F46242C2EB7DC855 + +Set 3, vector#107: + message=512-bit string: 13*00,10,50*00 + hash=E33B91B2D6B65749DCD7BFD16FF6496D + +Set 3, vector#108: + message=512-bit string: 13*00,08,50*00 + hash=BCC9EF044C7D4A807D7BA8DE5ABD9DA0 + +Set 3, vector#109: + message=512-bit string: 13*00,04,50*00 + hash=48277E4B13A266FF3389F2A5D219A341 + +Set 3, vector#110: + message=512-bit string: 13*00,02,50*00 + hash=04B174213538AAD2F2546F8CDA4E1AE3 + +Set 3, vector#111: + message=512-bit string: 13*00,01,50*00 + hash=1C2D889EABE9B8DF20AF4F82CB8E9F32 + +Set 3, vector#112: + message=512-bit string: 14*00,80,49*00 + hash=2CC4983246D6613B913C46A9A9626AC0 + +Set 3, vector#113: + message=512-bit string: 14*00,40,49*00 + hash=CA27C85CB612740C0B811B117080104E + +Set 3, vector#114: + message=512-bit string: 14*00,20,49*00 + hash=15E7103C17842034916397988BBE4179 + +Set 3, vector#115: + message=512-bit string: 14*00,10,49*00 + hash=52C6EFB891B43888B59871EE62DE12C4 + +Set 3, vector#116: + message=512-bit string: 14*00,08,49*00 + hash=B62131086AFE3EA0965181CC25A4271C + +Set 3, vector#117: + message=512-bit string: 14*00,04,49*00 + hash=F14EB6ABA0B197361A0008A2F7BD2C17 + +Set 3, vector#118: + message=512-bit string: 14*00,02,49*00 + hash=28DEDF5CD293E20E8D4724DE72EF21B4 + +Set 3, vector#119: + message=512-bit string: 14*00,01,49*00 + hash=D734625FCFCECAE9E6422BC9B0E25C09 + +Set 3, vector#120: + message=512-bit string: 15*00,80,48*00 + hash=4837F0FC7F4477E20897DC342E8A441A + +Set 3, vector#121: + message=512-bit string: 15*00,40,48*00 + hash=1707597D3776B9FC9FA1880174591AF2 + +Set 3, vector#122: + message=512-bit string: 15*00,20,48*00 + hash=BF7B65F71482D88575422D0ED5B45F6B + +Set 3, vector#123: + message=512-bit string: 15*00,10,48*00 + hash=D249809882892BAED703041E78B4E31F + +Set 3, vector#124: + message=512-bit string: 15*00,08,48*00 + hash=80D4B2EFDAE671E9201C6EE54CF24744 + +Set 3, vector#125: + message=512-bit string: 15*00,04,48*00 + hash=A7517BC483991C3D517DAD8CB22AE90A + +Set 3, vector#126: + message=512-bit string: 15*00,02,48*00 + hash=4FEC09054AF195AEE8BE25A69EEDAE9D + +Set 3, vector#127: + message=512-bit string: 15*00,01,48*00 + hash=E8E8BBD894CC2E34C30580319F434B0D + +Set 3, vector#128: + message=512-bit string: 16*00,80,47*00 + hash=B8BC4C030D9B5E7C21DAD46C64A01D47 + +Set 3, vector#129: + message=512-bit string: 16*00,40,47*00 + hash=2FE6FF005BD3DD6B7A0DD2E19B494D86 + +Set 3, vector#130: + message=512-bit string: 16*00,20,47*00 + hash=1F19F7138EF63D8E204761C6F94D7A66 + +Set 3, vector#131: + message=512-bit string: 16*00,10,47*00 + hash=4D068C3202A3E6672D423E18F2376590 + +Set 3, vector#132: + message=512-bit string: 16*00,08,47*00 + hash=1E9952941C130B19BB856BF7C575D776 + +Set 3, vector#133: + message=512-bit string: 16*00,04,47*00 + hash=B697FEB25C0DBE9B15AAF267CA43FB00 + +Set 3, vector#134: + message=512-bit string: 16*00,02,47*00 + hash=155EA0621E9038C14C0731059589FD1C + +Set 3, vector#135: + message=512-bit string: 16*00,01,47*00 + hash=BD0C6E70CD8BDD76D1A785E807758744 + +Set 3, vector#136: + message=512-bit string: 17*00,80,46*00 + hash=9D769C10174B8913F7E8169AE915A753 + +Set 3, vector#137: + message=512-bit string: 17*00,40,46*00 + hash=025001736462C0854B38E97E36A6A722 + +Set 3, vector#138: + message=512-bit string: 17*00,20,46*00 + hash=BAAE5CD4937CE794C123719159FB04C3 + +Set 3, vector#139: + message=512-bit string: 17*00,10,46*00 + hash=3308EF5BBED8073DF6C40840B7CB1949 + +Set 3, vector#140: + message=512-bit string: 17*00,08,46*00 + hash=87162A4A837FD93A5E917C697471C471 + +Set 3, vector#141: + message=512-bit string: 17*00,04,46*00 + hash=C6F9639643E42CE1CD58FF5B1FC77F54 + +Set 3, vector#142: + message=512-bit string: 17*00,02,46*00 + hash=04684925D5CB72903C75586AFB22F824 + +Set 3, vector#143: + message=512-bit string: 17*00,01,46*00 + hash=0EB1E65C388190160ECF5A1B0B9D6264 + +Set 3, vector#144: + message=512-bit string: 18*00,80,45*00 + hash=C7257CEB571C737132D11B6521BE67EA + +Set 3, vector#145: + message=512-bit string: 18*00,40,45*00 + hash=EE7648EF561CAE348C3DCC1344CA2D8D + +Set 3, vector#146: + message=512-bit string: 18*00,20,45*00 + hash=18715BA9CAA905F7D42EE35BB9B6DAF0 + +Set 3, vector#147: + message=512-bit string: 18*00,10,45*00 + hash=81F7169AA6B34763F37EC296EDF8E777 + +Set 3, vector#148: + message=512-bit string: 18*00,08,45*00 + hash=16C8DFFC05C2E5A3FAB785169F655EA1 + +Set 3, vector#149: + message=512-bit string: 18*00,04,45*00 + hash=945DBB32B439F6746C1DCA85BCC19650 + +Set 3, vector#150: + message=512-bit string: 18*00,02,45*00 + hash=507294EA0591C0E74EAA016663A9D41B + +Set 3, vector#151: + message=512-bit string: 18*00,01,45*00 + hash=DE75CF7B97DBB781D9B7B5D4AE8204C7 + +Set 3, vector#152: + message=512-bit string: 19*00,80,44*00 + hash=85D06D83AE3EF12D42A55DF38DE3905D + +Set 3, vector#153: + message=512-bit string: 19*00,40,44*00 + hash=515433D6CD023AA480E8E111DC43C7B5 + +Set 3, vector#154: + message=512-bit string: 19*00,20,44*00 + hash=9839348A2E202C867FF409B2AD90E8E3 + +Set 3, vector#155: + message=512-bit string: 19*00,10,44*00 + hash=E8FB9977E83A56190180A77BF3CF73A0 + +Set 3, vector#156: + message=512-bit string: 19*00,08,44*00 + hash=5B80805194B94E300C6356B9316E0485 + +Set 3, vector#157: + message=512-bit string: 19*00,04,44*00 + hash=086E40611F0649CC5B330A0BCD430411 + +Set 3, vector#158: + message=512-bit string: 19*00,02,44*00 + hash=48C94CC7533CAB43EDBCC9828F0416C8 + +Set 3, vector#159: + message=512-bit string: 19*00,01,44*00 + hash=2B6F068A88D555E2E7802FC8A045EA47 + +Set 3, vector#160: + message=512-bit string: 20*00,80,43*00 + hash=2A346699E7C039F552426ACA283A666B + +Set 3, vector#161: + message=512-bit string: 20*00,40,43*00 + hash=E302E0A7AF88DC248AE8EDC617197A36 + +Set 3, vector#162: + message=512-bit string: 20*00,20,43*00 + hash=6A7F062A9765B7E72FA96FA90DDD143E + +Set 3, vector#163: + message=512-bit string: 20*00,10,43*00 + hash=CDBFDCC221EB2FFAA3786130098C8592 + +Set 3, vector#164: + message=512-bit string: 20*00,08,43*00 + hash=F5A9AFB7A3C5007C5AEE6ECFAAE9B40C + +Set 3, vector#165: + message=512-bit string: 20*00,04,43*00 + hash=D5B00318E61E0F34BD1487EE222F7080 + +Set 3, vector#166: + message=512-bit string: 20*00,02,43*00 + hash=333CD297065AF4A6895006E9D4280142 + +Set 3, vector#167: + message=512-bit string: 20*00,01,43*00 + hash=32A631DB7E2CEEBDBEAFB4F875024DE8 + +Set 3, vector#168: + message=512-bit string: 21*00,80,42*00 + hash=AE560D63E7BB6F828FE0F86ADF29F86C + +Set 3, vector#169: + message=512-bit string: 21*00,40,42*00 + hash=9CE9366DA2449989DD4EB7124B1424A3 + +Set 3, vector#170: + message=512-bit string: 21*00,20,42*00 + hash=BAD0D7713C2C6913C46F7F1A2A92B4A4 + +Set 3, vector#171: + message=512-bit string: 21*00,10,42*00 + hash=FD5D05F5B5EB324A2B594BA8D2435825 + +Set 3, vector#172: + message=512-bit string: 21*00,08,42*00 + hash=58E5890DD2E1DAA3F911EC6A9C33B88F + +Set 3, vector#173: + message=512-bit string: 21*00,04,42*00 + hash=368AEBF2535160286C1508E8B0D8015A + +Set 3, vector#174: + message=512-bit string: 21*00,02,42*00 + hash=F9BBF1F99BA8DE645D5DA4E4FC661B13 + +Set 3, vector#175: + message=512-bit string: 21*00,01,42*00 + hash=618688BF18F0A630D8AA26E0644FB20D + +Set 3, vector#176: + message=512-bit string: 22*00,80,41*00 + hash=1EFCDB0E7B1510826FB1073DF48AA5EA + +Set 3, vector#177: + message=512-bit string: 22*00,40,41*00 + hash=0D7D9124EA411E52CA2B01FFA1EE292A + +Set 3, vector#178: + message=512-bit string: 22*00,20,41*00 + hash=BDA259C306268A65B348B575C2CA72CA + +Set 3, vector#179: + message=512-bit string: 22*00,10,41*00 + hash=A3221BD958FEE82FF3C0374885B33138 + +Set 3, vector#180: + message=512-bit string: 22*00,08,41*00 + hash=3ECFA4CF473A94AC01EB576427B2620E + +Set 3, vector#181: + message=512-bit string: 22*00,04,41*00 + hash=75A2FE3A9471A0D8D45EE5756C46DBD5 + +Set 3, vector#182: + message=512-bit string: 22*00,02,41*00 + hash=3106D91DCF01FDCF28203F8F2D9100DB + +Set 3, vector#183: + message=512-bit string: 22*00,01,41*00 + hash=8B80DF449634ADD584C56EC82FA8B491 + +Set 3, vector#184: + message=512-bit string: 23*00,80,40*00 + hash=7642C132B0FF94C2585BFAB0DDD7F6AB + +Set 3, vector#185: + message=512-bit string: 23*00,40,40*00 + hash=1D5E6A65A4ACA67ECD46104B81BE50CB + +Set 3, vector#186: + message=512-bit string: 23*00,20,40*00 + hash=60E861BC3EDB744A966B43EBEDA7B56E + +Set 3, vector#187: + message=512-bit string: 23*00,10,40*00 + hash=6D0BD086D12CEF697B746334883AE196 + +Set 3, vector#188: + message=512-bit string: 23*00,08,40*00 + hash=50B7EC4B54BDBBA0EF6D56765B29E2C0 + +Set 3, vector#189: + message=512-bit string: 23*00,04,40*00 + hash=20D8A4B3C11A4759963AF7A6429FA2C3 + +Set 3, vector#190: + message=512-bit string: 23*00,02,40*00 + hash=98FE37C528A7AE0E341B3DBCCD98EEA6 + +Set 3, vector#191: + message=512-bit string: 23*00,01,40*00 + hash=33D64C0B4E5A9E444252F0738B9C2DE0 + +Set 3, vector#192: + message=512-bit string: 24*00,80,39*00 + hash=5D2BE56802387E0D53C4374EEB8C82B6 + +Set 3, vector#193: + message=512-bit string: 24*00,40,39*00 + hash=5CB0C473C47139C526BDDB60043C68C2 + +Set 3, vector#194: + message=512-bit string: 24*00,20,39*00 + hash=EF271AF9F4401397DDB402C99A4F0F4E + +Set 3, vector#195: + message=512-bit string: 24*00,10,39*00 + hash=72BF2334299E719FA84844CED300CD4A + +Set 3, vector#196: + message=512-bit string: 24*00,08,39*00 + hash=E3FD2AC469580923C48AEE429B3562CB + +Set 3, vector#197: + message=512-bit string: 24*00,04,39*00 + hash=267A19F7B8E18E2B4E720432139B6E8C + +Set 3, vector#198: + message=512-bit string: 24*00,02,39*00 + hash=381382D00904888081A9552B81ED36BB + +Set 3, vector#199: + message=512-bit string: 24*00,01,39*00 + hash=824D1F79E689A04CFD5EE69DDC580BE2 + +Set 3, vector#200: + message=512-bit string: 25*00,80,38*00 + hash=357C82CE0EB4F6F667DEF290C0D1D120 + +Set 3, vector#201: + message=512-bit string: 25*00,40,38*00 + hash=D389C3A8975C0AACB44104CCF632C1F8 + +Set 3, vector#202: + message=512-bit string: 25*00,20,38*00 + hash=03631F92DA0C67552BF7A026D679F723 + +Set 3, vector#203: + message=512-bit string: 25*00,10,38*00 + hash=CB0A3236BB2F2DC7B785BA63676A964D + +Set 3, vector#204: + message=512-bit string: 25*00,08,38*00 + hash=79AC06CCCD507714BD453964ED787677 + +Set 3, vector#205: + message=512-bit string: 25*00,04,38*00 + hash=83B33925BED3AC0EB4F9AF6BC75F0D8B + +Set 3, vector#206: + message=512-bit string: 25*00,02,38*00 + hash=221A948B265FA265ED0217AFA9448AC9 + +Set 3, vector#207: + message=512-bit string: 25*00,01,38*00 + hash=358FBC82B38B0A24D4AF61C87D6C62A5 + +Set 3, vector#208: + message=512-bit string: 26*00,80,37*00 + hash=66D9F3919AE352F3F16246EAD3074E75 + +Set 3, vector#209: + message=512-bit string: 26*00,40,37*00 + hash=84136628469F13A6D30C2F81D9FB8709 + +Set 3, vector#210: + message=512-bit string: 26*00,20,37*00 + hash=6B8D6430324A11559E31A92743F16644 + +Set 3, vector#211: + message=512-bit string: 26*00,10,37*00 + hash=F009B9C33611966B29B945EB38D2B130 + +Set 3, vector#212: + message=512-bit string: 26*00,08,37*00 + hash=DED34074FEDFCDBBCC4DA3074AEB5087 + +Set 3, vector#213: + message=512-bit string: 26*00,04,37*00 + hash=6A528A222478BCA9DFBFAC2A00B64E15 + +Set 3, vector#214: + message=512-bit string: 26*00,02,37*00 + hash=22C5635999C532034A3FBE8CCA3BFBAE + +Set 3, vector#215: + message=512-bit string: 26*00,01,37*00 + hash=0C9193A1124BD00CEBB09A05CA6BAC7D + +Set 3, vector#216: + message=512-bit string: 27*00,80,36*00 + hash=9EE0BA3AFFBC9610FBB0C1F93F98E957 + +Set 3, vector#217: + message=512-bit string: 27*00,40,36*00 + hash=40F6E1BAB20BC825462FA8B84B029E03 + +Set 3, vector#218: + message=512-bit string: 27*00,20,36*00 + hash=479AA5097DB0D27D906967DFE0359B94 + +Set 3, vector#219: + message=512-bit string: 27*00,10,36*00 + hash=4EE4F2F35E36A2729EA0BB07658CEF83 + +Set 3, vector#220: + message=512-bit string: 27*00,08,36*00 + hash=A7D27906D1889C91C565FEB36D3E41E5 + +Set 3, vector#221: + message=512-bit string: 27*00,04,36*00 + hash=488D5CD0C76DEEB44D839F0280F42BD8 + +Set 3, vector#222: + message=512-bit string: 27*00,02,36*00 + hash=3383D0E16168120B3A440D5CB517E65C + +Set 3, vector#223: + message=512-bit string: 27*00,01,36*00 + hash=049F7E9F7A579E9DC8CB2E90370B7DFD + +Set 3, vector#224: + message=512-bit string: 28*00,80,35*00 + hash=F15759B10756BBC1F057174E11FBEA3C + +Set 3, vector#225: + message=512-bit string: 28*00,40,35*00 + hash=9E915844865C745CDDAAE9086D67CB7C + +Set 3, vector#226: + message=512-bit string: 28*00,20,35*00 + hash=3C5A2485AA83037AE41529AE190DF88B + +Set 3, vector#227: + message=512-bit string: 28*00,10,35*00 + hash=871E522A6D16C4A0E000C8809F9EC5F6 + +Set 3, vector#228: + message=512-bit string: 28*00,08,35*00 + hash=968B472E57E76D5D1E63476B38C58816 + +Set 3, vector#229: + message=512-bit string: 28*00,04,35*00 + hash=E662F9A0CE1298E18FE149BEE0504AB0 + +Set 3, vector#230: + message=512-bit string: 28*00,02,35*00 + hash=30C3AE4FBC27B9ECD88BBC21D8B3F55D + +Set 3, vector#231: + message=512-bit string: 28*00,01,35*00 + hash=B4DC26D3BFED9ED9BBE0DBAF21DD95FF + +Set 3, vector#232: + message=512-bit string: 29*00,80,34*00 + hash=F0EDA2E5CB682C4C82A6DED6E1A9E4E2 + +Set 3, vector#233: + message=512-bit string: 29*00,40,34*00 + hash=AE6E5FE9CD9B0B8FBBA08D86A73C1FC9 + +Set 3, vector#234: + message=512-bit string: 29*00,20,34*00 + hash=B0AF28AB9D0FC7EEE36A757E9A1ED66B + +Set 3, vector#235: + message=512-bit string: 29*00,10,34*00 + hash=70F0627C98DF0A4282D20B07A6A05BA1 + +Set 3, vector#236: + message=512-bit string: 29*00,08,34*00 + hash=7CE886342A970ED79132994AA682BEBC + +Set 3, vector#237: + message=512-bit string: 29*00,04,34*00 + hash=25313BE41F42B3D30E1CD065D73ACDD7 + +Set 3, vector#238: + message=512-bit string: 29*00,02,34*00 + hash=A90FA5EBF49DD9F4E77716C3C1E9765D + +Set 3, vector#239: + message=512-bit string: 29*00,01,34*00 + hash=1F9DD8FC6AC8EFBC2D378D6AB44AAFE7 + +Set 3, vector#240: + message=512-bit string: 30*00,80,33*00 + hash=4B0858EEB2639659EACA7B7B7C3349A5 + +Set 3, vector#241: + message=512-bit string: 30*00,40,33*00 + hash=5E8280869101EF49835627FDFB13E5D3 + +Set 3, vector#242: + message=512-bit string: 30*00,20,33*00 + hash=0B495C962E6799B67D93F1B5B590C844 + +Set 3, vector#243: + message=512-bit string: 30*00,10,33*00 + hash=4DC7D22B8F29BEB964B2965191A11463 + +Set 3, vector#244: + message=512-bit string: 30*00,08,33*00 + hash=60768F63CFA2E88A75367561DF60FA01 + +Set 3, vector#245: + message=512-bit string: 30*00,04,33*00 + hash=009B7E32759B44054975D918DA7424CC + +Set 3, vector#246: + message=512-bit string: 30*00,02,33*00 + hash=DC82A437FF020C9C9BC699ADF214D937 + +Set 3, vector#247: + message=512-bit string: 30*00,01,33*00 + hash=904D158775D4A8666D663AD2FB2E79A1 + +Set 3, vector#248: + message=512-bit string: 31*00,80,32*00 + hash=FC6B5B1628894C202D19C36A29BE2C98 + +Set 3, vector#249: + message=512-bit string: 31*00,40,32*00 + hash=AA186F907E4A59827646EC5DA8CB4B8C + +Set 3, vector#250: + message=512-bit string: 31*00,20,32*00 + hash=C889405D3292C5F4866E2B82EB743FDB + +Set 3, vector#251: + message=512-bit string: 31*00,10,32*00 + hash=2ACD03AC14947052515B8F311F759093 + +Set 3, vector#252: + message=512-bit string: 31*00,08,32*00 + hash=B4CDCE550EF4285C2851EF81B479FDE8 + +Set 3, vector#253: + message=512-bit string: 31*00,04,32*00 + hash=9D1FD01C05A09169E37ED94562BAAAF5 + +Set 3, vector#254: + message=512-bit string: 31*00,02,32*00 + hash=E97333985B140C769EF4CDBF13B5FBA3 + +Set 3, vector#255: + message=512-bit string: 31*00,01,32*00 + hash=29911578E644BDF6257D23B8D4DD0D38 + +Set 3, vector#256: + message=512-bit string: 32*00,80,31*00 + hash=ED9D395824171A7F82A0CB538433A22B + +Set 3, vector#257: + message=512-bit string: 32*00,40,31*00 + hash=101BE3EECE1ED26CE794B90C6C5D0460 + +Set 3, vector#258: + message=512-bit string: 32*00,20,31*00 + hash=89B836293A99ED6E02D5DADE0121AC20 + +Set 3, vector#259: + message=512-bit string: 32*00,10,31*00 + hash=AEBBF1CFCA7CCE6941FA0B93B9E58B7A + +Set 3, vector#260: + message=512-bit string: 32*00,08,31*00 + hash=C4714103FA3E1AC58C9AB450F4567764 + +Set 3, vector#261: + message=512-bit string: 32*00,04,31*00 + hash=499F861EE4EFB2FB38A00B97EFF10010 + +Set 3, vector#262: + message=512-bit string: 32*00,02,31*00 + hash=D95C0AD5BB39C47DB3B0D6EE7F354444 + +Set 3, vector#263: + message=512-bit string: 32*00,01,31*00 + hash=FB0E49A8512A6514C8E52E8F302C1313 + +Set 3, vector#264: + message=512-bit string: 33*00,80,30*00 + hash=92ACEF120453F4AF4AC41BF1970D7356 + +Set 3, vector#265: + message=512-bit string: 33*00,40,30*00 + hash=1F9836EE1AFDB7972819B91ABF856A4E + +Set 3, vector#266: + message=512-bit string: 33*00,20,30*00 + hash=0C3D4612FC048FDAA32E4A94B6F1386F + +Set 3, vector#267: + message=512-bit string: 33*00,10,30*00 + hash=7CE5B968386A1AC3759B4B4BA636D939 + +Set 3, vector#268: + message=512-bit string: 33*00,08,30*00 + hash=4250DA118C52D1BCD8C76D657535EC5E + +Set 3, vector#269: + message=512-bit string: 33*00,04,30*00 + hash=07A7BDC93E71936D4358FF104F5C6F2B + +Set 3, vector#270: + message=512-bit string: 33*00,02,30*00 + hash=39069C6B6051F6F0D270A0E04E91369E + +Set 3, vector#271: + message=512-bit string: 33*00,01,30*00 + hash=882EE17FB046D8A07610C313AC5915DF + +Set 3, vector#272: + message=512-bit string: 34*00,80,29*00 + hash=BEBF589B9A2561EDA0E6A08221882759 + +Set 3, vector#273: + message=512-bit string: 34*00,40,29*00 + hash=96C91B562423BCD0727E0A0731D797AC + +Set 3, vector#274: + message=512-bit string: 34*00,20,29*00 + hash=421B5C3068FC2555A4DF70B3817B8780 + +Set 3, vector#275: + message=512-bit string: 34*00,10,29*00 + hash=43D4E2EA49CD56875A788AE9E892D9C5 + +Set 3, vector#276: + message=512-bit string: 34*00,08,29*00 + hash=67FDD0B32AC1C39FC3331B3CAF957E2E + +Set 3, vector#277: + message=512-bit string: 34*00,04,29*00 + hash=3B1290877EE8C9D6C0785D7D08B13578 + +Set 3, vector#278: + message=512-bit string: 34*00,02,29*00 + hash=239986662C2E2FDD2DA5C8EBD9AC78B4 + +Set 3, vector#279: + message=512-bit string: 34*00,01,29*00 + hash=1FDF66EA7A8791B4DBD42B3D97624788 + +Set 3, vector#280: + message=512-bit string: 35*00,80,28*00 + hash=6831072E80D199D3C4A348AE6DD143D0 + +Set 3, vector#281: + message=512-bit string: 35*00,40,28*00 + hash=9470D664B893EFF4D79B36ED46D9493F + +Set 3, vector#282: + message=512-bit string: 35*00,20,28*00 + hash=4B635B3106408769F8F1CD71EF4AF402 + +Set 3, vector#283: + message=512-bit string: 35*00,10,28*00 + hash=FC7ABB2218193926602C5BE159EF2157 + +Set 3, vector#284: + message=512-bit string: 35*00,08,28*00 + hash=8F6D97EC60BBF7BE9F9E2DE37B495D9D + +Set 3, vector#285: + message=512-bit string: 35*00,04,28*00 + hash=A921143B8BCA6CAC4B44D946E5948537 + +Set 3, vector#286: + message=512-bit string: 35*00,02,28*00 + hash=DD2EB5678E96DE9148B8851680016F63 + +Set 3, vector#287: + message=512-bit string: 35*00,01,28*00 + hash=04F0A7E368A6FEF21524BEB4DC5310C2 + +Set 3, vector#288: + message=512-bit string: 36*00,80,27*00 + hash=07BED9042B3422E6158DA127D4C2BD60 + +Set 3, vector#289: + message=512-bit string: 36*00,40,27*00 + hash=D47C8F862F2A5DA9FAA888FDA124808B + +Set 3, vector#290: + message=512-bit string: 36*00,20,27*00 + hash=C2C749BF832F924E379EAC89959694C3 + +Set 3, vector#291: + message=512-bit string: 36*00,10,27*00 + hash=4096823ABA928A856D6724FD91C57D3D + +Set 3, vector#292: + message=512-bit string: 36*00,08,27*00 + hash=B731BBD56CFC1E3EFB11F717E494EA82 + +Set 3, vector#293: + message=512-bit string: 36*00,04,27*00 + hash=A4F83A8ACD7A56B5200834DFF5ABA455 + +Set 3, vector#294: + message=512-bit string: 36*00,02,27*00 + hash=1ECA937A011FD3C181A455D5DCDDAC73 + +Set 3, vector#295: + message=512-bit string: 36*00,01,27*00 + hash=F481C363C8AB7EF5AC2DD6B4389BF62F + +Set 3, vector#296: + message=512-bit string: 37*00,80,26*00 + hash=5E6906AD1D5495F44366D61FDD593689 + +Set 3, vector#297: + message=512-bit string: 37*00,40,26*00 + hash=033F089D5B15DF34AEE9862A2998B190 + +Set 3, vector#298: + message=512-bit string: 37*00,20,26*00 + hash=C5B96A88C4D30AC218A00FE8C8A5FE0E + +Set 3, vector#299: + message=512-bit string: 37*00,10,26*00 + hash=ECA700AA944E6014C5336A0A797E9EA5 + +Set 3, vector#300: + message=512-bit string: 37*00,08,26*00 + hash=9822EA7178B96DC5156EF33477D9FFF6 + +Set 3, vector#301: + message=512-bit string: 37*00,04,26*00 + hash=5EEEB310879425F489A2910A1E5BF85B + +Set 3, vector#302: + message=512-bit string: 37*00,02,26*00 + hash=09C86FFA6114D9356DDD340B829B8315 + +Set 3, vector#303: + message=512-bit string: 37*00,01,26*00 + hash=9A7120E4C17EBCE75121C55F56EA7122 + +Set 3, vector#304: + message=512-bit string: 38*00,80,25*00 + hash=B3632C95BCAB4E24EE5333AA2F28941B + +Set 3, vector#305: + message=512-bit string: 38*00,40,25*00 + hash=3C5C4A9AD5BA676E0F916621C4D09398 + +Set 3, vector#306: + message=512-bit string: 38*00,20,25*00 + hash=723FD90024007F7103E98DA58890DE41 + +Set 3, vector#307: + message=512-bit string: 38*00,10,25*00 + hash=8C83B58202FE44078263C22E3329B2A6 + +Set 3, vector#308: + message=512-bit string: 38*00,08,25*00 + hash=4E8FD8E2758CD544E6682B987AE13820 + +Set 3, vector#309: + message=512-bit string: 38*00,04,25*00 + hash=4B5A95DBC9911A08B27D33F5B606BC1C + +Set 3, vector#310: + message=512-bit string: 38*00,02,25*00 + hash=B8CE619A1D6B9956E0B54DB4B295994C + +Set 3, vector#311: + message=512-bit string: 38*00,01,25*00 + hash=4A5F3B1A66788529448A43F3E12AF39D + +Set 3, vector#312: + message=512-bit string: 39*00,80,24*00 + hash=DFEBB879EC199A81A4D3B4A8B435DD4C + +Set 3, vector#313: + message=512-bit string: 39*00,40,24*00 + hash=06F8D0A5735612DD5967037B7CDAC850 + +Set 3, vector#314: + message=512-bit string: 39*00,20,24*00 + hash=E57BCB5946E8F7058DB6528F61C430FA + +Set 3, vector#315: + message=512-bit string: 39*00,10,24*00 + hash=D99EBFDA2BB73EED3665216E8C2A1CF1 + +Set 3, vector#316: + message=512-bit string: 39*00,08,24*00 + hash=61C9AA0D28C04D6DD753EC855214149E + +Set 3, vector#317: + message=512-bit string: 39*00,04,24*00 + hash=3A6070C3732E697E7FC826E8EEB5094C + +Set 3, vector#318: + message=512-bit string: 39*00,02,24*00 + hash=063DEEAE397AE2C6F3A6AE4B98AB2C7A + +Set 3, vector#319: + message=512-bit string: 39*00,01,24*00 + hash=9D15B95AEB06B324A0134A1F9976DCB4 + +Set 3, vector#320: + message=512-bit string: 40*00,80,23*00 + hash=434B09EA2CCB9C84EE9D5E53224A1AEF + +Set 3, vector#321: + message=512-bit string: 40*00,40,23*00 + hash=EC30D78EC1CE0EF63367AAEB083161BB + +Set 3, vector#322: + message=512-bit string: 40*00,20,23*00 + hash=CAA711A199F4A91B0B04DD7D7226ADE7 + +Set 3, vector#323: + message=512-bit string: 40*00,10,23*00 + hash=4A7A550DEDFF320DDA0A5538EC0CAA5B + +Set 3, vector#324: + message=512-bit string: 40*00,08,23*00 + hash=EF5BF0E556BB02C413E3E721EE46CE8E + +Set 3, vector#325: + message=512-bit string: 40*00,04,23*00 + hash=AE78A69932F7567419555CB281CC43FB + +Set 3, vector#326: + message=512-bit string: 40*00,02,23*00 + hash=D4974DF3B1C5C570F9EDBBC36B4E0EFA + +Set 3, vector#327: + message=512-bit string: 40*00,01,23*00 + hash=66F4FC209A7DC510FD540DB13FA5A9D0 + +Set 3, vector#328: + message=512-bit string: 41*00,80,22*00 + hash=D8B0C69B1460D390394B18A8291CCAE6 + +Set 3, vector#329: + message=512-bit string: 41*00,40,22*00 + hash=842F8BAE44E33E459870B947FBA846A4 + +Set 3, vector#330: + message=512-bit string: 41*00,20,22*00 + hash=19EE32DC24E80C8E41A1DE95B555C3DB + +Set 3, vector#331: + message=512-bit string: 41*00,10,22*00 + hash=5EC5971D4C35A16E4DF4957454C9AC67 + +Set 3, vector#332: + message=512-bit string: 41*00,08,22*00 + hash=28712A9C1B541BF38BDD3579D050D5CB + +Set 3, vector#333: + message=512-bit string: 41*00,04,22*00 + hash=6A6B51E428A95BEEA6F4D4597296E03D + +Set 3, vector#334: + message=512-bit string: 41*00,02,22*00 + hash=14D77332F92E1C1BA396812696946307 + +Set 3, vector#335: + message=512-bit string: 41*00,01,22*00 + hash=3494210E35210F36EF5863E9654FE203 + +Set 3, vector#336: + message=512-bit string: 42*00,80,21*00 + hash=2153AFCA13686918AD74D84B91B3FD7E + +Set 3, vector#337: + message=512-bit string: 42*00,40,21*00 + hash=E8C2D6FDA486A004774D642971D299DE + +Set 3, vector#338: + message=512-bit string: 42*00,20,21*00 + hash=D8BFD743BAC554D9FAEE587568C779C9 + +Set 3, vector#339: + message=512-bit string: 42*00,10,21*00 + hash=3C6D50F6E8B2DF1F0170DD1F5078005B + +Set 3, vector#340: + message=512-bit string: 42*00,08,21*00 + hash=904751732AD4A6DD1633F6F32FE15B6C + +Set 3, vector#341: + message=512-bit string: 42*00,04,21*00 + hash=6F6458AC973D5227EA1FA11BDDCF5C28 + +Set 3, vector#342: + message=512-bit string: 42*00,02,21*00 + hash=3512A0D0699AB677C0E8D18AA60669F5 + +Set 3, vector#343: + message=512-bit string: 42*00,01,21*00 + hash=D20E8CE906D28EB16A79AA50133D0390 + +Set 3, vector#344: + message=512-bit string: 43*00,80,20*00 + hash=FA25C49644FE02B2DCC09B21DC80CC8C + +Set 3, vector#345: + message=512-bit string: 43*00,40,20*00 + hash=BEF7CB2C5BB419A274DB5F752B58789B + +Set 3, vector#346: + message=512-bit string: 43*00,20,20*00 + hash=4E5B96D2A37D53FAD56E1011F83A9B95 + +Set 3, vector#347: + message=512-bit string: 43*00,10,20*00 + hash=F896E7E529BA2C51F35FA96713A90A54 + +Set 3, vector#348: + message=512-bit string: 43*00,08,20*00 + hash=08A7042023558FEFE2EED405784152BC + +Set 3, vector#349: + message=512-bit string: 43*00,04,20*00 + hash=793B08BDBF6FE53A4DABF59D0F3065E9 + +Set 3, vector#350: + message=512-bit string: 43*00,02,20*00 + hash=AA147CCCFE9C4D8DB5B53CB30DD9E06F + +Set 3, vector#351: + message=512-bit string: 43*00,01,20*00 + hash=5D59349615747260835F2453EEE6BC5B + +Set 3, vector#352: + message=512-bit string: 44*00,80,19*00 + hash=CC729FB233027898E5C518AF9B545EB0 + +Set 3, vector#353: + message=512-bit string: 44*00,40,19*00 + hash=8B6E6D2982109FF64A86951CF1DB22E6 + +Set 3, vector#354: + message=512-bit string: 44*00,20,19*00 + hash=2C979E5B5505F99C0285462C6E9A2585 + +Set 3, vector#355: + message=512-bit string: 44*00,10,19*00 + hash=5E921F1CDB50574A1D42A318F72F4E06 + +Set 3, vector#356: + message=512-bit string: 44*00,08,19*00 + hash=91C95A8DCA2CA8989CE17EC38A6388A7 + +Set 3, vector#357: + message=512-bit string: 44*00,04,19*00 + hash=684120A9CFAB2CD256FA26077E98D848 + +Set 3, vector#358: + message=512-bit string: 44*00,02,19*00 + hash=FBB5156D83A78CB68DC5DF712C253D1A + +Set 3, vector#359: + message=512-bit string: 44*00,01,19*00 + hash=3CB2BDC773A346D47EE802D67D547693 + +Set 3, vector#360: + message=512-bit string: 45*00,80,18*00 + hash=DBF8F334AB91DED574DD285F8C000FF4 + +Set 3, vector#361: + message=512-bit string: 45*00,40,18*00 + hash=0B46FA6EE628F27B47F0A4A2596EADEC + +Set 3, vector#362: + message=512-bit string: 45*00,20,18*00 + hash=EBDFAF3A03CB6F6B132DC4978D68995C + +Set 3, vector#363: + message=512-bit string: 45*00,10,18*00 + hash=1B8832D27893A6F8B971EF9145CAED46 + +Set 3, vector#364: + message=512-bit string: 45*00,08,18*00 + hash=C7424DA41E411A7DBD0EBD1182DE61A3 + +Set 3, vector#365: + message=512-bit string: 45*00,04,18*00 + hash=4E66E56FD2AD4E534C43A9976DB2C75E + +Set 3, vector#366: + message=512-bit string: 45*00,02,18*00 + hash=760C2D53D55FBD65E7DAED31E4F463CF + +Set 3, vector#367: + message=512-bit string: 45*00,01,18*00 + hash=D517E380A8C618BBA8169A905224AD4A + +Set 3, vector#368: + message=512-bit string: 46*00,80,17*00 + hash=3031C0316DE64B89C3E0780FE5C2ECE6 + +Set 3, vector#369: + message=512-bit string: 46*00,40,17*00 + hash=E11DDBFE49C7D15D4605FE051F7DC13C + +Set 3, vector#370: + message=512-bit string: 46*00,20,17*00 + hash=6AAED62F00954A26BF916E0C245ACF42 + +Set 3, vector#371: + message=512-bit string: 46*00,10,17*00 + hash=FF448413805677217C354881E17FD9E5 + +Set 3, vector#372: + message=512-bit string: 46*00,08,17*00 + hash=908FD38B278D2DF6E24A13DD924C484D + +Set 3, vector#373: + message=512-bit string: 46*00,04,17*00 + hash=152F4843E348EFE4E73E74E0CF4B8219 + +Set 3, vector#374: + message=512-bit string: 46*00,02,17*00 + hash=E21E3D6E39C1F98BFE666A2C69520211 + +Set 3, vector#375: + message=512-bit string: 46*00,01,17*00 + hash=E07EA5D16AEB8431BFB016EE7BD0C5CC + +Set 3, vector#376: + message=512-bit string: 47*00,80,16*00 + hash=AFF6A755F2ABD47A06165D5C28E125BB + +Set 3, vector#377: + message=512-bit string: 47*00,40,16*00 + hash=DCE5532469BDD235444DF3608D98EBF0 + +Set 3, vector#378: + message=512-bit string: 47*00,20,16*00 + hash=DA4808CEDCF6FD31715854CF73CC3383 + +Set 3, vector#379: + message=512-bit string: 47*00,10,16*00 + hash=22D2C86CA8BE7782C2239D51CC285A52 + +Set 3, vector#380: + message=512-bit string: 47*00,08,16*00 + hash=6DE111AC57EEC38FF4F5B8B458F35C20 + +Set 3, vector#381: + message=512-bit string: 47*00,04,16*00 + hash=0169943B9748514AB5D0083D5174F7F0 + +Set 3, vector#382: + message=512-bit string: 47*00,02,16*00 + hash=C1EB9BCEEC97EBD8E6589C2CE337033F + +Set 3, vector#383: + message=512-bit string: 47*00,01,16*00 + hash=ECB3F11368167148C7D35CAD06FF0C6C + +Set 3, vector#384: + message=512-bit string: 48*00,80,15*00 + hash=9A42CB788CDEE1C20EEC7B16F294E184 + +Set 3, vector#385: + message=512-bit string: 48*00,40,15*00 + hash=2CCF587C931D62CAC815676A6A6457B3 + +Set 3, vector#386: + message=512-bit string: 48*00,20,15*00 + hash=F6F2004BC97D03608CABB0BD44E998A1 + +Set 3, vector#387: + message=512-bit string: 48*00,10,15*00 + hash=7C80829659877A03938CC796BA738DEF + +Set 3, vector#388: + message=512-bit string: 48*00,08,15*00 + hash=4CA3F42094A36B4FE4DC893BFB813310 + +Set 3, vector#389: + message=512-bit string: 48*00,04,15*00 + hash=474513BB6D0C0F73A63DFE920210216E + +Set 3, vector#390: + message=512-bit string: 48*00,02,15*00 + hash=431BE2611DFFD6DE4EAB6936E0E497DA + +Set 3, vector#391: + message=512-bit string: 48*00,01,15*00 + hash=813B32050FEDCDB719F95A646E888560 + +Set 3, vector#392: + message=512-bit string: 49*00,80,14*00 + hash=49384B8B60C1A065346A995BB31CEA47 + +Set 3, vector#393: + message=512-bit string: 49*00,40,14*00 + hash=B97D733DE2C048FF0C01891114D0AFB5 + +Set 3, vector#394: + message=512-bit string: 49*00,20,14*00 + hash=8B8346E0F1D63A73CE1CCAD90D2CF097 + +Set 3, vector#395: + message=512-bit string: 49*00,10,14*00 + hash=137398F39EF97AE7B6B682F8253CE123 + +Set 3, vector#396: + message=512-bit string: 49*00,08,14*00 + hash=6E244EC4300F40A8DCBE38A446DE9006 + +Set 3, vector#397: + message=512-bit string: 49*00,04,14*00 + hash=0286C3F8D66DAB8FF8CD925A1B9D7140 + +Set 3, vector#398: + message=512-bit string: 49*00,02,14*00 + hash=788CC909AD9F81FEF4749B8B58C92473 + +Set 3, vector#399: + message=512-bit string: 49*00,01,14*00 + hash=A05C4E77731A523F396EADA342D6E66A + +Set 3, vector#400: + message=512-bit string: 50*00,80,13*00 + hash=5C5208058E887AEFA1A32E8988A37455 + +Set 3, vector#401: + message=512-bit string: 50*00,40,13*00 + hash=7567725FF801A30914E07CFFE1A6C49A + +Set 3, vector#402: + message=512-bit string: 50*00,20,13*00 + hash=346DE7910432F66E09BAC32E34EB1B58 + +Set 3, vector#403: + message=512-bit string: 50*00,10,13*00 + hash=145C587A9887EFE3D3E0E758B7589D39 + +Set 3, vector#404: + message=512-bit string: 50*00,08,13*00 + hash=E0CFD61D4F4604C26E299A7F1FF60A9B + +Set 3, vector#405: + message=512-bit string: 50*00,04,13*00 + hash=031525ABB3AA04A8F9FF4EEA20955BF2 + +Set 3, vector#406: + message=512-bit string: 50*00,02,13*00 + hash=8FC8AFDFFBA17F5F6FECAAB9B52DF2A6 + +Set 3, vector#407: + message=512-bit string: 50*00,01,13*00 + hash=1959366FB1C73BE165B12D3A972BBBF7 + +Set 3, vector#408: + message=512-bit string: 51*00,80,12*00 + hash=822496D965F7D85215D7752AFF1C03CC + +Set 3, vector#409: + message=512-bit string: 51*00,40,12*00 + hash=C2E0DE6429654FB9590324DCF1D92D8F + +Set 3, vector#410: + message=512-bit string: 51*00,20,12*00 + hash=4D360BBE43BE367A2A7EE6BFF0ECDC65 + +Set 3, vector#411: + message=512-bit string: 51*00,10,12*00 + hash=83351D012FEF8C39D6C8ED2764365222 + +Set 3, vector#412: + message=512-bit string: 51*00,08,12*00 + hash=68B502C668B792ED079866770B10C965 + +Set 3, vector#413: + message=512-bit string: 51*00,04,12*00 + hash=9160B774CBD240B9971CC01C694254EA + +Set 3, vector#414: + message=512-bit string: 51*00,02,12*00 + hash=772D02B47D9A881ED8793AEA6DB156A2 + +Set 3, vector#415: + message=512-bit string: 51*00,01,12*00 + hash=453952F734884B80C5843A05693F9BB5 + +Set 3, vector#416: + message=512-bit string: 52*00,80,11*00 + hash=F5816D1064596ABFF2E783455467626B + +Set 3, vector#417: + message=512-bit string: 52*00,40,11*00 + hash=AB5FE94D6F3942B597087F55689F88E3 + +Set 3, vector#418: + message=512-bit string: 52*00,20,11*00 + hash=53CAAF5CBC27128942AB99FC82F93D16 + +Set 3, vector#419: + message=512-bit string: 52*00,10,11*00 + hash=4ECC87CE3E1663123FC0073032A46698 + +Set 3, vector#420: + message=512-bit string: 52*00,08,11*00 + hash=AEDD921FC1C61F882874AD4C852326E7 + +Set 3, vector#421: + message=512-bit string: 52*00,04,11*00 + hash=13B9902301C02A268AD8BF10B8F9E3A1 + +Set 3, vector#422: + message=512-bit string: 52*00,02,11*00 + hash=A223438271EB74888A765160D6522886 + +Set 3, vector#423: + message=512-bit string: 52*00,01,11*00 + hash=0ADAFB3AB3E613570405A34CD6F45F66 + +Set 3, vector#424: + message=512-bit string: 53*00,80,10*00 + hash=EAE6F63E52CD7468B6D0ECC4B071237C + +Set 3, vector#425: + message=512-bit string: 53*00,40,10*00 + hash=18D3E8B9062752CAEBE9D883134AAABC + +Set 3, vector#426: + message=512-bit string: 53*00,20,10*00 + hash=6EDF355D7837ABDFA212D2CD5BCB87D6 + +Set 3, vector#427: + message=512-bit string: 53*00,10,10*00 + hash=0A3ECD269F355AB60EEFBE4091F18AD5 + +Set 3, vector#428: + message=512-bit string: 53*00,08,10*00 + hash=6E7B760A6835B012538A335E380780E3 + +Set 3, vector#429: + message=512-bit string: 53*00,04,10*00 + hash=C662C5004355636CA82CD719F9D1C73E + +Set 3, vector#430: + message=512-bit string: 53*00,02,10*00 + hash=F5AE69B217C1CF7244A23B131EDD92EA + +Set 3, vector#431: + message=512-bit string: 53*00,01,10*00 + hash=C1932E05A9013D9F99F4D3E5276A119C + +Set 3, vector#432: + message=512-bit string: 54*00,80, 9*00 + hash=A6B846C6737042EA576BE18DE7E02269 + +Set 3, vector#433: + message=512-bit string: 54*00,40, 9*00 + hash=F4152ECC66945DA718F7D9D555187B6C + +Set 3, vector#434: + message=512-bit string: 54*00,20, 9*00 + hash=501779DF50469939215CCCE08A3A94D6 + +Set 3, vector#435: + message=512-bit string: 54*00,10, 9*00 + hash=C1ABB35E11F4BC38294874287BEE9AAF + +Set 3, vector#436: + message=512-bit string: 54*00,08, 9*00 + hash=9C91D1E0FA615B35AE1BECB2246E6455 + +Set 3, vector#437: + message=512-bit string: 54*00,04, 9*00 + hash=0C0736C7063B09A489911E501C0150E3 + +Set 3, vector#438: + message=512-bit string: 54*00,02, 9*00 + hash=B38E7B51485EDD91FD7E9F4378E38816 + +Set 3, vector#439: + message=512-bit string: 54*00,01, 9*00 + hash=595EB1247564E5E2F0CD600972D5BDD1 + +Set 3, vector#440: + message=512-bit string: 55*00,80, 8*00 + hash=1903BA1EC1F52753FBB268F9F3CCD6B1 + +Set 3, vector#441: + message=512-bit string: 55*00,40, 8*00 + hash=AAD887A7C026424568B7ABD0811EB531 + +Set 3, vector#442: + message=512-bit string: 55*00,20, 8*00 + hash=A7045885FB7FCD4A53CB0F22C6CDB5AD + +Set 3, vector#443: + message=512-bit string: 55*00,10, 8*00 + hash=CD5B21D3AA49BABBC11B111BBDF76EC9 + +Set 3, vector#444: + message=512-bit string: 55*00,08, 8*00 + hash=4643EF5500FDED7B08B5D69C62D5582D + +Set 3, vector#445: + message=512-bit string: 55*00,04, 8*00 + hash=4B90DA4B10A0B514998EF664C3BAFF69 + +Set 3, vector#446: + message=512-bit string: 55*00,02, 8*00 + hash=3F93EDCBC0F9DAA89D2034C562F1BDFA + +Set 3, vector#447: + message=512-bit string: 55*00,01, 8*00 + hash=6E4C987BE3A6B24B3E38F1CAFE963C1E + +Set 3, vector#448: + message=512-bit string: 56*00,80, 7*00 + hash=F025E2F601BBD45F231B7DCC4056B365 + +Set 3, vector#449: + message=512-bit string: 56*00,40, 7*00 + hash=C6C66B75C45E8E06811AF898D995AE1C + +Set 3, vector#450: + message=512-bit string: 56*00,20, 7*00 + hash=78A2026C6B2693223B902BE948136BB8 + +Set 3, vector#451: + message=512-bit string: 56*00,10, 7*00 + hash=E2BBAC6D03DDAF61E40CE15DBFBE90C3 + +Set 3, vector#452: + message=512-bit string: 56*00,08, 7*00 + hash=CDB03F27AEDB30F7E596343BECB734BD + +Set 3, vector#453: + message=512-bit string: 56*00,04, 7*00 + hash=93E750C651C7948DA2A60699DF6DEDCA + +Set 3, vector#454: + message=512-bit string: 56*00,02, 7*00 + hash=DEAF528DF04ACF72DE18B3217053D427 + +Set 3, vector#455: + message=512-bit string: 56*00,01, 7*00 + hash=46A254BF46ED3199BB635ECCDAF15885 + +Set 3, vector#456: + message=512-bit string: 57*00,80, 6*00 + hash=0FF7741D480328D0686A2DEC4B41B4AE + +Set 3, vector#457: + message=512-bit string: 57*00,40, 6*00 + hash=E146B00D2369DC2DDDA083A8BB1A7DEE + +Set 3, vector#458: + message=512-bit string: 57*00,20, 6*00 + hash=C87C5FF808384504E42BFD1BE5A712B1 + +Set 3, vector#459: + message=512-bit string: 57*00,10, 6*00 + hash=8275B17CEABDFEF760222DA01A35715D + +Set 3, vector#460: + message=512-bit string: 57*00,08, 6*00 + hash=D3DD3D6F53B45B797778E7FEF28A8C5B + +Set 3, vector#461: + message=512-bit string: 57*00,04, 6*00 + hash=E5F72DF56B978D8DB7E7EED04AF709B4 + +Set 3, vector#462: + message=512-bit string: 57*00,02, 6*00 + hash=0F5730004ACE61A069514071F184A1B6 + +Set 3, vector#463: + message=512-bit string: 57*00,01, 6*00 + hash=5B70D9641D978CE2E2CFFD7FB77710A9 + +Set 3, vector#464: + message=512-bit string: 58*00,80, 5*00 + hash=7EDDEF710BA2068E8598EE4D4359114D + +Set 3, vector#465: + message=512-bit string: 58*00,40, 5*00 + hash=B89DFF15C70666B1F41D53C3EEFDF88B + +Set 3, vector#466: + message=512-bit string: 58*00,20, 5*00 + hash=3762BACD52DC2AD602CFEFDBCCB86699 + +Set 3, vector#467: + message=512-bit string: 58*00,10, 5*00 + hash=EC0B054B6DF1C6622ACB55F025092521 + +Set 3, vector#468: + message=512-bit string: 58*00,08, 5*00 + hash=38C8CC15D9C50B404EB18E07F5C020DC + +Set 3, vector#469: + message=512-bit string: 58*00,04, 5*00 + hash=B841829E581AA28D25B61890711D99C5 + +Set 3, vector#470: + message=512-bit string: 58*00,02, 5*00 + hash=D91E2A0CFD68A772D39A15DCB0061E72 + +Set 3, vector#471: + message=512-bit string: 58*00,01, 5*00 + hash=46D2ED6F3043A6201A7A9853320D70BA + +Set 3, vector#472: + message=512-bit string: 59*00,80, 4*00 + hash=0E380317C0B7A38666CA700C54A86A7D + +Set 3, vector#473: + message=512-bit string: 59*00,40, 4*00 + hash=6459F489263B4AA47205258F8844B57B + +Set 3, vector#474: + message=512-bit string: 59*00,20, 4*00 + hash=67CF6FBF0D86024C9B54B140350298C2 + +Set 3, vector#475: + message=512-bit string: 59*00,10, 4*00 + hash=67D1FEFA06650699BBA2498D77422E48 + +Set 3, vector#476: + message=512-bit string: 59*00,08, 4*00 + hash=7EF6EEF95A7F051CFF31EB3F8906D7BD + +Set 3, vector#477: + message=512-bit string: 59*00,04, 4*00 + hash=8EF040642F6A536C63556B8708BC17E5 + +Set 3, vector#478: + message=512-bit string: 59*00,02, 4*00 + hash=DB7648736FFA74596EB5C3B3918AEBA3 + +Set 3, vector#479: + message=512-bit string: 59*00,01, 4*00 + hash=01C0DCC29632E632E2D65D22C8D5A397 + +Set 3, vector#480: + message=512-bit string: 60*00,80, 3*00 + hash=505A6E9E779E4AC35767F624C815F2E2 + +Set 3, vector#481: + message=512-bit string: 60*00,40, 3*00 + hash=E5404AD29B710C5189669E150A710D29 + +Set 3, vector#482: + message=512-bit string: 60*00,20, 3*00 + hash=40BEE92CF590D130F7CD8DF31223B105 + +Set 3, vector#483: + message=512-bit string: 60*00,10, 3*00 + hash=A213CD218594A7F3EB14B627E1FC5B76 + +Set 3, vector#484: + message=512-bit string: 60*00,08, 3*00 + hash=F2ECA81F5EE194D356210A5E83657BCC + +Set 3, vector#485: + message=512-bit string: 60*00,04, 3*00 + hash=BE42CF5328636668130F9000FD6B601C + +Set 3, vector#486: + message=512-bit string: 60*00,02, 3*00 + hash=7D8CB103E55798EBC816DBB9D49B1B0F + +Set 3, vector#487: + message=512-bit string: 60*00,01, 3*00 + hash=7996972214DBEA50ED400B5250E3AE6F + +Set 3, vector#488: + message=512-bit string: 61*00,80, 2*00 + hash=47CAF317CF83F0D4B52015079A22067C + +Set 3, vector#489: + message=512-bit string: 61*00,40, 2*00 + hash=2C8B88503B88BBF4E03F9112EADCAA1E + +Set 3, vector#490: + message=512-bit string: 61*00,20, 2*00 + hash=27D5C2DBD350B6D18849CC5DFD690630 + +Set 3, vector#491: + message=512-bit string: 61*00,10, 2*00 + hash=F2F36909DBA92546CCC4536C529E1244 + +Set 3, vector#492: + message=512-bit string: 61*00,08, 2*00 + hash=A8F24846E4BEB0662FB1DB3448B9B80E + +Set 3, vector#493: + message=512-bit string: 61*00,04, 2*00 + hash=15E190036F667CE0AE80DB61834DB56F + +Set 3, vector#494: + message=512-bit string: 61*00,02, 2*00 + hash=EBC2C68270E129D7766887108739BAC9 + +Set 3, vector#495: + message=512-bit string: 61*00,01, 2*00 + hash=B6A4C6F85D391A98D0513E074B5313C5 + +Set 3, vector#496: + message=512-bit string: 62*00,80, 1*00 + hash=25F86F015DF2C1DB33B53BDAC1F7C37E + +Set 3, vector#497: + message=512-bit string: 62*00,40, 1*00 + hash=26154B8662C7AB915CFD5D3AEACA736A + +Set 3, vector#498: + message=512-bit string: 62*00,20, 1*00 + hash=1EFCFE1F115FE9DF8D60F1B985FEBE3A + +Set 3, vector#499: + message=512-bit string: 62*00,10, 1*00 + hash=37DC0F6EDD8AC35C5A556081B41097DD + +Set 3, vector#500: + message=512-bit string: 62*00,08, 1*00 + hash=E4B76A9A8F6BCA334439CB82892C2925 + +Set 3, vector#501: + message=512-bit string: 62*00,04, 1*00 + hash=934867C0BBFCB06C5BBA8A324EBF9EA4 + +Set 3, vector#502: + message=512-bit string: 62*00,02, 1*00 + hash=56859B2F54F496E8BB0A09231975842E + +Set 3, vector#503: + message=512-bit string: 62*00,01, 1*00 + hash=7D7B4FB873242930EF536C6E80879BA1 + +Set 3, vector#504: + message=512-bit string: 63*00,80, 0*00 + hash=CC10DAD64C6DECDA5FBDD62A11BBE586 + +Set 3, vector#505: + message=512-bit string: 63*00,40, 0*00 + hash=83F78A4FAA4E4ED312DC33C6B2514700 + +Set 3, vector#506: + message=512-bit string: 63*00,20, 0*00 + hash=DDA2969799CEC4F270FCB69209474EC7 + +Set 3, vector#507: + message=512-bit string: 63*00,10, 0*00 + hash=8197D643B6A206825B566BFEC1461987 + +Set 3, vector#508: + message=512-bit string: 63*00,08, 0*00 + hash=638A19A3375D1CD4A6D597D0ED0FB2A3 + +Set 3, vector#509: + message=512-bit string: 63*00,04, 0*00 + hash=62881F317DE9E38108F29307239EC178 + +Set 3, vector#510: + message=512-bit string: 63*00,02, 0*00 + hash=441C9490934F4E743EF246C24576AF8E + +Set 3, vector#511: + message=512-bit string: 63*00,01, 0*00 + hash=0B0BA2C1FE0416434ABD826DB682FAD5 + + +Test vectors -- set 4 +===================== + +Set 4, vector# 0: + message=128 zero bits + hash=4AE71336E44BF9BF79D2752E234818A5 + iterated 100000 times=1A83F51285E4D89403D00C46EF8508FE + + + +End of test vectors diff --git a/testvectors/rsa-pkcs-1v2-1-vec/pkcs1v15sign-vectors.txt b/testvectors/rsa-pkcs-1v2-1-vec/pkcs1v15sign-vectors.txt new file mode 100644 index 0000000..178dd23 --- /dev/null +++ b/testvectors/rsa-pkcs-1v2-1-vec/pkcs1v15sign-vectors.txt @@ -0,0 +1,9049 @@ +Test vectors for RSA PKCS#1 v1.5 Signature +========================================== + +This file contains test vectors for the PKCS#1 v1.5 signature +scheme with appendix. 15 RSA keys of different sizes have +been generated. For each key, 20 random messages of length +between 1 and 256 octets have been PKCS#1 v1.5 signed. +As specified in PKCS#1, the block type for this operation +is 1. The digest algorithm is SHA-1; i.e. the given message +must be hashed and the SHA-1 hash must be encapsulated in a +DigestInfo structure as specified in PKCS#1 v1.5. + +Key lengths: + +Key 1: 1024 bits +Key 2: 1024 bits +Key 3: 1024 bits +Key 4: 1024 bits +Key 5: 1024 bits +Key 6: 1024 bits +Key 7: 1025 bits +Key 8: 1026 bits +Key 9: 1027 bits +Key 10: 1028 bits +Key 11: 1029 bits +Key 12: 1030 bits +Key 13: 1031 bits +Key 14: 1536 bits +Key 15: 2048 bits + +These test vectors have been derived from the PSS test vectors. +============================================================================ +# Thirteen RSA keys with bit sizes between 1024 and 1031, one 1536-bit key, +# and one 2048-bit key are generated. + +# For each key, 20 random messages are PKCS#1 v1.5 signed. + +# Example 1: A 1024-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +a5 6e 4a 0e 70 10 17 58 9a 51 87 dc 7e a8 41 d1 +56 f2 ec 0e 36 ad 52 a4 4d fe b1 e6 1f 7a d9 91 +d8 c5 10 56 ff ed b1 62 b4 c0 f2 83 a1 2a 88 a3 +94 df f5 26 ab 72 91 cb b3 07 ce ab fc e0 b1 df +d5 cd 95 08 09 6d 5b 2b 8b 6d f5 d6 71 ef 63 77 +c0 92 1c b2 3c 27 0a 70 e2 59 8e 6f f8 9d 19 f1 +05 ac c2 d3 f0 cb 35 f2 92 80 e1 38 6b 6f 64 c4 +ef 22 e1 e1 f2 0d 0c e8 cf fb 22 49 bd 9a 21 37 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +a5 6e 4a 0e 70 10 17 58 9a 51 87 dc 7e a8 41 d1 +56 f2 ec 0e 36 ad 52 a4 4d fe b1 e6 1f 7a d9 91 +d8 c5 10 56 ff ed b1 62 b4 c0 f2 83 a1 2a 88 a3 +94 df f5 26 ab 72 91 cb b3 07 ce ab fc e0 b1 df +d5 cd 95 08 09 6d 5b 2b 8b 6d f5 d6 71 ef 63 77 +c0 92 1c b2 3c 27 0a 70 e2 59 8e 6f f8 9d 19 f1 +05 ac c2 d3 f0 cb 35 f2 92 80 e1 38 6b 6f 64 c4 +ef 22 e1 e1 f2 0d 0c e8 cf fb 22 49 bd 9a 21 37 + +# Public exponent: +01 00 01 + +# Exponent: +33 a5 04 2a 90 b2 7d 4f 54 51 ca 9b bb d0 b4 47 +71 a1 01 af 88 43 40 ae f9 88 5f 2a 4b be 92 e8 +94 a7 24 ac 3c 56 8c 8f 97 85 3a d0 7c 02 66 c8 +c6 a3 ca 09 29 f1 e8 f1 12 31 88 44 29 fc 4d 9a +e5 5f ee 89 6a 10 ce 70 7c 3e d7 e7 34 e4 47 27 +a3 95 74 50 1a 53 26 83 10 9c 2a ba ca ba 28 3c +31 b4 bd 2f 53 c3 ee 37 e3 52 ce e3 4f 9e 50 3b +d8 0c 06 22 ad 79 c6 dc ee 88 35 47 c6 a3 b3 25 + +# Prime 1: +e7 e8 94 27 20 a8 77 51 72 73 a3 56 05 3e a2 a1 +bc 0c 94 aa 72 d5 5c 6e 86 29 6b 2d fc 96 79 48 +c0 a7 2c bc cc a7 ea cb 35 70 6e 09 a1 df 55 a1 +53 5b d9 b3 cc 34 16 0b 3b 6d cd 3e da 8e 64 43 + +# Prime 2: +b6 9d ca 1c f7 d4 d7 ec 81 e7 5b 90 fc ca 87 4a +bc de 12 3f d2 70 01 80 aa 90 47 9b 6e 48 de 8d +67 ed 24 f9 f1 9d 85 ba 27 58 74 f5 42 cd 20 dc +72 3e 69 63 36 4a 1f 94 25 45 2b 26 9a 67 99 fd + +# Prime exponent 1: +28 fa 13 93 86 55 be 1f 8a 15 9c ba ca 5a 72 ea +19 0c 30 08 9e 19 cd 27 4a 55 6f 36 c4 f6 e1 9f +55 4b 34 c0 77 79 04 27 bb dd 8d d3 ed e2 44 83 +28 f3 85 d8 1b 30 e8 e4 3b 2f ff a0 27 86 19 79 + +# Prime exponent 2: +1a 8b 38 f3 98 fa 71 20 49 89 8d 7f b7 9e e0 a7 +76 68 79 12 99 cd fa 09 ef c0 e5 07 ac b2 1e d7 +43 01 ef 5b fd 48 be 45 5e ae b6 e1 67 82 55 82 +75 80 a8 e4 e8 e1 41 51 d1 51 0a 82 a3 f2 e7 29 + +# Coefficient: +27 15 6a ba 41 26 d2 4a 81 f3 a5 28 cb fb 27 f5 +68 86 f8 40 a9 f6 e8 6e 17 a4 4b 94 fe 93 19 58 +4b 8e 22 fd de 1e 5a 2e 3b d8 aa 5b a8 d8 58 41 +94 eb 21 90 ac f8 32 b8 47 f1 3a 3d 24 a7 9f 4d + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 1.1 + +# ----------------- + +# Message to be signed: +cd c8 7d a2 23 d7 86 df 3b 45 e0 bb bc 72 13 26 +d1 ee 2a f8 06 cc 31 54 75 cc 6f 0d 9c 66 e1 b6 +23 71 d4 5c e2 39 2e 1a c9 28 44 c3 10 10 2f 15 +6a 0d 8d 52 c1 f4 c4 0b a3 aa 65 09 57 86 cb 76 +97 57 a6 56 3b a9 58 fe d0 bc c9 84 e8 b5 17 a3 +d5 f5 15 b2 3b 8a 41 e7 4a a8 67 69 3f 90 df b0 +61 a6 e8 6d fa ae e6 44 72 c0 0e 5f 20 94 57 29 +cb eb e7 7f 06 ce 78 e0 8f 40 98 fb a4 1f 9d 61 +93 c0 31 7e 8b 60 d4 b6 08 4a cb 42 d2 9e 38 08 +a3 bc 37 2d 85 e3 31 17 0f cb f7 cc 72 d0 b7 1c +29 66 48 b3 a4 d1 0f 41 62 95 d0 80 7a a6 25 ca +b2 74 4f d9 ea 8f d2 23 c4 25 37 02 98 28 bd 16 +be 02 54 6f 13 0f d2 e3 3b 93 6d 26 76 e0 8a ed +1b 73 31 8b 75 0a 01 67 d0 + +# Signature: +6b c3 a0 66 56 84 29 30 a2 47 e3 0d 58 64 b4 d8 +19 23 6b a7 c6 89 65 86 2a d7 db c4 e2 4a f2 8e +86 bb 53 1f 03 35 8b e5 fb 74 77 7c 60 86 f8 50 +ca ef 89 3f 0d 6f cc 2d 0c 91 ec 01 36 93 b4 ea +00 b8 0c d4 9a ac 4e cb 5f 89 11 af e5 39 ad a4 +a8 f3 82 3d 1d 13 e4 72 d1 49 05 47 c6 59 c7 61 +7f 3d 24 08 7d db 6f 2b 72 09 61 67 fc 09 7c ab +18 e9 a4 58 fc b6 34 cd ce 8e e3 58 94 c4 84 d7 + +# PKCS#1 v1.5 Signature Example 1.2 + +# ----------------- + +# Message to be signed: +85 13 84 cd fe 81 9c 22 ed 6c 4c cb 30 da eb 5c +f0 59 bc 8e 11 66 b7 e3 53 0c 4c 23 3e 2b 5f 8f +71 a1 cc a5 82 d4 3e cc 72 b1 bc a1 6d fc 70 13 +22 6b 9e + +# Signature: +84 fd 2c e7 34 ec 1d a8 28 d0 f1 5b f4 9a 87 07 +c1 5d 05 94 81 36 de 53 7a 3d b4 21 38 41 67 c8 +6f ae 02 25 87 ee 9e 13 7d ae e7 54 73 82 62 93 +2d 27 1c 74 4c 6d 3a 18 9a d4 31 1b db 02 04 92 +e3 22 fb dd c4 04 06 ea 86 0d 4e 8e a2 a4 08 4a +a9 8b 96 22 a4 46 75 6f db 74 0d db 3d 91 db 76 +70 e2 11 66 1b bf 87 09 b1 1c 08 a7 07 71 42 2d +1a 12 de f2 9f 06 88 a1 92 ae bd 89 e0 f8 96 f8 + +# PKCS#1 v1.5 Signature Example 1.3 + +# ----------------- + +# Message to be signed: +a4 b1 59 94 17 61 c4 0c 6a 82 f2 b8 0d 1b 94 f5 +aa 26 54 fd 17 e1 2d 58 88 64 67 9b 54 cd 04 ef +8b d0 30 12 be 8d c3 7f 4b 83 af 79 63 fa ff 0d +fa 22 54 77 43 7c 48 01 7f f2 be 81 91 cf 39 55 +fc 07 35 6e ab 3f 32 2f 7f 62 0e 21 d2 54 e5 db +43 24 27 9f e0 67 e0 91 0e 2e 81 ca 2c ab 31 c7 +45 e6 7a 54 05 8e b5 0d 99 3c db 9e d0 b4 d0 29 +c0 6d 21 a9 4c a6 61 c3 ce 27 fa e1 d6 cb 20 f4 +56 4d 66 ce 47 67 58 3d 0e 5f 06 02 15 b5 90 17 +be 85 ea 84 89 39 12 7b d8 c9 c4 d4 7b 51 05 6c +03 1c f3 36 f1 7c 99 80 f3 b8 f5 b9 b6 87 8e 8b +79 7a a4 3b 88 26 84 33 3e 17 89 3f e9 ca a6 aa +29 9f 7e d1 a1 8e e2 c5 48 64 b7 b2 b9 9b 72 61 +8f b0 25 74 d1 39 ef 50 f0 19 c9 ee f4 16 97 13 +38 e7 d4 70 + +# Signature: +0b 1f 2e 51 80 e5 c7 b4 b5 e6 72 92 9f 66 4c 48 +96 e5 0c 35 13 4b 6d e4 d5 a9 34 25 2a 3a 24 5f +f4 83 40 92 0e 10 34 b7 d5 a5 b5 24 eb 0e 1c f1 +2b ef ef 49 b2 7b 73 2d 2c 19 e1 c4 32 17 d6 e1 +41 73 81 11 1a 1d 36 de 63 75 cf 45 5b 3c 98 12 +63 9d bc 27 60 0c 75 19 94 fb 61 79 9e cf 7d a6 +bc f5 15 40 af d0 17 4d b4 03 31 88 55 66 75 b1 +d7 63 36 0a f4 6f ee ca 5b 60 f8 82 82 9e e7 b2 + +# PKCS#1 v1.5 Signature Example 1.4 + +# ----------------- + +# Message to be signed: +bc 65 67 47 fa 9e af b3 f0 + +# Signature: +45 60 7a d6 11 cf 57 47 a4 1a c9 4d 0f fe c8 78 +bd af 63 f6 b5 7a 4b 08 8b f3 6e 34 e1 09 f8 40 +f2 4b 74 2a da 16 10 2d ab f9 51 cb c4 4f 89 82 +e9 4e d4 cd 09 44 8d 20 ec 0e fa 73 54 5f 80 b6 +54 06 be d6 19 4a 61 c3 40 b4 ad 15 68 cb b7 58 +51 04 9f 11 af 17 34 96 40 76 e0 20 29 ae e2 00 +e4 0e 80 be 0f 43 61 f6 98 41 c4 f9 2a 44 50 a2 +28 6d 43 28 9b 40 55 54 c5 4d 25 c6 ec b5 84 f4 + +# PKCS#1 v1.5 Signature Example 1.5 + +# ----------------- + +# Message to be signed: +b4 55 81 54 7e 54 27 77 0c 76 8e 8b 82 b7 55 64 +e0 ea 4e 9c 32 59 4d 6b ff 70 65 44 de 0a 87 76 +c7 a8 0b 45 76 55 0e ee 1b 2a ca bc 7e 8b 7d 3e +f7 bb 5b 03 e4 62 c1 10 47 ea dd 00 62 9a e5 75 +48 0a c1 47 0f e0 46 f1 3a 2b f5 af 17 92 1d c4 +b0 aa 8b 02 be e6 33 49 11 65 1d 7f 85 25 d1 0f +32 b5 1d 33 be 52 0d 3d df 5a 70 99 55 a3 df e7 +82 83 b9 e0 ab 54 04 6d 15 0c 17 7f 03 7f dc cc +5b e4 ea 5f 68 b5 e5 a3 8c 9d 7e dc cc c4 97 5f +45 5a 69 09 b4 + +# Signature: +54 be 9d 90 87 75 15 f4 50 27 9c 15 b5 f6 1a d6 +f1 5e cc 95 f1 8c be d8 2b 65 b1 66 7a 57 58 09 +58 79 94 66 80 44 f3 bc 2a e7 f8 84 50 1f 64 f0 +b4 3f 58 8c fa 20 5a 6a b7 04 32 8c 2d 4a b9 2a +7a e1 34 40 61 4d 3e 08 5f 40 1d a9 ad 28 e2 10 +5e 4a 0e db 68 1a 64 24 df 04 73 88 ce 05 1e e9 +df 7b c2 16 3f e3 47 52 0a d5 1c cd 51 80 64 38 +3e 74 1a ca d3 cb dc 2c b5 a7 c6 8e 86 84 64 c2 + +# PKCS#1 v1.5 Signature Example 1.6 + +# ----------------- + +# Message to be signed: +10 aa e9 a0 ab 0b 59 5d 08 41 20 7b 70 0d 48 d7 +5f ae dd e3 b7 75 cd 6b 4c c8 8a e0 6e 46 94 ec +74 ba 18 f8 52 0d 4f 5e a6 9c bb e7 cc 2b eb a4 +3e fd c1 02 15 ac 4e b3 2d c3 02 a1 f5 3d c6 c4 +35 22 67 e7 93 6c fe bf 7c 8d 67 03 57 84 a3 90 +9f a8 59 c7 b7 b5 9b 8e 39 c5 c2 34 9f 18 86 b7 +05 a3 02 67 d4 02 f7 48 6a b4 f5 8c ad 5d 69 ad +b1 7a b8 cd 0c e1 ca f5 02 5a f4 ae 24 b1 fb 87 +94 c6 07 0c c0 9a 51 e2 f9 91 13 11 e3 87 7d 00 +44 c7 1c 57 a9 93 39 50 08 80 6b 72 3a c3 83 73 +d3 95 48 18 18 52 8c 1e 70 53 73 92 82 05 35 29 +51 0e 93 5c d0 fa 77 b8 fa 53 cc 2d 47 4b d4 fb +3c c5 c6 72 d6 ff dc 90 a0 0f 98 48 71 2c 4b cf +e4 6c 60 57 36 59 b1 1e 64 57 e8 61 f0 f6 04 b6 +13 8d 14 4f 8c e4 e2 da 73 + +# Signature: +0e 6f f6 3a 85 6b 9c bd 5d be 42 31 83 12 20 47 +dd 39 d6 f7 6d 1b 23 10 e5 46 fe 9e e7 3b 33 ef +a7 c7 8f 94 74 45 5c 9e 5b 88 cb 38 3a af c3 69 +86 68 e7 b7 a5 9a 9c bb 5b 08 97 b6 c5 af b7 f8 +ba c4 b9 24 e9 8d 76 0a 15 fc 43 d2 81 4a b2 d5 +18 7f 79 be d9 91 5a 93 39 7e bc 22 a7 67 75 06 +a0 2e 07 6d 3f fd c0 44 1d bd 4d b0 04 53 dc 28 +d8 30 e0 57 3f 77 b8 17 b5 05 c3 8b 4a 4b b5 d0 + +# PKCS#1 v1.5 Signature Example 1.7 + +# ----------------- + +# Message to be signed: +ef b5 da 1b 4d 1e 6d 9a 5d ff 92 d0 18 4d a7 e3 +1f 87 7d 12 81 dd da 62 56 64 86 9e 83 79 e6 7a +d3 b7 5e ae 74 a5 80 e9 82 7a bd 6e b7 a0 02 cb +54 11 f5 26 67 97 76 8f b8 e9 5a e4 0e 3e 8b 34 +66 f5 ab 15 d6 95 53 95 29 39 ec 23 e6 1d 58 49 +7f ac 76 aa 1c 0b b5 a3 cb 4a 54 38 35 87 c7 bb +78 d1 3e ef da 20 54 43 e6 ce 43 65 80 2d f5 5c +64 71 34 97 98 4e 7c a9 67 22 b3 ed f8 4d 56 + +# Signature: +83 85 d5 85 33 a9 95 f7 2d f2 62 b7 0f 40 b3 91 +dd f5 15 f4 64 b9 d2 cc 2d 66 39 8f c0 56 89 d8 +11 63 29 46 d6 2e ab dc a7 a3 1f cf 6c d6 c9 81 +d2 8b bc 29 08 3e 4a 6d 5b 2b 37 8c a4 e5 40 f0 +60 b9 6d 53 ad 26 93 f8 21 78 b9 4e 2e 2f 86 b9 +ac cf a0 20 25 10 7e 06 2a b7 08 01 75 68 45 01 +02 8f 67 64 61 d8 1c 00 8f e4 75 06 71 64 99 70 +87 8f c1 75 cf 98 e9 6b 2e cb f6 87 4d 77 da cb + +# PKCS#1 v1.5 Signature Example 1.8 + +# ----------------- + +# Message to be signed: +53 bb 58 ce 42 f1 98 49 40 55 26 57 23 3b 14 96 +9a f3 65 c0 a5 61 a4 13 2a f1 8a f3 94 32 28 0e +3e 43 70 82 43 4b 19 23 18 37 18 4f 02 cf 2b 2e +72 6b eb f7 4d 7a e3 25 6d 8b 72 f3 ea fd b1 34 +d3 3d e0 6f 29 91 d2 99 d5 9f 54 68 d4 3b 99 58 +d6 a9 68 f5 96 9e db bc 6e 71 85 cb c7 16 c7 c9 +45 da fa 9c c7 1d df aa a0 10 94 a4 52 dd f5 e2 +40 73 20 40 0b f0 5e a9 72 9c af bf 06 00 e7 88 +07 ef 94 62 e3 fd e3 2e d7 d9 81 a5 6f 47 51 ef +64 fb 45 49 91 0e cc 91 1d 72 80 53 b3 99 43 00 +47 40 e6 f5 82 1f e8 d7 5c 06 17 bf 2c 6b 24 bb +fc 34 01 3f c9 5f 0d ed f5 ba 29 7f 50 4f b8 33 +da 2a 43 6d 1d 8f f1 cc 51 93 e2 a6 43 89 fc ed +91 8e 7f eb 67 16 33 0f 66 80 1d b9 49 75 49 cf +1d 3b d9 7c f1 bc 62 55 + +# Signature: +8e 1f 3d 26 ec 7c 6b bb 8c 54 c5 d2 5f 31 20 58 +78 03 af 6d 3c 2b 99 a3 7c ed 6a 36 57 d4 ae 54 +26 6f 63 ff fd e6 60 c8 66 d6 5d 0a b0 58 9e 1d +12 d9 ce 60 54 b0 5c 86 68 ae 12 71 71 cc aa e7 +f1 cd 40 96 77 f5 21 57 b6 12 3a b2 27 f2 7a 00 +96 6d 14 39 b4 2a 32 16 9d 10 70 39 40 26 fc 8b +c9 35 45 b1 ac 25 2d 0f 7d a7 51 c0 2e 33 a4 78 +31 fb d7 15 14 c2 bb bd 3a db 67 40 c0 fd 68 ad + +# PKCS#1 v1.5 Signature Example 1.9 + +# ----------------- + +# Message to be signed: +27 ca dc 69 84 50 94 5f 20 4e c3 cf 8c 6c bd 8c +eb 4c c0 cb e3 12 27 4f a9 6b 04 de ac 85 51 60 +c0 e0 4e 4a c5 d3 82 10 c2 7c + +# Signature: +7b 63 f9 22 33 56 f3 5f 61 17 f6 8c 8f 82 20 03 +4f c2 38 4a b5 dc 69 04 14 1f 13 93 14 d6 ee 89 +f5 4e c6 ff d1 8c 41 3a 23 c5 93 1c 7f bb 13 c5 +55 cc fd 59 0e 0e aa 85 3c 8c 94 d2 52 0c d4 25 +0d 9a 05 a1 93 b6 5d c7 49 b8 24 78 af 01 56 ee +1d e5 5d da d3 3e c1 f0 09 9c ad 6c 89 1a 36 17 +c7 39 3d 05 fb fb bb 00 52 8a 00 1d f0 b2 04 eb +df 1a 34 10 90 de a8 9f 87 0a 87 74 58 42 7f 7b + +# PKCS#1 v1.5 Signature Example 1.10 + +# ----------------- + +# Message to be signed: +71 64 07 e9 01 b9 ef 92 d7 61 b0 13 fd 13 eb 7a +d7 2a ed + +# Signature: +2a 22 db e3 77 4d 5b 29 72 01 b5 5a 0f 17 f4 2d +ce 63 b7 84 5c b3 25 cf e9 51 d0 ba db 5c 5a 14 +47 21 43 d8 96 c8 6c c3 39 f8 36 71 16 42 15 ab +c9 78 62 f2 15 16 54 e7 5a 3b 35 7c 37 31 1b 3d +72 68 ca b5 40 20 2e 23 be e5 27 36 f2 cd 86 cc +e0 c7 db de 95 e1 c6 00 a4 73 95 dc 5e b0 a4 72 +15 3f bc 4f b2 1b 64 3e 0c 04 ae 14 dd 37 e9 7e +61 7a 75 67 c8 96 52 21 97 81 00 1b a6 f8 32 98 + +# PKCS#1 v1.5 Signature Example 1.11 + +# ----------------- + +# Message to be signed: +46 c2 4e 41 03 00 16 29 c7 12 dd 4c e8 d7 47 ee +59 5d 6c 74 4c cc 4f 71 34 7d 9b 8a bf 49 d1 b8 +fb 2e f9 1b 95 dc 89 9d 4c 0e 3d 29 97 e6 38 f4 +cf 3f 68 e0 49 8d e5 aa bd 13 f0 df e0 2f f2 6b +a4 37 91 04 e7 8f fa 95 ff bd 15 06 7e f8 cb d7 +eb 78 60 fe cc 71 ab e1 3d 5c 72 0a 66 85 1f 2d +ef d4 e7 95 05 4d 7b ec 02 4b b4 22 a4 6a 73 68 +b5 6d 95 b4 7a eb af be ad d6 12 81 25 93 a7 0d +b9 f9 6d 45 1e e1 5e db 29 93 08 d7 77 f4 bb 68 +ed 33 77 c3 21 56 b4 1b 7a 9c 92 a1 4c 8b 81 14 +43 99 c5 6a 5a 43 2f 4f 77 0a a9 7d a8 41 5d 0b +da 2e 81 32 06 03 1e 70 62 00 31 c8 81 d6 16 bf +fd 5f 03 bf 14 7c 1e 73 76 6c 26 24 62 08 + +# Signature: +12 23 5b 0b 40 61 26 d9 d2 60 d4 47 e9 23 a1 10 +51 fb 24 30 79 f4 46 fd 73 a7 01 81 d5 36 34 d7 +a0 96 8e 4e e2 77 77 ed a6 3f 6e 4a 3a 91 ad 59 +85 99 8a 48 48 da 59 ce 69 7b 24 bb 33 2f a2 ad +9c e4 62 ca 4a ff dc 21 da b9 08 e8 ce 15 af 6e +b9 10 5b 1a bc f3 91 42 aa 17 b3 4c 4c 09 23 86 +a7 ab bf e0 28 af db eb c1 4f 2c e2 6f be e5 ed +ec a1 15 02 d3 9a 6b 74 03 15 48 43 d9 8a 62 a7 + +# PKCS#1 v1.5 Signature Example 1.12 + +# ----------------- + +# Message to be signed: +bc 99 a9 32 aa 16 d6 22 bf ff 79 c5 0b 4c 42 35 +86 73 26 11 29 e2 8d 6a 91 8f f1 b0 f1 c4 f4 6a +d8 af a9 8b 0c a0 f5 6f 96 79 75 b0 a2 9b e8 82 +e9 3b 6c d3 fc 33 e1 fa ef 72 e5 2b 2a e0 a3 f1 +20 24 50 6e 25 69 0e 90 2e 78 29 82 14 55 56 53 +22 84 cf 50 57 89 73 8f 4d a3 1f a1 33 3d 3a f8 +62 b2 ba 6b 6c e7 ab 4c ce 6a ba + +# Signature: +87 2e c5 ad 4f 18 46 25 6f 17 e9 93 6a c5 0e 43 +e9 96 3e a8 c1 e7 6f 15 87 9b 78 74 d7 7d 12 2a +60 9d c8 c5 61 14 5b 94 bf 4f fd ff de b1 7e 6e +76 ff c6 c1 0c 07 47 f5 e3 7a 9f 43 4f 56 09 e7 +9d a5 25 02 15 a4 57 af df 12 c6 50 7c c1 55 1f +54 a2 80 10 59 58 26 a2 c9 b9 7f a0 aa 85 1c c6 +8b 70 5d 7a 06 d7 20 ba 02 7e 4a 1c 0b 01 95 00 +fb 63 b7 80 71 68 4d cf a9 77 27 00 b9 82 dc 66 + +# PKCS#1 v1.5 Signature Example 1.13 + +# ----------------- + +# Message to be signed: +73 1e 17 2a c0 63 99 2c 5b 11 ba 17 0d fb 23 bb +00 0d 47 ba 19 53 29 cf 27 80 61 03 73 81 51 4c +14 60 64 c5 28 5d b1 30 dd 5b ae 98 b7 72 22 59 +50 ea b0 5d 3e a9 96 f6 ff fb 9a 8c 86 22 91 3f +27 99 14 c8 9a da 4f 3d d7 76 66 a8 68 bf cb ff +2b 95 b7 da f4 53 d4 e2 c9 d7 5b ee e7 f8 e7 09 +05 e4 06 6a 4f 73 ae cc 67 f9 56 aa 5a 32 92 b8 +48 8c 91 7d 31 7c fd c8 62 53 e6 90 38 1e 15 ab + +# Signature: +76 20 4e ac c1 d6 3e c1 d6 ad 5b d0 69 2e 1a 2f +68 6d f6 e6 4c a9 45 c7 7a 82 4d e2 12 ef a6 d9 +78 2d 81 b4 59 14 03 ff 40 20 62 02 98 c0 7e bd +3a 8a 61 c5 bf 4d ad 62 cb fc 4a e6 a0 39 37 be +4b 49 a2 16 d5 70 fc 6e 81 87 29 37 87 6e 27 bd +19 cf 60 1e ff c3 0d dc a5 73 c9 d5 6c d4 56 9b +db 48 51 c4 50 c4 2c b2 1e 73 8c dd 61 02 7b 8b +e5 e9 b4 10 fc 46 aa 3f 29 e4 be 9e 64 45 13 46 + +# PKCS#1 v1.5 Signature Example 1.14 + +# ----------------- + +# Message to be signed: +02 11 38 26 83 a7 4d 8d 2a 2c b6 a0 65 50 56 3b +e1 c2 6c a6 28 21 e4 ff 16 3b 72 04 64 fc 3a 28 +d9 1b ed dd c6 27 49 a5 53 8e af 41 fb e0 c8 2a +77 e0 6a d9 93 83 c9 e9 85 ff b8 a9 3f d4 d7 c5 +8d b5 1a d9 1b a4 61 d6 9a 8f d7 dd ab e2 49 67 +57 a0 c4 91 22 c1 a7 9a 85 cc 05 53 e8 21 4d 03 +6d fe 01 85 ef a0 d0 58 60 c6 12 fa 08 82 c8 2d +24 6e 58 30 a6 73 55 df f1 8a 2c 36 b7 32 f9 88 +cf ed c5 62 26 4c 62 54 b4 0f ca bb 97 b7 60 94 +75 68 dc d6 a1 7c da 6e e8 85 5b dd ba b9 37 02 +47 1a a0 cf b1 be d2 e1 31 18 eb a1 17 5b 73 c9 +62 53 c1 08 d0 b2 ab a0 5a b8 e1 7e 84 39 2e 20 +08 5f 47 40 4d 83 65 52 7d c3 fb 8f 2b b4 8a 50 +03 8e 71 36 1c cf 97 34 07 + +# Signature: +52 55 00 91 83 31 f1 04 2e ae 0c 5c 20 54 aa 7f +92 de b2 69 91 b5 79 66 34 f2 29 da f9 b4 9e b2 +05 4d 87 31 9f 3c fa 9b 46 6b d0 75 ef 66 99 ae +a4 bd 4a 19 5a 1c 52 96 8b 5e 2b 75 e0 92 d8 46 +ea 1b 5c c2 79 05 a8 e1 d5 e5 de 0e df db 21 39 +1e bb 95 18 64 eb d9 f0 b0 ec 35 b6 54 28 71 36 +0a 31 7b 7e f1 3a e0 6a f6 84 e3 8e 21 b1 e1 9b +c7 29 8e 5d 6f e0 01 3a 16 4b fa 25 d3 e7 31 3d + +# PKCS#1 v1.5 Signature Example 1.15 + +# ----------------- + +# Message to be signed: +fc 6b 70 0d 22 58 33 88 ab 2f 8d af ca f1 a0 56 +20 69 80 20 da 4b ae 44 da fb d0 87 7b 50 12 50 +6d c3 18 1d 5c 66 bf 02 3f 34 8b 41 fd 9f 94 79 +5a b9 64 52 a4 21 9f 2d 39 d7 2a f3 59 cf 19 56 +51 c7 + +# Signature: +44 52 a6 cc 26 26 b0 1e 95 ab 30 6d f0 d0 cc 74 +84 fb ab 3c 22 e9 70 32 83 56 7f 66 ea dc 24 8d +bd a5 8f ce 7d d0 c7 0c ce 3f 15 0f ca 4b 36 9d +ff 3b 62 37 e2 b1 62 81 ab 55 b5 3f b1 30 89 c8 +5c d2 65 05 6b 3d 62 a8 8b fc 21 35 b1 67 91 f7 +fb ca b9 fd 2d c3 3b ec b6 17 be 41 9d 2c 04 61 +42 a4 d4 7b 33 83 14 55 2e dd 4b 6f e9 ce 11 04 +ec ec 4a 99 58 d7 33 1e 93 0f c0 9b f0 8a 6e 64 + +# PKCS#1 v1.5 Signature Example 1.16 + +# ----------------- + +# Message to be signed: +13 ba 08 6d 70 9c fa 5f ed aa 55 7a 89 18 1a 61 +40 f2 30 0e d6 d7 c3 fe bb 6c f6 8a be bc bc 67 +8f 2b ca 3d c2 33 02 95 ee c4 5b b1 c4 07 5f 3a +da 98 7e ae 88 b3 9c 51 60 6c b8 04 29 e6 49 d9 +8a cc 84 41 b1 f8 89 7d b8 6c 5a 4c e0 ab f2 8b +1b 81 dc a3 66 76 97 b8 50 69 6b 74 a5 eb d8 5d +ec 56 c9 0f 8a be 51 3e fa 85 78 53 72 0b e3 19 +60 79 21 bc a9 47 52 2c d8 fa c8 ca ce 5b 82 7c +3e 5a 12 9e 7e e5 7f 6b 84 93 2f 14 14 1a c4 27 +4e 8c bb 46 e6 91 2b 0d 3e 21 77 d4 99 d1 84 0c +d4 7d 4d 7a e0 b4 cd c4 d3 + +# Signature: +1f 3b 5a 87 db 72 a2 c9 7b b3 ef f2 a6 5a 30 12 +68 ea cd 89 f4 2a bc 10 98 c1 f2 de 77 b0 83 2a +65 d7 81 5f eb 35 07 00 63 f2 21 bb 34 53 bd 43 +43 86 c9 a3 fd e1 8e 3c a1 68 7f b6 49 e8 6c 51 +d6 58 61 9d de 5d eb b8 6f e1 54 91 ff 77 ab 74 +83 73 f1 be 50 88 80 d6 6e a8 1e 87 0e 91 cd f1 +70 48 75 c1 7f 0b 10 10 31 88 bc 64 ee f5 a3 55 +1b 41 4c 73 36 70 21 5b 1a 22 70 25 62 58 1a b1 + +# PKCS#1 v1.5 Signature Example 1.17 + +# ----------------- + +# Message to be signed: +eb 1e 59 35 + +# Signature: +37 0c b9 83 9a e6 07 4f 84 b2 ac d6 e6 f6 b7 92 +1b 4b 52 34 63 75 7f 64 46 71 61 40 c4 e6 c0 e7 +5b ec 6a d0 19 7e bf a8 6b f4 6d 09 4f 5f 6c d3 +6d ca 3a 5c c7 3c 8b bb 70 e2 c7 c9 ab 5d 96 4e +c8 e3 df de 48 1b 4a 1b ef fd 01 b4 ad 15 b3 1a +e7 ae bb 9b 70 34 4a 94 11 08 31 65 fd f9 c3 75 +4b bb 8b 94 dd 34 bd 48 13 df ad a1 f6 93 7d e4 +26 7d 55 97 ca 09 a3 1e 83 d7 f1 a7 9d d1 9b 5e + +# PKCS#1 v1.5 Signature Example 1.18 + +# ----------------- + +# Message to be signed: +63 46 b1 53 e8 89 c8 22 82 09 63 00 71 c8 a5 77 +83 f3 68 76 0b 8e b9 08 cf c2 b2 76 + +# Signature: +24 79 c9 75 c5 b1 ae 4c 4e 94 0f 47 3a 90 45 b8 +bf 5b 0b fc a7 8e c2 9a 38 df be dc 8a 74 9b 7a +26 92 f7 c5 2d 5b c7 c8 31 c7 23 23 72 a0 0f ed +3b 6b 49 e7 60 ec 99 e0 74 ff 2e ea d5 13 4e 83 +05 72 5d fa 39 21 2b 84 bd 4b 8d 80 bc 8b c1 7a +51 28 23 a3 be b1 8f c0 8e 45 ed 19 c2 6c 81 77 +07 d6 7f b0 58 32 ef 1f 12 a3 3e 90 cd 93 b8 a7 +80 31 9e 29 63 ca 25 a2 af 7b 09 ad 8f 59 5c 21 + +# PKCS#1 v1.5 Signature Example 1.19 + +# ----------------- + +# Message to be signed: +64 70 2d b9 f8 25 a0 f3 ab c3 61 97 46 59 f5 e9 +d3 0c 3a a4 f5 6f ea c6 90 50 c7 29 05 e7 7f e0 +c2 2f 88 a3 78 c2 1f cf 45 fe 8a 5c 71 73 02 09 +39 29 + +# Signature: +15 2f 34 51 c8 58 d6 95 94 e6 56 7d fb 31 29 1c +1e e7 86 0b 9d 15 eb d5 a5 ed d2 76 ac 3e 6f 7a +8d 14 80 e4 2b 33 81 d2 be 02 3a cf 7e bb db 28 +de 3d 21 63 ae 44 25 9c 6d f9 8c 33 5d 04 5b 61 +da c9 db a9 db bb 4e 6a b4 a0 83 cd 76 b5 80 cb +e4 72 20 6a 1a 9f d6 06 80 ce ea 1a 57 0a 29 b0 +88 1c 77 5e ae f5 52 5d 6d 2f 34 4c 28 83 7d 0a +ca 42 2b bb 0f 1a ba 8f 68 61 ae 18 bd 73 fe 44 + +# PKCS#1 v1.5 Signature Example 1.20 + +# ----------------- + +# Message to be signed: +94 19 21 de 4a 1c 9c 16 18 d6 f3 ca 3c 17 9f 6e +29 ba e6 dd f9 a6 a5 64 f9 29 e3 ce 82 cf 32 65 +d7 83 7d 5e 69 2b e8 dc c9 e8 6c + +# Signature: +70 76 c2 87 fc 6f ff 2b 20 53 74 35 e5 a3 10 7c +e4 da 10 71 61 86 d0 15 39 41 3e 60 9d 27 d1 da +6f d9 52 c6 1f 4b ab 91 c0 45 fa 4f 86 83 ec c4 +f8 dd e7 42 27 f7 73 cf f3 d9 6d b8 47 18 c4 94 +4b 06 af fe ba 94 b7 25 f1 b0 7d 39 28 b2 49 0a +85 c2 f1 ab f4 92 a9 17 7a 7c d2 ea 0c 96 68 75 +6f 82 5b be c9 00 fa 8a c3 82 4e 11 43 87 ef 57 +37 80 ca 33 48 82 38 7b 94 e5 aa d7 a2 7a 28 dc + +# ============================================= + +# Example 2: A 1024-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +ac 13 d9 fd ae 7b 73 35 b6 9c d9 85 67 e9 64 7d +99 bf 37 3a 9e 05 ce 34 35 d6 64 65 f3 28 b7 f7 +33 4b 79 2a ee 7e fa 04 4e bc 4c 7a 30 b2 1a 5d +7a 89 cd b3 a3 0d fc d9 fe e9 99 5e 09 41 5e dc +0b f9 e5 b4 c3 f7 4f f5 3f b4 d2 94 41 bf 1b 7e +d6 cb dd 4a 47 f9 25 22 69 e1 64 6f 6c 1a ee 05 +14 e9 3f 6c b9 df 71 d0 6c 06 0a 21 04 b4 7b 72 +60 ac 37 c1 06 86 1d c7 8c a5 a2 5f aa 9c b2 e3 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +ac 13 d9 fd ae 7b 73 35 b6 9c d9 85 67 e9 64 7d +99 bf 37 3a 9e 05 ce 34 35 d6 64 65 f3 28 b7 f7 +33 4b 79 2a ee 7e fa 04 4e bc 4c 7a 30 b2 1a 5d +7a 89 cd b3 a3 0d fc d9 fe e9 99 5e 09 41 5e dc +0b f9 e5 b4 c3 f7 4f f5 3f b4 d2 94 41 bf 1b 7e +d6 cb dd 4a 47 f9 25 22 69 e1 64 6f 6c 1a ee 05 +14 e9 3f 6c b9 df 71 d0 6c 06 0a 21 04 b4 7b 72 +60 ac 37 c1 06 86 1d c7 8c a5 a2 5f aa 9c b2 e3 + +# Public exponent: +01 00 01 + +# Exponent: +04 84 cc ef ad 7a 4e 6f 35 a9 6e c8 e3 0e ac f5 +e3 68 b3 11 95 fe bf 08 7d f5 70 53 81 0c 2b b0 +91 27 45 3a 4c 63 07 3b bf b9 90 24 91 4c cc 06 +72 66 56 01 86 a1 a2 67 33 1b 7d 4c 8b df ac 96 +fd a9 f3 f7 0b ec 4e ea bc e7 cd 52 19 34 3c 2e +49 1c ce 82 7e 44 ee 23 0e 4f 69 58 9e 57 5a e9 +06 30 30 44 2a 31 c8 2c de 30 dc 9c 79 cf 64 e7 +a0 97 5e 75 e1 6e a4 58 15 48 8b 45 52 56 ee b1 + +# Prime 1: +df 85 f4 a0 b4 33 bd 37 43 3c d7 97 8c 9b 37 f9 +e4 17 29 d8 3a 26 2b 98 46 53 8e 50 39 e6 59 68 +b5 95 a4 62 72 bd 5f 4a 2c 3a bf 89 0a 35 50 8a +5b cb 4c 29 ef bd 91 02 85 03 83 4c fa b2 c0 f9 + +# Prime 2: +c5 14 59 a6 72 ed 8b 72 4c 6a 8f 28 5c bb 8e a7 +6a 23 93 91 79 28 be 56 c0 dc df c9 43 c3 0b da +3c ee fb 86 dc c8 c4 55 67 8c fe 88 25 f3 88 77 +a3 72 8a 1f 10 29 1f 54 7b 1e 8b 16 04 83 e5 bb + +# Prime exponent 1: +b6 ba 83 a9 7c a7 6f 5f e6 0f af 0f ad 5a 97 00 +2a 7e e5 2e 67 1b 1d 38 77 05 87 a9 fe 2b 59 9c +48 15 f5 34 a6 28 39 e6 21 12 45 d2 7a 0d eb b1 +b0 29 1a 32 8e 52 a2 61 34 ec 12 42 b4 0f bd c1 + +# Prime exponent 2: +b9 b1 c6 13 2e e1 22 6e 6d 10 4e 99 72 5f 0b 38 +35 ab 15 e5 91 6a d1 85 be ad 9f 72 ed 95 3f 7a +bf c5 52 5c ad 75 c2 80 d2 54 28 94 b2 65 b8 65 +3a 2d b7 75 33 6d fb e6 47 27 ed 57 ae a3 74 f7 + +# Coefficient: +7b 8d 15 a5 dd 28 90 a6 7d 1b 54 9c 93 5f 58 5a +38 da 56 f7 c8 15 5a 51 9d c8 f1 f6 ad e5 53 d6 +37 93 c7 8a 0e ce 8d 53 72 4e 62 ae 50 3a d5 25 +bf af 10 cf 61 6a 47 73 ce 7c cd 5c 1b 31 51 bd + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 2.1 + +# ----------------- + +# Message to be signed: +e1 c0 f9 8d 53 f8 f8 b1 41 90 57 d5 b9 b1 0b 07 +fe ea ec 32 c0 46 3a 4d 68 38 2f 53 1b a1 d6 cf +e4 ed 38 a2 69 4a 34 b9 c8 05 ad f0 72 ff bc eb +e2 1d 8d 4b 5c 0e 8c 33 45 2d d8 f9 c9 bf 45 d1 +e6 33 75 11 33 58 82 29 d2 93 c6 49 6b 7c 98 3c +2c 72 bd 21 d3 39 27 2d 78 28 b0 d0 9d 01 0b ba +d3 18 d9 98 f7 04 79 67 33 8a ce fd 01 e8 74 ac +e5 f8 6d 2a 60 f3 b3 ca e1 3f c5 c6 65 08 cf b7 +23 78 fd d6 c8 de 24 97 65 10 3c e8 fe 7c d3 3a +d0 ef 16 86 fe b2 5e 6a 35 fb 64 e0 96 a4 + +# Signature: +64 ac 09 39 71 f8 f0 96 a4 c1 d4 a5 43 66 2a 2e +5a 12 81 c9 50 98 7d e8 98 70 7f 02 9c 15 9b d8 +32 ca c5 5d 91 36 e0 e9 b4 a8 0b f6 f2 1b 68 cf +97 70 a6 34 9a e5 1e 7f 09 db da 9d 59 c4 58 37 +37 47 2d 4d 65 32 c7 17 7e e9 81 08 d2 cf 42 cd +08 5a bb 49 22 eb 29 d9 6f 3d 0f 6b 1d 0d 43 c7 +39 cc f1 ba 65 16 75 e1 96 8b 50 7d 51 90 2f 38 +cd ec 0b 61 32 72 90 45 32 5f c1 fb 8f d5 58 e8 + +# PKCS#1 v1.5 Signature Example 2.2 + +# ----------------- + +# Message to be signed: +c1 11 46 4e 00 2e 4e c6 18 a8 e2 63 db cc a9 1f +b1 8a 00 a1 8b 44 0c 4b 55 97 be e7 db 2a ed a8 +31 e6 21 fc ac 8d d8 1c ee 35 03 24 2b 33 b0 da +a9 87 fe 2f 54 93 ad 2d 06 a1 50 07 59 00 40 ce +3c 22 77 64 2f d2 7f 3f 25 5e 3d 98 d8 9d fa eb +86 be 34 e0 b8 fb b9 35 fb 92 85 60 fa 29 2d 26 +34 62 5a 50 7d d5 80 a8 91 24 b9 21 29 3e 8d fe +dd c2 81 d7 9e b3 a5 69 d5 9e 0d b8 01 3e 53 f7 +d4 c2 f9 6e 5f 2e c2 7f d8 dd b0 18 25 d1 7f ca +40 6d aa 62 24 c7 60 6d 2c 91 52 82 09 6a 78 05 +5a 49 62 15 37 b4 f0 25 a6 e5 b2 12 9b c8 c1 a4 +07 + +# Signature: +6e 7e aa d8 04 94 5e b0 46 70 dd 86 76 b7 05 7d +03 ac 3e 22 64 65 b1 fb 84 03 e6 ae 79 83 e0 a4 +6a 89 a4 eb 32 bd c8 e7 ae 5a 53 d4 8a a6 4b c9 +c3 db c8 cf 9c d6 dc 6a 68 fc ea e9 e2 9f 47 45 +fa 49 e1 8d 18 4d c5 d2 6c 4f eb 35 1f b4 b2 28 +c4 c1 8c ab db de 86 01 72 4a e3 80 3d b3 05 f2 +a0 76 fa 8a 57 f4 61 0b 8a 6e 0e d4 35 75 be 5d +5b fc 16 30 47 9d f3 bc bc 51 51 77 af e4 99 4a + +# PKCS#1 v1.5 Signature Example 2.3 + +# ----------------- + +# Message to be signed: +29 b8 5b 14 b2 da 94 7a 4c 3a d1 e5 93 7d a1 92 +c6 05 08 65 af 95 04 a5 44 53 70 e4 3d 3a 8d a5 +d3 55 fd 58 76 6b 25 43 ac 6f 93 10 87 83 c1 3f +f2 8b 2b e5 60 83 f0 29 82 39 e0 ee 96 81 ee 47 +c6 + +# Signature: +80 b3 8c e7 35 12 6c 85 45 d9 1d 18 ec 90 37 65 +4d 46 e4 f3 c5 1a 6b 86 18 e1 5f 72 cd 20 75 00 +a4 70 01 75 77 d0 a8 c5 5a 2b a3 34 38 3f 1f 8d +99 fc e2 46 0b 32 97 bc 03 7e f6 4a c4 a3 09 8c +6a aa 24 a4 d0 14 4a f1 02 d0 dd a1 7e 07 dc 69 +59 23 93 2e 56 8a da 00 dc 4f 7d bf bc de c4 3c +c9 08 38 80 17 d2 ee f0 4e 60 df e4 d5 73 40 fa +b9 16 e2 b8 11 24 4c b1 e4 a5 52 38 6f e3 ed 4c + +# PKCS#1 v1.5 Signature Example 2.4 + +# ----------------- + +# Message to be signed: +d3 b7 aa d3 7a 48 90 e0 36 5b 86 c7 da 94 91 e7 +3c df 55 5d 1b 02 b4 51 81 6d c5 2f 96 30 d5 90 +de 83 a5 c9 39 61 01 25 22 df f6 db bb 9c db 0e +71 ae 51 40 19 64 af 18 90 e8 93 25 db d6 26 f2 +da 01 34 58 e3 9e ec a5 83 e8 9e 4c 08 e5 d4 12 +be 49 84 95 88 6e 05 51 cf e7 42 b8 b5 + +# Signature: +9d 8a 88 89 a3 11 b4 86 cb e2 22 57 03 f5 d4 ae +2a 54 c2 bc aa ad 06 fe 76 48 b9 e2 d8 5e dd a1 +a0 7d 85 6d 6a e9 bd 5c c1 e5 15 32 66 ec 7f 1e +1d f3 d9 29 cc 44 70 0f ac 92 64 58 41 4c 28 41 +da 83 32 8e 81 e0 b9 d6 c3 88 5e 76 73 70 ad 5c +f1 f5 76 d9 dc e3 48 ca ec 5e 64 43 e0 ae b7 c3 +f7 2b 7d d2 53 66 70 23 b9 a4 77 ab 34 df 8f 20 +67 e2 25 ad cb 73 ee 11 e1 59 eb 64 91 47 d6 02 + +# PKCS#1 v1.5 Signature Example 2.5 + +# ----------------- + +# Message to be signed: +f6 58 18 8c 8f 9d e6 0b 5e 99 a2 9f 52 d3 b8 89 +20 1b 30 d4 64 c3 b7 27 92 a3 02 09 5d c1 e7 7d +45 e9 4f 5d ab 73 db b3 13 54 38 57 ff 91 db f4 +73 df c1 45 d7 3b d5 06 20 75 d1 92 a3 fb f4 a1 +33 e7 e5 68 df 20 b8 cf f7 7b 3a f6 87 aa 22 55 +9e c1 + +# Signature: +0a 95 a4 4f 62 74 e7 4c ec 45 17 96 af 56 88 d4 +be 01 08 93 fa ae 27 d4 90 f4 77 1b 00 3f 70 46 +cc cd 41 9f c8 19 d7 33 19 55 f4 1e ac 93 39 f5 +46 c5 84 a8 b4 2a 5a c6 32 90 58 3f f3 eb 6b 29 +ca dc 75 4a e5 8d 5a 56 37 b6 60 97 96 e8 05 51 +73 ff 20 a9 cc e4 92 fd 78 37 46 86 15 e8 41 08 +87 f0 b4 a5 9f f2 52 a8 25 97 76 c8 ff da a6 7c +87 df f8 98 3a e6 79 d1 de 22 ea 15 8d 48 f6 8b + +# PKCS#1 v1.5 Signature Example 2.6 + +# ----------------- + +# Message to be signed: +31 ae 5f 83 a0 fb 3a c9 25 5f fa 43 5f 70 e2 ab +65 55 66 e5 fb 8b 78 b8 02 c1 87 cf f1 c5 e4 0f +ed 06 97 8c 5d 59 76 eb 4c a7 75 80 63 99 a6 fc +4d b5 0c 1f 88 66 1b a6 8a bc 21 fb 2c cd 53 7f +50 18 f3 6e d1 f7 d4 53 83 fd 46 9e 77 ba b3 e8 +a9 5d fa 1b 94 1e 43 0d de c5 52 dc d8 2f 5d 10 +d2 9c d1 0a 22 d1 7c e2 42 59 28 ff 5d 07 10 dc +e7 d9 f8 3b 12 e0 4c 1a 01 59 c2 71 76 e0 4a cc + +# Signature: +3f 11 ea 73 9f 32 9c 9d 40 04 60 34 b6 c0 cf ce +b4 9b c3 20 1a 5f 25 ea f5 01 5a ed ed 02 18 9c +e0 b0 cf de 19 12 5b d2 88 b7 d0 c0 62 32 1a 5b +dc 2c fa 42 26 f5 10 4a 1f ba eb be 7f 72 f5 f7 +92 7e 1e ae 26 fd c5 ba 92 f2 d3 f8 69 eb c3 2d +90 18 dd 04 ed e8 6d e5 c4 54 f1 f7 a1 b2 e2 d1 +94 0a ac ae 27 79 63 55 fe 18 ac 80 97 53 53 92 +9a c6 a8 38 45 8b 5d 9d c7 57 6e 38 87 ee 7b ca + +# PKCS#1 v1.5 Signature Example 2.7 + +# ----------------- + +# Message to be signed: +96 ff 99 f1 50 60 c9 73 a6 5b 69 a8 b5 b6 3a db +33 25 32 0d a9 37 29 75 84 ad 4f ad 5c 3c 74 69 +01 9e 9c f7 2a cb 31 5f 1e 49 19 27 bb a1 94 87 +55 82 3e b0 7e 3f 20 ac df 78 65 3c ae 45 0e 47 +bc 54 ba f8 ca 11 67 a5 05 08 44 e0 22 22 0e e6 +65 8a 8d dd 95 63 2e 9a dc 1a 6c 14 37 9c 1c 5a +e5 a0 ce 5d c4 02 08 09 62 2a fd ec f8 1f 18 a5 +1e 28 66 6d 02 b1 dc da 0a 27 b8 c3 d2 c2 7b 2c +07 b3 80 22 00 01 7a 7c 12 4a 43 37 cc 4b 6e a2 +ae a7 5c 68 b4 40 e3 79 47 e3 61 9b cf ee 05 5b +b2 ed ab c4 24 49 07 e0 48 3d d3 a1 7d 8e df f3 +a6 50 29 3f d4 ab f5 c4 5d 1a 5b 6c 54 02 ba 2b +81 b7 b0 e0 c9 5e e9 49 b2 a2 38 c1 99 56 20 6c +12 4e 0c d9 c2 46 20 b3 6a 83 bf 93 b9 6e f2 04 +bd e5 31 6c 1f 53 27 c0 a6 21 ec ce 20 93 c0 65 +2d df 32 17 68 d7 45 02 f1 90 85 29 62 9b ab 68 + +# Signature: +18 3f 85 3d 0d 03 62 18 70 e3 ba 58 68 50 c5 ea +59 fc 4e 9a cf 37 94 b9 ad 59 a1 bb 80 18 1e 77 +b1 11 d6 64 86 47 e1 39 a3 9e c0 4f 86 18 74 91 +e7 7b 4d 75 c0 60 79 5b f7 27 08 46 d3 96 e0 bf +ea 83 15 79 5e 79 d7 6a 91 9e a7 6b 06 ee c1 3b +af 4c e8 af e1 e3 4b c2 24 57 d7 b7 99 2e 08 42 +ef ad e1 79 b0 ae da cc fb e2 d2 3d 3e b3 14 e1 +de 91 c8 71 b9 db 5a bf fb 17 47 7f ba 23 3a 06 + +# PKCS#1 v1.5 Signature Example 2.8 + +# ----------------- + +# Message to be signed: +3a 17 6c 79 3a 54 6e 2d 27 6f b8 ff c3 28 16 3b +49 49 97 a5 30 2a ae 2e 50 45 a2 a2 06 87 ea 6d +1f 18 1c 6a bf e6 09 0c 8d c4 02 56 db 3d e0 83 +22 64 7f b7 95 bb a1 71 3f b5 7e 33 d5 3e 0e 13 +be da c6 a6 58 ad 4a b4 91 22 38 81 19 8d f2 93 +67 fa ad e8 be 9f ca a4 e4 83 f7 b7 f3 dc 7c bb +f9 7a 17 aa d8 8c 26 cf c6 41 0f 94 5b 54 fc 53 +db 55 ac 80 3d 8b 73 69 1b 14 84 84 7d 7f 3b 7e +93 94 e5 5f 0a 51 fe 61 ae 84 52 3c 94 b2 2e 82 +39 6d b6 cf ac b7 2e 0e e4 94 aa 0f 1f a5 93 12 +54 43 ae 15 55 a6 a9 33 fa ce 00 74 79 1d c2 c2 +92 42 eb + +# Signature: +41 3c 92 23 a2 e9 b1 22 cd 87 25 77 e5 2f 31 3d +41 da c7 9a 26 cb 10 33 da 0b 6f cc 4b 48 21 07 +74 4b f4 90 fa 79 8d cc d0 cb d1 18 ef 39 c0 f5 +59 d8 7b 89 33 5d b0 9b e7 70 0f b0 9f db d3 40 +40 a0 0b e5 ca 42 88 34 77 b0 6e 4e 10 a7 cb 11 +76 8f cb 02 c3 4f b1 06 e5 22 86 0d 10 69 39 06 +26 0f 43 d9 06 12 99 03 93 a8 ff ac 9f d7 0c a3 +78 29 11 1e eb a6 f3 de e5 4e f1 c1 62 68 b3 3e + +# PKCS#1 v1.5 Signature Example 2.9 + +# ----------------- + +# Message to be signed: +06 8a 99 1b 32 b6 76 c6 4b 89 8c 67 e1 13 72 82 +b4 37 11 b0 d0 67 1c 24 7d 9f 7c 48 f5 04 3e 4f +c2 06 dc 65 af 89 06 f2 52 f0 24 52 05 ea 08 43 +23 d4 27 6b e5 aa 0f c5 af 9c 3f 34 b2 fd 66 34 +df 57 2f c3 13 d2 73 b5 3e 9e 36 b9 46 e7 e6 72 +f9 8d 85 7d 7e dd d3 dd 04 39 31 32 f4 61 f2 2c +99 00 26 16 6f 38 5b e1 59 5c 7f 23 f8 9f f5 7e +05 a7 be 28 5d 10 56 15 48 5f 35 6a ba b1 ff 2a +b9 27 d6 09 95 2a 62 7e 46 8c a7 59 0a cb 52 13 +f4 31 39 f8 e2 c9 d4 d1 7c 6b d7 91 4e 53 f0 2f +d1 9a 13 1f f4 9c d2 5e de 8f 41 8a 88 53 0a 82 +39 88 7f 0f c7 97 ed b5 04 64 79 64 bf 31 ca af +08 0d 58 17 a0 + +# Signature: +57 5d a9 e9 be fc a1 82 95 46 e8 29 38 15 00 11 +32 03 0e 74 9c a5 10 88 f1 68 bd 15 0b 13 94 c7 +ac d5 97 8b ca 03 f7 b9 d9 2a 29 b8 e2 85 6b 0d +a0 7f 0b b1 5c 0b 33 e0 54 87 99 1a d9 7a 81 2d +c9 04 aa f0 fd 1e 38 7e f1 c2 70 c6 86 8d 3e e1 +c6 11 57 7b c4 d0 7f f4 56 b2 43 98 32 90 8a 3d +cc 4f c0 99 04 72 fd a3 cc 61 11 93 0b 99 79 5d +60 c0 e3 78 88 e8 7c e0 0b bf 3c 1c f3 07 f9 e1 + +# PKCS#1 v1.5 Signature Example 2.10 + +# ----------------- + +# Message to be signed: +d6 83 9e e6 d0 74 50 32 7e 09 a0 3e 1e c2 80 e1 +c8 d1 15 00 dc 39 0a 49 a9 c9 82 87 49 c3 e9 a4 +be e2 ba 57 6f 6d 12 17 a8 e7 85 4a 90 7e eb 93 +df ff 92 30 8a d0 d9 4e 2b 38 1f 92 b0 e8 4a 47 +1b f1 f3 7a 68 e9 65 f6 58 59 d1 fd fd 6f ea 84 +40 79 c4 03 70 dc ea e2 + +# Signature: +a7 c5 f6 d0 de 9c f8 f4 17 37 f2 3a e3 e8 cf 60 +9a eb cf 22 d5 de 12 13 d9 57 3c b9 44 03 f8 9c +0f 70 88 ff fc 61 10 6f a6 09 c7 37 1a 8d 7e 1b +cd 22 1b c1 ad 94 91 2f ab f2 ff c0 2f 84 84 56 +4c 22 5c 06 9b fc 6d a9 f3 f9 f4 97 4e 08 e1 fe +56 f7 48 ff 79 05 97 90 6a 95 4e 38 37 43 a3 7e +57 5f ef 07 4f 06 0f 3d d1 5b 5e e0 f9 4d ba 69 +d8 6c 99 22 3f a9 c3 a6 1a 8c b2 af 2f ab 1e 04 + +# PKCS#1 v1.5 Signature Example 2.11 + +# ----------------- + +# Message to be signed: +33 84 9c 67 df 9a 6f fa c3 da 90 a8 cd 31 73 1a +02 97 b9 d6 01 0a 03 32 0f 88 45 03 5f c3 43 09 +ad + +# Signature: +1b 87 05 1f 15 91 c8 ae 7e e3 cb 24 26 70 39 a7 +28 40 5d bf 23 1c af 21 f3 24 7f 05 85 8b 2a 51 +65 0b 81 bc 53 77 86 5e 4c 1e 8f d0 36 41 52 a1 +6b c5 8f 7d 2a c0 1c a6 79 cc 49 dd 04 89 03 d5 +5a d0 5f 10 2c 74 b3 60 1f 25 ad 30 62 40 25 c3 +0b 6f 0f 79 11 fc 22 45 8e 5d 43 5f 38 8e 3f bc +49 5f a0 c6 10 c1 29 8f 82 1d a5 38 40 3a 93 36 +4d 2e ab f1 e3 b3 2f 81 10 a7 e0 3e 37 2e cb c5 + +# PKCS#1 v1.5 Signature Example 2.12 + +# ----------------- + +# Message to be signed: +b3 da ba ca 20 59 a7 0e 25 cb dd f4 aa 59 25 99 +57 54 ac e4 3c 5d 60 36 40 48 9a f4 8f ea 6e dc +4e 19 cb ee a2 c0 db 62 ae 0a 10 4c 72 e4 cd 56 +cb 53 2f 4f e5 77 b3 6a 81 98 b4 87 9d 7f f8 04 +26 90 f6 62 77 3f 3d 63 93 f2 58 98 d2 + +# Signature: +26 f1 37 70 26 3f c5 bd be ad f8 8f b4 dd 30 7a +38 95 9b 16 f3 df 94 6a de 86 4b 1e 7e 91 4d 36 +4e bf 9a df d8 6a 70 02 2d c6 1b 43 fb 1f df 86 +96 97 8e 2d 1f 6a 2d ef ee 75 ad aa 69 a3 95 32 +07 40 50 be 70 8e af 03 1d 5f ae 0f fe 24 5b a4 +ff 3c 5e 34 0a f5 df ec 6a 4c ce 0e 18 87 6c fc +13 66 ee ed df ce 0f 83 5b 38 e8 18 81 b1 fc 58 +32 93 0f c7 9b 08 f1 fb 34 fb 22 42 33 f4 c4 68 + +# PKCS#1 v1.5 Signature Example 2.13 + +# ----------------- + +# Message to be signed: +09 91 12 fa e7 40 88 8c ea ac 70 54 d5 97 35 1d +79 e1 59 a9 58 d8 12 15 78 e5 2c 83 7d b3 54 3c +fa 6f 8e 7f 1d bd 2a 61 97 86 45 a4 d3 85 b9 bb +1c 60 bf b1 1b b3 c8 75 2a e3 1f 99 6d bb 52 62 +8f 93 d5 26 94 f1 82 e6 90 35 a5 e5 57 ec 71 82 +62 f4 03 df 52 11 f7 3c 6d e0 d5 5a 0b a7 + +# Signature: +8d 8c 8f 3a 86 f4 9e db d1 25 c8 3e bf 6d 52 e7 +65 16 15 01 48 21 54 59 8c 28 3a be 94 02 77 87 +2b 00 d0 77 7c 2e 69 7b 78 83 cc 32 1e 15 1c 80 +11 6f 9f cd 17 7a c4 c7 de dd f0 3c a1 b2 c5 93 +31 dc 1c 8e 94 7f 1e b2 aa ee 8c c9 41 dd c5 f3 +74 a6 3d 6c 99 38 ec d8 e8 8c bc ec 58 92 9c ff +dd ef 0b a2 17 58 85 a8 0d c4 cd 92 d6 b7 9d 9c +6a 81 69 6e 16 f9 a8 3a 10 ca 8e fa f1 97 5f 55 + +# PKCS#1 v1.5 Signature Example 2.14 + +# ----------------- + +# Message to be signed: +aa 17 e6 bb d6 db 19 e5 4b ee 1a 7f 0e dc ca ce +ab 63 5d 76 28 fc aa 18 ec fa fc 40 1c b3 fe b5 +1f 9a 37 31 f3 80 2c be a8 1c 73 30 28 c9 58 4b +6b 78 e2 05 59 54 cf 91 04 da a6 77 aa 40 be 9b +7c 65 b0 7a c4 a8 bf 25 c1 14 9e 05 47 35 cf 3c +e3 32 d4 29 bc 73 80 24 45 df b3 68 8b b8 19 48 +b5 7e 27 6a f3 24 62 f7 ad 80 4d 50 c9 3b c7 e9 +ef 75 37 69 5a 27 1a f7 2e 4b d4 7c e5 fa 9d 62 +f2 da c0 33 36 23 f4 9e b9 d6 d7 80 34 ed 1d f6 +e1 2b fd 04 26 1b be 5c e0 40 e0 3e be 25 8d 2d +05 2a 12 ad 4e 3b f2 53 04 23 01 c7 64 58 ed 91 +0c 5f fa 70 5c 74 7a d8 ca 0c 1c 62 28 da 2c 97 +e1 38 + +# Signature: +64 4e a0 76 21 4d bd dd 30 05 5d 7c 56 18 92 27 +9b 46 ba b1 e1 22 53 42 4c 28 f4 49 e1 72 64 6a +f3 49 8c 7a fc bf f7 68 e0 46 a7 c2 e3 d9 c0 e7 +12 8f 87 7b 92 19 5a a2 bb 9f 1c fb df d1 5b b6 +5f bd 23 ef b2 94 fb b1 1a 3c 66 05 6d 60 63 85 +3b b2 3c 27 46 65 a1 3e f4 f3 c1 2f 59 21 a4 19 +e9 49 b3 0c 0b c0 d7 7d 6b 28 69 1d 23 64 d9 5b +f6 8b e8 d5 97 8e f1 bc 98 52 a4 f0 66 04 47 4a + +# PKCS#1 v1.5 Signature Example 2.15 + +# ----------------- + +# Message to be signed: +28 24 9c 38 7a 06 14 40 e9 86 38 e1 ed 78 a4 86 +51 30 e5 75 33 d7 89 10 8c 63 e1 5f d8 01 9b ad +2c d1 a7 55 2b d8 af d2 06 d9 78 eb 1f 2c f3 f2 +3a fc 4b 34 e6 dd 7f 69 c1 fd f4 fe c2 52 68 d1 +86 55 51 94 49 22 90 6d ce 6d c4 41 f9 4a 46 6b +f8 39 1a d8 2b f5 94 0e 44 71 10 f1 d1 5d e1 29 +31 29 fb 44 24 a1 71 75 19 d6 d4 28 d6 6b 7a 10 +91 42 ac c9 15 f1 ea c9 6d ef 2c 32 90 b0 1d 05 +99 0b f8 02 3a 6a 64 71 2f 63 13 7a 8e + +# Signature: +57 02 06 06 69 ed 47 bb ca 11 b9 16 68 28 9e a3 +f5 e7 46 ad 2e 38 6d d1 bc 2a 8b ab 17 46 ba 2a +64 bf 15 b3 fc 2e c8 b0 cc 99 d8 54 fa 32 11 c9 +55 c4 55 d7 ff 2e 1e e2 39 f5 4f 38 6a 42 bb 25 +40 a8 75 8f 32 97 e5 52 de 1e be 8e ac 70 f3 54 +87 94 2b ba da d5 bd 95 73 90 ff 17 93 af 3d 30 +d9 36 b6 f7 9b 44 a9 b6 3c ee 62 d5 58 4d a3 a1 +fc ff a5 b6 fe ee c1 1c d6 3b 18 0f 0b fc 5b 6b + +# PKCS#1 v1.5 Signature Example 2.16 + +# ----------------- + +# Message to be signed: +e4 91 a1 56 fd ba 31 6a 2a 20 a1 2e ea 50 be 77 +4e c9 aa be b1 c3 98 e9 08 be a3 29 68 21 7e a4 +1e 96 6d b7 27 2f 0e fa 37 c9 0a e4 e9 f3 86 21 +a6 27 a9 d1 2c 8b 4e 80 60 c5 45 c5 60 59 e9 e4 +8a 7f 16 81 36 72 47 33 58 19 ba 12 7e 65 93 1e +1d 9f b7 0d fd df 4c 99 56 a5 b0 4c 52 bc f8 cb +df cd f2 29 19 64 da fa ca 7e e7 0e 80 a2 75 9c +ec 73 5d 01 ac a8 ff 89 4b 68 9b 93 78 3d a8 93 +9c 62 09 dd 68 3c 60 + +# Signature: +9f 20 5b a9 0d f2 d4 01 49 26 48 1f 9b 3f 45 a8 +9d 23 ec d8 4f 5f 16 e6 73 34 c4 ca f3 f3 b9 c2 +01 a7 98 d4 ee c5 62 76 59 88 23 18 0e 07 8d 0a +ef 4f 8f ba 0b 25 c1 fd a3 e3 36 54 c4 74 a9 c1 +1a 23 b0 87 10 91 3d ff 76 56 f0 e7 ee 22 cc 44 +c9 99 c0 95 a6 51 4a 9d 2f c0 ca 4e f2 08 de 0d +92 93 b0 c5 60 8b ae d1 07 4a 0c fd 57 b9 9e f8 +ce ab fd 34 72 b7 db 3a b9 60 6d 13 f9 bb 43 9a + +# PKCS#1 v1.5 Signature Example 2.17 + +# ----------------- + +# Message to be signed: +06 ad d7 5a b6 89 de 06 77 44 e6 9a 2e bd 4b 90 +fa 93 83 00 3c d0 5f f5 36 cb f2 94 cd 21 5f 09 +23 b7 fc 90 04 f0 aa 18 52 71 a1 d0 06 1f d0 e9 +77 7a d1 ec 0c 71 59 1f 57 8b f7 b8 e5 a1 + +# Signature: +45 14 21 0e 54 1d 5b ad 7d d6 0a e5 49 b9 43 ac +c4 4f 21 39 0d f5 b6 13 18 45 5a 17 61 0d f5 b7 +4d 84 ae d2 32 f1 7e 59 d9 1d d2 65 99 22 f8 12 +db d4 96 81 69 03 84 b9 54 e9 ad fb 9b 1a 96 8c +0c bf f7 63 ec ee d6 27 50 c5 91 64 b5 e0 80 a8 +fe f3 d5 5b fe 2a cf ad 27 52 a6 a8 45 9f a1 fa +b4 9a d3 78 c6 96 4b 23 ee 97 fd 10 34 61 0c 5c +c1 4c 61 e0 eb fb 17 11 f8 ad e9 6f e6 55 7b 38 + +# PKCS#1 v1.5 Signature Example 2.18 + +# ----------------- + +# Message to be signed: +31 1c 88 80 05 35 d1 b4 e9 bc 78 65 18 31 a3 e9 +67 e7 4b 58 28 e0 14 11 5f be 5f 60 9c e8 65 fe +d2 41 97 0f 87 2e c8 f2 3d c2 bf 61 6b 80 20 e4 +45 64 f9 34 dc bf 72 38 61 70 07 4d 92 0b a8 95 +d3 3d df 27 93 69 f2 36 a1 9a cd 4f eb 2b + +# Signature: +89 46 63 e6 3e c1 9f 56 20 3f 4a 44 6b 5e 2b 51 +74 c8 14 a5 4c be a2 c8 e2 98 f9 9b 34 c4 bb c2 +c8 b1 77 ba 98 57 d8 1c 85 44 36 bd 99 af 58 c0 +9d de 5a ca d2 d6 41 50 43 fb 40 e7 84 75 ef 74 +01 2e 4d 4f 75 b2 e9 58 85 c8 51 a2 3b 4a 25 54 +93 f3 0c 17 2e ae 01 d4 79 10 fa bd 26 9f 57 94 +0b a4 43 50 6c 05 22 bf 72 8a 25 7a c1 07 3b df +99 b4 29 56 db 00 2a 30 a5 4d bd af 28 4d 8f 69 + +# PKCS#1 v1.5 Signature Example 2.19 + +# ----------------- + +# Message to be signed: +b2 65 a9 77 7f aa f1 58 a8 08 aa e7 08 5a 83 e7 +07 9c ef 80 d5 fc 9d 7c dc 96 3e c9 + +# Signature: +28 1e 88 ce 19 0e 98 62 90 34 36 a8 6b a4 37 27 +16 44 9c c0 ce 8d 55 4f 70 2d 72 52 a0 67 60 af +42 12 1d d0 9b f6 ea 13 f0 eb 25 2e cc 76 42 10 +61 f5 74 4b d8 e3 2c 5a 8c 4f c1 f9 52 1b 3f 5c +29 14 6d d0 59 12 91 ac bd c5 b6 3b 55 1d 22 8a +e5 38 95 b1 97 e6 e2 7a 70 68 aa 31 03 b7 0c fb +30 f4 15 84 5c 7e 52 87 f1 11 4e 4c df b4 01 ed +51 98 64 cf 61 bc 46 9c 66 69 9b 29 60 a0 af f2 + +# PKCS#1 v1.5 Signature Example 2.20 + +# ----------------- + +# Message to be signed: +7c 43 9e 7a b9 90 cd ef 95 6c 42 39 47 9b 49 da +84 2f 8b 76 76 5a 7a d4 89 7b c1 6c 61 ed 3d 09 +80 5d 76 e8 a5 be 8b 57 8b 95 1f 45 45 df 92 a8 +a5 37 ba 3e 2c 13 dc e0 a0 03 e7 b6 24 9e 32 be +94 1f 21 cd a7 25 b8 04 07 be 1e 28 bb 9e 39 37 +38 32 53 56 ec 21 74 1d 5c 86 f3 c2 b4 f7 b9 47 +af d5 6b 2d 3a ec + +# Signature: +6a fa d7 7a 05 6d 07 29 05 86 e9 13 80 9a 04 37 +d3 9a b3 07 32 45 12 b2 f5 bc 2b af 58 0b f4 55 +43 eb 04 ff 83 e9 63 a6 d7 f3 3e 9d ff c1 fc f4 +24 48 c5 fc fa 47 27 19 c6 51 f8 1f 3c 62 22 98 +3d 38 91 7e 29 b4 84 85 87 9c eb b0 a6 1d 38 9e +23 8c 9c 71 c3 68 ed e4 08 3a 94 62 97 f7 19 0b +4c ef 86 7e 9c cd a8 f9 ff c6 19 84 fc f0 5d 4f +ba fe 10 7d ac f5 b1 dc 8e 2b 14 95 b2 44 f8 e7 + +# ============================================= + +# Example 3: A 1024-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +b5 d7 07 b7 92 e0 56 f7 2f d7 6d 8d a8 89 a5 3c +e4 d8 eb aa 08 2a ee b2 30 32 e3 c5 d8 eb c4 c1 +55 61 31 9b e8 df e1 88 99 1a 89 51 d4 b2 3a 51 +e8 a9 38 2c 80 5e 4c fd 49 0e bb ce aa 20 80 2a +d6 83 b0 5a 10 0f 29 98 5f 01 1c 3c 8a 44 26 25 +52 d8 3d 9a 1b 7c 27 31 5e 14 4a d8 df 5c be 8b +c6 40 0f d9 cb e7 6b 74 21 d7 08 aa 64 f0 40 ba +e0 7b 7b d6 f9 22 18 f9 a7 29 28 4c c5 98 cd d1 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +b5 d7 07 b7 92 e0 56 f7 2f d7 6d 8d a8 89 a5 3c +e4 d8 eb aa 08 2a ee b2 30 32 e3 c5 d8 eb c4 c1 +55 61 31 9b e8 df e1 88 99 1a 89 51 d4 b2 3a 51 +e8 a9 38 2c 80 5e 4c fd 49 0e bb ce aa 20 80 2a +d6 83 b0 5a 10 0f 29 98 5f 01 1c 3c 8a 44 26 25 +52 d8 3d 9a 1b 7c 27 31 5e 14 4a d8 df 5c be 8b +c6 40 0f d9 cb e7 6b 74 21 d7 08 aa 64 f0 40 ba +e0 7b 7b d6 f9 22 18 f9 a7 29 28 4c c5 98 cd d1 + +# Public exponent: +01 00 01 + +# Exponent: +45 17 92 b5 94 47 cc 93 78 a8 a4 d6 45 fb 22 ff +4b bf 06 70 61 51 1a c8 36 db 27 43 a6 24 13 6b +18 6b 69 43 a1 cc eb 6f 91 29 0d 93 3b bb 8a c0 +53 a4 74 95 28 23 6c a2 72 cf 77 d9 d3 37 ad 2a +b3 6a 87 a9 15 3c 5e 16 71 6e 09 ba 0b ea a6 4b +31 25 26 d4 a8 c2 dc 68 fe 09 e3 7e 50 74 a0 90 +9d 3f 04 ab 73 90 8a 98 0d ec 1d a7 eb 45 05 a4 +8b ca d3 b6 0d 01 60 84 58 64 a6 51 1f f5 59 a7 + +# Prime 1: +ff a9 f8 e8 b0 82 17 0b 63 73 f0 0d 73 c4 23 86 +d4 02 f2 80 8b 39 3b 32 f7 8f 86 ea f6 4b 21 bf +dd 33 4f b9 aa d1 6b a6 d9 da db c8 94 3a 29 e6 +63 c8 b3 9c 09 59 69 02 5b b9 b2 d9 d6 fe 67 b7 + +# Prime 2: +b6 14 37 8d 5e 3d a5 a8 0a 6d 73 52 fc 66 a5 64 +59 7b 06 8f c9 d3 af 5d b0 e4 e7 35 be f8 81 dd +40 17 ee 70 82 96 19 0b 6f dc 84 04 f0 7b d9 dc +5c d5 d2 be 48 86 a7 cb bc b2 1d 8c 3d 64 a6 b7 + +# Prime exponent 1: +51 0e 68 96 0d 70 11 32 51 23 ae d5 f5 00 18 6b +64 c8 52 6e 22 b5 d0 69 06 48 00 f4 79 85 b4 7b +89 fb fc a8 d6 d9 72 92 01 bb fb b6 8a 18 2e b4 +96 aa 49 17 8d 77 45 6d b3 fb 1a 13 2a b0 99 dd + +# Prime exponent 2: +57 eb bf 3f 76 48 52 5b a8 5d 5d 98 ae e4 69 ec +e1 00 75 14 ad a2 98 45 a7 8b 80 d2 05 1b 3e aa +35 ae d8 a6 5f 88 57 23 9c aa 60 dd 79 ba 74 62 +e2 39 26 00 58 49 1d 71 55 f6 b4 29 e9 e3 56 55 + +# Coefficient: +ee 10 7d c7 ef ec e9 a6 5c 0e 87 78 9a f5 59 0c +93 83 9d fe 82 85 20 da 17 74 ff 80 f7 e5 14 55 +7f ff 10 bd 8c ae 18 46 ef ee 7c 10 d7 a1 2c 4a +05 5c c1 36 e4 a4 ef 25 fd 3e d9 d0 cd df 74 f9 + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 3.1 + +# ----------------- + +# Message to be signed: +98 6e 7c 43 db b6 71 bd 41 b9 a7 f4 b6 af c8 0e +80 5f 24 23 48 8f b4 31 f5 ee 79 2b 6c 2a c7 db +53 cc 42 86 55 ae b3 2d 03 f4 e8 89 c5 c2 5d e6 +83 c4 61 b5 3a cf 89 f9 f8 d3 aa bd f6 b9 f0 c2 +a1 de 12 e1 5b 49 ed b3 91 9a 65 2f e9 49 1c 25 +a7 fc + +# Signature: +62 75 e8 73 97 e3 09 2a ab 36 98 bb 1b 5c f2 4b +8c d7 71 2b ec ac 35 e3 22 03 d5 43 14 e5 47 0e +a9 aa bc 86 57 f5 64 34 e5 af 9f ae 77 8f f6 04 +5c 20 e2 e1 ef 7c bd f8 8f 00 75 f3 3e a9 92 77 +7c b7 e9 2f 7d a1 8a 0f fd 00 aa 46 71 ed 63 91 +1f e9 e9 2f b4 a7 6e 77 dc 6e 0a 91 65 76 71 6c +15 ea ef 08 9a 71 a0 ae a3 5b ed 94 47 a6 c1 7f +2a ad b7 27 fd 42 f0 ac c8 24 62 38 1d 9f a2 ef + +# PKCS#1 v1.5 Signature Example 3.2 + +# ----------------- + +# Message to be signed: +4c 7b 98 12 0c 87 50 90 87 c4 78 + +# Signature: +59 e5 cb e7 33 1b 92 e0 cb 8f 68 9e ae bb 30 f2 +b3 34 a7 46 a6 57 05 59 12 ff 1c 92 76 0b 0b 85 +bc 42 82 f3 18 4b 9a 81 4f 44 37 f8 25 ae 07 d3 +56 ba c6 9e 54 0c 90 94 2c 7f 7e 6f f4 4f e5 74 +f1 21 25 0a d2 30 f4 b5 0c 78 31 1e 4f d3 c9 e2 +65 f5 17 ce 32 97 c3 e1 dd db 5c 86 9c 69 8f 44 +af 52 5e 73 64 01 a8 1b 45 9f 19 8a d1 80 8c cd +92 9d 49 04 74 ca f7 00 5f 91 0d ac de 21 b0 77 + +# PKCS#1 v1.5 Signature Example 3.3 + +# ----------------- + +# Message to be signed: +66 f7 07 54 22 c8 ec 42 16 a9 c4 ff 49 42 7d 48 +3c ae 10 c8 53 4a 41 b2 fd 15 fe e0 69 60 ec 6f +b3 f7 a7 e9 4a 2f 8a 2e 3e 43 dc 4a 40 57 6c 30 +97 ac 95 3b 1d e8 6f 0b 4e d3 6d 64 4f 23 ae 14 +42 55 29 62 24 64 ca 0c bf 0b 17 41 34 72 38 15 +7f ab 59 e4 de 55 24 09 6d 62 ba ec 63 ac 64 50 +32 7e fe c6 29 2f 98 01 9f c6 7a 2a 66 38 56 3e +9b 6e 2d 15 ef d2 37 bb 09 8a 44 3a ee b2 bf 6c +3f 8c 81 b8 c0 1b 7f cb 3f eb b0 de 3f c2 5b 65 +f5 af 96 b1 d5 cc 3b 27 d0 c6 05 30 87 b3 96 80 +e4 92 a4 ab 23 67 47 11 69 e5 28 38 94 5d ba 9d +d7 72 3f 4e 62 4a 05 f7 37 5b 92 7a 87 ab e6 a8 +93 a1 65 8f d4 9f 47 f6 c7 b0 fa 59 6c 65 fa 68 +a2 3f 0a b4 32 96 2d 18 d4 34 3b d6 fd 67 d0 0b +25 b8 1b 09 b5 62 03 85 64 + +# Signature: +59 9e 69 c1 54 e4 fe 66 b3 6a 69 04 92 fa eb b2 +bb e7 34 e0 41 5d 9f 3c f7 e3 78 28 f5 3e 61 13 +04 49 17 3a 33 46 0c 6b 4c 8d c7 d6 81 ca 6f 4d +af 1c b8 16 d4 0a a9 08 2e e1 93 7b e4 bc 6a 09 +c6 de 79 8c 82 86 fc d2 a2 b2 19 6c 59 99 4c 93 +7f 37 13 07 52 61 2c 6b ff 6d bb 53 e0 64 7f 88 +58 bc 38 38 64 02 1e 6d 56 68 19 20 24 92 97 82 +22 46 a0 f5 28 aa b3 ed 18 5e eb ce 91 9c f8 3e + +# PKCS#1 v1.5 Signature Example 3.4 + +# ----------------- + +# Message to be signed: +d9 34 44 28 fa 8a 58 f8 fa 7b 44 3e 51 fc 9b 51 +e3 7a 70 21 0d b8 bd 1d e7 f8 67 5d 84 79 ff 65 +7c a7 29 55 b2 3c 6f 4a 09 16 37 9a 4e de e1 f2 +6c 85 e0 52 90 21 1e eb 25 83 2b 09 cb e5 ea ed +3e 39 65 b0 5a 52 fb 5b 16 49 11 82 c5 91 3c b1 +82 57 48 e8 1a d0 14 f1 3d 29 6d c1 69 57 08 2b +1b 83 b4 be 50 a0 f9 59 c9 e7 f3 aa 80 77 97 2e +2b 93 c2 ef fd 9f 30 86 25 b8 ca 7f 54 d7 b6 96 +48 79 04 47 ac 91 f7 98 5e 51 0d f7 0d 6e bc 35 +72 c2 05 e6 + +# Signature: +2c 06 01 65 fc c5 65 5c 06 57 c8 fe 08 e0 5b dc +8c d7 7c 1f ec b6 d1 8b 89 38 11 c9 9d d0 91 e0 +d8 50 6d cc b4 9e 33 da af f6 da 96 7b 99 e3 44 +cb 17 fa 3c 96 31 29 9b 35 89 81 8b 37 ed 9d 5d +78 94 e4 a6 9d db 24 83 2e 1a 88 60 01 4e e5 e5 +eb 95 3e 8b 35 48 4b a4 fe c9 c3 03 3a e2 e1 18 +9a f7 94 a7 2e 42 67 21 5b fe 45 8f 0f ce 6b 37 +a5 54 9e f8 05 43 d0 d4 1a 87 b2 c6 e4 d8 4c b5 + +# PKCS#1 v1.5 Signature Example 3.5 + +# ----------------- + +# Message to be signed: +8c 67 02 da af 58 f6 a4 75 fa d2 c7 a4 bb 15 6a +57 06 42 55 77 d5 e3 0c 6a 6b d3 66 9f d0 30 af +d7 89 fa a3 d0 10 18 d4 5d b2 a0 47 f5 2c b4 f6 +3d ea 36 09 42 af e4 76 26 42 06 d9 83 ad 38 36 +e1 55 c5 6b 2e cc 08 76 3a fb 9f d5 1d 19 99 0e +fc 33 63 f6 57 e2 85 e0 35 21 e8 ca d0 1d 2c 93 +5a 18 3a e2 3f 0e e8 71 00 86 a8 5b 9f ad 4e 7f +2b 09 45 2e bc 40 3c e0 c0 e5 75 5a 7b 2f 33 f4 +de f0 db 71 c9 79 31 ff 90 4a 81 31 99 84 bd c5 +16 6f 6b 92 0c 97 ee 74 fb 7e 89 0f 49 0c 90 de +30 ca c9 76 b7 17 23 e2 f8 6e 9d e1 d5 03 a4 1b +c8 1d 53 cc be f8 ac 40 53 57 d9 df df 30 64 66 +b4 26 95 80 21 2e 9d 71 32 + +# Signature: +0d 89 fc f8 44 a9 dc 22 3d 5f 63 8d cc 3a 59 78 +71 6f 26 28 b8 a8 3a b3 3e 6e 25 5f f8 aa 01 57 +8c 14 e3 89 7d a4 5a ef d6 3f a8 7c f3 5e 24 4b +f4 82 8e cd 21 95 0f 30 85 a3 66 21 c9 da 1b be +7e a6 27 31 c6 8d 4d e0 a3 76 e2 2d ac 2f 54 8c +d4 ba 4a 54 2e 71 0f 55 ce 85 a9 c1 95 93 c0 8c +87 d2 96 d6 35 87 b3 fe 2c 5d 11 65 ee 27 74 4c +75 d8 f4 f1 43 71 63 7c 0c 0a 44 62 76 28 95 83 + +# PKCS#1 v1.5 Signature Example 3.6 + +# ----------------- + +# Message to be signed: +56 f4 ff d1 27 9d cf e5 62 a9 dd d4 1e cd f6 0a +3f f5 82 46 bf af 95 65 cf 67 4b 0b 90 75 f4 0e +ea c0 8f 0b 89 66 61 8a 19 6b 12 28 eb ce 93 fc +9d d7 9b d4 63 ea 7d 2c 97 4d 2c 2f 53 9e af b1 +b2 bc 1e a3 4d 74 f7 20 e1 19 34 2f f7 13 12 25 +aa 9a da 89 4b 76 b2 ec b1 2f 2f 40 28 44 b4 42 +5c f8 f1 a3 9b 0a 9c 83 b4 5b 03 cf c0 d1 5f d3 +14 d6 ab f5 32 b8 ed fc f2 36 51 4b 2e 45 86 97 +86 fe fe 27 f5 4d 66 6e e5 24 e4 b9 c0 53 be 39 +75 01 58 29 91 fa 2d 80 2c 7d 1b 17 8b 23 e9 b6 +ec e6 fd 2e f0 13 2c 06 01 a8 6f 07 68 ba dc 59 +c5 cc 33 f2 4d ed 55 4a e5 1a e3 ec 23 f9 dd 08 +9e 32 4a 68 21 f6 15 7f 12 84 42 ac 58 07 65 8a +d3 40 26 b8 fc fd a6 dc 7f 02 a9 3c 16 6e c9 45 +ee + +# Signature: +0d eb 39 7b f2 cf f9 79 d4 71 9c 64 8b 0a 35 25 +35 1f 5e 08 40 5c a2 61 4a 83 e5 6a ce 86 f5 52 +e4 1b b9 28 de 50 f0 bc 0f e3 1a 2e f2 ad 79 9f +d3 cf 47 42 b1 13 1a 37 bd 08 f2 a1 3c ac da 67 +f4 95 c9 f1 a9 ef 64 85 70 72 32 9f 00 cc 4c 01 +22 35 59 9a 83 fc 45 94 fe d9 23 03 49 01 ed c2 +7d 5f 05 79 98 34 93 5c ab e2 64 ff c1 96 63 71 +4d 8c 3d e8 e9 61 9f d2 84 2d 22 98 f7 a7 2c 99 + +# PKCS#1 v1.5 Signature Example 3.7 + +# ----------------- + +# Message to be signed: +0e 79 ac 9c 9c 03 96 d9 69 fb 3f 7c c9 94 7b 07 +8b ac 49 3b 03 52 c8 e0 cd e5 46 3e a5 c1 18 4f +d5 2a 1f b7 48 19 3c 14 7a 74 80 0d 24 f7 51 ba +93 5e 19 c9 11 5e df 07 22 88 33 0b f3 83 f4 95 +29 6b e1 aa 4a 50 95 b9 57 3b cb db 22 8a 43 13 +12 37 86 5d 26 df bf cf ef 07 8f 35 9f 9a 95 62 +e2 5b 69 63 85 e1 28 13 ff fb c8 d5 29 81 9a 91 +45 1d 33 a5 07 26 39 2e 4f ef 29 41 8c ca 2c 73 +a0 68 e6 0e ae 31 84 70 33 1a 0f 1d b4 bb b6 37 +17 3b e8 0f ea 03 c8 2c 15 d0 01 93 36 2d 3a 18 +ad 9e 2f 68 05 00 d7 26 5b 15 57 03 3a 52 09 77 +d8 10 fc + +# Signature: +73 3b 7f ea 12 0c a5 f0 35 9a 89 05 75 0c 49 c3 +63 d8 84 f5 6c 2b 7a 72 9f ad 7b ff 44 5a 1e 54 +79 89 41 74 53 93 e1 76 77 12 ac 4b 9d d2 68 38 +88 d9 e6 8b 90 5d ba b8 79 21 85 18 48 72 73 86 +02 ea f4 a8 0f 45 95 f7 8f d4 a4 61 0b f8 22 0b +86 a2 88 5f da 24 e1 99 64 28 cc d1 5f 20 08 e0 +68 51 b2 ee ad c3 dc 8e 03 01 2f 9b db 3c e0 57 +5d dc 3a dc 7c 59 08 49 8b 69 a7 97 ba 58 29 c7 + +# PKCS#1 v1.5 Signature Example 3.8 + +# ----------------- + +# Message to be signed: +22 eb 7d ba 73 30 7c 7c 52 a0 7c ed 89 db 8b c5 +39 4a ed 22 72 f7 e8 1a 74 f4 c0 2d 14 + +# Signature: +9e a4 60 0a 1a 65 49 fd 39 75 f6 49 8a 04 d6 9f +96 fa d0 e8 e6 fe bc fb e0 1c 2f 83 17 0b c7 4e +b9 1f 2e 33 53 38 d5 83 e8 85 aa c6 14 24 c9 b2 +66 c3 d2 d9 8e 79 77 ff e4 95 f9 c1 a6 ee 5e f4 +1a 4c c7 47 8c 24 b3 16 c7 d9 f6 db aa 65 a4 ca +de f1 81 ca 94 6f 9b 92 18 4f ae ca 8a 13 16 ae +ab 5c d3 87 8c 6d f0 74 f9 06 0b 9d b6 6d ec e9 +a9 36 7d 75 49 03 5a c6 bf 19 62 36 5e 1f d3 fc + +# PKCS#1 v1.5 Signature Example 3.9 + +# ----------------- + +# Message to be signed: +f6 80 + +# Signature: +51 63 90 61 fa 7b 7c d5 df 64 b3 0a 39 4c cf 7e +24 26 97 2a a1 dc f5 d4 5e b8 ec 2c d9 0b 9b 19 +68 92 be 5f a0 3c 43 f3 c3 72 3a e3 13 0d 61 51 +b3 3a 63 7c fc 50 ba 35 26 a7 39 6c f8 47 9c 50 +8c 18 11 81 0d 68 b3 88 0a f6 e6 4b 16 bd 70 79 +be 9c 00 39 29 51 22 61 89 8f a5 7c 06 ff 7e 1d +80 39 fa 99 3f d2 05 6a c7 01 9b 8d bc f2 53 0d +53 80 e6 01 a4 a1 87 1b 86 c2 0b c1 c4 89 c5 f3 + +# PKCS#1 v1.5 Signature Example 3.10 + +# ----------------- + +# Message to be signed: +65 0e 64 ed 1d a8 8b cf 8a e2 75 22 be 1d 5c 99 +19 f2 09 9d d6 32 45 5f 66 d9 af e8 ba f4 6c c8 +a1 98 40 9b 09 28 dd 87 22 62 84 d6 69 bf 01 bc +ec 44 37 6c b0 e9 bd c6 86 ac aa 8b 46 34 86 08 +59 94 ca fb 5a 8c fc 33 d4 9c ee f4 79 fc 6e 04 +f8 ee f6 37 eb 68 cb 57 81 8d 5f 97 70 ac 52 3e +d5 b0 16 38 36 7f f4 7f + +# Signature: +50 3e 05 66 1d 68 1e ca 57 4e 02 30 af 2d aa 87 +7b 90 51 6e 5e 19 72 8c 91 76 8d 6e ef ee 00 1b +35 41 9c 5f cb 56 11 d6 0e 7e cb e3 c9 5e 5c 88 +ba 93 46 07 04 f1 69 4a e8 04 44 eb 97 18 a0 8b +66 86 fa d8 6e 52 59 90 c3 c1 a6 6c 8c 53 aa 31 +ae d8 cb c4 0f d5 4f 5f f8 a1 34 74 9d 79 d3 8f +bb 0d 58 44 26 78 ff 2f 70 c6 c5 0f 25 47 2a 72 +d6 32 05 e7 82 42 3d f4 0b 6c 43 de 03 a1 8f 8b + +# PKCS#1 v1.5 Signature Example 3.11 + +# ----------------- + +# Message to be signed: +57 f8 ac 6a 9e 46 8b 7f 1f 74 5d ff e3 9e 9c bf +90 24 a0 ff 36 e0 22 83 92 be 6b 29 94 29 17 76 +b8 9c 0a 4b 1f a8 6b 2e c8 bb 7c 3e 64 f5 58 5a +fa 77 + +# Signature: +90 be 16 b4 08 b3 85 73 95 39 b3 b9 a2 9b 94 c7 +29 38 5f 79 dd 4a 79 81 1e 6f 67 c8 0e d3 59 e5 +f4 b2 a1 9c 22 2a 82 b3 d6 d6 2a 90 3f b1 80 c1 +f4 3c b3 fe 06 a2 50 bc b0 e7 c6 88 66 5c 83 68 +a1 1a b1 16 0a db 74 02 91 35 2b 38 38 b6 92 3a +4a 37 ad 06 04 0a 53 59 20 dc 0f 10 57 9e cf 48 +1c d4 41 37 17 d7 d4 d9 60 aa 75 1a 74 3e 2f 7c +61 6e 54 2e e6 5f bb fe 24 66 0e 10 1d aa 2b dd + +# PKCS#1 v1.5 Signature Example 3.12 + +# ----------------- + +# Message to be signed: +80 ef 01 aa cc 5b fb 0d b4 8c 6d e3 d8 14 95 b9 +c2 31 1a 38 93 89 f2 3b 70 c0 24 da 44 78 bf ab +2b fe 4e 54 6f 13 ff fd b9 63 89 4e c6 da db 3d +2b 0e e3 37 f1 16 31 05 8e ac 86 09 e5 a1 55 4a +f7 97 a9 f9 ab 47 8c 2d 5b 91 88 c8 25 + +# Signature: +44 c3 f5 1d cc 6f b2 b4 e7 0f 53 7f 54 64 c6 32 +0a d4 2e 21 28 fa df d9 a7 e9 37 cd 65 dc bf 35 +ac 66 cf fa fd 39 28 39 66 f2 f1 5d e5 27 72 35 +50 71 5a 31 04 29 45 e2 00 cc 5c 86 fa ba 5e c8 +ab af 50 9c 0c cd 64 d9 9d ed c7 6e 3c ea a8 c4 +47 17 93 37 f4 a0 77 7b 11 52 6e 47 2a cd 41 3b +4a c7 c3 03 cd cd 84 ca fc 02 52 43 ef 00 6f 79 +dd af 55 c1 5c c4 a8 f1 5e a2 c8 7f 05 77 38 14 + +# PKCS#1 v1.5 Signature Example 3.13 + +# ----------------- + +# Message to be signed: +ac 17 95 91 55 28 3b 0c 7c ff 51 5c 33 15 d8 9b +df e9 58 7c c0 01 20 d3 ab 31 bb 76 07 bd b3 01 +ca ea f5 e1 5f 5a 6f 58 c9 c5 68 ff b3 d2 34 02 +51 6f fe 23 0c 69 81 a8 1c 17 8a 8a 18 ca 33 0b +b8 ec af b4 81 b2 49 b4 66 a8 cf 78 b7 0d 9e 78 +a1 39 a8 8f 48 4c ce 7c 20 35 b2 e8 9d 49 3b de +88 5e 1c de 42 cb 1a 94 49 ff 57 0d cf 9e 33 c5 +cc 77 b2 59 be e2 83 05 39 68 02 ed c1 6f c5 a8 +e1 0b 56 da 2d a7 86 b5 fb 6c 81 2b 2e 17 5b 69 +6b 1a 9a 96 fc 72 2a 43 21 46 45 0f 07 a6 48 ef +3c cf 99 6e f3 08 1f a5 bb 42 21 c9 13 ba 22 28 +97 0c 9b 0e a5 26 6b ff + +# Signature: +48 45 8c 72 f0 67 dd 9a b7 20 ef 16 0c f3 18 4b +b9 80 1e 26 d6 14 a8 89 a8 35 84 41 07 ac 01 65 +0b 11 84 a0 0b ca a7 af 1f f7 de 3a 2e f2 e7 ce +b5 b2 5c 3b 5d 5b cb 29 86 59 34 32 47 48 c6 8f +07 de 17 4e 17 80 a7 0f a2 4d 6a 3a 9f 7a 41 b8 +19 37 c4 98 4b 2c be 06 b3 d7 b4 4c da e9 cb d4 +16 32 d0 09 43 c3 b5 73 b1 aa 29 12 75 0a 9a eb +07 f1 10 13 0b a3 61 dc f8 f5 36 79 0d 60 78 47 + +# PKCS#1 v1.5 Signature Example 3.14 + +# ----------------- + +# Message to be signed: +99 09 8f 77 f6 ed 35 c0 8f ab 3f a9 78 86 93 67 +1a 58 00 dc 30 3c 9c ce 42 46 16 fa 0c 7e e8 88 +86 87 67 4c a8 8a b2 2a 5f f2 d1 2e 2b 38 8b 09 +4f fd 7d bf 9a 09 27 a9 62 17 17 15 1e 08 ec b8 +ad e1 55 9f 4b 48 e2 3d 31 cf 57 cd 38 84 df e2 +b3 e4 b2 60 e8 96 02 94 07 96 94 96 02 6c 74 a2 +18 90 d9 a9 af d2 cb b8 f2 83 0a 56 6a ed 24 f0 +16 19 74 01 a8 cd 22 c8 2f b8 b2 28 91 84 58 24 +0a 23 d1 01 85 eb e7 72 dc 19 bc fe 3e 44 92 2f +e7 32 09 c1 ee 00 40 07 9f b0 3b 82 7c 82 17 d9 +ed 7c 98 c9 5f 30 97 4f be 4f bd dc f0 f2 8d 60 +21 c0 e9 1d a6 0c a2 ad 77 79 7e ce 86 de 5b f7 +68 75 0d db 5e d6 a3 11 6a d9 9b bd 17 ed f7 f7 +82 f0 db 1c d0 5b 0f 67 74 68 c5 ea 42 0d c1 16 +b1 0e 80 d1 10 de 2b 04 + +# Signature: +b4 6a e8 66 13 91 89 b6 b1 71 a7 62 05 fb 9c e0 +41 b4 02 98 e5 ba 92 c2 e9 cc 0b bf bb 4a 76 42 +5d e6 ce 13 02 1a e1 a4 a9 42 29 9f 98 ff 89 f5 +52 f4 3a 90 73 de 64 f4 9c 2c a3 62 0d 09 d7 e6 +e3 fe 28 22 1e 93 68 98 7e 11 0c d6 06 71 06 c4 +db 31 a0 38 90 23 67 96 c8 42 52 f5 6c 95 03 4a +01 c5 fe 98 1e 81 b6 54 85 5a af 27 47 50 11 55 +72 0c 21 93 f3 a1 d1 0f 49 fe e9 0c 52 fe e9 e4 + +# PKCS#1 v1.5 Signature Example 3.15 + +# ----------------- + +# Message to be signed: +ff 79 06 42 30 5b f3 02 00 38 92 e5 4d f9 f6 67 +50 9d c5 39 20 df 58 3f 50 a3 dd 61 ab b6 fa b7 +5d + +# Signature: +07 56 32 47 73 4f 3c 3d 7a 31 02 bc b4 5b b5 68 +15 68 ed 10 f2 ec 45 9e 46 9e 1a 9e 34 09 a1 39 +fb 15 1b 98 d3 f3 b6 2d aa ac 8b 8f 89 16 df 85 +d6 df a9 ab 76 0d f1 e1 5a c8 90 44 e5 79 cf 47 +a1 af 6c d6 ec 70 4c ed 9b 03 4c 6a aa 90 d0 e7 +0e 08 52 14 0e 75 41 f2 ef be 2c f1 90 b9 58 94 +1e c8 b5 97 4f 9c 44 4d 26 c3 43 16 c9 21 6b 65 +95 e6 56 bc 6c 78 44 fa c1 6c 51 52 60 92 8e 78 + +# PKCS#1 v1.5 Signature Example 3.16 + +# ----------------- + +# Message to be signed: +e9 9f cb f8 59 2d be 2d 7e 27 45 3c b4 4d e0 71 +00 eb b1 a2 a1 98 11 a4 78 ad be ab 27 0f 94 e8 +fe 36 9d 90 b3 ca 61 2f 9f 22 d7 1d 54 36 3a 42 +17 aa 55 11 3f 05 9b 33 84 e3 e5 7e 44 52 28 80 +62 af c0 8f cd b7 c5 f8 65 0b 29 83 73 00 46 1d +d5 67 6c 17 a2 0a 3c 8f b5 14 89 + +# Signature: +22 74 64 36 16 4e 63 93 78 71 c1 d4 7d 8e 3e 70 +c9 e5 2d 11 17 31 6b b1 54 cd 55 2e 83 6f 2a 3f +be 6d 89 d6 07 4b 51 b0 15 9c 26 c2 8d f7 5e 3d +7c fb 7c f0 02 f6 5d 1e e5 21 ed c2 c3 a6 5c 52 +6c 98 c7 c0 25 fa 8b b6 31 47 09 16 d3 01 b8 f7 +80 9d dd 91 9d ed 31 a0 d4 66 83 ec 5b b4 41 70 +61 6e ab cd 97 02 05 ed 76 02 02 d0 d8 7a 65 79 +59 08 b2 8d 32 6f 93 62 13 f2 9f eb 59 77 34 91 + +# PKCS#1 v1.5 Signature Example 3.17 + +# ----------------- + +# Message to be signed: +6a 6a 0c 9b 5b 15 bc da 19 6a 9d 0c 76 b1 19 d5 +34 d8 5a bd 12 39 62 d5 83 b7 6c e9 d1 80 bc e1 +ca 4a f8 70 fb c6 51 60 12 ca 91 6c 70 ba 86 2a +c7 e8 24 36 17 30 6f 4f 9a b9 50 11 99 ce f5 5c +6c f4 08 fe 7b 36 c5 57 c4 9d 42 0a 47 63 d2 46 +3c 8a d4 4b 3c fc 5b e2 74 2c 0e 7d 9b 0f 66 08 +f0 8c 7f 47 b6 93 ee 40 d2 e1 80 fa e1 ea c4 39 +c1 90 b5 6c 2c 0e 14 dd f9 a2 26 ba e1 7d 20 38 +5d 50 19 55 82 3c 3f 66 62 54 c1 d3 dd 36 ad 51 +68 b8 f1 8d 28 6f dc f6 7a 7d ad 94 09 70 85 fa +b7 ed 86 fe 21 42 a2 87 71 71 79 97 ef 1a 7a 08 +88 4e fc 39 35 6d 76 07 7a af 82 45 9a 7f ad 45 +84 88 75 f2 81 9b 09 89 37 fe 92 3b cc 9d c4 42 +d7 2d 75 4d 81 20 25 09 0c 9b c0 3d b3 08 0c 13 + +# Signature: +41 93 22 fa ca ce 76 f2 d5 e2 fb c1 9a ab 86 c7 +18 a2 80 64 f1 d7 b4 c6 62 f0 47 4a 87 77 a9 59 +bd 65 69 53 8c 16 08 1c 0f 52 69 8b 2f 00 17 30 +c0 3b 9a 3d 26 94 73 74 c9 61 fd ed a1 15 b6 b7 +da f6 65 18 f1 fe 82 0f 67 c3 ff 12 f0 bc 3f 11 +01 e3 91 1c 43 90 6b 0a 12 7e 50 be 01 40 c5 ef +c4 35 e2 95 7b 44 2e 60 ad 52 5a d7 0a c9 ef 61 +c3 d6 4f 0e 56 6c bc 1f 9d 51 ba e1 d4 72 71 da + +# PKCS#1 v1.5 Signature Example 3.18 + +# ----------------- + +# Message to be signed: +3b 93 ef 4a 55 50 96 69 19 15 dc 23 c0 0e 95 4c +de b2 0a 47 cd 55 d1 6c 3d 86 81 d4 6e d7 f2 ed +5e a4 27 95 be 17 ba ed 25 f0 f4 d1 13 b3 63 6a +dd d5 85 f1 6a 8b 5a ec + +# Signature: +ae 21 1f 4f 77 da 1b e6 af 9c 9e a7 04 db ac 4b +3f 3e 27 0d 2f ac f3 65 1d 78 7d 0e bf 59 a7 9a +39 61 2d a1 2d 57 c4 ac 8a bc 72 8e 1d a3 f0 1a +15 20 fc 9b 32 cb 0f fe 00 8c 80 69 92 8f 83 e1 +35 90 a7 8b 81 7e 81 9f bf 2f d0 58 93 ec e5 b1 +41 86 d9 01 c7 68 e3 42 dc 54 72 23 45 ae 8a a8 +73 8d 4d 59 70 c5 08 54 72 bd 98 99 fa 00 42 cf +14 bc ed ff db c0 ef 50 81 90 75 84 2f c3 6b b8 + +# PKCS#1 v1.5 Signature Example 3.19 + +# ----------------- + +# Message to be signed: +49 ff d5 6b f7 ef c1 13 04 a5 af bc 19 d4 79 24 +90 18 fd f4 e0 9f 61 87 26 44 04 95 de 11 dd ee +e3 88 72 d7 75 fc ea 74 a2 38 96 b5 34 3c 9c 38 +d4 6a f0 db a2 24 d0 47 58 0c c6 0a 65 e9 + +# Signature: +68 fb 0b d5 19 bf 6f 96 e0 76 af 29 01 2f 3c 3a +11 37 c0 98 8d e7 b6 fc ed f4 f5 1b df ee 64 5b +89 7f 17 70 9e 05 ca a0 b1 13 50 0d 90 4d c0 60 +0d 17 a9 ff 8e b0 2e 1e fc 9c 46 7a 24 00 3e f8 +1e 72 74 67 c4 7d d6 56 35 6d 70 37 2a 15 ea 88 +41 21 63 4b 01 5d 29 51 1f 28 95 55 77 99 07 9d +03 c6 d4 de 25 9b 3b 36 2b 80 49 2d 81 bc 9f e8 +54 44 63 ec 03 0b b5 c9 c7 3c 32 74 e3 ed 12 22 + +# PKCS#1 v1.5 Signature Example 3.20 + +# ----------------- + +# Message to be signed: +bc 25 5a f8 9a 6a 19 9b ca 4a 39 1e ad bc 3a 24 +90 3c 0b d6 67 36 8f 6b e7 8e 3f ea bf b4 ff d4 +63 12 27 63 74 0f fb be fe ab 9a 25 56 4b c5 d1 +c2 4c 93 e4 22 f7 50 73 e2 ad 72 bf 45 b1 0d f0 +0b 52 a1 47 12 8e 73 fe e3 3f a3 f0 57 7d 77 f8 +0f bc 2d f1 be d3 13 29 0c 12 77 7f 50 a3 34 db +6f ae bf 11 08 1a 04 f8 7c 2d 62 1c de c7 93 0b +9b 18 3a 99 04 75 dc bb 9c c7 f3 45 a3 b5 58 03 +03 0c f0 36 1a 5d 80 81 + +# Signature: +41 f6 52 df 79 fd d2 6d e9 5c 7a 98 fa 85 87 13 +fb 56 6d 8b 39 92 8e 71 76 4b 2b eb 19 84 03 e0 +3b 7e 06 dc 96 0c 50 51 57 bd f4 05 92 c4 d7 75 +03 fb 72 a4 e0 05 5f 97 4f e9 39 44 8d a3 68 f5 +3b d2 ef e2 6e 6f 9a 25 4b 3e 87 32 aa d8 16 87 +b3 61 e2 1a 40 cf 3e 5e 92 38 9a 2b 48 9c 05 c5 +97 f0 e1 64 e2 67 70 93 72 00 43 27 16 35 62 dd +8a 0a db bd fe 3b c6 16 bd 08 42 96 84 c2 0c 69 + +# ============================================= + +# Example 4: A 1024-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +d1 31 e0 92 43 37 0d d2 cd 54 25 c8 d0 30 f9 9a +db 10 5b 14 7b 8a 3d 00 67 c6 16 44 3b 7d 4b 96 +82 38 e0 6d bb 5f 20 28 e8 53 57 4b 7c 14 be 10 +83 c1 e5 7e 13 2c 1d f4 a3 a2 71 32 63 fa de 12 +f7 11 4f 43 69 bb f0 56 20 55 48 41 33 1e d8 11 +00 50 52 19 25 72 ce b4 8d 66 24 07 fd 30 81 cf +ab 8b 48 c7 e9 2d 3c 4a 26 a9 64 5a 38 e6 de e8 +8b b0 07 59 75 a4 da d9 64 6b 21 60 38 40 af 5f + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +d1 31 e0 92 43 37 0d d2 cd 54 25 c8 d0 30 f9 9a +db 10 5b 14 7b 8a 3d 00 67 c6 16 44 3b 7d 4b 96 +82 38 e0 6d bb 5f 20 28 e8 53 57 4b 7c 14 be 10 +83 c1 e5 7e 13 2c 1d f4 a3 a2 71 32 63 fa de 12 +f7 11 4f 43 69 bb f0 56 20 55 48 41 33 1e d8 11 +00 50 52 19 25 72 ce b4 8d 66 24 07 fd 30 81 cf +ab 8b 48 c7 e9 2d 3c 4a 26 a9 64 5a 38 e6 de e8 +8b b0 07 59 75 a4 da d9 64 6b 21 60 38 40 af 5f + +# Public exponent: +01 00 01 + +# Exponent: +56 b5 31 bb ee 18 37 a6 94 6c b8 6c 8f be 7c f6 +ee ad cc d2 a4 92 1b ce bb 34 a3 ae 0c 6a 56 96 +3f cb 8b 5a 70 3b 71 7d 03 2e e8 13 e5 8e 43 69 +5c f3 55 47 f8 72 64 c8 2d ba fa e8 44 00 8b 62 +d9 12 2e 9d e8 95 85 60 c8 db b0 07 72 7e 71 39 +e0 a9 82 e0 75 88 14 11 3d e5 4b a0 a4 55 17 51 +fc a0 fc b1 2d 8d e3 0d 78 b8 b1 12 98 a7 f7 8f +0b 08 8f 16 87 05 3c 84 a5 76 2f 62 a4 bd 05 c1 + +# Prime 1: +ee 22 a4 24 62 f7 71 8d fe cf 02 4b 17 c9 26 76 +78 05 91 71 33 9c c0 07 06 52 60 d3 04 7e 5f 89 +fe d9 10 34 28 43 37 8c 22 68 5d 53 2e 84 d2 59 +3a 7c 8c 02 6a 87 66 c5 a2 b2 ed 55 8e 88 23 19 + +# Prime 2: +e0 e3 70 0c 99 a3 e8 15 d7 4b 75 2a 84 fb 42 ec +20 e5 20 3c a7 c1 af 97 fb f3 97 b9 5d 11 05 37 +6c f5 d6 3e 3c 57 bf a6 58 55 e5 08 14 6c 86 db +aa b2 89 c9 5b c0 45 5a 58 2d d8 f5 3f fb ed 37 + +# Prime exponent 1: +d1 f1 34 68 e7 df 62 fb 5e b3 be 3f d9 de 7a cc +63 0f f5 a3 a9 6e fe 54 b3 1c 19 44 b0 67 81 6f +35 80 c4 aa 56 fc bb 92 0e 1b 98 7b 67 3d ad fd +00 75 21 32 58 1c bb 5c 6e 0d f4 f3 42 cf 7e b1 + +# Prime exponent 2: +ac d0 da 38 34 90 ea 36 6e 7d c4 09 ea ab 13 20 +55 9e fd 88 de f9 4e 30 a3 22 ec 03 3b eb 6a 70 +cf 40 93 64 bc 06 4a 76 50 07 a1 ba f5 c6 f8 53 +31 f7 85 3e c1 4d 1d 7e 71 a8 b9 c2 ad 6a b1 3d + +# Coefficient: +1e da 83 d4 a6 d0 99 b6 0b 2b 2b 84 c6 ae 41 65 +c7 22 50 3e bd 37 3c 83 6f 97 35 ca 3b 20 a3 eb +08 1b 31 e7 83 04 13 20 df c6 dd f9 05 14 ca b6 +ec 4b 80 ae 0c 05 2d d1 e7 ce 34 18 ae ee 24 a4 + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 4.1 + +# ----------------- + +# Message to be signed: +2c 93 6b f6 13 3a 96 93 f1 46 ee 5a 1a 91 c2 f1 +69 b2 e6 44 a5 18 e8 5a 75 f6 e4 3b 56 0d 4a 72 +f3 8c 64 f8 4c 05 24 0e 8b 4e 55 78 61 63 e7 27 +62 65 ba 21 3b a9 3d ee 1b 2e 10 21 35 a9 89 b6 +24 8e 88 32 7e 30 03 61 a7 4f 2e 9b c4 1f 2a 37 +68 3f 1a 1a 15 f9 dd 47 2e 11 8e 1c 4b 3e de 58 +dd 70 f3 ba cc 25 2e 0c 65 4b 0f 7a 6e 41 a9 28 +75 10 ef a0 3b c9 2e 80 5e 5b 2c 91 3f 51 e2 5c +7f 85 86 40 ca fa c9 d3 c9 17 68 65 07 fa 94 f8 +86 6f 86 9a 4e 5a 6a 3d 4f 9d 97 ed 81 37 f4 14 +d1 44 7a 86 ee f9 e1 49 69 94 ad 2d a5 97 + +# Signature: +9e 93 f7 ac c5 0f b3 a0 b1 24 3d c3 38 c8 cc b1 +2b ca b4 aa 45 04 40 b6 30 6c 81 b5 0b 8f 95 a9 +36 dd 16 63 30 c6 99 b2 85 80 da 1b e2 75 61 64 +02 da 85 bf d8 ee fc d6 99 35 87 e6 09 28 65 d8 +25 3b 04 08 1d 57 2f 26 27 59 f5 56 df b9 11 e8 +d9 4e 92 e5 5a f6 d5 89 80 18 ff 33 e5 f6 b1 f9 +90 19 96 e9 2f af 33 6e 2d cc e3 ab 0a 93 db 93 +2e 94 2c c6 47 8d 6c c2 fb 66 08 11 91 0c cd 17 + +# PKCS#1 v1.5 Signature Example 4.2 + +# ----------------- + +# Message to be signed: +94 32 3f 7c 38 b9 95 cc 6b d8 5d 47 9f 8d e2 de +c1 ef 2e 84 b1 fe ef ec f3 91 50 b5 d9 f2 cb 15 +85 ac 0d 71 9a b3 48 bd c9 75 0d db 8e 32 76 db +89 81 87 35 bd 62 31 41 3c bc a2 de 94 1b 55 e8 +cf a1 ab 13 2c c7 8a a4 f2 b5 1f d6 57 8e e2 e0 +32 e9 0e 34 08 0f 0f 8e 3d b1 4d 1b 56 f3 d0 77 +f2 9d bc 02 16 a4 13 44 99 8c 0f e1 ab 41 22 47 +df 21 e7 4e c2 2f 5d b0 14 8e ca f4 73 ee ec cc +14 ff 9e 45 d5 8c 2e 62 b5 fe 6a 50 1a b9 6f d7 +c5 ed de f1 4a a8 92 66 69 2e + +# Signature: +09 40 2a 43 56 be 73 44 9b 46 9e 36 31 e1 b0 23 +07 c5 ca c2 ce 15 28 d7 84 fa b9 26 df f5 1f 86 +24 1b 9d 66 f7 9d 6d 8e ee eb 24 9d 76 fa 9f 16 +6f f9 a8 c6 a3 9e 83 2d 5d 14 b9 d7 ec 5a 3d c2 +8f 01 eb b0 6e 39 d5 9e 84 61 b9 55 b2 a7 f5 b1 +f2 04 b0 4c c6 cc 62 64 61 61 ac 1c 2b f5 ba b5 +0f 06 8c 90 8d 28 de 5e ae f7 e8 eb fc ab b0 9b +7d 75 d8 35 40 dd 4b 35 4d 13 1d 86 f0 77 07 17 + +# PKCS#1 v1.5 Signature Example 4.3 + +# ----------------- + +# Message to be signed: +0e 23 3b 25 49 bd d2 1b a5 14 80 da 8e 3d ce f4 +db 20 e0 dc c0 5e e2 37 35 1e db c9 a5 3c 52 f6 +74 d1 05 fe c0 93 9d 36 99 64 7e fc 1e 25 cb 4e +9b 1a b7 52 ab 6f e2 88 69 ff 73 f2 3e 01 ee f8 +67 4c 53 5c 4c 93 35 f7 98 f1 de ec d4 89 d0 6d +c8 8f d6 bc 1d 49 96 ef f7 2b 43 9e 3c 01 4d d1 +4c bf 17 71 5c 15 89 43 de 2e 6f 97 1c 34 99 87 +a1 b3 95 d6 82 c3 b0 c1 7b 66 cd 3c a4 10 60 b5 +71 11 e2 28 31 4b 2d 34 b5 e4 4e 55 f1 c1 1c 31 +a6 eb 80 b5 f8 2d 96 bd 4a 17 + +# Signature: +d0 75 be 06 cb d6 22 3e 87 1b 0f 33 62 a7 97 de +28 2d a5 c4 03 23 f3 7c 2c c3 74 65 a1 a8 63 68 +dd cf a6 da a1 35 86 6c 32 03 d0 47 22 60 b2 9c +3c 9b 1b 88 94 08 5d 54 7c 5e b9 31 42 4f 24 14 +0a 5c ba 15 3b de d4 b9 ce 7d ae dc 64 5d 39 80 +c5 f5 83 f7 67 11 c6 7b 19 3a 52 12 f2 a9 35 4a +67 96 af 09 08 20 91 31 34 ec f3 05 be fb 65 32 +cd 48 d4 11 3a 0e c4 86 9a 0a 56 55 db dc 72 59 + +# PKCS#1 v1.5 Signature Example 4.4 + +# ----------------- + +# Message to be signed: +d4 7c 0f 5c 92 2e 4f 80 9e 9c ee d2 07 f1 24 a5 +ac de 37 fa 14 63 8e 8f bd 0a 72 fe 45 26 21 95 +8e 37 68 2c 6f f2 83 f3 d5 1d a1 52 aa 1f 63 74 +cd 27 d2 a4 a5 33 05 39 16 df f1 c0 7b a9 36 31 +74 81 69 63 60 69 04 58 d8 d1 e5 d6 6c 35 f9 c9 +9a 50 55 d9 f7 cf e7 60 5c ca 57 ea c3 35 ad e2 +ef f6 b5 aa 62 7d 5b + +# Signature: +11 86 0b f4 d7 45 19 ff 8c fc ce 3d 33 e3 aa bd +f7 71 40 a1 56 36 b2 67 8d f9 67 31 44 c2 41 b0 +a9 9a 0a 37 f2 92 ca d5 1d f0 b6 3b 14 f8 ab 17 +e3 fa 15 58 77 90 fb 06 2b 5f 26 6c 16 6b 2c a7 +51 57 a0 f9 e1 a5 c8 ec 26 b9 19 9d 07 18 77 99 +80 6a 1d e9 87 15 fb e5 27 57 a7 03 77 3c 91 8a +00 0c 21 1a 78 22 85 25 cb 52 eb 44 1b 26 9b 3f +33 05 0e d1 93 5a c0 e8 59 63 19 ae 80 c7 5b 84 + +# PKCS#1 v1.5 Signature Example 4.5 + +# ----------------- + +# Message to be signed: +be bd 9d de a3 ab f9 f8 eb 58 55 97 66 f8 b3 ab +83 53 52 38 c4 3d cd 81 a2 94 93 03 a9 5f 05 5a +83 40 ce ee 16 15 e5 8d f1 e0 14 c7 55 2d 76 9f +88 41 ba 09 97 5c ef e7 e4 8d fc 6a 26 49 e8 20 +03 e7 bf 42 0e 70 10 1b 32 7d 91 70 f7 3e 8d 88 +7c d2 98 f5 3d c1 bf c8 82 cf 0e fc fa d6 e8 6a +0e 7f 90 94 c4 f2 6c 46 92 1e 09 + +# Signature: +84 a2 6f be 67 01 0a a1 ef 2d 6c 79 26 32 39 b9 +78 f4 e8 93 dd 1e c6 f0 7d 23 17 f1 51 a2 a1 b3 +23 e5 05 f9 45 0c 37 df 6b 1b f3 e2 4f 38 b6 36 +bf 77 4e 96 74 1f fa a7 69 cf d7 a8 a6 b3 a5 ef +ab a2 3a ab 3a 43 7a 22 5b d9 41 86 e9 1d 39 2b +ed 2e ad 8a 78 f3 81 f4 09 49 cf 1f 3d 27 24 58 +1f 25 70 4b df 66 08 dd 11 9e 36 d8 7d 03 55 e6 +70 6c 8a 52 59 fd 60 c8 df 13 bc 62 aa 9f d5 7a + +# PKCS#1 v1.5 Signature Example 4.6 + +# ----------------- + +# Message to be signed: +9d 19 8e 2c 6e 12 f7 4a 9a 08 1b cf 70 fc 04 16 +8a 49 e0 9c 5f aa a0 11 e9 a0 9e 2c 43 ee 2c d3 +9b b2 f7 e5 68 2d ea b1 fa 11 1e 41 a3 19 4a 20 +a8 6d a5 51 01 82 4d 3d 78 a7 e3 2d b2 b6 0a a7 +73 77 0b 57 39 07 b4 09 a2 59 2c 83 f3 47 fe bb +2d 5c 85 e9 25 5d 6d c1 2a aa 33 5a df bb 5d c8 +62 d7 86 19 53 e2 68 7d 53 03 b6 86 ff f9 63 4e +e4 d1 5c bc c2 9f 7a 35 05 a7 3d eb 6f 9e 38 8e +96 85 ff f4 d5 45 0f 1e 32 75 35 9a 2b 99 44 0c +67 39 f5 b9 1e bd 14 ef 78 ae 73 c1 a6 19 11 f5 +ae 3a 2b 91 49 67 49 17 27 81 80 65 ee 01 0d f4 +9d 5a 16 ed 8d ce e8 48 ae 09 48 a2 52 4e ac 7c +4f f9 09 6c ed 61 35 76 42 c5 e0 f8 06 80 af ff +ce 0b a7 eb 59 58 99 49 52 6f f5 12 35 cd c7 2d +47 a2 7b 39 b8 d4 ac 84 9c 3b c0 4f a8 36 cf 18 +4b ae 0c 83 41 59 56 + +# Signature: +38 ef 24 5b 94 0d 93 97 0a 50 3b f4 3e 28 e1 7b +8a ff 08 3c cb e1 e9 c4 8e 4d 80 f5 16 c2 7d 08 +5c a2 a4 e5 73 23 6a 24 94 d9 b9 97 f8 12 48 48 +12 f6 65 25 d0 6c 0a 0b b2 13 0c 15 d6 ce 18 b2 +2f 3c ee 57 09 7f c0 d5 58 af d9 af 27 f1 51 f8 +43 6f bc 87 d6 be 61 42 64 7a 17 e0 4d f6 de c7 +0a 95 c7 da a8 4e de 94 cc b4 3e 1d 2c 37 b9 45 +81 73 10 d1 4a 22 b5 b9 ae 61 14 48 ee 41 bc 70 + +# PKCS#1 v1.5 Signature Example 4.7 + +# ----------------- + +# Message to be signed: +8e 8b a8 43 6f e3 10 4b 7c e2 a4 ef c3 6c 85 7d +49 e8 49 c0 08 5f c6 57 ba a0 33 17 93 b3 f3 6c +7c e7 38 b6 13 0b fa c7 5e 50 11 f3 2a a3 d1 + +# Signature: +78 44 69 9f 1c 4f 29 6e 50 26 1f 15 26 e0 dd 84 +f0 1c 82 cb 85 fa 24 60 9e b0 33 58 75 2c 6c f5 +99 94 d8 4e 12 f4 6a 72 00 cf 5a d9 7c 08 dd 4f +fc 44 65 7d b5 72 14 cd 1f 4e ed 6b 77 d2 39 fb +58 21 69 88 c5 e5 bc 73 5a 4f df f4 08 eb 9f 12 +79 d6 5b ba f6 a6 81 92 44 18 34 9e 62 ff 5e 58 +15 ea ea 59 2d 90 d1 ee f5 56 fc d4 d5 b4 b8 9c +6c 70 73 9d 6f 0d 3d 0b d1 6a 50 f1 e0 02 4e 98 + +# PKCS#1 v1.5 Signature Example 4.8 + +# ----------------- + +# Message to be signed: +58 5f a6 a7 f7 7a 4b 6e ba 56 90 e7 3e 71 28 b7 +2e 67 7c db 3a aa 86 29 ed 61 f2 ee 63 af 1a 71 +ba 87 13 6a 52 db 1a 33 21 fc fe b2 48 bf 2e 5c +f5 c6 39 57 1d 58 95 ad f1 fb 06 17 ed 14 0a 2a +0d 98 37 c3 c1 d8 45 0c 28 9d 33 bc 96 23 79 d7 +3e 30 87 f2 b7 ee 6e ad d6 65 01 48 c0 42 b6 ff +04 48 21 96 c7 18 fd c0 ce 57 9c eb 62 a8 1e 58 +43 73 eb 93 75 40 c4 26 b5 56 6a 9f 40 7c fc cf +bc 4b 75 36 94 af 0d f4 cd 6a a9 f1 65 46 a6 33 +94 a0 f6 57 73 71 34 3f fd db 65 1a 62 a3 a5 8e +dd ec 67 a2 9c ca e8 96 56 3c 63 e3 c9 0d 54 d9 +13 58 ad f1 94 e6 aa b1 f9 + +# Signature: +68 93 35 1c 73 91 5f ac 47 c9 62 cc 60 17 ca 74 +a5 b5 ee 4c b1 bb 5a 10 ad a2 a4 31 58 a2 26 1e +b2 7b 86 6d b3 9d 35 90 b4 f8 d2 0e e6 7c b1 a5 +78 94 63 15 0d 83 93 43 23 25 43 c8 26 50 51 01 +e1 d2 57 04 26 ab 9f ef d6 5b a8 4f aa ec 73 1f +27 37 4a b1 01 91 c9 60 83 16 93 f2 9a 85 4c 38 +12 85 99 f7 28 77 49 b0 b4 8b f7 e9 df da ed c8 +4e ec e0 71 40 45 84 73 0c ec ce 0d 5c f0 05 cc + +# PKCS#1 v1.5 Signature Example 4.9 + +# ----------------- + +# Message to be signed: +78 3c 18 b1 1f + +# Signature: +13 2f df b8 41 93 df b7 9f df e6 ba bc 2e fd 39 +b2 6a a2 09 68 a0 7c 0e 41 56 0e e4 df cd 4f ca +79 17 49 0f 24 e8 df 84 f4 e0 11 5a 3e 63 27 3e +7a 3b 12 8a bb bd 17 b8 aa 5a 06 ba 15 5e cb 23 +0f e7 97 26 04 79 95 70 10 e4 4b a5 75 29 2e c3 +f1 51 ab f4 8e 91 03 e5 51 42 ec 67 a4 13 4d d8 +f3 8e c6 59 f9 a7 89 fd 03 41 ce f2 bb cf 9f 52 +9b 93 21 8f c3 e4 3a 76 69 69 d1 bf 87 88 48 07 + +# PKCS#1 v1.5 Signature Example 4.10 + +# ----------------- + +# Message to be signed: +96 dc 98 b0 eb 84 f5 59 48 30 7a dd ec cb e7 64 +39 ca 36 58 bc 36 35 96 24 c8 fe 2f a0 9c 52 e4 +7a cd c3 2a 15 6d 90 76 82 41 0a 85 67 ab ca fd +c6 d8 bb 53 25 35 9e c7 5f fd b7 3e e0 a9 51 5a +4d df 9a 31 e5 d5 19 46 03 74 28 0a da 30 de 7d +d5 34 de aa 57 + +# Signature: +8f b4 3d c8 f0 6f 2b a4 8f 19 be 5b 1a 09 31 21 +3a 99 0a ed 9c 9f ed 1d e5 d6 f3 5a 2a 78 2f 0a +19 8f f6 38 8d 96 e9 d5 9b 88 e9 78 22 f3 49 ff +41 64 ee a5 0a 62 93 5c 61 cb c7 6e 3d f7 5f 68 +4d 96 24 75 e5 63 59 64 96 c9 88 0a 48 ed 97 8a +63 15 a3 45 57 17 91 cb 2d dc 88 da be 41 87 98 +a6 a4 41 c4 7a fb b1 cd 15 21 3e ca 3b 11 15 ec +8f 58 f8 77 be 8f bd 38 f4 fd ae f9 39 f5 26 40 + +# PKCS#1 v1.5 Signature Example 4.11 + +# ----------------- + +# Message to be signed: +37 20 01 59 9d 99 30 c7 d5 57 45 8b 43 6d ec fd +c1 4d 06 cb 7b 96 b0 67 18 c4 8d 7d e5 74 82 a8 +68 ae 7f 06 58 70 a6 21 65 06 d1 1b 77 93 23 df +df 04 6c f5 77 51 29 13 4b 4d 56 89 e4 d9 c0 ce +1e 12 d7 d4 b0 6c b5 fc 58 20 de cf a4 1b af 59 +bf 25 7b 32 f0 25 b7 67 9b 44 5b 94 99 c9 25 55 +14 58 85 99 2f 1b 76 f8 48 91 ee 4d 3b e0 f5 15 +0f d5 90 + +# Signature: +a8 97 c7 f9 72 e1 17 49 e1 e7 c1 55 ce 94 62 aa +7e 1c c0 a9 79 c1 27 29 79 51 26 cb 8c 0e a5 02 +21 c4 26 f1 bb 06 c1 ca f7 c5 1a c2 fb d9 4d 68 +8d a6 7d df 3e f6 66 06 e9 89 a1 6d e1 f9 2b 17 +70 6f 88 e8 7d 9f 14 69 a0 05 c9 fd 76 78 8e e8 +c4 a7 f0 12 09 e2 8b 86 f6 74 88 1a f5 7d b6 c3 +42 9b 6f b4 56 98 bf 5d 30 07 f6 1c 7d 44 11 78 +ad 12 43 a4 9b 2a a6 02 9b fe 90 2d 26 e4 23 75 + +# PKCS#1 v1.5 Signature Example 4.12 + +# ----------------- + +# Message to be signed: +bf bf d0 73 21 f0 f1 d5 fa 9f df 00 14 c2 fc b0 +35 8a ad 0e 35 4b 0d 29 08 1b 23 3b 43 56 77 50 +bd 6e 78 + +# Signature: +c2 4d 31 04 94 09 aa 16 d3 f9 72 ef 8b 75 95 ea +a0 07 83 3e 2b cd c7 50 48 52 f2 50 5f ba 1f c1 +5f 19 a0 ea dd e8 33 5c 73 06 fc 3f 51 66 1d a5 +20 ec c8 db 7f 47 38 85 ca bd e9 3f 0c eb f1 df +9e 8a 82 37 0b 00 a0 43 ad 63 2c dc c7 8f 3f ac +1d 8a 37 57 fc 8e 52 41 bf ed 55 c4 96 04 ac 19 +ab da c0 c9 c4 0d a3 73 c1 5f 3c 1b cc 97 3f fb +4f 8b 7b 5b 55 3a e0 75 e1 b1 bd dd d2 3d 7d 2a + +# PKCS#1 v1.5 Signature Example 4.13 + +# ----------------- + +# Message to be signed: +c6 97 39 d2 2a c8 96 6b f1 1c 11 6f 61 4b 16 67 +40 e9 6b 90 65 3e 57 50 94 5f cf 77 21 86 c0 37 +90 a0 7f da 32 3e 1a 61 91 6b 06 ee 21 57 db 3d +ff 80 d6 7d 5e 39 a5 3a e2 68 c8 f0 9e d9 9a 73 +20 05 b0 bc 6a 04 af 4e 08 d5 7a 00 e7 20 1b 30 +60 ef aa db 73 11 3b fc 08 7f d8 37 09 3a a2 52 +35 b8 c1 49 f5 62 15 f0 31 c2 4a + +# Signature: +d0 6d 32 26 0d a2 db 48 10 4f bd c2 4e 16 a6 5b +48 73 7d 43 ce 24 37 04 04 2a ad 6c 03 fd e5 a3 +dc 0f 2c c6 e3 ad 68 c3 c6 2e ab fa 1f 7b 1c ab +00 9d 11 75 af f7 7b e5 8f b1 2a 4e 58 12 7f ed +63 ea 3d f4 41 81 bd a3 8c 77 3c 83 b9 e8 04 bb +3d b7 96 32 63 df 30 e9 2c 4c 27 19 56 e7 e8 10 +45 2c 15 e0 6e 93 96 66 df 0c 83 34 03 30 96 c0 +7d ea 05 b4 4e bb 14 24 92 e7 66 91 31 eb cf 2c + +# PKCS#1 v1.5 Signature Example 4.14 + +# ----------------- + +# Message to be signed: +73 30 47 f3 36 f9 15 47 38 67 45 47 db 02 a9 f4 + +# Signature: +c1 13 c0 46 5c 84 cb fb 0f a1 bd bc 54 c3 e1 06 +8c a2 3e 69 b8 39 19 09 c3 90 0f e5 b4 e7 e3 f0 +34 c9 a9 88 a3 dd c3 c3 81 75 6a 1e 1a 27 c1 ec +fb 3a 70 e1 ee 0e 92 04 18 ac 4a b6 d9 53 2b 8d +09 59 a6 53 b4 c5 08 67 06 63 46 2b 2e 13 58 16 +b6 94 a6 b9 b4 68 a2 9f 38 de 53 bf cd df 97 e0 +3d 8d d2 4f 97 26 33 a4 9c f3 ea ae 1d 69 62 94 +38 60 dd 25 43 40 08 6b 10 35 7b 80 c1 cf bf 31 + +# PKCS#1 v1.5 Signature Example 4.15 + +# ----------------- + +# Message to be signed: +a9 74 0b 9a a0 d3 40 58 fd 3b 90 6e 4f 78 59 df +b0 7d 71 73 e5 e6 f6 35 0a da c2 1f 27 b2 30 74 +69 bd 0c e1 95 49 d0 70 01 20 cb e5 10 77 db bb +b0 0a 8d 8b 09 de 8d 83 96 e3 65 07 fe 1e f6 a1 +90 17 54 8e 0c 71 66 74 c2 fe c2 33 ad b2 f7 75 +66 5e c4 1f 2b d0 ba 39 6b 06 1a 9d aa 7e 86 6f +7c 23 fd 35 31 95 43 00 a3 42 f9 24 53 5e a1 49 +8c 48 f6 c8 79 93 28 + +# Signature: +4f bd 4f b2 37 04 f4 14 9a da 32 7f a5 33 88 52 +6a 07 dd 43 d9 15 fc bd a9 a1 3b b2 a3 73 8f 4a +db 1c 3d b2 6a b6 90 48 80 5a 80 c8 16 05 c9 6d +68 f8 41 80 2f 5a bb 02 05 7b 61 1f e2 f3 94 71 +62 65 e5 45 25 2c 23 0c e4 74 af f0 bb d4 ff 1f +38 08 49 60 36 a4 94 8c a7 a1 10 ff 26 c6 38 c5 +0f 32 15 b2 8a 09 f2 3a f6 f8 4c dc 89 78 98 d0 +fd 22 3b 13 48 1f e8 92 b1 a5 8b a2 e4 b3 68 5b + +# PKCS#1 v1.5 Signature Example 4.16 + +# ----------------- + +# Message to be signed: +af 8f 08 87 c2 19 00 4d 2a bd 89 4e a9 25 59 ee +31 98 af 3a 73 4f e9 b9 63 8c 26 3a 72 8a d9 5a +5a e8 ce 3e b1 58 39 f3 aa 78 52 bb 39 07 06 e7 +76 0e 43 + +# Signature: +32 7e c9 d0 be 7a ab 7b c9 59 d4 02 27 e1 d0 04 +81 fc 04 01 1f e0 8f d5 44 9b 90 c0 f0 54 e0 d6 +59 b9 26 cc 81 29 21 c2 0a 56 3c 4a be 4f 82 5d +6b 5e ef 57 b3 e2 d6 5d 20 a8 01 3a 50 dd 5c 93 +23 8c f0 49 f2 ff 0c 7e be b8 e8 ca f7 2e 46 e7 +cf 8a 0c 3f 49 25 61 6b 1b c1 82 6f fc b0 bd a6 +0b be be df d4 c6 0f 27 88 d1 66 6f b8 45 11 85 +36 46 c2 dd 46 68 51 fa c8 5b e0 ed 5a ce 5f e2 + +# PKCS#1 v1.5 Signature Example 4.17 + +# ----------------- + +# Message to be signed: +38 df 86 55 7f 37 5d 09 cc d8 bd 15 d8 cc f6 1f +5d 78 ca 5c 7f 5c de 78 2e 6b f5 d0 05 70 56 d4 +ba d9 8b 3d 2f 95 75 e8 24 ab 7a 33 ff 57 b0 ac +10 0a b0 d6 ea d7 aa 0b 50 f6 e4 d3 e5 ec 0b 96 +6b 81 57 79 a9 1b 3a 8b d0 49 bf 2a eb 92 01 42 +77 22 22 c9 ca 0c 32 8c 65 9e 0a 64 37 43 3c ce +b7 3c 14 9a ec 4a 74 80 d5 bb c4 29 20 d7 ca 23 +5d b6 74 + +# Signature: +30 46 05 5c 2b 8e f7 fa 92 c8 a9 e3 95 98 5b d4 +60 fb 6b 47 98 65 53 94 4d 21 04 51 19 f7 e7 61 +7e 03 fe 80 87 0a c6 aa bf 63 b0 96 ca d5 cc e7 +f5 06 95 3a 7f 69 3f e1 37 ad fb 97 cd 45 81 28 +ae 95 c4 7c a9 48 da cf 24 03 6a de aa 48 f2 9a +46 9f b5 13 19 1e 05 ac f7 9e 67 a7 93 a3 af 5e +4f 9c 6d 0d 01 fd d0 e0 cd 42 96 ad 3d a2 ca 89 +a5 0e ed cd 9f 7b 87 7d 2a e1 d5 8d 98 dc d7 8f + +# PKCS#1 v1.5 Signature Example 4.18 + +# ----------------- + +# Message to be signed: +cb 34 ed d5 ab 65 40 41 b6 14 30 56 + +# Signature: +1d df 48 ba 53 51 be d0 79 5f 55 b3 06 aa 1c 6e +d8 36 f5 92 ba 93 cf 0c 46 b7 c2 73 70 9d 36 b8 +df f0 2a bd b1 a7 68 d1 c7 11 4a 86 a4 57 49 6d +a5 79 e4 d8 19 f7 2a 19 2e 29 8b e2 15 2f 7c f3 +9d 1e 30 82 7d 02 82 cc f3 4d c8 88 9f 1c 2f 59 +70 93 0d 97 35 04 2f 8a 5a 71 22 63 16 5d 6e 6c +50 35 e2 e4 a5 0e 86 3c 06 79 9e 3c 89 cc b5 cb +0e 70 b3 c9 9c 08 40 30 67 7a 7c 97 90 7a 17 24 + +# PKCS#1 v1.5 Signature Example 4.19 + +# ----------------- + +# Message to be signed: +5b 09 ec 88 b1 52 71 78 fa 04 32 63 f3 06 7d 9f +fe 97 30 32 a9 9f 4c b0 8a d2 c7 e0 a2 45 6c dd +57 a7 df 56 fe 60 53 52 7a 5a eb 67 d7 e5 52 06 +3c 1c a9 7b 1b ef fa 7b 39 e9 97 ca f2 78 78 ea +0f 62 cb eb c8 c2 1d f4 c8 89 a2 02 85 1e 94 90 +88 49 0c 24 9b 6e 9a cf 1d 80 63 f5 be 23 43 98 +9b f9 5c 4d a0 1a 2b e7 8b 4a b6 b3 78 01 5b c3 +79 57 f7 69 48 b5 e5 8e 44 0c 28 45 3d 40 d7 cf +d5 7e 7d 69 06 00 47 4a b5 e7 59 73 b1 ea 0c 5f +1e 45 d1 41 90 af e2 f4 eb 6d 3b df 71 f1 d2 f8 +bb 15 6a 1c 29 5d 04 aa eb 9d 68 9d ce 79 ed 62 +bc 44 3e e2 0c + +# Signature: +af 56 fc 32 97 39 e2 f7 75 4b 6c a2 51 64 a6 fa +58 f6 85 dd b7 42 b4 84 1d 73 a5 e2 c4 c4 53 43 +b7 4d fd 2f 0d 37 0e dd dd 36 a0 17 56 4a 8d 3a +d4 02 e2 a3 41 c9 72 06 2c 23 81 4a 00 13 1e 17 +b1 de c7 b4 c5 7c 5b f1 d4 fa 79 22 29 37 a4 dc +5c 00 23 5f 85 3d d2 3d c9 75 7f 33 5c 85 c2 07 +eb 07 4d 4b cc 24 3e da a7 83 1b 83 13 56 55 e2 +27 7e f2 9e 7a eb f3 4a 0f 7b 23 4a 28 65 0a 30 + +# PKCS#1 v1.5 Signature Example 4.20 + +# ----------------- + +# Message to be signed: +3c 33 0c 1e f7 18 c1 41 e4 7b 8f a8 59 be 4d 5b +96 + +# Signature: +0b 10 22 dc 38 e2 17 fd 3b 0e 7e f1 9d fc b4 b4 +56 36 62 40 98 30 95 f6 db 96 58 31 a7 0f 0f 8e +20 e2 dd 2a c2 31 cc 37 90 45 c2 73 65 e7 3a 53 +71 9b b6 f0 11 c3 f8 63 6b 64 99 4c a4 80 60 2f +b3 b4 f0 e2 27 4b 58 b3 63 e0 d3 08 b5 28 e1 58 +59 a9 1d cf 99 bf fe fb c8 05 22 41 b9 74 19 2e +63 62 18 f3 98 33 2d af e8 25 9c a5 f5 cc fa 54 +c9 b3 2b 27 35 af 07 24 f4 0b 5a 5d 61 21 a4 0d + +# ============================================= + +# Example 5: A 1024-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +c5 5f fb dd 6a 27 53 bc 02 af 20 ae 18 ea 0d af +23 0b b6 f8 79 5d 05 ef ec c8 15 ba ec e2 2b 38 +79 99 5f 6d 97 64 c1 df 8f 97 85 13 81 68 62 66 +b8 09 2f b6 01 18 98 a7 67 07 a4 d1 d5 bd a0 8d +24 6c 68 7a 8b ba fa 63 98 ac 9e a2 72 68 23 71 +4a 0c 39 34 ca 6e 5f 8c e3 39 87 b5 34 85 7e a9 +f8 5c c4 e1 9a 1d 21 83 e0 e4 c8 aa 55 cb 22 7b +0e 56 ce b2 b6 2b 30 ef c7 88 64 b2 f9 fb 92 49 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +c5 5f fb dd 6a 27 53 bc 02 af 20 ae 18 ea 0d af +23 0b b6 f8 79 5d 05 ef ec c8 15 ba ec e2 2b 38 +79 99 5f 6d 97 64 c1 df 8f 97 85 13 81 68 62 66 +b8 09 2f b6 01 18 98 a7 67 07 a4 d1 d5 bd a0 8d +24 6c 68 7a 8b ba fa 63 98 ac 9e a2 72 68 23 71 +4a 0c 39 34 ca 6e 5f 8c e3 39 87 b5 34 85 7e a9 +f8 5c c4 e1 9a 1d 21 83 e0 e4 c8 aa 55 cb 22 7b +0e 56 ce b2 b6 2b 30 ef c7 88 64 b2 f9 fb 92 49 + +# Public exponent: +01 00 01 + +# Exponent: +07 e3 fa 71 b3 98 b6 e4 41 47 37 0b 3e bb bc a8 +4f c2 5c 22 3a d7 d9 30 ea 4a 65 73 ff 9c 5b 15 +fa e6 82 c6 22 d3 48 5c e3 a4 af 11 44 8f 23 bf +ef 83 8e 80 bc 32 7b 87 d5 ba 9c 80 37 07 49 af +c8 c1 c0 17 54 6f c6 b6 59 31 b7 59 ca 43 41 fa +5e 5e 10 b2 40 87 e6 e2 c0 f4 db b7 90 69 52 99 +9c bd 90 d2 43 5f ca cc 9c 82 e4 8f df 24 e4 95 +cf f3 0a d4 19 e7 12 3e 3a c9 42 27 2e 1a ba b1 + +# Prime 1: +f7 f7 c0 02 f0 19 6e cd d7 1b a5 ad 74 2b 69 48 +27 d2 88 af 1b 1b b6 9c 5e d7 fb 22 9d ee 4b 7a +32 f2 f7 56 8a 6f ca f3 83 d8 9a da 9f c1 4a 7b +a5 d0 a4 a4 6c 2c 54 3e ec 17 75 49 c8 a0 48 b7 + +# Prime 2: +cb c4 b2 86 04 76 a2 d3 e8 a4 da 21 00 16 ca ce +d0 e3 67 cb 86 77 10 a4 b5 aa 2d f2 b8 e5 da f5 +fd c6 47 80 7d 4d 5e bb 6c 56 b9 76 3c cd ae 4d +ea 33 08 eb 0a c2 a8 95 01 cb 20 9d 26 39 fc ff + +# Prime exponent 1: +6c 76 27 bc a1 3c de a4 96 a4 77 31 89 90 bb 7a +5e 40 ce 9c 99 24 e4 19 3d bb 07 14 3b 34 52 3b +5f 31 bb 52 55 37 54 f4 73 05 39 a6 cb 1e 06 f0 +52 b5 12 6f 01 09 da c7 b3 09 07 ba 80 50 eb bd + +# Prime exponent 2: +40 92 74 80 43 a9 d4 af 92 69 ab 36 09 f1 2f 13 +9a de 75 65 e9 96 91 8f a0 81 ed 4d 9d 8a 39 78 +fa 92 7a d6 1c df 07 c6 1c ee de 96 b9 6d f4 6e +7c 68 ef ca 8b fe 63 ad d4 83 aa 32 22 8a fd c1 + +# Coefficient: +2a 61 94 ca 29 70 72 38 45 ff f3 8c a1 a9 a3 b5 +66 b4 24 5d e2 f9 01 34 b8 e6 ae c8 ae 07 f3 bb +7c 5e 5a e6 e1 83 34 85 e5 5d 8c a6 0c e1 64 2f +72 75 96 8e 66 12 38 35 52 11 c6 38 48 94 0f 3c + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 5.1 + +# ----------------- + +# Message to be signed: +ea e9 a4 0b ff 18 3f 41 14 73 2e 7b 3b a5 56 f4 +ce 28 8d aa 83 e3 ff 23 61 12 44 a7 a0 90 1f 11 +7d 86 c0 9c 33 a5 23 2b d3 20 fa 37 a2 38 a8 aa +62 dd 21 ab bf ac db 93 fa 1c 44 cc 55 ac 61 be +a2 4a 6a 34 cc 64 76 75 38 37 e1 6f ac d8 2e b4 +9e 1c 57 c9 58 fb bf f5 68 88 7c f8 2e eb e9 61 +e5 80 e0 64 db 9c be c3 b5 3d f1 f2 71 99 e4 9a +04 cb e5 9c 69 a2 65 cf ac 8c e4 f9 1c a9 5d 52 +b1 14 5c 8b 9f 44 40 b3 9c 18 50 94 be 18 48 74 +da 59 71 d7 d7 63 fe 07 ce 16 e5 7f 1e 50 d2 28 +65 04 b4 81 e2 c6 85 bc 9d 9c 01 49 3f d3 a6 d8 +bb 9b 2e 96 bf de b6 c9 29 14 ca + +# Signature: +44 ce b4 42 24 2b ae 08 59 94 ea d0 7b 70 95 43 +ea 23 95 a6 e8 d4 64 73 d7 0d f3 4a 95 55 aa 56 +7f 4d a1 38 e9 63 fe 92 86 a8 4f b7 c5 cf 82 00 +03 59 04 b5 0c 32 40 3c ae 51 7b fa 7f ca 8a 66 +fc fd 63 2a f7 47 c4 9c df b0 b9 ae e3 52 28 b7 +dc 4c 21 00 39 69 b0 a0 13 ed e1 29 2b 65 d1 0a +50 c9 02 63 fb 0b f4 f4 b8 37 66 41 b0 3e 1f af +b8 83 f0 38 f4 32 3d fe 5b ea c4 68 de ea 99 c3 + +# PKCS#1 v1.5 Signature Example 5.2 + +# ----------------- + +# Message to be signed: +9d e5 ca 46 74 85 61 a0 b9 28 b2 60 a9 5a 3e d9 +20 ad c8 d5 ee b9 27 1d c7 1b c1 4f 69 cc d6 31 +1d 18 6a 77 9f 5e b8 db 17 c6 90 d6 86 7c f3 36 +9b bf f1 5f ab b3 cd 2c fd d6 f7 d7 52 86 ff 2d +24 99 c5 ab b4 8e d5 4f d4 d8 49 a9 18 0e 11 0e +0a 53 a7 21 39 82 92 11 0f e8 be 26 + +# Signature: +44 5f f5 b6 87 9f 8c e7 53 95 01 6f 04 95 f1 31 +35 b1 79 e7 3a 3c ae b3 30 e3 cd a7 f3 1f 1d cb +a7 aa 82 e2 68 c9 35 e9 d7 01 4e 0b 0d ce a6 9c +7b 96 8a db 17 42 4a 64 df d1 e2 bc 57 07 f9 20 +fc 0c 83 cc 63 df c7 4b 96 3e 68 2b 46 a2 2a c2 +56 ac 6b e5 70 9c 07 cf cc 3d 4e ba 3a 1d 61 ab +15 f1 ba db 0a 49 fb 5c f0 9a 1f 74 81 a3 aa ea +f7 c2 57 54 03 77 ae a7 b5 44 17 a6 09 c7 6f 4c + +# PKCS#1 v1.5 Signature Example 5.3 + +# ----------------- + +# Message to be signed: +18 3b a1 a3 81 1d 62 5c a9 da 1b ba ae dc 76 19 +20 12 fc b6 74 bb 9e 77 d8 f3 77 08 d2 40 d3 49 +e0 57 97 41 6f eb 24 e3 01 8c 7a 20 5d 05 9d e8 +e0 ae 05 a8 d7 e0 9e af ee b9 f0 6d e5 d4 28 7a +bb ef 05 9b c5 86 b2 1c 82 d6 4a ec e8 d7 42 8a +fc d7 b2 2f c5 d1 68 bc 07 6b 61 5f 02 73 3c b6 +31 25 c8 f3 6d 5c b8 09 ce 80 65 08 23 98 b3 88 +5a 89 19 57 0c 47 8a 07 2f 59 66 15 d7 8f 01 36 +d1 1b e3 2b 3f e0 f4 fb e3 c7 da 5d 81 34 19 10 +17 7e 48 b1 bb ac 27 6c 12 ee 81 54 65 dc 67 d4 +53 24 f9 05 aa ca 48 38 d8 1f 74 31 46 3e 89 eb +8b 95 36 58 69 36 af b4 2c b4 7b d8 c3 18 29 d3 +1e c1 ee 29 f9 1c cc 6d f9 cd 1b 0b 9b 86 46 b6 +02 67 fd 7e ce ae 92 c0 ae 9e 0c e5 ff 6f 7e 0b +f7 56 a9 b8 ff c9 c6 16 + +# Signature: +ab 4b 78 96 4c 2a 35 d3 28 55 e0 ef ce d3 4b f8 +02 19 b5 8c 48 8e a3 75 b1 f3 27 16 6a 51 35 e5 +da 99 45 c2 87 29 7a 3d 93 2e 57 27 46 f0 22 74 +8b 85 58 5a 0a bd 91 86 f4 ac 35 ed c8 50 d2 fd +88 05 b9 e9 f5 1a 5a dc b9 5e 1a c1 72 9e 57 b8 +53 31 c1 ed 15 c3 d0 cf ae 33 f6 1c 11 9b 55 c9 +5e 34 4b 72 f2 b4 f8 e7 e8 fa c7 a3 3e 5b 8b 27 +6a 60 88 a7 fa bf 4f a1 72 35 7f b6 e3 f4 4a 94 + +# PKCS#1 v1.5 Signature Example 5.4 + +# ----------------- + +# Message to be signed: +87 07 dc db 49 d2 83 a2 3a 9b d6 ff 87 af f8 34 +f0 6f f7 f4 7b 0e 5f 57 ff 1a 0d 99 5b ba 9c dd +5e a0 1b 42 b2 5d 6f f1 7a 0d c1 06 05 cf 45 2a +ca 73 be 54 ed 5e 0c e2 15 66 af cc 17 91 2a be +18 df ac d1 bc 03 e3 e2 88 2a 4b b3 a4 f3 9e ea +f9 63 d7 c3 5e 6b a8 58 b1 37 6a 07 51 60 c6 cf +ae d5 e8 c5 2e 45 11 32 34 72 19 bd 88 89 3e eb +e3 56 59 a0 ee 4d 94 f9 4d 03 5b 7a 86 86 ff b4 +16 eb 99 fb 2a aa 81 23 6b 05 ac 46 45 92 5f 2c +2b c1 9e be 89 a6 3f 2f 45 1d 0b 13 b2 fe f0 61 +e5 30 a3 49 ba f3 b2 35 64 22 b0 95 fd 9f 19 29 +93 ab 99 c9 f9 22 6e f9 a7 b3 cf b3 65 82 08 59 +29 c8 76 b5 e9 d7 c6 ac ac 7b b0 27 52 34 e4 1e +d3 51 c8 38 b7 a3 1a + +# Signature: +17 53 98 8b 39 dc 74 5d f9 69 1a f9 ee 69 ca da +73 a9 87 7c ca 12 f6 d4 06 27 dc ed 76 22 14 7e +c9 01 a5 b4 63 e7 ef 9b 37 fb d6 92 78 5a a2 2a +46 5d f4 03 af 92 a2 9f 79 5d 40 a8 3f a9 64 b8 +5a 7e c0 5a 3c da e3 f8 bc 8a 61 a7 9d c8 42 e1 +d3 77 bc 5e 1d 46 ad aa a8 66 be 28 2c 6e 23 88 +17 36 44 f4 06 27 bc f8 a0 97 4a 4b e8 fc c4 8a +ee 7e 82 59 f8 68 a2 bd 78 9a 90 89 92 05 6e 55 + +# PKCS#1 v1.5 Signature Example 5.5 + +# ----------------- + +# Message to be signed: +ac 9f a3 f6 3d f0 68 e9 0d 69 2e cc fa 7d 87 96 +49 1a ca 79 5b 98 58 a4 55 18 62 32 29 af 28 b1 +3a 50 2d 8c b3 b9 50 92 50 58 82 eb 99 4d e7 46 +59 62 56 98 a0 05 04 17 94 0d 8b fa 28 a3 f9 3d +14 9f f8 b0 bb 39 26 f6 18 ef 91 96 6f 4d 39 bd +ba 5a 05 17 dd eb b1 6d 2b c4 b4 e3 3a 7d 61 9c +95 a3 3c f5 f5 72 db e0 7f ab 4a a6 7f b3 f3 9a +a2 98 1a 3d c0 ca ee 64 75 8e a8 98 eb ce 10 bf +3a a4 fc 84 49 e8 e0 cf 7e 88 b1 88 23 8c 20 68 +ef ac eb fe ef 40 73 a6 54 a5 8a 30 99 d0 36 ae +ee 2d 81 82 98 d4 ab 39 23 8e dc 45 9a 9f d3 57 +7e 9f 5b fc 03 68 aa 65 7a ee da 1e eb 8a e7 f5 +ac 1e af 3b 1c 95 81 7d de 2e c1 a5 9f cb 5e f2 +7c c3 4f b7 53 31 da 7a 49 96 92 5a c3 ad 17 bb +c3 da fe 6a 9c 64 4e 30 98 ef fe f8 fe a5 cc 0d +5f 0c 04 8e 10 88 + +# Signature: +11 e1 a8 28 f0 0a 98 7e 03 d6 2e 2a 53 6c 29 7d +da c0 22 e0 63 ee 0d e4 e4 69 5d ed 1f db 22 09 +00 a3 ac 3f 87 d1 be 75 f9 59 c2 8b 57 8a 43 b2 +56 64 3c df ff 92 15 95 fd fb ea f4 10 c2 ae d9 +e5 e4 7e 1d 15 1a e2 8c 76 99 ae e2 25 a6 45 bc +42 b3 be b5 2f 08 38 7e c5 54 d0 20 4d 28 3c 3b +cc bc ca 21 6e da d9 4e c6 4f 9c 20 b3 40 6a b7 +8a 6c 4a 4d ae 3f a6 17 a0 0c 6a b2 f8 e2 47 62 + +# PKCS#1 v1.5 Signature Example 5.6 + +# ----------------- + +# Message to be signed: +15 74 69 73 44 e9 86 85 cd 6e 65 e4 67 83 f0 b5 + +# Signature: +3b 7d 67 d1 3c d3 c0 fd 30 5a d4 04 d8 a3 dc de +4a 45 17 9c 2d 0b 87 11 5d 6d 06 0c 24 9b 87 f3 +9e 46 3b 76 4b 42 07 c4 8a 74 cf ce 25 31 e8 18 +3d 3d 01 25 85 ce 57 39 d1 62 c4 ea 22 32 44 02 +ea 2e 6e af b8 a5 73 fc ff 40 15 c9 5c 45 e4 ca +7a c5 1a e3 a0 6f 42 1e 60 6d 68 3f 5e 12 2b 55 +79 14 8a 9c 46 6a de b0 24 28 f4 89 6a 86 df 63 +be 58 7d dd 7a 6a 8d e7 17 6b e4 e7 ff 4a aa 99 + +# PKCS#1 v1.5 Signature Example 5.7 + +# ----------------- + +# Message to be signed: +be 46 be 8b dd 85 43 d3 70 bb b7 ac 83 9f 5e 64 +53 f3 0c d8 75 2a 4b 92 67 32 c5 9e 61 09 04 4b +e3 a0 75 6c 70 25 a2 32 80 df 2e d7 66 ba 39 ab +b2 0b 94 4c 06 5f e1 48 7d ea 31 b4 70 8a 68 9a +50 b2 8d 54 29 94 cb bb 3a 5b b9 46 0e e7 a9 c1 +53 8b da 75 1a 52 8b 76 70 f9 15 78 d6 67 3e 08 +ab cc df 5f 4d 8c 1e be cf ca c7 5c c4 2d bb b8 +cd e3 c1 b4 74 b5 56 b3 2b b8 48 fc 32 7b a6 e3 +cf 5f 77 b1 eb c0 4a 19 f3 c8 c3 9b 6b 84 77 84 +ea a3 25 a2 b6 f3 + +# Signature: +91 de 2f 90 32 47 b2 d1 3a be 93 dd d9 6d fa ef +1b 4d 17 2b 09 09 58 f0 cc 34 fa 92 83 5a d6 0c +44 b4 27 fe 03 1c ad bf 92 ff 1c d0 38 41 44 c9 +b5 f2 8f 64 5c 63 e8 d7 16 bc ec 2e 04 3b c3 96 +56 64 17 85 c2 6b a3 6b a2 a1 09 e3 64 4e bf d9 +62 d7 a3 16 91 6b 3f 13 66 20 13 cc 0f 37 ad 8f +9e 0d 9e c8 b4 c8 ad 5c 75 32 cf a0 44 ae dc 73 +78 77 94 c2 98 79 7c 8a 7e 14 49 ea d6 15 0d ed + +# PKCS#1 v1.5 Signature Example 5.8 + +# ----------------- + +# Message to be signed: +0b 7e 06 63 e7 15 ea 38 bc 93 0e c9 d8 e2 a0 29 +aa 1a 4c 95 e7 b2 00 47 ae 15 44 d5 b2 d8 47 6f +c8 05 53 9f b0 ef ab 7d 5f f1 2c 36 d7 6a 79 7b +75 c0 b5 3f a9 26 54 73 da b6 80 c2 55 d5 7e 99 +b6 d9 fe 08 cf 1a 57 34 91 e2 19 78 fa e9 53 9c +c0 58 84 63 3a 1d d5 cb 21 53 6f d4 2d dd 73 1c +a7 6c 34 57 81 3c e1 bb 59 c2 1d d3 1b f2 ae 3b +fd 7d 20 c6 c7 12 a9 dd 43 95 1f 1b 19 8d ea f7 +41 08 ea d2 29 26 d2 b0 19 1e 59 d5 f6 79 ad 97 +c7 1e dc 69 de 97 98 7e 54 3e 87 a9 6a 9f ee 77 +e3 f0 ea 95 7b d4 6a + +# Signature: +48 51 09 8a 85 e7 0d a3 33 92 a9 e9 0b 34 76 a4 +8b a0 e3 2c d6 ad 3d c1 dd 91 da 57 e8 8d fb c7 +b6 57 4b 08 e8 71 60 80 e1 5d f4 05 79 c5 70 5d +5b ef 58 4b 08 b2 63 db c4 f0 d1 59 56 ff 11 25 +c4 8f 89 59 1e bc 94 1d 9f e8 f9 a7 80 c8 2e a3 +2b f3 ef a1 6c ab be e5 80 fd 6b 95 74 08 0f 69 +07 fe af f8 1d 48 c4 9a 6d e2 24 84 80 f1 d8 52 +39 e9 a4 18 dd 53 10 de f7 76 e0 8f 50 9a 14 78 + +# PKCS#1 v1.5 Signature Example 5.9 + +# ----------------- + +# Message to be signed: +13 42 33 ba cf a1 6d c8 4d 8f a4 bd bb 47 93 d1 +da c0 7d 60 54 bd 08 39 61 da 68 67 9c a3 75 33 +4f 09 20 b9 df b8 a6 8e d7 7f 27 fd 92 19 28 13 +61 e0 9f a6 08 4f 96 e6 98 85 b4 7e a7 75 af 06 +77 2d 66 12 d4 d1 6f 4a 5c c4 cd 0d 1e b2 3b 7a +1f 09 56 4b 84 2e a0 7c bd de 60 45 3a 2a a4 ab +69 dd fe b5 b1 3e 9f 08 cd 07 2e 5b 71 ce d3 34 +ea 70 4c 74 9f f4 72 7e be 12 c0 29 0e 00 a8 41 +d7 4b 06 55 cf d8 06 5d 28 20 fd f8 fd c1 bd 45 +58 81 80 8b ff 0e c7 27 60 74 75 bf 0b 2b c8 93 +59 58 32 9b 77 8e fc e5 60 fc 26 c3 bb 6e 2d c9 +ae f1 8f 96 9f ba 64 74 5e d4 d8 5b 14 75 7b b8 +33 ea db 9c 5c b0 ea ed 08 d3 0b 95 15 00 5a 3e +88 09 1f c5 cd 2f 36 ad 95 5b 7c 6f 2b 19 bb a3 +74 fd + +# Signature: +3e 37 b4 2d be c1 29 db 81 c5 e2 a2 22 f3 1e 81 +b9 37 ff 02 24 95 18 18 37 30 37 8b 4c 09 2a a7 +f3 b2 34 59 61 1a 82 4f c5 27 54 42 1a 27 cc e9 +18 b6 2a a7 b4 46 38 a0 c0 82 79 80 52 a5 88 46 +68 82 51 06 90 ac 77 30 23 28 02 46 c8 90 ff 1f +62 27 04 9e 66 8b c9 d6 e4 89 b6 94 4a 34 e8 f9 +30 02 bb b0 0d 75 2b 57 7c e3 52 53 00 82 be cd +30 9b 0d ac cd 1d 68 d0 6e 1d f7 12 21 c6 22 69 + +# PKCS#1 v1.5 Signature Example 5.10 + +# ----------------- + +# Message to be signed: +35 da 3d 02 34 bd 74 fc d7 6e 8e 69 52 8f 65 1b +88 27 1c bf 16 28 69 38 c2 c4 a3 7d 41 1d e8 f6 +75 78 eb 8b 3d 20 a8 fd 7d cd e7 b6 56 fe 96 a6 +80 87 32 28 ed 0f 9a 62 0f 15 05 44 23 72 f9 b2 +b4 16 84 98 72 34 90 f8 11 f3 11 1f 5f 77 38 63 +47 b4 82 2e d9 d6 b5 53 83 92 21 5c b6 c4 86 5b +b7 b5 b7 e2 84 2e ea 0e 90 01 ca 0c df 5d 6b + +# Signature: +12 ff 2a b5 fc 83 d6 49 59 7c 47 bf f3 29 b7 f4 +61 db bb da 01 fb 6b ad 26 54 3e 4d bc d6 0c 5e +2c de bf b1 12 78 4a 96 4e 27 f2 a2 e7 fd 07 ec +39 0a ab 14 94 37 03 58 a7 5b 5e 1f a4 f1 ad 52 +02 e6 d5 46 c0 f3 15 e8 6f af f1 d2 5b 94 72 82 +da 32 ea b5 6c 22 f0 6c 8a 9d 32 ae f2 81 d6 f0 +aa 55 d7 ad 3b cd fd b2 09 a1 6e f4 5c c6 f9 68 +2e ae 96 3c bb 21 3a db 7f ad 1b ef 49 c0 70 4f + +# PKCS#1 v1.5 Signature Example 5.11 + +# ----------------- + +# Message to be signed: +75 fd b0 72 73 f7 54 d1 11 6f 99 7a f2 d1 1a 51 +2b 94 e9 e0 48 01 b3 fc 73 91 30 b7 47 b4 be 87 +44 d7 e7 f8 a2 97 a0 89 d9 05 0c 5f 54 f8 a3 9a +a3 f2 + +# Signature: +07 ff c1 b7 a1 0d da ba 96 05 f0 a3 d9 3c 8a 5e +4c 0b 77 58 61 39 05 07 31 d9 cc 9b 3c 83 d2 b7 +3f af 9a 4e 24 d1 c8 bb 0d 62 3d f1 0f c8 40 7d +15 14 48 fa 43 ee 65 81 e7 b0 ac 80 d1 4a df a4 +f6 d2 7a 76 67 50 b2 31 cb c1 c5 cf d6 2d f1 b9 +72 7d 8b 87 41 46 9f 68 e5 0a 9b 3b c7 ad e1 37 +db 06 74 76 03 74 28 56 d5 e7 dd b4 e1 6a 5b 49 +d7 36 5d b2 76 3b f5 fd ea 08 3d 81 fa c9 2d 87 + +# PKCS#1 v1.5 Signature Example 5.12 + +# ----------------- + +# Message to be signed: +96 c9 fa ce fb a2 ed 33 ed 8b 7b 3d 8b 6d f2 8f +2f ab 0d cd d7 a3 cd 7a 7d ed a2 54 5e d4 47 0e +d2 5b 46 d2 16 6e eb b7 e1 47 10 17 83 b6 45 ba +c6 26 64 b8 72 70 09 f3 5d 1e a5 fd a5 e7 c2 8d +6a f6 fe 92 04 6c a7 24 ca b8 42 5a 52 a0 85 f9 +ac 90 83 d4 d6 90 bb dd df d0 a8 2d 94 8f 70 d6 +85 e2 6b b9 f5 27 40 8a bc 84 7b ff 12 02 de df +6d 2f ac 6c f3 68 2a 51 6b a7 2f 4f e9 7b 90 46 +6a f6 e5 43 12 31 65 b8 a6 83 ca ba 2f a2 3a 86 +ac 06 21 30 65 e1 ed 9b 4f 49 af 4f ff 6d 46 b3 +6d 13 3d 8d a2 dd 29 d5 5f 9f 32 2c 40 78 5d dc +21 c4 26 c5 e0 a6 7d 41 4f 5a b9 71 c4 46 0f f9 +b1 14 30 5a 8a e7 e7 b9 5c 73 03 4e 8e 93 c0 35 +29 dd 50 c9 4f 07 62 79 77 5a 5a 3a 80 c5 d2 48 +6a 2d 51 08 48 bd c9 b8 52 ac 1d 32 ce b7 c0 41 +a0 8f 2f 8e 62 + +# Signature: +46 d0 3f ae c4 a7 23 18 62 1e f4 d0 c1 bc a7 1a +2a ee a7 a8 1d f8 fe bb 8b a3 fb 35 40 d7 2d 15 +34 b9 82 69 16 e8 9f 27 d3 25 67 6c cf 5a 0a a1 +61 12 db 2d 93 03 e0 eb ce 4b 85 58 7c 55 ac a0 +68 50 de 84 de c2 13 d1 13 74 04 a5 de e6 ca 88 +d9 1a e2 8b 7b 53 6c 90 20 2b c7 72 6d a5 04 2a +85 08 d3 b1 3c fb aa dc ee 12 78 d3 5d 30 3a cf +ee 6e 07 41 90 49 11 a5 f1 88 10 ad d3 e7 b8 f6 + +# PKCS#1 v1.5 Signature Example 5.13 + +# ----------------- + +# Message to be signed: +c4 b4 c9 96 6e 56 f4 0a ff 47 08 13 1c d3 71 44 +21 34 3e de 70 c4 d4 6d b6 ef be 1b 19 a9 e3 c2 +e5 81 06 00 8a 98 38 59 cf 94 2a 31 97 74 69 5a +0c 98 a9 63 e2 fe 9d 93 79 bc + +# Signature: +b1 6b 10 f2 bd 7e a0 f7 6a 9e d2 ff cf 3e c1 0e +dc b8 24 60 fe 55 82 a7 76 4c 0c 50 56 ec fb 09 +72 06 48 d5 f1 9b 3d ea f2 ac c9 86 46 0e 71 14 +26 15 83 a5 f4 a9 90 e9 22 fe b5 b4 78 97 34 fd +cc e1 5d dc 87 ca c3 f6 c7 c9 e9 e2 19 23 15 f0 +84 1f 43 ea 86 de a9 a9 38 05 08 b0 6c 9c a5 e9 +d4 a6 51 d0 12 16 62 7c 46 6b f0 d6 ae 74 4b f3 +0f d7 91 a8 21 03 39 f5 05 7f f8 5c eb 84 f1 96 + +# PKCS#1 v1.5 Signature Example 5.14 + +# ----------------- + +# Message to be signed: +b8 38 a5 d8 88 95 0f 1b 8e 4d 94 7b ba 51 af f9 +bb 60 b8 3d 09 ed 9d 97 96 7a 76 95 5e d1 dd f0 +48 15 20 bc f4 f0 8b eb bf 89 9c c7 c3 ef 0c 04 +d5 00 1b 1e 2e 84 5f af c5 83 30 0c 98 ac a7 a0 +3e 90 a4 34 de 77 fe f7 20 da 36 63 f2 19 98 20 +8a 94 f8 94 76 7d 3e d8 13 96 b7 ef b2 86 e0 ff +7d b6 ea 8f db 4e 72 83 46 00 fe 5f 7f 15 0a 01 +b1 d4 a0 8b 5e c9 ee 1f bc 10 01 d1 2d 52 36 db +f0 72 7e 7e a3 60 78 f3 eb ac 50 46 b7 65 b4 e2 +3c dc ef d1 15 d6 2a 50 34 4d bb d7 42 8d 48 ff +c9 4b 11 e2 1c + +# Signature: +b1 56 81 ee f2 96 a6 6b 9f cd 66 30 f8 9c 55 82 +6a 38 9e 0c 2d 3d 47 6a 0f 8a 1e 08 cb ca cc 66 +02 c7 14 43 8f 32 f3 4e 02 c3 6e 5c 0f 16 8a b0 +28 91 7e 90 50 fb c8 50 f0 cf 65 d5 ee db 3b 54 +be 54 95 bb f0 fa ee b3 2b be 5a 8f 87 bb ac dd +25 85 fb 90 7b 13 18 5b 02 61 56 63 d2 01 1e f2 +3d 0a b0 4d ad 1f fa 67 9b 53 15 2c 9c 42 b8 46 +39 68 4e ae af 64 4e 4f c6 ff 2e c7 d4 7b a5 ac + +# PKCS#1 v1.5 Signature Example 5.15 + +# ----------------- + +# Message to be signed: +9f d5 39 c8 ad 86 49 24 ee c1 d6 55 c0 7d 1f 28 +27 0c db 32 6b 57 2c 46 67 ec a6 48 8c 03 36 57 +ff 29 25 4b 91 f3 21 6e 1c ac 97 97 53 f2 23 b1 +79 ea 5f 9e fc 23 6d 40 1d 1b 9a 3c 20 eb 2a fc +9b fc fd 07 92 ac c5 b0 0c 98 28 a6 45 + +# Signature: +38 bf df d3 27 2e 48 cf ee 68 ce b9 13 04 eb 91 +ee 25 e4 83 40 1f 30 fe 12 d5 e4 35 18 e4 b7 71 +14 a1 2c 8c 79 92 ae e7 d2 e7 74 ff f9 1d 8f d1 +cb 7c 6a 2a df 79 b7 c8 ab 93 e8 37 4d b7 4c 26 +90 9c 65 9a 97 c7 6a 22 2d f4 fc 8c 7e f5 19 90 +80 ea ae 2d 03 1c a7 51 c5 01 32 89 db 4e ad 77 +b2 8b 76 a4 c4 96 ad 0e b4 22 fc a8 8f c6 84 e4 +2a ea 88 fd 33 c2 56 75 1b a0 66 83 4e 77 a1 e2 + +# PKCS#1 v1.5 Signature Example 5.16 + +# ----------------- + +# Message to be signed: +1d e8 07 40 9d 0a 61 b0 32 2d fe d4 99 e8 c3 32 +41 ec 89 cd 7d 9f c5 + +# Signature: +8b 66 64 f8 69 d7 55 c5 d3 e6 df 99 22 e2 27 c1 +10 91 8a 6f bd 88 c1 a2 e1 28 95 23 ad bb d8 aa +43 1d 07 86 85 3a b5 96 dd 5b 00 12 43 b5 4a 2c +b1 0c 31 66 bf 00 23 38 fc a2 03 45 ae de 1b 22 +ea 1f a3 d2 41 c8 6c 76 bf c0 2f 4f ce ae 12 c8 +a9 d7 e4 4a d6 17 16 65 e8 8f 12 85 22 dd 53 5a +9d 65 00 8f 6a 73 2d 40 af 20 4e 22 0f 1f ac d9 +42 e0 9d 15 09 9f dc 51 b3 a1 42 6c b2 dd 32 93 + +# PKCS#1 v1.5 Signature Example 5.17 + +# ----------------- + +# Message to be signed: +4b 2b cb 26 79 a1 4c 3c 4c 06 9e d0 89 a6 5a ba +29 f2 2b 61 78 c0 + +# Signature: +1c 47 82 8e a5 3f b6 43 6e 95 96 b0 ce 47 d9 f3 +8b 5d eb 0b 19 7c 1b c4 74 e2 e8 22 65 70 cc 1b +72 f2 39 31 2a e7 c3 c6 38 2e 1d 8c da 7d 4f 12 +fe ba d7 0a fa e5 ac bf 24 28 ab c0 44 21 bb 4e +1e 59 90 11 1b 9a c8 3c 62 43 5c 21 aa 25 fd 9b +49 07 58 54 11 d2 53 ba 9b 87 78 f6 24 05 3d 46 +fe 95 d7 e2 2c a3 93 81 c7 79 2e ff 46 43 8f bc +16 5e d7 62 9c 2f c1 ce f1 b3 4d 77 76 8a 20 55 + +# PKCS#1 v1.5 Signature Example 5.18 + +# ----------------- + +# Message to be signed: +ef 46 ae 51 e0 15 8c d0 ef 9c 78 d7 1e 00 15 67 +d6 6a e3 c5 e9 a6 4f 24 57 15 c7 c2 ad 8e ea 0f +9d 32 00 23 07 2f db 0f b8 6a 45 21 7f d7 12 cc +80 e5 b9 41 47 c4 5f e0 0b 69 2c cd a1 10 25 98 +41 b2 c7 e5 c3 dc ff 59 56 f2 a5 96 cd a6 8e b7 +7f 4c 85 90 d7 36 b8 fd 60 66 77 3e f6 f9 5a 38 +cd 38 4e 94 83 a8 9d c2 b6 c2 e8 74 5c 95 c1 2f +a6 72 a1 be cf b6 3e ac 9b 55 3e da 8d 29 37 54 +ec 39 47 ea c0 22 8d e2 63 14 b5 9b 66 99 4c c6 +0e 83 60 e7 5d 38 76 29 8f 8f 8a 7d 14 1d a0 64 +e5 ca 02 6a 97 3e 28 f2 54 73 8c ee 66 9c 72 1b +03 4c b5 f8 e2 44 da dd 7c d1 e1 59 d4 51 d4 bf +65 80 f3 e6 9c dc 02 71 38 2e 8d c1 4b c7 33 af +38 99 2c 1c d8 82 c7 b1 50 d2 3a 06 7b 9b cf 3c +cd ab 6b 0f ba 13 2b 4c 14 47 c8 7c 39 3f + +# Signature: +8c 1d e1 5a b8 6c bf 5b d9 31 7c e2 b8 fc 82 f5 +72 2d b6 96 1c 9f 55 51 40 f7 8e bd a2 4e 3f 51 +fd 73 01 c1 e4 fe 12 b6 95 7c 30 14 4f a1 e1 27 +27 46 03 dc 02 05 11 30 b2 53 85 fc 86 46 ee 96 +a7 45 50 d2 d6 3f 85 81 85 bb 98 46 52 a3 43 1d +53 3d a6 01 46 22 a6 4e 06 91 66 2a 4f 7c 9d 58 +31 9b a3 f8 5f 19 18 24 75 e1 50 9b bf 21 3a f0 +10 10 b4 b9 f8 2e 64 75 11 fc 97 c6 b7 c9 7e 8d + +# PKCS#1 v1.5 Signature Example 5.19 + +# ----------------- + +# Message to be signed: +f8 7b b1 2d aa ad 62 c8 64 ac 3d 44 4d 51 4e ec +6e 59 b6 7c d0 82 0d fc bd f8 51 ea 73 89 1f 58 +a8 be 6e 84 3e e8 77 3e 4d c1 c7 d7 42 da 82 ff +16 c1 01 1b 99 56 6b 9f 3f d1 7d 68 d5 ac 99 ce +f5 a3 a0 f7 53 18 76 9d c0 13 bb 05 5b e1 30 56 +df 49 a8 39 b8 39 52 51 39 9b 27 a0 bb 31 c5 54 +ae df 3d 9c 74 82 b6 62 0c 5d 7c 69 14 a5 64 db +04 a0 00 04 56 99 ee 1e 50 88 a5 b6 8d 81 4e fe +9d 13 0d c3 4e 2b d9 78 51 13 9c 73 46 07 65 b1 +f2 65 46 86 fe de 9c 9b 3e 92 40 9d b2 d4 2a 32 +ba 9e 20 bc ae b2 c4 f9 ff 9b 0e 83 4b 74 92 a2 +b1 d8 c6 5c 8b a4 98 34 2a e7 d1 d9 fe 74 05 c2 + +# Signature: +20 7a 34 8c df 68 4a a8 e1 a4 af 7b 7c 25 27 07 +ce 6f 1f 9d b2 29 1f 2a 95 a0 71 5d 9c 7f c5 1a +a2 30 11 0b 5b 51 8a 9c 8f 95 8d d2 0c 75 24 d5 +b6 51 06 d7 42 1b a9 fc fb 78 91 78 41 2c 36 40 +f5 40 b8 1b b3 18 97 d2 64 5e c7 9d 8e 59 75 04 +8e 45 22 61 a1 c2 00 9c fe ee 07 15 a0 1b ee fd +75 e7 04 b2 a6 f0 f0 ae 7e a3 6c 53 cf e3 6f 57 +f0 34 e3 85 44 8f ca ab 08 dc ff 47 7d 36 ff 15 + +# PKCS#1 v1.5 Signature Example 5.20 + +# ----------------- + +# Message to be signed: +4c 4b + +# Signature: +1c b6 88 12 83 dc d1 86 3b a7 9d fb 22 35 1b c9 +a8 e0 35 8b 2f 8a 1d e3 f9 06 5d 8c a8 59 31 4a +e1 12 13 a2 cc 87 b2 f6 32 ef a6 7d 21 03 f3 82 +00 b9 19 3e b8 d4 99 82 09 9a fc 74 42 8f 4b 41 +31 6f 48 78 b3 f6 00 bc 2f b3 04 58 cc 9c 2a 03 +4a 06 8e 98 d5 7a e7 9c e3 e2 fc 84 b6 a7 45 f0 +37 a5 de a2 b9 da 4e 8d b4 ad a6 9f b8 2d 20 a4 +1b b8 43 07 93 ee f9 2a 4f d6 18 6d 17 96 63 cb + +# ============================================= + +# Example 6: A 1024-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +d6 31 14 57 e1 ca f1 22 44 36 69 79 83 c8 6d d3 +38 20 58 62 d2 a1 05 ba f7 10 34 28 fd 83 53 a1 +9b 7b a4 22 8f 78 b4 7f 79 07 35 70 34 c5 2d 85 +97 da 2b 5d 13 dc 53 5b 83 6c 74 13 0a 36 48 91 +8d 4a 7a 83 99 0c 2e 28 81 6a ec 0f ca 01 d1 05 +c6 c6 52 ec 57 33 d0 1f 00 58 b2 df 5a e6 73 33 +40 5a 3a 5b 12 20 a2 6a c3 d1 42 f2 b4 d8 37 eb +73 86 a4 0a 74 cc 3d 1e 4f bc 64 fd 7d a6 3c 41 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +d6 31 14 57 e1 ca f1 22 44 36 69 79 83 c8 6d d3 +38 20 58 62 d2 a1 05 ba f7 10 34 28 fd 83 53 a1 +9b 7b a4 22 8f 78 b4 7f 79 07 35 70 34 c5 2d 85 +97 da 2b 5d 13 dc 53 5b 83 6c 74 13 0a 36 48 91 +8d 4a 7a 83 99 0c 2e 28 81 6a ec 0f ca 01 d1 05 +c6 c6 52 ec 57 33 d0 1f 00 58 b2 df 5a e6 73 33 +40 5a 3a 5b 12 20 a2 6a c3 d1 42 f2 b4 d8 37 eb +73 86 a4 0a 74 cc 3d 1e 4f bc 64 fd 7d a6 3c 41 + +# Public exponent: +01 00 01 + +# Exponent: +5e a6 11 77 44 2f 89 9e ba c5 d0 96 01 c5 ef c2 +06 6b 44 a3 66 b0 00 f8 3d 74 cb 97 d1 6e d6 e5 +f2 ef 0f f8 b5 ad 81 15 53 45 fc 37 39 1a 68 a3 +40 17 08 52 79 14 43 41 8d 31 bf 99 2a 4a 12 86 +6f e9 ff cc de bb bb a6 37 ee 88 7b 71 6c aa 92 +e2 49 ce d6 57 ee d7 1f 5c cd d9 16 3f 32 69 52 +5d 78 9f 4b 33 c4 8a 95 76 44 36 ec 32 5e 86 89 +69 1c 27 2d 90 bd 88 88 98 51 37 2f b8 dc b9 + +# Prime 1: +f3 d4 b8 51 ad 7a c7 78 be cd dd ae 71 b6 13 f6 +59 7c 70 75 c4 d2 8d db ae 1e fa cf 03 59 71 ab +63 ee 90 db bd fb da 43 25 a1 5f bf 84 5e ea 54 +bb cd 05 57 4b 1c d6 01 dc ad ba 12 06 28 05 b9 + +# Prime 2: +e0 e1 ad 57 d6 8f 30 13 28 8c 14 83 e8 c5 b1 2e +fe b6 ec 14 5a e4 18 8e 1b 3b 39 04 87 90 0a d2 +c3 25 d2 32 80 6a 62 17 34 2a 65 75 95 14 f2 26 +8f ca 72 c4 c5 bb a0 32 81 89 dc fa e2 06 ae c9 + +# Prime exponent 1: +3b b6 d2 d5 1d f9 3d b4 b2 75 d4 5e 8e 76 9a f8 +ef fd 6b c5 4b c8 8c f9 49 f1 48 57 3e 68 bf 4f +cc 0f 76 e6 79 e6 9e 13 67 b9 d7 ab 1d 8d e9 31 +8b 34 b0 a4 2a 3f 0b a2 35 1b 4e c0 6f 45 89 f1 + +# Prime exponent 2: +71 f4 aa 5c 8a 93 80 af 14 aa f7 72 68 b0 55 3b +15 44 28 99 9f fd 5a 1c 18 dc 87 e6 2d b3 e6 68 +2b 0f ad 56 7e 10 6a a8 8b 7c b8 71 3f 1c a0 20 +be 58 be 93 cc 07 6a 04 6d f4 28 90 d1 9c c5 51 + +# Coefficient: +23 1a b8 dd 9a 56 99 d7 97 59 11 ef 0e f8 7c 28 +dd b9 2e 24 6e c3 4c 5f ac 33 83 22 dd ec 89 8d +56 68 67 45 3d e6 d7 8a 45 c3 16 b1 45 a2 86 18 +94 0e 1a cd 11 58 c3 af 92 fa ab fd c3 97 84 32 + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 6.1 + +# ----------------- + +# Message to be signed: +8f 75 0e 65 95 1b 5d e7 58 14 b0 b7 66 30 dc 9f +1c 62 53 a0 59 0e ac b5 51 2a 8a 4e 1a 8b e8 52 +5d 36 94 1f a9 d0 92 f6 bb 44 22 aa 8c 0a d6 42 +3e a2 8c 10 ca a6 e9 54 b7 95 69 d4 4c 86 0f 1c +65 81 eb 17 a7 54 3e 7b f7 fe + +# Signature: +b1 8b 5e c8 8d 4e 24 c9 14 b6 65 ff 9a 2c 75 f4 +e9 19 37 df 8c 19 95 59 43 e4 51 ad df 34 84 e4 +97 97 8d 26 da 23 1a f1 4d 9c 29 27 ed 21 0a fb +f9 de e3 32 67 aa 45 68 46 49 e8 6f b2 25 a0 53 +b5 45 52 90 c3 20 e3 f6 40 62 3c 75 ca 42 37 21 +f2 80 b8 87 44 24 97 f3 2a 90 d7 8f 64 44 04 77 +ad 09 27 c7 ba 01 c4 4d a9 d5 c2 83 a4 38 be 0d +c5 80 a0 05 28 fc 65 e2 04 d4 2a 2d 4e 29 13 c1 + +# PKCS#1 v1.5 Signature Example 6.2 + +# ----------------- + +# Message to be signed: +bd bf 3b 36 40 73 fe 04 8f ba e5 5e 3c de 66 8e +84 f7 53 ab fc 71 0b 8c db 7b 6c 0c f8 2d d5 b6 +74 d2 1e 2b 3e 36 b1 b0 36 0d f8 bf 7e 62 27 c9 +2e 15 f3 d7 84 + +# Signature: +66 ac f0 43 bc 6a ae 81 a4 d5 2b 4e 8c 40 12 8b +25 c6 d1 0a 8c 69 8c 83 ae d7 1e 8f 35 83 89 8b +e8 f4 c9 be a4 b6 31 90 e2 15 26 ca f8 3a b1 4a +4f 8b eb e8 13 a5 ab eb 95 95 67 bb 2f 06 c5 f1 +1e 46 4b 5c df 7b 2a 13 2d 42 6d db ec f5 85 90 +0a 0d 80 92 ca 52 b6 dc 0a bc 35 f1 40 94 69 89 +46 e1 cd 0e cd 6b d4 1e 2c 6f 96 3e e8 9c 82 19 +3e cc 5f d4 76 30 d3 4a d1 6c a2 47 9e af 06 2d + +# PKCS#1 v1.5 Signature Example 6.3 + +# ----------------- + +# Message to be signed: +3c 5c 74 bc 8f ae 80 7a e5 8b d2 13 e6 27 2a a3 +85 79 31 57 5c 2a a2 be 4b ca e4 d7 9a e0 87 b6 +b8 6f 91 5d f8 c0 96 c1 22 ed fb dc 79 7f 9d 70 +b9 76 13 97 fc e3 d3 e0 b8 a6 f2 56 db c6 60 5b +a9 48 d5 fb e6 f5 24 5c 02 95 ce 5d d7 3b f7 43 +65 17 f7 c4 22 2d 2c fd 85 42 e7 a1 00 cf 05 13 +04 a1 ab 6f e0 05 da 07 7b 62 87 8f d0 b7 41 e6 +27 1e 0d 34 6b 20 72 3b 7e 00 b3 b8 19 4e 1a 46 +0c 6b f2 56 00 76 82 90 c1 dc aa 2f 41 b9 41 a6 +4f d9 02 14 d5 16 6d 78 aa bb af 7e 41 d2 4f f6 +36 c9 76 2f d8 92 19 9d 2c fd 9d ed a5 00 51 e0 +01 b9 fd 3e 5e 22 27 ae cb 15 c1 b3 13 71 b3 5a +78 b3 b8 b7 63 63 76 f1 34 56 2b 4e 52 f4 51 b7 +41 a1 9a c9 32 56 9f f3 04 1f af 12 27 9f 90 + +# Signature: +5e 89 7f 87 9b a4 6f 67 11 2c d7 c7 c6 fb 27 37 +ad 79 3a 87 28 79 05 2a 88 45 7a f5 e9 d5 99 59 +a8 48 13 4a 68 24 de 3a 67 4f 72 a9 06 87 9e 95 +be 0e d8 7e a9 f9 74 a7 a0 7b a9 ad be c2 fb fa +02 94 37 8b 14 e7 35 f5 5f 40 3c a0 53 08 4f 51 +d3 d3 42 d8 af 9c 64 b4 d1 54 ad 9a a3 c6 bc aa +ce 1f 1b be 62 ee b5 d0 e6 c4 c0 30 93 c2 af 0f +07 88 8b 8b be fa 79 40 03 23 13 3f 77 6a 32 13 + +# PKCS#1 v1.5 Signature Example 6.4 + +# ----------------- + +# Message to be signed: +42 56 46 65 0d 6b 37 9e 16 e1 5b f3 85 3d dc 9d +44 4f 44 53 5c 49 3a 37 03 b0 01 63 af 34 76 df +37 2a 5b 28 f3 34 c0 86 03 13 e8 13 6d e6 08 29 +1b 33 78 38 1b 9e 21 eb ef 24 82 5d 12 + +# Signature: +a6 a0 cb 02 48 1a f2 48 ab ae 89 cd f4 16 1f 67 +76 d4 71 08 f1 8e c6 e8 43 7c 22 4a 14 f4 52 ad +a1 36 52 0f 0f e0 10 a7 34 5a f1 97 1a 02 e4 bc +f8 c9 8b 26 c5 b8 c6 00 3d e4 d2 b4 07 2d 8d ef +1e 19 23 d9 cc e0 a6 75 14 1d 37 87 3e 59 48 ea +6c 8a 78 0e d2 a5 ec c2 ba 9a 81 20 6c 7e cc c8 +0e ac 02 6d b7 d7 60 22 3a a2 38 7a 18 2e 98 d6 +6f 1e 23 df ea f3 51 5c ee 4f a1 ab d4 64 b7 68 + +# PKCS#1 v1.5 Signature Example 6.5 + +# ----------------- + +# Message to be signed: +f4 7d 87 bf d4 88 af 5b 24 db 34 ad 0c 13 1e fc +a1 0c dd 1a ae ff be 6e 36 48 47 22 ed 68 09 b1 +d5 7a 18 3b a0 3d 5e 40 5d 12 56 b2 50 5e cb 84 +db 35 df a9 4d e8 5d c2 a1 58 8b 6e 83 12 4c f8 +6c 5e 91 66 86 0d 4d d4 71 70 43 2b 08 ae 6a 6e +30 87 10 86 fa + +# Signature: +6c 00 8f f0 e1 28 fc ec 26 5f 37 9e b0 83 db 50 +62 4a 27 98 f9 33 67 c6 d1 6e 5d 95 a9 89 f4 f1 +ee d0 cc 4c d8 61 c6 a5 24 f2 b9 fa 30 e8 86 f1 +47 77 41 d7 ea 8a 60 df 14 0a ec f3 a6 cc f0 04 +3d ab 92 cb e7 29 53 cb 1c 18 41 e0 59 18 ec ed +5b 0f 69 4a f9 a9 8e c7 f4 e2 28 6d 23 3d fd 35 +13 2a 0b 58 4b f0 e0 dc bf 05 11 9c e2 e3 a4 d8 +13 cf 02 8f ec 48 c3 4a 18 81 eb b5 31 ca 48 9b + +# PKCS#1 v1.5 Signature Example 6.6 + +# ----------------- + +# Message to be signed: +03 18 78 d5 88 ee + +# Signature: +cc 15 4e 1a f7 13 f2 f9 5e 16 f4 11 17 5d 98 36 +ad 6d 8b bd c8 f9 8c f0 5c fa 00 58 23 5d 1f dd +e0 40 82 76 4c 29 dc dc c5 9e be 26 57 8b f9 e8 +ad 6a 5a a8 6b 9d 62 91 4b 4c f6 96 a8 ec 2d a8 +79 f8 fa 42 31 46 31 32 ea d7 bb 3b e7 50 ae 0c +56 28 a3 96 b7 0a df a2 7b 40 34 23 b1 00 18 f9 +d2 4f ea 33 70 30 14 7f bf aa 15 d4 75 32 c9 25 +7c 2c 7f 54 1b 5b 97 4d 15 dd 1e 3f d2 e2 0a 69 + +# PKCS#1 v1.5 Signature Example 6.7 + +# ----------------- + +# Message to be signed: +27 26 38 52 ea a9 60 bf 76 71 87 6f c7 90 0f 89 +8e a8 2e b2 b0 fc 41 85 65 fd ae 62 f7 d9 ec 4c +e2 21 7b 97 99 0d d2 72 db 15 7f 99 f6 3c 0d cb +b9 fb ac db d4 c4 da db 6d f6 77 56 35 8c a4 40 +11 5d 3e 5b 3d eb 1b a1 bd 90 ca 12 86 fd 10 0c +af 9b e4 85 a4 4a 38 45 00 57 18 10 4b bd fc 5e +78 1a 9e 37 d6 7a ff e5 56 dc a1 0f 8e fa 39 f9 +cb 63 92 a7 2e 3f 28 25 81 1a 2c 05 af 84 af 9b +e7 f3 71 db d4 10 6d 9f + +# Signature: +94 79 8d 17 94 78 bf e0 6d 96 a3 4a c9 9b c9 d5 +de 35 dc 46 97 ac 3f 70 e9 b3 4c 95 e2 2b 1c 30 +d1 42 6b e3 50 8e 62 2c 1a 18 ab 3c 46 72 fe 3d +e3 40 eb 51 0f b9 87 b5 3a e9 3a 59 af 6b 00 bb +ae e0 e8 27 08 e6 c6 ae 82 c8 45 53 24 01 78 36 +db 17 66 0d 06 9d 80 27 1e 1e a9 98 11 63 b1 4b +66 87 6d fd 12 8f 09 cd 2e 3d 6a 36 b7 3c 3b 40 +ad 8e 13 24 84 90 29 c8 b8 e3 c8 89 4e bf a1 94 + +# PKCS#1 v1.5 Signature Example 6.8 + +# ----------------- + +# Message to be signed: +a4 fb 21 03 d0 be 29 0e 99 60 16 a4 39 46 2e 6b +bd b0 72 4d 86 cd 51 85 91 33 ca 3d 39 da b7 7d +a2 06 9d 82 83 58 96 38 7c cf 3d f5 cd d7 a5 79 +3f 22 3f 3d 92 3e a4 63 51 35 31 ad a6 67 ab fe +f7 53 98 c7 a4 bc 6e fa dd 4e de ef 35 ab 8f 54 +01 e0 da f7 c2 fc a1 cd bb ee d3 bc dd 09 33 ff +3e e4 c5 e2 88 ab df 21 9e 36 a3 ee 6f 21 08 41 +a0 3c 9e 3e 4d ac 18 12 24 82 ef 85 f4 9f da cd +c5 02 d2 79 f1 57 7b e7 7a 4e 00 b7 c7 f1 7b a5 +da 6b 28 c0 1a 07 a8 63 df b2 1c 15 6d a3 20 01 +f5 3d 7e a3 fc b8 c9 55 4f 07 54 59 a6 7c c3 c4 +e6 9a 6a 37 17 87 87 46 3c eb ca ed a6 49 0a 8f +80 b3 92 de f9 f2 2a 4f + +# Signature: +72 66 70 c9 51 0b 58 35 4c 8a f3 2b 41 db 8f 69 +21 07 c0 c8 76 e5 52 73 a8 20 a0 c3 0d 39 24 46 +0f a5 bc 33 df e1 9d 72 e5 63 49 28 2a 80 fb 12 +a8 fa 9e a4 a5 da 69 c5 82 d7 c6 41 22 a8 a7 91 +b3 21 2c 39 e0 28 26 5b 84 54 df 71 5b a3 0b 00 +3d 12 91 69 cf 12 51 1c 0d 3e 7a ae ce f3 79 2c +f1 85 64 4c f8 0e 44 81 47 b1 a7 96 1a f3 84 41 +7d 18 2c 6f 85 52 46 da d5 b8 93 d9 a7 68 0e bc + +# PKCS#1 v1.5 Signature Example 6.9 + +# ----------------- + +# Message to be signed: +e5 50 6e 04 b1 91 84 10 76 85 87 25 a9 fd d8 f9 +74 5f 24 2e 99 49 4a 42 3f 80 36 74 74 27 1d ce +95 a9 9a 2f 71 13 4f 39 fb 3f 2e 47 c6 a0 b2 fb +6f 61 5b 0d ee 6d f3 3b 28 f8 b0 d4 1e 92 d1 42 +b1 46 e8 cd e9 b1 1d 6e c1 d3 7d 71 fd 82 b7 19 +ce 1a dd b8 21 ca 4c af bd 2a a4 f1 e6 11 a2 59 +e5 f0 5b 53 1f a1 1e 3b 67 1b 7a 5b 10 b4 c8 15 +6c 25 b0 a5 9e c6 e1 58 f6 d3 46 d8 48 04 fc f9 +2a 72 76 8f 4e bc 93 5e ee 5c fe c7 f6 e6 e8 3c +be 15 8a 13 27 5e 84 18 3a 94 d7 24 b0 e9 66 96 + +# Signature: +34 22 0e da fd 4a c8 84 b9 d0 0f bb fb 71 a4 a6 +c4 d4 b7 1c 19 84 22 05 07 99 d0 c0 fd 54 e9 09 +a4 ca d2 29 8f aa b3 34 7a 0a f0 d2 7d 53 01 a8 +86 00 9c f5 c6 f1 25 df c1 13 1a ce 38 8b b2 14 +c2 84 44 20 c0 23 db c8 b4 a9 66 11 b3 b3 93 ac +c3 83 94 90 fc 4e e2 d3 69 b8 c3 c8 76 57 22 83 +ef 34 d7 0c 64 03 ef 9e 2e 87 a2 76 b2 35 72 ed +82 e2 40 22 67 c2 73 7f 75 bb 4a 27 d3 cf 16 d2 + +# PKCS#1 v1.5 Signature Example 6.10 + +# ----------------- + +# Message to be signed: +8f c9 cf a7 21 df a0 9b a0 72 9e f9 18 9e 54 27 +b3 e7 38 c5 ae 38 a2 65 7f 7c 7e 31 4a 49 ca eb +a0 fc 9d 45 40 f5 f8 d6 c0 47 53 60 0e f6 b9 c3 +39 65 40 f8 6c 11 75 b6 0b f4 0e 3d 8c 84 51 35 +5e 13 74 f4 30 43 c0 c6 aa 41 d3 79 6b d8 27 9b +3c 30 62 b3 74 99 6b 7e ae dd 4d b0 ae e8 c9 4b +93 b1 71 fc 41 1d 4d fc 37 28 d0 23 15 58 cf c8 +fa 45 f9 51 b3 5c 9d 46 12 18 a6 50 c7 02 ce a9 +3b b3 fa 14 36 ed 44 5c 95 24 9d c2 20 54 71 01 +b9 a9 3e b0 14 cd 84 3f f3 9c e4 c9 6f 82 a3 9f +86 3a 4c 2e 1f a9 + +# Signature: +a2 6e 7d bd 5d fe 08 c7 2b d8 0d 5e 26 68 d5 d7 +2a bb 1a 0c 04 20 ff 0e a8 6a 9c 76 08 c4 70 e1 +c3 f7 2e bf 44 5d 12 18 71 81 41 55 58 dd 03 eb +e4 07 aa 06 b5 16 47 ba fe 0c 85 f3 d3 b8 dc e9 +0c eb f0 a0 ee cb ac 12 28 e7 85 82 0c 4f 90 9d +2e f3 92 f0 31 17 56 1e c3 8e b0 d8 8b 02 32 72 +a4 28 63 51 62 0f 21 04 3c ca f7 50 36 84 00 29 +57 ef 79 bc ff 9d 1c 20 1c 42 e0 96 0b d9 69 79 + +# PKCS#1 v1.5 Signature Example 6.11 + +# ----------------- + +# Message to be signed: +96 1f e3 4a 21 2c b0 e6 f6 dc de cf 1a 4c b7 b2 +14 39 0a 77 f4 4d 3a 3b 3e e2 b1 2f 1f 0e e3 14 +2e 9e af 70 89 55 ec 83 7e a1 d0 d2 95 4e 6c e9 +50 f3 4c 87 30 54 8f 2e 09 5d 5d bb 93 8b 19 0b +73 8b ff 81 71 93 02 b6 79 8b 76 8b 0b bd d2 e2 +b9 67 2d 89 14 05 c7 71 a7 79 02 fd 54 27 42 5a +f0 4e 21 b9 1c 5f 39 37 20 41 e4 94 d9 be 62 de +ce 31 bd 8a 26 2f 6d db 84 9f 06 8a a9 9f 7d 62 +62 e1 84 ab 9c b1 62 24 47 d6 2f f6 71 09 20 30 +70 71 c2 72 be 0b b3 7f 0e ef 64 5f 99 ea b5 1b +0b cb bb 64 87 d8 d2 b4 9f 3f 23 e0 aa 91 8c 89 +ac 85 56 53 e1 cc c0 05 91 58 0e 0c e1 e3 87 79 +c0 4b e7 df 1c 66 63 ac d9 93 7e 47 2b 3e b6 d4 +b7 0a 08 0d e8 e0 35 48 f5 12 45 be 7c e0 b8 6d +ee c1 76 e0 0e 54 bd 63 bd 5b b0 2f c9 54 + +# Signature: +98 ac 47 73 59 15 9e 93 e1 b3 36 ee 05 60 6d 42 +b7 e1 25 0d 12 95 60 c0 d0 95 f8 f8 ea 3c 04 74 +32 a9 9c 1e c4 bc 88 7d 7f 07 f6 1d f1 6f 0c 09 +f7 15 b7 05 38 8b b8 a6 11 87 34 6e 8d 7b 07 ea +b2 fc 05 db 89 e0 30 09 44 ae 37 73 e4 4c b9 2c +5c f0 f4 fb e0 1a 05 ad 79 bf aa 24 7f 83 ed 1e +da 48 ba af d1 e1 80 07 8c a8 d3 21 d5 0b 42 57 +87 f0 12 43 a4 93 37 4e 84 f5 cd 56 b7 53 d7 ac + +# PKCS#1 v1.5 Signature Example 6.12 + +# ----------------- + +# Message to be signed: +96 ff 0a 5e ca c9 51 16 bd 73 43 79 5a f8 3c 87 +ed 9f 83 45 d0 3f 6f 32 2f 29 54 93 f4 0b 19 ba +8f fe 2c 89 8c 7b 20 66 21 f7 2e 02 c7 f0 f0 0f +9f 1c 52 3d 73 d3 35 a2 6c ed dc 73 98 b7 ca 20 +09 ca cb b1 82 83 b7 6b 28 15 d1 e9 01 00 09 6e +95 b8 85 30 f1 c4 8c 39 61 c4 35 bc e0 28 9f f6 +2e 21 bf 4d 3e c8 99 c8 7e 14 c8 ea d7 92 2e 79 +5e 3e 6f 41 80 c0 89 9e a0 + +# Signature: +7c 7b 01 57 f6 a5 09 09 51 09 63 28 2f 00 11 1e +ea 70 19 37 54 e4 27 a0 2b 34 6f eb 68 2f 4c 71 +87 bb 38 1d 31 d2 3b 94 76 88 43 24 5a ad 53 61 +fc a4 2d 8b 28 4c 8d 92 e6 fb 99 2f a7 71 2f a5 +a9 31 55 df 02 0d 30 0a 3b f8 98 86 66 8c f3 7b +d1 3b 55 0a db 2d 2a 86 c6 9d aa ac dc 50 30 dc +84 34 3c 8b 49 34 f0 3c dc 0e ef 0f 6c 1e a7 ec +09 62 00 79 03 b4 48 21 7d e9 3b 75 07 54 9b 2e + +# PKCS#1 v1.5 Signature Example 6.13 + +# ----------------- + +# Message to be signed: +32 a1 2e 0c 67 0e d2 15 ae 54 49 a0 91 7a e9 5e +23 db 80 3a d2 8a 18 42 ed fa 90 bc 40 5d d8 9a +1b 46 8a ce bd 08 fe 9c 69 3d 8f b1 05 e8 22 2e +b5 7f 79 e4 b2 27 00 e0 7f 27 6d 4a ec c7 a1 5f +b7 47 33 06 56 27 b8 79 b0 16 ee d4 ab 4a 1c + +# Signature: +85 b9 0e b8 26 51 4a 0e c0 fc 1b dc 34 86 a8 dc +8b 0f 26 3e fe 57 cf 17 50 a4 2a 6b 5b 99 72 64 +fa 61 78 64 83 7e 63 9f 45 d9 20 58 41 cd c1 34 +ab ea cf 6e e0 ec da 09 b9 8d 76 9f 51 f3 94 7a +33 58 7f f0 c8 dd 01 b7 f6 b2 4a 2f bf 29 c9 ff +f7 37 ee e5 6a da 2c eb 74 6b 02 5d 95 65 22 d9 +20 d1 2d dd 13 db a0 8b 20 e1 ee e1 3a 8b 25 80 +e5 92 c3 4e 39 33 37 66 11 5a 23 b9 d0 0e 2a 42 + +# PKCS#1 v1.5 Signature Example 6.14 + +# ----------------- + +# Message to be signed: +bb da 73 cb e2 bf f7 ff 53 62 eb e9 32 c0 a0 dd +68 ac 84 ee 99 8f bf 59 a2 a9 26 55 20 32 31 63 +b3 0d 9e 70 08 b9 4b 0c 0e bc 5f 6c 4c 97 3c 13 +ff 15 3d 31 69 0c 3c 95 ab 23 1f 0c 9e c9 98 fb +fc ad c2 8b 2d 7f 06 50 7e 17 d2 1e 82 da + +# Signature: +26 f9 52 b6 57 fd b9 a1 1d c8 43 79 0c 9d 2a 6a +51 c9 76 10 1e fb 82 d0 53 60 67 62 ab a3 3a f6 +28 0b de 38 15 e0 87 4d 60 78 75 38 42 e5 b1 c9 +0c f7 99 12 20 fc fa 62 28 49 43 69 0c 30 1e 9f +c6 e4 79 af 68 b9 69 47 85 be 40 d4 69 86 a6 2a +12 1a a9 ad 0d e9 69 52 1f 1c b8 e7 c4 bd 70 c7 +c8 cd 7a 9d 13 54 e7 d0 aa 0d 85 d6 d7 aa 00 e4 +64 90 26 d6 f0 70 f8 b3 c2 7c 98 55 6b ea a4 c0 + +# PKCS#1 v1.5 Signature Example 6.15 + +# ----------------- + +# Message to be signed: +2c 32 5d da f6 52 6a 1e a3 51 8e e5 e5 40 7f 03 +90 e0 eb aa a5 f4 72 a1 e9 ab 46 f7 46 d7 1b a2 +e2 17 fa a8 17 99 bf 35 8f 95 e9 83 08 27 0b 18 +a0 01 99 29 a2 88 d0 c9 56 e0 bf 17 c5 19 8c eb +2c d9 fe 40 d7 02 a4 4e 56 45 ec a5 b4 39 ab ca +7b 2c 6f 95 ac c3 c2 c3 65 19 5c 79 5e 91 d6 3b +3c 09 33 24 4f f1 25 63 af 66 22 a4 0c 74 15 db +60 a7 8d ca 02 60 25 14 39 53 8d 38 aa 38 28 9d +92 88 86 ab 12 87 36 a6 a8 73 9c 14 55 c4 84 9f +2d 54 56 45 37 93 + +# Signature: +6d 1f 20 3d c3 ff a7 a3 34 d3 1b 9a 75 e0 12 58 +1b 8d 62 b2 bf 73 80 0b e5 1d 02 65 33 99 83 18 +c0 ca c9 2a 02 d4 6d 75 9b f8 0a 41 da a0 a6 a2 +9f 4f a0 bb 60 66 4c ac ad e2 4a 65 cb 47 65 11 +09 be ec 82 31 91 95 25 d1 47 32 68 74 55 78 db +9e 30 64 10 8a e4 6a 48 70 f1 80 66 78 9b 03 66 +a7 d0 ce 37 e0 30 b5 89 46 ec 8c 1a 14 11 54 db +0e 26 1b ef 8b af 2e 9f 65 fc d1 6b 7d 57 97 b6 + +# PKCS#1 v1.5 Signature Example 6.16 + +# ----------------- + +# Message to be signed: +29 85 e8 b5 50 81 2f b6 6c 18 f8 0e 6f 09 2a 94 +5d 09 15 83 86 1b 62 5d 1e + +# Signature: +2e 84 30 13 cd 5e 79 5e 21 66 c8 e9 1b 06 c3 13 +1d c3 a5 e1 21 36 d7 16 0f fd 11 bb ef cf 6a b6 +40 e0 5d 76 e0 c6 1e d3 06 f6 08 6b bb 56 7c a8 +7e 40 c6 92 4d 5c 84 a6 ce 28 a8 39 50 bd 4b 84 +e2 7f c5 06 9f d0 62 4d 50 ea c2 4a 94 11 b5 f7 +67 85 d9 db 5d a3 0f 42 56 95 b0 19 b8 4c db b8 +25 bd 46 e7 35 2e 08 f1 14 c8 7b 06 6f e4 3d 10 +56 a2 c6 10 ce a7 e3 d3 dc 98 bf 44 97 eb 4f 13 + +# PKCS#1 v1.5 Signature Example 6.17 + +# ----------------- + +# Message to be signed: +77 78 8e 83 8b 83 4e 8f 4d 04 5a a8 94 b9 0a bb +85 94 0c fc 58 d7 72 5e 7f 37 3d a5 54 71 37 c6 +0b ea 75 1e 01 42 bf 9a 6f 46 49 ae b5 46 ed 56 +0c c4 ea 15 62 d4 a5 fa 3e b1 b1 14 77 a3 05 1e +24 c6 06 b8 a7 1c 1a 77 4b dc f1 a5 31 0f ed 55 +59 23 73 0f a8 af 4c 15 80 0d 36 2b 37 ad f1 4f +7a fc e7 8e fa 6b d8 93 56 3e fe 0b 3b 82 8e bd +49 9f 12 a2 fe 33 2b fe 46 dc bb 31 4b bd bf 69 +08 7e 2a 66 5d f1 10 83 5d e5 5d 61 e5 c2 02 5f +d8 db + +# Signature: +8e 5f 33 53 c4 9c bb b2 ea 69 6a bb 57 40 ba e0 +15 ef fd 95 0d 56 07 13 76 05 a1 00 c4 a5 3f 1b +95 17 6c af 34 9f 4f d5 88 ae dd dc f5 06 0c cb +72 47 8c fb 09 85 62 f3 4d 8f 8e ba 44 6a 38 47 +56 5a 7b 89 55 ad 9e 0c 6e b6 70 99 e1 a4 6c 3e +b2 d4 9d 90 90 ae 5f 63 e8 a0 8b 6e 8f 21 f0 03 +e4 51 d2 50 ff c5 a7 90 d6 6a 0e 2e 3e 28 a6 33 +9f e9 1d 11 29 21 f5 5d 12 30 30 6f ad 5c 01 90 + +# PKCS#1 v1.5 Signature Example 6.18 + +# ----------------- + +# Message to be signed: +1d 59 9d 76 2c d5 4d f7 0f 1a 09 83 bc 3e a2 bb +ca 6f cb bd 16 26 03 ba 81 56 10 77 fd 92 84 92 +5c f1 f1 b0 8b ea 1e 70 bc 59 5d f0 b3 43 b8 3b +9c f3 d6 34 f9 5e 37 e8 d1 c5 85 fa b1 99 + +# Signature: +71 74 97 a4 e6 0d bf fa 19 6e ff 75 8e 90 1c e1 +fe 6e 2b c7 e1 d5 3a 3d cf 62 25 67 1a f1 46 c5 +de e2 00 a8 14 f4 89 8d 16 a9 b5 f5 08 dc 9f de +4d 64 07 0e 55 ae 3b 1f df 79 19 f4 2b 7c ff b7 +e9 28 c4 ca eb 55 2d c6 fd 08 18 34 b2 dc 2f ed +07 e7 e6 27 d3 4b 39 10 ca 71 3b f4 15 4e ff 99 +96 57 36 15 18 fc e5 a8 f6 42 dc 9a 18 a6 6e de +22 19 0f 60 aa f9 58 d6 24 6b 00 a0 32 c3 98 41 + +# PKCS#1 v1.5 Signature Example 6.19 + +# ----------------- + +# Message to be signed: +da 51 00 86 60 b6 3b 87 67 e6 5f 12 c6 30 8e c1 +8e d9 57 5a 42 6b c5 fb e6 60 10 ec 3f 01 17 5f +fa 57 41 ea cc dd b0 2f ce 7b 2e f7 78 44 40 d7 +2d 37 52 20 3f 53 4e 52 fc f6 26 a8 c5 96 51 3f +41 90 64 bb ba fd e7 f8 d6 5f 30 d7 ca 68 71 89 +70 de 71 fc 8c 0e ed 4d a0 0a 4e 1a b5 41 02 d9 +d1 65 bd 7c 54 af 5c 31 c1 5c 05 bc a5 5b 6f dd +19 10 86 a5 3e 52 96 f4 84 c3 47 d8 fb 94 5a 10 +c4 94 49 75 27 32 f6 2f 34 c3 25 15 58 86 51 13 +79 19 28 5a 2c 8e f7 b4 aa 0e 69 0b 0b 65 43 7f +f8 d5 6f c9 5d cb c3 e7 8d + +# Signature: +32 67 72 28 ff 08 c6 6f d0 3b b3 1f 0d fe 89 01 +53 b3 44 6b 57 eb 84 ef 39 56 20 8f 72 a0 7c 87 +67 e6 bf 09 f0 38 bc f7 f7 35 ee 24 a1 f6 40 a1 +89 8d 40 9e b5 3a bd b6 93 94 27 34 56 9a f7 1a +4c d9 9a 65 20 ba ca 5d 42 86 b1 99 cc 67 62 8e +2f ca d2 96 a3 0e ca 49 9e b8 80 50 7f 6a 37 44 +0b 61 c1 28 4c 40 3c 41 32 1b 99 05 3f 5d 69 72 +8d 5b 97 35 76 cf 04 74 83 33 d8 08 d5 e6 8a 8f + +# PKCS#1 v1.5 Signature Example 6.20 + +# ----------------- + +# Message to be signed: +8c d2 da d2 a5 d5 f9 fa a0 7e 24 a9 6e 86 f9 b0 +ac 8b 40 22 2a c9 fb 8a 8a 15 72 7c f2 f5 3e 68 +4a f4 ab dc 98 68 a7 25 3b 25 b0 96 bd 70 1f 46 +a9 43 + +# Signature: +8f 03 22 eb 2c 54 05 24 85 a6 45 49 ad ff 2a 36 +31 db 65 76 fc 0c af b5 51 69 7d c5 35 6f 02 e0 +93 cb 69 17 3a 7e 83 55 a0 da de bf a5 3c b2 90 +7f 00 2d b3 a3 e3 87 da 05 7b 7c 73 55 16 43 84 +3e f5 74 48 1f 80 74 15 17 7e 4b 34 c2 5b d5 5f +4c 02 fa 0a de a3 a9 58 04 65 f3 58 c0 05 96 b5 +cc 06 2d 58 92 30 3e 1a cc 11 3c 3b 4b c7 4d 42 +e8 58 02 90 78 48 2a 1b 23 4a 62 5b 04 28 44 06 + +# ============================================= + +# Example 7: A 1025-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +01 69 34 cd ff 48 50 b6 00 2c c0 f0 f4 01 0a 32 +c6 55 e5 cf 6e 7c 89 93 7f d7 55 ef 6a be 37 9d +ad de 70 cc 21 77 51 f1 4c ba 6d 90 fe 52 dc 0a +f5 8b 25 2f 26 bf 72 da 57 9f da f5 7d dd 6c d6 +02 18 79 94 9a 02 76 b4 43 3f f0 1e fc cc f3 5a +11 e7 c7 7b 38 c1 8c ca 94 ae 01 2d 0f 37 04 21 +49 1c 52 ad 15 ac 76 b1 2e cd 21 8f 52 e7 57 86 +6e 08 9d d8 ad bb 48 e9 ba 89 43 36 c5 75 c4 06 +55 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +01 69 34 cd ff 48 50 b6 00 2c c0 f0 f4 01 0a 32 +c6 55 e5 cf 6e 7c 89 93 7f d7 55 ef 6a be 37 9d +ad de 70 cc 21 77 51 f1 4c ba 6d 90 fe 52 dc 0a +f5 8b 25 2f 26 bf 72 da 57 9f da f5 7d dd 6c d6 +02 18 79 94 9a 02 76 b4 43 3f f0 1e fc cc f3 5a +11 e7 c7 7b 38 c1 8c ca 94 ae 01 2d 0f 37 04 21 +49 1c 52 ad 15 ac 76 b1 2e cd 21 8f 52 e7 57 86 +6e 08 9d d8 ad bb 48 e9 ba 89 43 36 c5 75 c4 06 +55 + +# Public exponent: +01 00 01 + +# Exponent: +0d 17 19 e5 bd 47 6d 87 c7 ec c3 1e b8 ab 42 5d +4f e4 c8 f5 c7 ae 23 0a 10 47 55 3f fb 53 9f d3 +85 5a f5 a4 3b 2d dd 4e 95 a2 b3 0d 40 7a a8 81 +59 bb ad 2a 87 3d 80 93 b4 8a 4b ce 20 ad 99 26 +25 3e d3 39 ac 3b 54 3f c7 42 96 95 33 8d b0 bc +1d c3 68 6c fd 13 9b b5 b2 87 36 bc 16 60 a9 53 +48 fc 91 c3 25 d0 3a 7f b2 16 d2 d9 cd 93 64 de +4e e7 d2 11 9c 3b 0f bb a8 a7 1f 0d 3f 5a b9 b9 + +# Prime 1: +01 58 c0 24 6c d1 69 fc 59 3b 25 8b bf 45 23 ab +2b 55 c4 60 73 3a 7f b4 69 10 90 77 b3 0e 4d 35 +f2 1a 35 b1 f4 1e 42 04 e8 1d 2e 4c 46 3c 24 11 +39 34 09 8b 45 2d ab 4b e1 59 97 20 ef 68 72 83 +3d + +# Prime 2: +01 0c 38 2d ea 5e 7d 79 29 8c 64 1f b2 e4 fa 09 +f2 4f 6a 7a 45 9a 88 2c 87 a8 03 49 5f 05 6e cc +3b 43 c5 37 73 1f 85 ef c8 fb 53 87 ad 67 31 a6 +43 53 32 15 de cc 38 7d 96 76 12 2c 17 0e 91 e0 +f9 + +# Prime exponent 1: +d5 78 dc d5 38 f2 fc dc 30 00 b6 c0 f0 49 fe e2 +ad 90 14 fd 24 fb 10 b6 82 18 42 d6 70 03 a5 64 +cd 8f f4 2a 2a 56 4c fd 81 9c 3a 84 bf 16 c2 47 +7e 8e 6e 5b 9e c4 d4 0e ad 50 24 87 ba 50 36 2d + +# Prime exponent 2: +88 88 dc 8e ae 94 ee a5 80 ca c2 fc 1c e5 4f 44 +e2 ba 50 0d b8 71 53 41 a6 fc 2d 50 4a 82 b1 42 +05 e8 91 a6 6f c8 8d 5c 60 db 8f 78 6c cc 70 57 +5b 35 66 be a8 74 a5 31 7f 5f 16 c4 91 ed 1e 79 + +# Coefficient: +17 b0 d6 23 36 19 1e 63 bc a1 59 93 4d 06 16 cb +89 97 40 9c bf ca 37 05 69 5b 14 fb 64 a0 81 c1 +c9 f5 86 19 3e 52 3a bd 0b eb 8d 72 0c fe 53 7d +fa 1e de c4 a6 64 37 d2 41 19 6b 7a 2c e5 56 c4 + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 7.1 + +# ----------------- + +# Message to be signed: +35 39 99 7a e7 09 fe 32 c1 03 6a 13 27 57 f2 a1 +66 7a 91 cc 83 be 73 3a ad a1 bd d2 17 92 4c 9a +2c 9f ed 1f ec f6 1d 1c f7 9d ae 9a 83 f8 ae 3f +4d 05 1b 34 fb b5 59 cb fd a4 92 f1 d8 3b 8b eb +a0 45 d4 ae 1c 8f ea 15 b7 57 7a 1b 8a 3f 55 ba +c1 72 7e dc a7 f8 f5 2c b4 ba 61 ca f1 fa 8f 8f +d9 aa c7 79 09 5c a8 4c 79 91 52 9f b8 06 99 d0 +d4 68 8d fd b1 42 ed 61 a9 5b 89 ce 33 06 bf 97 +80 e1 b9 1b 84 8c 8d 20 03 97 0e 52 70 2a 1f 61 +2e 2f 40 17 cf e0 a9 1d b9 e4 6d b9 dc + +# Signature: +00 08 0f 77 0a 2d 1f 6a bf 5f 22 1f 62 e1 66 ab +d7 9d 06 c7 b9 a8 78 d6 1b 80 fc 4d 5b a2 90 b2 +3a ba ab 51 8f 09 44 7e 45 ae e6 f3 bd 06 10 24 +44 36 a4 73 01 60 e6 a6 72 11 0c 01 ae b5 62 4b +71 8d c7 c0 86 1e 58 6b a8 b6 0a 29 d6 a5 75 5c +d2 cc 50 85 99 c6 e2 8d 73 55 b2 7e 40 b7 40 c6 +fb bb b1 a9 18 23 b1 c1 24 2b a6 93 d4 52 69 51 +47 db b2 3e a8 9c bf 11 eb 8b 07 ec 3a 02 7b 0f +17 + +# PKCS#1 v1.5 Signature Example 7.2 + +# ----------------- + +# Message to be signed: +31 80 08 87 3c 4c fe a7 12 5e a6 fd 52 15 df d9 +8d 5c 5e 73 32 3f 03 f2 15 c6 9c 8f 2b b1 98 3b +59 df a6 e9 9a dd 30 69 66 f3 11 0c 16 1c a2 26 +24 b8 80 70 26 5b 8f 3f 9d 5d f7 29 91 e7 9e 5b +18 9a a3 d9 cd 9b 20 47 cf a6 1d 01 23 4b 23 3d +36 ac 4b 96 ed 08 16 48 87 74 90 fa 4a 80 ec 4c +bb d9 d2 e0 06 2c 39 e1 85 3a 0c 38 34 4b a8 58 +bd 1d 99 5f 6c aa 28 bf 90 40 26 26 8a 99 72 11 +43 c8 6a 43 43 ba f8 9b 6d 55 07 64 25 1f b0 7d +16 7b 4c 4b 1b 70 f9 9e f5 fe 50 e6 2e 54 13 fc +ce 0f 99 59 c2 a3 78 c4 1d 6f 42 36 17 8b 14 b8 +91 9d b1 d0 + +# Signature: +00 6d 54 7d a4 ed cb 10 33 15 cb 8e 4b 66 9b ee +96 aa 21 56 23 5c a5 c3 e3 1b 24 a1 5a 13 92 e4 +94 04 7f ed cb 70 81 90 7c 56 17 a8 aa 18 d1 01 +b0 53 2a 36 32 45 19 23 c4 8a 75 b0 ec 21 76 cb +98 e5 ce 51 58 8b cf 86 8e 29 d5 d9 69 4f 00 ae +2c 92 4e 73 d2 e6 dd 14 4d 24 fa 45 d0 12 06 a3 +f5 d9 36 41 3c cb b7 4b 0e 2d 04 7d 82 b6 00 b8 +9d 51 59 4f ce 7d e6 bb d9 5b 97 fc fe c5 98 c4 +eb + +# PKCS#1 v1.5 Signature Example 7.3 + +# ----------------- + +# Message to be signed: +7f 83 b3 e0 54 c0 24 82 50 78 dd 9f 04 0e 1d 09 +05 82 00 c9 75 7b 76 fb 37 2b 8b 52 66 b9 dc 26 +9e c7 56 9d 00 + +# Signature: +01 34 ee 21 51 51 e5 32 50 f5 a0 01 6a cc e3 70 +1e 2a 58 dd aa d6 cc 36 9d f0 dc d9 34 6a 2b 53 +0f e3 71 5a fe ff 1e 9b cb 72 08 31 c1 25 58 97 +0a 9e 03 89 60 04 f2 87 ad b8 21 f3 17 cf 63 93 +00 ca e6 e9 09 e9 1e d2 a3 ea cb 99 52 a7 cc 54 +94 76 52 64 24 79 51 d2 8c 16 af 03 e2 4b 80 ee +32 b0 b6 2e df 10 d7 00 91 92 71 35 f0 5a 88 9f +2f 60 56 b9 5c dd ac e4 7c 69 f9 73 08 c0 df 2e +ba + +# PKCS#1 v1.5 Signature Example 7.4 + +# ----------------- + +# Message to be signed: +17 eb c1 50 07 bb 5e 4a f9 17 20 1c 3b a3 84 92 +65 89 c3 15 9a 89 d1 ab d4 c2 c9 86 fb a0 37 9e +8a f1 29 75 c5 d0 31 d1 bf c1 5c a9 17 36 f0 7b +17 66 d8 b8 a7 2d b1 0c 26 8c 98 fd 7a a1 1e 29 +99 f0 6d 86 12 7c c8 89 cf 15 0d cc 73 8f 6a b8 +ba ae 94 3c c6 06 dd 4d 9e ce 70 1a 4a 7b 10 1e +35 1d ee 20 b1 5e bc 55 25 6d b3 ce 46 a6 bd 50 +61 12 5b 62 b9 95 e9 70 d1 6f 7c 9a 8f c1 57 ff +68 ce c7 e6 0f 60 8f 66 26 dd 39 52 8b 24 09 aa +2f f9 32 fc 11 9b 2a 7a 81 77 2a 57 6b 3d 50 a0 +d2 87 a7 fa 2d b8 7d 2b 92 e1 c9 61 a7 0c aa 44 +d8 81 37 b9 50 e1 00 71 1a 98 54 ad fa fb 49 4d +34 e2 86 06 a2 7c + +# Signature: +01 05 da dc 99 c5 9b 5e 3a c5 54 b1 b5 e7 48 0e +5c 0a 62 c7 ab ae fd ac f4 42 6e cc fe 68 6b 8a +aa 1c a4 f5 1e ba bf fa 77 d9 98 03 e7 ee 8d 20 +d1 20 4a ad 8c 67 38 5d 07 44 c8 54 de 2f 99 7a +56 aa ae 04 ce cc 65 65 35 c1 6b b2 14 5d 18 01 +81 25 94 a8 01 3b 0e b5 4e 7b f6 5d 38 42 00 54 +ec 46 da c7 1a 12 52 08 b3 02 21 4a 7c 9b 3a 92 +ca 9b f7 37 39 c7 66 30 9a f8 03 ed de 7c 54 d2 +46 + +# PKCS#1 v1.5 Signature Example 7.5 + +# ----------------- + +# Message to be signed: +6a 52 ba 19 0e 44 ca 0f 10 70 02 10 48 76 2f 3e +79 ed 51 c9 4f 6d c1 a9 f1 ed 78 35 2e f3 79 aa +49 b3 a9 38 7e 3c a7 a1 96 f1 05 dc ab 18 50 6f +29 4a 69 + +# Signature: +00 0b 70 e6 01 c5 ec 58 68 4e 09 18 ba 7a 53 9e +9d 2d d2 9b 01 a3 f4 53 ca d4 a9 a4 0e 50 f5 db +df 72 c1 10 52 f2 0b e4 4a 5d 38 51 b0 1f d0 9d +9c 92 08 47 0f 0a 4a 95 03 5e 98 9e ed 7d 6b 06 +2e 13 f4 99 5b f0 93 0b 4a 3d 9b 8a 9e d7 5e 33 +88 6e 4b 19 4a b5 cc d6 b4 12 95 9c b4 f5 49 8b +d3 2f 66 85 46 be 2c 00 7a e8 de 5d 98 97 7b 94 +b1 7e 12 63 88 4b 54 e7 84 b3 8f c1 12 b8 cb dd +56 + +# PKCS#1 v1.5 Signature Example 7.6 + +# ----------------- + +# Message to be signed: +bb e0 b9 de 2b 5e 9d cd 31 67 42 94 3f 92 19 b2 +4f 66 a3 8f 9d e7 09 46 4f a5 49 5d 79 4a 63 7b +9e bc 06 77 62 da 7a 6e ef f0 98 fa 44 f3 cc 36 +f2 cc ef 67 fd 46 c5 9e 24 73 8c 81 0c 69 ed dc +d9 0c c7 d7 1a 4c 3e 69 3b ca a2 8a 53 3d 90 4b +41 ce d3 39 9b 4c 76 47 e5 ec 4b 3a d9 03 87 0f +5b 5f 8d 6a 8d 81 28 ae 23 81 ce c8 6c 4d 85 b7 +8a 45 1e 1e a9 7e 33 93 ff e9 97 e5 46 b0 9c 8c +f8 22 52 b3 3f 74 5f ee d4 13 32 06 51 8e 2b 88 +03 19 dc df 91 06 71 8a fb 01 6c 51 4b 38 05 32 +65 bc 98 79 10 0e 47 b0 3e ba 03 68 f0 9e 29 23 +ac 6f 40 a0 4b 75 05 4c d5 05 bb c8 96 5d 64 9a +1b ae 7b b6 64 3c b7 41 95 e9 1c 51 f4 18 3d b2 +d7 38 ce 60 35 50 d6 34 e6 dd 4f 27 f4 da ac 61 +56 cf a7 e2 46 8b 5d 6a eb 78 29 09 + +# Signature: +00 c2 e0 74 df bc d0 e7 3a c0 02 1a eb 99 33 10 +6b 20 1b 93 c1 7a 7b f9 33 56 d2 91 fb 4a ae b3 +d1 31 63 00 a8 de 7b 07 e3 d7 79 bc c2 99 e5 2b +6c b0 30 88 01 6d ae b8 41 38 2e b3 43 5f 2e 03 +eb f2 2d c0 86 fb 20 eb e5 3a c5 45 90 24 97 63 +a2 65 5a a7 eb 0e 7d 38 64 93 6b 34 00 6a 6c 4f +a0 2d 9c a1 04 ad ad a6 aa 01 b9 77 b6 de f2 75 +06 08 a7 8f 3e d8 3a d7 12 a7 a1 b0 fb de 7c 7c +8d + +# PKCS#1 v1.5 Signature Example 7.7 + +# ----------------- + +# Message to be signed: +83 a4 8b ff 88 6d 1d 68 f2 92 0a 0e cf f2 98 32 +1a 96 f5 ca dc df d8 be 16 b5 0d 34 d6 7d 94 cd +b1 a1 bf a0 ea e2 46 99 b6 63 c7 ba 3a 08 a3 90 +f7 22 58 84 85 67 94 d1 80 c5 46 ca c0 6e 41 18 + +# Signature: +01 2e 81 bd 38 63 50 65 bf 65 54 33 6b 00 d1 06 +18 33 05 53 e0 e8 08 78 aa d3 55 f0 0d 59 40 d8 +ba 45 01 c5 c4 9f 10 16 d5 f0 e6 a7 3a 4d 9f 87 +40 d2 cf c2 5e a2 48 df 3f 7b 1a e8 fc d2 6b d5 +62 e0 f6 eb 77 7f 46 d7 57 30 69 db 89 07 c0 21 +b6 45 d3 b2 40 58 47 51 99 a9 1b 55 72 d8 ac 87 +f8 3e e6 af 5c f9 e1 71 a8 58 f6 0d 2b 81 40 f5 +2d ae d6 84 42 22 8b 4f ff d8 de 40 07 8d 3d e8 +cb + +# PKCS#1 v1.5 Signature Example 7.8 + +# ----------------- + +# Message to be signed: +18 + +# Signature: +00 f2 c2 99 02 4a b7 bd 25 2c 69 46 be a1 0d c0 +53 97 38 98 bd 5f 0e 3c 94 60 e6 fe 09 d7 d1 91 +e7 1b f7 9d 43 6c aa 84 e9 86 be 3f c0 98 19 c0 +80 e5 6a 08 5c f4 24 41 4a f3 fc 70 07 cf 1a c3 +6f 1c f8 63 57 80 b5 56 8d 73 4a d6 d8 1a 2b a8 +eb 18 8b 29 46 69 d8 71 ca 40 e6 08 f0 ed 33 d5 +69 0c c6 15 70 c5 b8 47 eb db dc dc 4f a7 8f 42 +9e fc e1 3c 67 47 e5 4d 6f 26 1b 04 55 d6 dd 65 +c2 + +# PKCS#1 v1.5 Signature Example 7.9 + +# ----------------- + +# Message to be signed: +04 a6 e2 4b 93 c2 e5 f6 b4 bb e0 5f 5f b0 af a0 +42 d2 04 fe 33 78 d3 65 c2 f2 88 b6 a8 da d7 ef +e4 5d 15 3e ef 40 ca cc + +# Signature: +00 ec c8 95 fb d9 47 e2 df c4 7c 03 ba 2e 99 3d +1a 14 3a 7a 6a d6 3a 91 6e d5 44 83 ce 26 38 9f +89 d5 80 f4 ed bd d0 b3 7e 08 ca aa 5a 0c 1e 52 +6e 1e 9a 1a 8c 0d c9 cf 50 ed 77 de 26 76 46 0d +28 8d ce 56 5f 12 8a 26 6e a2 9b 4e cc 32 9a 94 +cc 25 23 96 dc 50 d5 c0 a1 3d 80 93 81 fa d8 8a +07 89 ad 4f 56 aa 77 e5 44 ec 25 70 af 99 18 b7 +f7 41 b4 86 ca 50 b3 38 4a d1 12 40 60 59 16 85 +a1 + +# PKCS#1 v1.5 Signature Example 7.10 + +# ----------------- + +# Message to be signed: +99 65 bd a5 5c bf 0e fe d8 d6 55 3b 40 27 f2 d8 +62 08 a6 e6 b4 89 c1 76 12 80 92 d6 29 e4 9d 16 +9f 16 fe 51 c4 c0 8a 64 94 b5 00 73 62 20 91 a3 +82 2e a5 7c 32 8b d9 b6 9d 24 65 a2 12 2a f1 78 +bf 6b 1b e3 07 ee 4c 31 47 9f fd 9f 4d 11 f3 3e +a2 0b 7a ec e8 12 ca b4 ee dd 46 99 31 51 d5 68 +ff 64 a1 67 04 a5 5d 95 0a b7 79 1a a2 3b 26 a0 +a8 af 88 0f 6f 80 56 bd d2 06 83 8b 44 c6 07 b6 +61 b4 f1 dc 36 21 06 5f de d3 db 6f 9e 3f 2d c8 +f4 00 ef e3 c2 af a6 c0 27 99 40 57 6b b0 5e 39 +80 4b d3 50 5f 4b d2 82 52 91 8b 28 e7 4e 05 8f +24 f2 7e f0 db 3d 0d cf 9e b2 9d 41 ff c1 10 07 +ce 86 b9 82 e8 9c 03 75 bd 99 76 a5 af 13 1a 61 +4d 28 08 ba 25 07 9d 97 7f 0b 23 97 96 ba 6b 1b +cd 5e 85 5d 96 + +# Signature: +01 56 62 e3 0e 79 0e 37 86 83 81 b4 f6 77 a2 ae +d6 b2 ac c5 64 49 17 31 82 49 10 ed 80 ad c4 77 +15 9c 88 61 8c c7 d0 be b0 49 b1 aa e7 4b 17 21 +e9 0b a7 f7 b0 ea 26 bf 33 ad 04 f8 6f f3 14 38 +97 bf 0d 4e b4 5e b7 de b5 44 11 ba 96 80 aa b1 +3a db fc f1 8a f4 6b 87 fc b1 46 1c 26 20 6a 95 +3b c3 cd bb 31 e2 96 ea 09 02 4b c5 c7 b6 2d e6 +c6 9c 14 bf cf eb 56 39 1a 9e f5 8c d8 05 eb 63 +1f + +# PKCS#1 v1.5 Signature Example 7.11 + +# ----------------- + +# Message to be signed: +71 c7 b1 8b 4a a8 ea 53 89 ad 78 49 23 28 65 be +2a 93 e3 47 a1 68 d2 5c 6c 6e a2 43 9c 1c c8 0b +b0 b7 22 3b e9 c8 93 71 22 84 5b b0 a3 9c 02 5c +43 75 9d ef e6 e4 e8 eb 3b aa b4 f1 eb dc a2 c8 +ad 12 a4 65 a3 0f 8a 65 25 b1 20 ef 6a ae c9 bd +db 45 cd 42 c0 15 0c 40 7b 04 8e df 65 19 94 92 +f2 07 ca 01 aa a5 54 3a f3 8e e9 8d 53 bd 10 d8 +ee bc 3b 64 97 7e 75 75 1d 74 50 dd b1 c0 e1 fc +24 da 17 18 81 1f be 9b 0a bf c3 ca 31 e6 99 5f +c7 34 90 73 e2 17 b3 7e 23 c5 f1 7a 8b 7a 3f 00 +48 6a 37 02 b9 51 0d 6f 05 1b 27 61 71 6e 32 c6 +2b b5 93 9b 2f b1 1a cb 1c 83 + +# Signature: +01 3a b6 3a b1 83 35 3a 23 5f b8 93 ab 4c 35 d6 +40 9c 21 84 9d cf cd a3 bf da 14 29 fe e7 42 a7 +d8 16 0f d3 c8 3b 38 53 a3 33 f9 51 53 9b b5 77 +1f 4d 0f e1 3a de b6 4e 40 30 b9 2e 8b 08 13 eb +52 b1 aa 33 bd 94 c5 b8 bc 1b bc cd f6 c1 df 0b +a6 70 71 7c 0c f6 fd 48 5b e2 fe 9e 16 81 3b e8 +cd d5 80 e6 10 86 67 5e 31 83 1c 92 4a 41 d4 67 +1a 95 d8 35 e3 fc a4 95 e8 86 58 d1 e5 70 e6 28 +c7 + +# PKCS#1 v1.5 Signature Example 7.12 + +# ----------------- + +# Message to be signed: +0b eb 19 b5 62 92 8c 27 1b b7 06 18 9e 43 cf a5 +7b e7 6b 2f 7a 83 e0 2a a2 cc b0 37 c0 f4 f7 f7 +31 62 d6 c2 6f 70 de 97 18 21 e7 b9 66 5c b9 31 +bb 0e ac 82 0b f8 59 98 4d b4 be ef ef 4a b8 8e +91 63 1c 0c d3 1d b7 f9 35 8a 5a a1 df f2 40 6b +45 f9 bd cb ef 20 d5 5c 28 2b ae 5c fb 61 06 02 +3b 56 33 c0 51 af 17 e7 29 bb 07 c9 af 6d d2 + +# Signature: +00 d6 3d a4 d5 d3 e2 28 4a 19 2a 6a 9d a3 f1 a7 +d3 fc c1 64 b9 fc 3d fd 74 52 b0 2f ed 6e f1 be +5a d2 a7 69 ec 9c 36 05 9b 71 91 1c cf 7a b7 1c +e3 09 87 ec 47 bb f5 5e 6d 46 30 d6 23 42 b3 15 +50 48 ee 0b f4 3d 24 fe 69 ab da c1 2f 79 4b 67 +98 bd 1a 7c b4 89 a6 4c e0 82 25 4c 3d 92 f4 75 +56 6b 56 40 0d 96 20 cd fd 63 fc 17 c1 93 c4 25 +d7 ed e9 41 f7 6d a1 e3 45 af 0e 2a 8b 88 44 c7 +40 + +# PKCS#1 v1.5 Signature Example 7.13 + +# ----------------- + +# Message to be signed: +02 87 ab e2 67 0a 45 f8 77 90 48 f5 + +# Signature: +00 42 f4 14 78 2d f6 5d 93 47 bf 1c ad 53 48 53 +74 6c c0 b8 53 c1 c5 26 f9 17 14 45 fc fa a4 99 +1a 70 f5 a8 44 5b cf 41 14 f0 7f c8 35 4c 84 a9 +3b 94 37 33 d3 93 7a 59 88 3b 89 6c e6 5f db 16 +5b 1e 30 55 37 4c e2 42 e1 26 8c 16 41 cc 44 3b +b9 e7 da 7f 71 f3 e7 f6 31 3f 23 9e 62 00 e7 9a +1b e3 ea d6 c3 6e 94 1f 24 46 0b aa 57 df 63 9e +57 da b3 ef f9 e7 7b 87 af 35 5b 83 da e7 7c be +06 + +# PKCS#1 v1.5 Signature Example 7.14 + +# ----------------- + +# Message to be signed: +3f 49 54 2c 0e 9f 50 93 2c 0d 45 3d c9 53 20 af +21 dd 2b d1 72 9c 29 f4 f0 8c 70 94 4c 2c c7 5d +e9 16 6b 4f d2 30 aa 93 70 2c 5f 2c 3d 9c 29 9a +35 91 02 57 00 33 54 0e b8 28 ca d7 5a 57 76 d2 +e8 cb 45 61 41 a6 fa 97 bc 4e 6e 62 d3 df 08 29 +82 a4 d9 8c 2d e4 41 e5 9e 93 12 + +# Signature: +01 5c 39 93 ce eb d8 db a4 5a 36 8d d4 05 af 8a +53 b9 3e 82 70 19 f9 94 e4 ed 78 2c 39 11 b9 b5 +80 d5 42 24 26 9b 79 97 f1 74 96 30 e5 2f 22 1f +af ab 96 41 c7 81 e7 04 4d 32 56 e2 e4 4e 14 37 +91 72 32 69 45 18 ba 9e 71 38 da 47 fe 53 43 29 +b8 c9 68 9e 27 85 c0 2b 60 3d d1 60 d3 73 36 a2 +b0 5b e0 47 82 65 9a c0 e9 67 1f e9 32 ea 80 91 +d6 13 18 b2 b2 01 bd a7 9a f6 c0 c4 44 69 38 e3 +f6 + +# PKCS#1 v1.5 Signature Example 7.15 + +# ----------------- + +# Message to be signed: +d0 db c9 6c f9 bf b1 e3 cd 6d e2 ea a0 8d 6d 79 +5b ed 81 87 ce b0 85 65 80 e4 b1 42 b9 ae 60 a0 +98 cd 42 98 4e 8d bf 1d 05 a0 c0 ab 83 51 54 8f +0a 13 64 6f 33 39 0b 2b b0 c8 64 b3 97 cf 13 37 +1f 8b 2f 67 5a 82 e4 6b f1 6c 4a fc 60 5e e3 e5 +a1 46 9c ac 51 fa 73 4b 44 65 d4 c1 3d 5b 2d d1 +2e ed a5 4e 7d 08 1c d9 e3 ea af 9e 57 db 42 20 +20 a0 b5 a5 ec 28 ca 43 97 7a 5d 67 6f fa b6 2f +78 10 71 93 59 41 59 ce bf bd 86 26 98 19 a0 f3 +41 a0 f4 12 84 dd 0a 73 ca 80 14 d2 e0 b8 01 79 +c6 38 0b 40 3a fb b1 1b 42 db 34 9b af d7 57 0f +be cb d1 4b d0 c2 1a d6 41 68 7a 6a c3 29 25 f7 +03 1a 24 a6 56 8a b9 e2 87 eb 80 75 41 10 df ba +68 8a 59 63 25 bc ac 4a 39 ce 8b 84 a4 + +# Signature: +00 8c c8 2d 64 55 9d e0 04 0f 55 41 19 9a ef f3 +99 9f e2 f0 86 f1 57 ff 51 f2 22 0d b3 45 51 9a +a1 14 b0 17 62 e7 0b c9 65 83 bb 38 b2 2b 3f 87 +be ab 32 e2 3a 3d eb db 8a 59 54 29 ff 12 fa d4 +95 d7 4e 22 0e 4f 7d ca 22 27 28 43 89 9e 81 04 +c6 9a 59 64 2f 6f a8 25 89 0f e8 13 2a 0f 79 94 +02 53 e5 00 7f b1 17 7a 5b f4 18 06 7e dd c8 d3 +2c 5e 59 35 bf 33 8f 1c 69 0e fc 80 11 dc 8c 84 +2e + +# PKCS#1 v1.5 Signature Example 7.16 + +# ----------------- + +# Message to be signed: +7d f0 23 6e 87 1a 71 c3 17 90 eb 5f 01 1c 91 1c +27 c6 03 73 b8 dc 9e bb 13 ac 85 ac cb 3b cb d3 +b4 74 f9 78 86 2d d8 42 02 ab 20 b3 34 73 94 25 +e1 b7 9e 0b b8 b4 bc 47 dc 71 53 f5 7a da 04 12 +44 7b f5 a5 e6 67 34 19 ba ad 65 3e 5f 5c 39 e2 +ef 7c fe 7e f4 77 8a b9 98 ca f9 7c e1 6c 58 33 +27 72 dd df 82 6f 1e ec 1a f3 db 80 e3 13 75 d6 +68 0a a2 54 b4 ab 6e f9 a3 ec 0e 04 03 e4 b5 83 +d3 71 dd d9 6d d5 7b 2c 61 a6 e4 01 25 1a 1a 63 +0d 1d dc dd 84 d9 0d 82 fa f5 a0 18 d2 a8 8e 26 +58 55 e9 d7 ca 36 c6 87 95 f0 b3 1b 59 1c d6 58 +7c 71 d0 60 a0 b3 f7 f3 ea ef 43 79 59 22 02 8b +c2 b6 ad 46 7c fc 2d 7f 65 9c 53 85 aa 70 ba 36 +72 cd de 4c fe 49 70 cc 79 04 60 1b 27 88 72 bf +51 32 1c 4a 97 2f + +# Signature: +01 45 5e 3b b2 9c bc a8 83 9b 9f 54 4d 51 47 2e +bc fd 25 c2 92 27 c4 65 5d 5f 7e bb d8 3c 48 e7 +64 3e 7b 59 4d 6f 7c d5 f6 bf 9a 40 b0 5c 4a 05 +cb ee 1f d6 59 d3 ce de 3e 7c ad 61 e6 fd f8 f0 +e4 fd ef 08 12 a8 53 90 8f 0f 99 ca 7e 38 8e bc +19 e8 74 76 5b 11 64 0f 1e e1 e9 8f 54 95 3d e6 +17 6f 15 82 03 70 17 c8 38 60 9a 57 a1 2a cb af +a6 a5 65 47 f5 7d 62 db e8 76 69 ed c0 fe 3b aa +da + +# PKCS#1 v1.5 Signature Example 7.17 + +# ----------------- + +# Message to be signed: +12 88 c0 3f 95 00 6e a3 2f 56 2d 40 d5 2a f9 fe +b3 2f 0f a0 6d b6 5b 58 8a 23 7b 34 e5 92 d5 5c +f9 79 f9 03 a6 42 ef 64 d2 ed 54 2a a8 c7 7d c1 +dd 76 2f 45 a5 93 03 ed 75 e5 41 ca 27 1e 2b 60 +ca 70 9e 44 fa 06 61 13 1e 8d 5d 41 63 fd 8d 39 +85 66 ce 26 de 87 30 e7 2f 9c ca 73 76 41 c2 44 +15 94 20 63 70 28 df 0a 18 07 9d 62 08 ea 8b 47 +11 a2 c7 50 f5 c0 a4 25 31 3d f8 d7 56 4b d2 43 +4d 31 15 23 d5 25 7e ed 80 6a c8 c9 c6 af 04 ac + +# Signature: +00 6b eb b9 6f 0e 28 2f 1b 4d 03 e6 c5 65 05 b9 +37 78 da 9f 49 36 50 e8 aa eb 65 cf e6 28 50 04 +2f 75 ab e6 e6 ea fe b9 a7 0a bd 21 eb 5d ba 73 +cb b8 7c 12 98 0a ac df 16 71 6b 19 98 c9 49 9c +e4 39 c5 4a ab 4d 19 ce 72 7b 78 75 a4 1a 3d 30 +81 4e 50 8d aa 26 eb 70 aa bb d0 dc ae cc 4d 4b +51 69 80 71 51 1e b3 1b 21 0e 66 dc bc 7f c0 b8 +c6 23 14 da ea 69 d4 7a e2 78 10 0d eb 51 40 92 +00 + +# PKCS#1 v1.5 Signature Example 7.18 + +# ----------------- + +# Message to be signed: +54 13 99 3c 26 58 bc 1d 98 85 + +# Signature: +00 bb eb 2c a0 bd 64 cb 89 60 37 5b 08 a9 48 0e +69 c0 9f d3 82 de a2 f9 40 89 b1 53 3a 08 51 fa +0c bd 0e ad ef ca 8c 70 b7 70 79 7a d0 89 e8 40 +d2 fe 1a 8f b8 54 9f 32 90 58 3b bb 81 d3 ee 2b +1c 48 f1 ea 75 1b f3 2f 95 90 be 3a fd b7 74 5e +16 6e 0b 32 2c 08 31 24 e6 45 83 94 82 d0 81 26 +22 d3 1a b1 87 7a 9b b4 1b 8d aa d8 68 f3 0e 75 +07 83 2a c3 41 01 12 13 3a a1 7b 2d 47 6d 47 6d +89 + +# PKCS#1 v1.5 Signature Example 7.19 + +# ----------------- + +# Message to be signed: +9c 84 c1 48 6b c1 2b 3f a6 c5 98 71 b6 82 7c 8c +e2 53 ca 5f ef a8 a8 c6 90 bf 32 6e 8e 37 cd b9 +6d 90 a8 2e ba b6 9f 86 35 0e 18 22 e8 bd 53 6a +2e b3 07 c4 3b 48 50 a8 da c2 f1 5f 32 e3 78 39 +ef 8c 5c 0e 91 dd 0a fa d4 2c cd 4f c6 06 54 a5 +50 02 d2 28 f5 2a 4a 5f e0 3b 8b bb 08 ca 82 da +ca 55 8b 44 db e1 26 6e 50 c0 e7 45 a3 6d 9d 29 +04 e3 40 8a bc d1 fd 56 99 94 06 3f 4a 75 cc 72 +f2 fe e2 a0 cd 89 3a 43 af 1c 5b 8b 48 7d f0 a7 +16 10 02 4e 4f 6d df 9f 28 ad 08 13 c1 aa b9 1b +cb 3c 90 64 d5 ff 74 2d ef fe a6 57 09 41 39 36 +9e 5e a6 f4 a9 63 19 a5 cc 82 24 14 5b 54 50 62 +75 8f ef d1 fe 34 09 ae 16 92 59 c6 cd fd 6b 5f +29 58 e3 14 fa ec be 69 d2 ca ce 58 ee 55 17 9a +b9 b3 e6 d1 ec c1 4a 55 + +# Signature: +00 e6 be 96 e1 8d ce bf 83 88 ba 82 ec 6f 27 10 +5b c2 78 71 59 5e 01 70 5a 2b 97 a1 f4 d7 88 38 +35 2b 0e 7c 0a 2c 62 7a 6f f3 7d b1 69 a9 a4 64 +8a d2 7a f0 65 33 a4 f0 41 d4 c8 20 ab f4 fb 52 +64 64 08 14 34 df 36 78 85 03 c6 5a f7 62 aa 21 +9f b7 6a 91 cb b4 0e 14 92 a9 cb 77 36 9b b4 cc +a1 93 4e 38 53 de 6c 86 a5 dc 11 48 ed ee b3 b0 +03 04 14 fe 30 83 ad 72 fe 29 5c 29 b5 ea 9b 66 +60 + +# PKCS#1 v1.5 Signature Example 7.20 + +# ----------------- + +# Message to be signed: +94 0c da b4 a3 e9 20 09 cc d4 2e 1e 94 7b 13 14 +e3 22 38 a2 de ce 7d 23 a8 9b 5b 30 c7 51 fd 0a +4a 43 0d 2c 54 85 94 9a 2b 00 7e 80 97 8b bb 19 +2c 35 4e b7 da 9a ed fc 74 db f5 f7 1d fd 43 b4 +6c 93 db 82 62 9b da e2 bd 0a 12 b8 82 ea 04 c3 +b4 65 f5 cf 93 02 3f 01 05 96 26 db be 99 f2 6b +b1 be 94 9d dd d1 6d c7 f3 de bb 19 a1 94 62 7f +0b 22 44 34 df 7d 87 00 e9 e9 8b 06 e3 60 c1 2f +db e3 d1 9f 51 c9 68 4e b9 08 9e cb b0 a2 f0 45 +03 99 d3 f5 9e ac 72 94 08 5d 04 4f 53 93 c6 ce +73 74 23 d8 b8 + +# Signature: +00 80 e2 c3 4f d4 ab 4d 1d 70 1e a3 f0 85 76 3a +ca ff c9 fd 3e d9 18 d0 4b ff ee 19 31 62 48 98 +c7 8f 89 41 bd 2a 59 ce b5 b8 40 f0 11 45 16 ce +41 1f ae 75 2b 1b 8a 22 1f fc a7 a6 87 66 c6 97 +c5 0a 3d 88 d8 d0 2f fc 12 41 d8 4b b7 a7 22 7f +3d 05 14 9e 15 11 12 77 a1 36 a5 b8 dd 96 dd 4b +22 5c 5f 49 cd f6 07 1d bf 71 93 5c 7a 6f 1e 2e +9a f3 02 1c 0d 58 a9 b8 1c 9b de 61 fa 47 2c 07 +a6 + +# ============================================= + +# Example 8: A 1026-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +03 33 12 64 88 f7 a2 91 51 32 e3 0d 5e 97 f6 ed +7b bb 67 b6 19 85 00 8e ae a2 a5 da fb 96 a4 48 +ab 75 ce 3d 6e 68 a6 26 5e 7c 24 56 84 99 93 24 +c8 1e 0b a6 38 98 63 fe b4 88 b3 f2 55 d0 d6 19 +c1 90 40 b7 4c 18 9f 0c 9a f4 b0 d5 a5 5a 54 4c +09 0c d6 15 2c 90 a6 f2 55 0d 7d 2a 6b 6d 34 7d +5b 1b 9d fb 1d e4 40 3c 79 66 23 d7 03 bf 9d b4 +43 bf 67 02 68 3b 8d 2a 9c 61 e9 36 8a c4 25 a5 +81 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +03 33 12 64 88 f7 a2 91 51 32 e3 0d 5e 97 f6 ed +7b bb 67 b6 19 85 00 8e ae a2 a5 da fb 96 a4 48 +ab 75 ce 3d 6e 68 a6 26 5e 7c 24 56 84 99 93 24 +c8 1e 0b a6 38 98 63 fe b4 88 b3 f2 55 d0 d6 19 +c1 90 40 b7 4c 18 9f 0c 9a f4 b0 d5 a5 5a 54 4c +09 0c d6 15 2c 90 a6 f2 55 0d 7d 2a 6b 6d 34 7d +5b 1b 9d fb 1d e4 40 3c 79 66 23 d7 03 bf 9d b4 +43 bf 67 02 68 3b 8d 2a 9c 61 e9 36 8a c4 25 a5 +81 + +# Public exponent: +01 00 01 + +# Exponent: +01 4a 2b 15 df a8 83 1d b4 ef a0 5b 19 50 84 b7 +42 73 4e e1 36 f4 48 3f 3b e2 50 9d 2f 61 90 23 +c3 0a 1f f2 df 78 cb d1 17 b1 4f 2c 99 13 17 1f +72 93 b9 fa 6d 41 f0 bd 11 a5 31 74 74 67 54 86 +d7 f0 ae c0 a7 78 ba 92 0e 81 f5 64 d1 59 30 cd +de e7 e2 b0 6a d8 ad b6 12 75 1f 4e 38 4d 6f 3f +a0 a6 63 9f d6 2e df 86 f5 2c 9f e0 77 62 91 83 +21 83 d3 59 b7 34 32 60 c9 4e 12 5f 4a b8 bf 43 +69 + +# Prime 1: +01 d6 e7 bd 8e 39 5b be f2 10 46 49 c0 12 78 cc +1c 51 c9 68 7d ef b4 59 1f 03 b6 78 52 a4 bc b5 +30 75 0c f9 bf ca d0 72 8c 53 99 d8 70 35 01 06 +cb a3 ec 41 6a 31 e4 2d 0b 59 75 10 ff 1c 9d 53 +bb + +# Prime 2: +01 bd 46 6f 43 a4 d4 61 3e 42 64 f0 1b 2d ac 2e +5a a4 20 43 f8 fb 5f 69 fa 87 1d 14 fb 27 3e 76 +7a 53 1c 40 f0 2f 34 3b c2 fb 45 a0 c7 e0 f6 be +25 61 92 3a 77 21 1d 66 a6 e2 db b4 3c 36 63 51 +f3 + +# Prime exponent 1: +fb 66 85 00 65 06 e2 0e 01 3a 45 2d 51 af 43 e8 +ea 91 08 44 13 b0 c8 d3 91 fb dc 88 e2 82 0c 89 +6e 34 1b 31 95 69 6b 7e 17 33 cf 25 38 66 ef e5 +d0 01 d5 7a 88 60 34 dc 16 4a 35 64 bd 36 10 f9 + +# Prime exponent 2: +be 4e 9e 3b 40 f5 6c 62 59 aa 1e 5c df 56 59 b1 +6f b8 42 94 e5 8a d0 16 bd 2c 96 cd 08 e6 cf 68 +54 a1 1c b8 0a d4 be 3e 05 7a aa cf 02 bd 32 63 +73 a2 35 ce b8 9e 82 43 0d 6e 6d 47 d6 ce f8 35 + +# Coefficient: +c0 23 5c 89 73 cf bf 30 bf 1d d3 c8 39 f0 2c 94 +c6 9d c5 34 cb fc 98 88 05 d6 fc 46 2a db d3 77 +d1 75 b9 a9 64 60 18 d7 fa b7 5c 1d 1f 7d 61 b7 +7f a7 95 59 b8 6f fa 9e c6 e2 11 33 fa 7f 1a 45 + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 8.1 + +# ----------------- + +# Message to be signed: +9a 28 20 f3 b9 02 9a bc 18 65 eb 06 fe 61 b8 d3 +97 b6 55 72 d6 00 61 ca a7 4e 63 56 93 1e 25 6b +89 71 2d 18 66 84 b4 de 1e 14 c9 eb fe f1 6e 40 +d9 9d 10 94 39 6c 56 1c 88 31 77 e5 12 6b 9b e2 +d9 a9 68 03 27 d5 37 0c 6f 26 86 1f 58 20 c4 3d +a6 7a 3a d6 09 04 e2 15 ee 6f f9 34 b9 da 70 d7 +73 0c 87 34 ab fc ec de 89 7f dd 67 0a 01 46 58 +68 ad c9 3f 26 13 19 57 a5 0c 52 fb 77 7c db aa +30 89 2c 9e 12 36 11 64 ec 13 97 9d 43 04 81 18 +e4 44 5d b8 7b ee 58 dd 98 7b 34 25 d0 20 71 d8 +db ae 80 70 8b 03 9d bb 64 db d1 de 56 57 d9 fe +d0 c1 18 a5 41 + +# Signature: +03 22 d0 0f c1 d9 66 94 f3 6e ae d2 30 90 56 f3 +ea 1c 1c c2 2b 13 b6 5e 79 11 8d 20 2c 42 d1 61 +30 99 38 05 09 da 74 35 bb 57 92 16 fd 57 65 06 +68 42 e3 56 a6 41 6f c8 42 a2 4a 9e a1 bc 6a 90 +98 05 23 b4 28 e3 99 bb d6 fc dc 2c b7 71 da f0 +03 7a 2d e8 c7 64 9b d5 33 17 de 0e 37 c3 14 ba +b0 c4 37 bb d7 98 df b9 65 50 6c 34 8b 74 2f 13 +8e f1 d1 a2 03 e0 51 e3 4b dd 3a 30 e0 fc e1 ac +43 + +# PKCS#1 v1.5 Signature Example 8.2 + +# ----------------- + +# Message to be signed: +ea 9a 1a 04 b7 cf 47 8a 89 7a 70 8f d9 88 f4 8e +80 1e db 0b 70 39 df 8c 23 bb 3c 56 f4 e8 21 ac +8b 2b dd 4b 40 fa f5 45 c7 78 dd f9 bc 1a 49 cb +57 f9 b7 1b 6d 48 b2 b6 a5 7a 63 c8 4c ea 85 9d +65 c6 68 28 4b 08 d9 6b dc aa be 25 2d b0 e4 a9 +6c b1 ba c6 01 93 41 db 6f be fb 8d 10 6b 0e 90 +ed a6 bc c6 c6 26 2f 37 e7 ea 9c 7e 5d 22 6b d7 +df 85 ec 5e 71 ef + +# Signature: +02 68 44 09 39 99 6a e5 cb da fd bc a8 6a 7c 42 +8a 04 b5 78 fe 2d be 51 26 a8 2f af 2b ec ff 09 +9a c6 0c b8 1b 11 7f 1e bf 42 04 fe 43 70 54 8d +5d 2c 46 80 63 68 2d a8 7d c8 01 79 bb 3b ba 85 +a1 48 ae 2d e7 dc b4 94 f4 76 22 1d f8 21 9d 4a +ae 1e 45 af 65 de 33 4a 1a 6d c1 45 52 86 ae 09 +cf 26 72 58 85 e7 74 80 99 72 d7 81 98 05 ff f5 +a8 c8 9d 37 37 64 50 73 92 49 f5 7e b1 51 b7 1d +c0 + +# PKCS#1 v1.5 Signature Example 8.3 + +# ----------------- + +# Message to be signed: +07 df 58 6b 90 5b 23 b9 1a f1 3d a1 23 04 bf 83 +ec a8 a7 3e 87 1f f9 + +# Signature: +01 bf d9 15 ff 77 80 f1 4c cc 55 bd 03 06 b3 ae +da 5b 5b 59 55 a8 26 d4 52 6b 0b c7 66 15 4f a8 +da 59 56 05 78 cc d4 88 2f e9 70 92 fb c7 36 fd +a7 3c ee fd 10 38 94 06 3e 93 e2 2a 7b 5c 44 f7 +a8 5e 3b db 96 71 9a 09 37 43 03 c9 1e d7 e2 27 +49 fe 3c 4d 6b 96 69 9d 50 7c 50 ad cf bd fc 13 +1d 6b 5f 2c f1 83 0e 31 ea be 39 ae b5 17 96 9c +94 a8 1c fe fe 67 31 aa 2c df fe 28 c8 af 71 40 +f4 + +# PKCS#1 v1.5 Signature Example 8.4 + +# ----------------- + +# Message to be signed: +50 0b 87 77 c7 f8 39 ba f0 a6 4b bb db c5 ce 79 +75 5c 57 a2 05 b8 45 c1 74 e2 d2 e9 05 46 a0 89 +c4 e6 ec 8a df fa 23 a7 ea 97 ba e6 b6 5d 78 2b +82 db 5d 2b 5a 56 d2 2a 29 a0 5e 7c 44 33 e2 b8 +2a 62 1a bb a9 0a dd 05 ce 39 3f c4 8a 84 05 42 +45 1a c7 cd 69 8d 84 b6 51 28 d8 83 5e 3a 8b 1e +b0 e0 1c b5 41 ec 50 f1 03 6e 00 8e 71 e9 64 da +dc 92 19 ed + +# Signature: +00 7a e0 cf d7 f4 c6 ad 1f f8 4b 4a 60 6b a1 c4 +79 8c 2e 49 9b 04 5b 56 7d 32 63 4f d9 55 f2 68 +26 0a b6 59 bf 5b e9 9e 08 26 eb 38 70 e8 f6 2f +5a 3c e7 58 e6 d1 56 c3 29 9b 43 1c d9 df c6 58 +37 ee 94 22 0d 95 23 51 14 87 99 be 9f ca f9 be +26 4d ae be ba 2b e8 66 05 20 1e f9 a0 d9 8f 58 +ec 63 8a bf c4 f2 78 48 f5 d4 79 d3 34 ac c2 a9 +7f dd 2d 32 7e c4 c7 dd c5 a8 ab d5 66 de 35 d1 +4f + +# PKCS#1 v1.5 Signature Example 8.5 + +# ----------------- + +# Message to be signed: +6b 3f 6a 63 d4 e7 78 59 24 3c 9c cc dc 98 01 65 +23 ab b0 24 83 b3 55 91 c3 3a ad 81 21 3b b7 c7 +bb 1a 47 0a ab c1 0d 44 25 6c 4d 45 59 d9 16 ef +a8 bf f9 62 12 b2 f4 a3 f3 71 a1 0d 57 41 52 65 +5f 5d fb a2 25 f1 08 95 a8 77 16 c1 37 45 0b b9 +51 9d fa a1 f2 07 fa a9 42 ea 88 ab f7 1e 9c 17 +98 00 85 b5 55 ae ba b7 62 64 ae 2a 3a b9 3c 2d +12 98 11 91 dd ac 6f b5 94 9e b3 6a ee 3c 5d a9 +40 f0 07 52 c9 16 d9 46 08 fa 7d 97 ba 6a 29 15 +b6 88 f2 03 23 d4 e9 d9 68 01 d8 9a 72 ab 58 92 +dc 21 17 c0 74 34 fc f9 72 e0 58 cf 8c 41 ca 4b +4f f5 54 f7 d5 06 8a d3 15 5f ce d0 f3 12 5b c0 +4f 91 93 37 8a 8f 5c 4c 3b 8c b4 dd 6d 1c c6 9d +30 ec ca 6e aa 51 e3 6a 05 73 0e 9e 34 2e 85 5b +af 09 9d ef b8 af d7 ad 8b 15 23 70 36 46 + +# Signature: +01 92 1f 22 f4 71 a0 8a f8 19 a9 52 e1 83 68 ce +15 f9 b0 64 eb 1d 00 b1 28 99 78 02 44 fe 8c 44 +24 b2 1f 64 35 0b 92 26 fe 95 ff 54 f1 14 39 83 +9b fb 54 f9 39 c9 14 95 e4 f0 27 90 18 97 27 3c +fa 29 5a 57 15 1f 4e 91 1d c1 02 a7 7d 95 8b 62 +27 24 c0 fd 3a 34 b3 b7 be fb 8b 8c d0 66 6e 81 +5d 0c 07 f2 ec b7 c4 dd 2f 42 b7 f4 09 13 12 e3 +d7 b2 df 26 78 87 e0 ac a7 0b 54 1c 4c 1e ea 16 +b5 + +# PKCS#1 v1.5 Signature Example 8.6 + +# ----------------- + +# Message to be signed: +93 29 a5 80 90 de 8b e5 7c 42 + +# Signature: +01 5c e2 4a 6f 2b 37 3a 19 99 7b b2 0c 18 ac 65 +9f 1e dc 0f 25 c9 e5 bf 76 d5 69 99 65 20 c2 80 +ef dc f1 5e 2d 63 ca af f6 c7 7a e0 38 97 03 7a +06 15 f9 83 8c 52 10 4e 97 25 18 e2 90 fa c3 8f +63 24 75 30 b4 cf 61 c6 ec e3 42 9b 53 07 81 cf +34 96 4f 32 ae 50 f1 09 34 63 83 86 d3 b4 df 76 +1c 59 7d 4a a7 fe ca 26 6c 27 f8 ce 66 ad e1 be +26 59 ce 14 2b a5 f9 35 88 3c 7e 8c 9b 89 57 ab +f2 + +# PKCS#1 v1.5 Signature Example 8.7 + +# ----------------- + +# Message to be signed: +6a ce 0f 1e 1d c6 3e 39 4a 06 1f 52 2a 54 2f be +71 20 25 4e 36 e9 f6 5d 19 57 c9 56 28 78 2c b0 +36 8f 3c 13 da d6 56 71 79 c1 ea 24 fe 83 5a 26 +63 85 e4 68 83 17 b8 2b 0c 3f e6 3c f2 d5 2f 04 +ae 8a 38 a5 75 59 bb 95 d9 eb d5 fe 8a 9a fe 14 +79 90 9e b9 9e 0d 3e f3 f3 12 e0 a4 ab b7 66 c7 +e2 13 1a 5f fb 48 31 83 fb b4 22 34 d3 2e 58 1f +59 50 65 c4 89 82 61 ec d0 ae 57 2c 22 1c 25 8d +e9 50 a4 08 01 ef 79 6d 4d d0 04 06 45 fc 53 4d +8e 78 58 23 48 38 ed 12 c6 87 40 c1 4e 37 16 13 +f0 04 61 76 bb b0 f4 3d 99 75 19 c4 0c 67 14 96 +ff 35 0a 3f df 42 9c c2 2f 46 4f 43 5f 6b 29 e7 +e1 c3 0e bd 50 59 27 d4 a0 96 58 7f c3 8d 3d 64 +94 39 1e + +# Signature: +02 73 ba 2c 50 2b 3f 29 84 c5 48 d9 f7 d6 c9 b3 +d7 fd 46 08 78 c8 4d 6b e3 3b 28 10 6e 15 fc 22 +17 ef f7 41 cd c2 66 83 4b ea a8 6d a4 05 f3 ca +e6 06 cc 61 f2 54 7b b9 22 92 03 45 fe 8f bb 5e +7b 6a bf 91 ea e8 c4 26 60 64 50 25 cc 7f c0 7a +53 4b 76 d3 78 75 e3 f4 0d 52 70 c1 0e f4 6c 7f +e4 5a fa bc ff ae 2a 9c 94 11 bd 04 d6 1d 4c 0e +5f fc 02 2c b3 6a 64 b7 c3 a8 c8 9b fd e4 36 ba +fd + +# PKCS#1 v1.5 Signature Example 8.8 + +# ----------------- + +# Message to be signed: +fd cc 0f 1e 5d cb e5 01 6a 6b 0f 8c 28 f5 b3 31 +ff 58 28 37 13 8d bf 62 ef 7f f6 1b c1 a3 53 96 +c9 2e 3d 54 8d 39 9e 35 0a 3c 6b c2 fd b5 da 94 +b9 86 a4 ce 6d ee 10 4e 9f 27 4b 15 25 58 bf a7 +22 cc fd da 3b 26 b9 f8 e5 15 25 f3 81 03 4c 51 +fd c9 f7 91 2a c9 27 d1 a7 08 cc 2d bb cd 7b a6 +c0 31 b0 11 cb a8 e2 df 8f c9 b8 83 64 ee 96 5f +24 27 0e 43 48 62 32 53 cb 9e 59 d6 f7 94 09 09 +94 a7 a4 c9 30 02 70 b5 7f 24 39 eb bb a4 65 84 +67 af db 7f e8 6b 4f 1a ad 1d 3d 3b 2f + +# Signature: +00 a7 c4 50 b3 0b 2e cb 19 bb 70 9a 92 31 cb fa +9f 0d 61 69 7a 26 b9 0a 96 d9 1c 24 c4 da 70 d7 +b0 0b 59 23 c8 e1 2d 41 09 4b 70 5d 50 c7 78 bb +da ce c6 60 d5 c1 5d ff d3 a2 47 8f d9 33 70 80 +dc a1 6b 9c 13 e6 23 3b 82 92 b2 fd cc 29 e9 bf +3b 21 a7 18 78 f3 4e f5 eb 7c d5 0a d4 12 03 72 +5a 0f 1c 66 3f 73 42 ec 7c 3d f3 d5 aa 51 d0 58 +df cc ce 5f e6 9d 36 3b 42 84 32 08 79 e8 6d 58 +b5 + +# PKCS#1 v1.5 Signature Example 8.9 + +# ----------------- + +# Message to be signed: +2d 1f cd 17 66 f7 d4 5f 29 59 4f 9d 4f 74 39 41 +ae 91 2a 97 91 1f fc 3d 65 dc d9 65 60 10 77 3b +b0 22 4b a6 df 11 1b 1c 13 68 38 4f 24 92 fc 4f +a7 28 0c 06 65 14 ae 84 f7 61 45 63 d9 05 2c a9 +4e f4 46 a3 1b 46 3b d6 c2 50 56 80 50 88 c1 d3 +1a ba ff 52 15 f7 a8 f8 9e 7b 64 f2 + +# Signature: +02 c0 e0 71 e8 36 90 dc 14 d9 a3 7d 61 e0 af c2 +7d f9 78 03 9d a6 01 ca 2c ec 1d ec 8f 0d 17 d2 +ff c4 50 e6 78 38 0a 02 5a 41 c7 46 11 8f 58 36 +42 52 a1 22 53 9e cc bb b4 ab 3d 8d 37 7b db b9 +11 c5 8a 4c b9 46 2f 36 dc 38 92 48 50 1b d0 8f +48 e3 53 3b 82 59 1a 2a 20 cf 62 df 5f 5a 1f 84 +ea 30 0c b3 94 57 13 71 41 ad 8c d1 d1 85 ab b1 +7b a5 d0 3b e3 48 c0 67 97 b0 95 58 f0 33 1c 24 +b9 + +# PKCS#1 v1.5 Signature Example 8.10 + +# ----------------- + +# Message to be signed: +4f 46 9a b7 9c b8 93 a5 3c 0e e3 81 5a 8b c0 87 +eb 74 ea 36 61 5b dd c3 33 de e0 5f c7 26 65 aa +6d 0b d5 9e 47 22 98 29 83 4b 1f 91 c9 cd 81 ce +28 d6 8f 14 82 5a 34 5f 3a 4f 38 a0 1b 2d ae 59 +10 07 64 aa b9 90 a8 50 b1 1c 13 d5 df e4 19 f1 +d9 20 d0 0c f1 3b f4 30 e4 ca 82 87 98 9b ee be +da 3e 5d 40 36 02 8c 8e f9 54 6e 35 01 50 d1 96 +f0 05 60 ba e1 47 22 99 e7 f4 29 1d 54 46 29 c4 +f6 52 e3 5c de 4f 80 3e 1b 3c a3 38 09 51 5e f2 +3d 25 4b 8e 65 20 2a 14 a4 11 b1 bc 31 5c 5f fa +ec b8 21 11 97 80 9d cb 5c ed 68 2c 09 f6 7e 41 +d1 60 2c + +# Signature: +01 71 29 64 ea 9a b9 70 29 5b 81 b0 fb d8 35 7e +54 b9 36 ee 87 72 d8 ae 9c 96 12 71 6f cc 2f cb +78 4c a9 ab ee eb b8 fc b6 89 82 16 1c c7 4e 40 +c7 c0 22 47 c0 d0 0e 03 bc 8e 1a 70 51 b8 7c 90 +dd 7d 3d fc 95 e0 b3 c8 8e 7a 0f 37 f3 0e 1b d5 +fe 8b 6e ee 46 5a 0b 34 cb 59 c6 4e bd b5 7d 6f +5f df f2 e7 0b b1 9c 60 d9 88 ea 95 6c dc dd 1b +e5 62 f2 6f b3 7c 34 da 52 a9 f9 11 b9 97 43 81 +2c + +# PKCS#1 v1.5 Signature Example 8.11 + +# ----------------- + +# Message to be signed: +52 bb 76 c9 ea 26 5d 6f ad 10 83 72 ff ab 25 03 +bb 20 d3 8d 37 df 19 92 54 a2 f6 de 0c 4f ca 7a +73 03 36 + +# Signature: +01 0c 55 34 23 60 22 60 15 8a 17 13 3b 5d 30 ef +e9 8e 9a eb 35 3b ab 33 71 e4 91 cd be bd 35 0a +0a 47 0b 9d bf d1 89 33 51 1f 0d 0e 36 94 a8 ac +4b f3 f5 b6 eb 9b f7 1c 23 d9 4c 2e 64 be b7 b7 +c7 22 52 ca 82 7b d0 c0 56 7b a8 a1 0a 6d 3b 7e +18 7b 0f d8 e9 e9 5d 4f e4 80 f2 50 dc 7f 03 42 +29 0e 9a 7d 32 70 3a 72 13 c6 52 13 ad ed 45 57 +54 78 1f 3d b7 3e 79 e3 d1 ba 6a f7 f6 90 fe 81 +73 + +# PKCS#1 v1.5 Signature Example 8.12 + +# ----------------- + +# Message to be signed: +5f 59 7a 19 cb f5 14 30 d3 c6 a2 47 a5 23 54 07 +38 6c ae d0 a2 94 f3 f4 1f 3f 37 82 50 d4 c5 a2 +c9 92 75 f9 55 44 cc c1 d7 7e 5c 15 1a f1 3e d6 +0b e5 22 eb 8c ab ed 89 a9 b4 5b 09 65 46 00 f9 +fc 75 1e 8b 12 e6 7e 52 + +# Signature: +00 3b d4 aa 90 81 fe 7e 9f 69 a2 69 fe c8 c8 a7 +36 70 c0 37 e8 5a 1f 36 fc ad 74 e5 b5 2d 71 0a +5a 18 ba 09 5b 98 10 cc 69 37 bc 76 34 09 51 e7 +fe d7 5b 32 6d 0a 3b 0f 26 c2 9c d5 eb 64 15 bb +f7 e2 dd 60 ad f6 a0 e6 13 02 dc c6 60 cc e9 10 +40 8b 4f 99 a4 40 ae 2a d6 c3 07 72 c2 9a 9e 7b +32 80 e2 e2 93 9a ba 0b 54 ab 02 2a a3 29 50 22 +71 8c d3 b7 87 b1 13 79 90 fb eb ef ac ec 8c b7 +49 + +# PKCS#1 v1.5 Signature Example 8.13 + +# ----------------- + +# Message to be signed: +84 0c c9 00 cb 4b 2c b6 7a 30 4a 9b 02 82 6d b0 +d6 67 36 92 2e 78 70 13 d6 bf 21 4d f5 79 ff 0c +f4 82 1f 9b + +# Signature: +01 3b 6c 08 0f 68 93 95 05 e1 87 a4 94 82 c7 91 +27 8d a3 ad 4a 74 7c 4f 01 79 1b 92 48 05 b6 82 +f6 49 bb d8 0d ba 12 fb be 59 40 f1 7f 27 e7 5d +42 67 7c 4c cc df fd 00 48 77 2e 36 93 4c 69 12 +12 8f f9 03 af ea 5e 1c a8 fe 94 24 fc 97 9b 21 +87 98 76 98 a5 c5 a7 5e 7d 70 70 a2 a6 74 85 2b +d8 05 bf 13 bb d1 29 6b ff 13 10 a6 d6 ed 45 fd +f8 67 2d 52 41 e7 4c d4 c4 19 86 e4 36 25 50 0c +23 + +# PKCS#1 v1.5 Signature Example 8.14 + +# ----------------- + +# Message to be signed: +c6 41 71 94 13 3b 5f 8e a6 3d 95 58 1c 89 6f 5b +9e f3 d8 7c f6 6c 02 91 64 0f 35 0a 32 5b 49 11 +52 e9 d1 43 0d 68 70 34 6e 46 8e 71 99 45 d4 e3 +65 d0 01 07 5f a9 70 f2 a9 87 0a 1c 65 43 4b a1 +70 02 41 2a cc 4c c7 4d 28 b2 de e2 9b 36 e3 97 +b6 8c 5d 59 cf 67 7c 29 ae e7 93 a9 30 0b 7b f4 +c6 73 b3 e0 b6 03 a3 61 1c a9 02 44 ff 08 78 75 +c5 16 88 57 cb 92 a9 5a aa 61 df f3 c2 12 dc 62 +06 f1 71 47 c4 4b 95 07 d5 c8 90 75 8b b3 5b b7 +2a 2a 5e 9d 4d b2 65 e5 37 3a 5b 34 02 90 4f 0f +1a 12 05 d5 bc c5 90 25 d3 22 0a 5d e1 b1 82 a8 +4d 30 41 2b 84 26 d4 69 32 32 1b 57 ef 72 64 0a +dd 2c ee bf 5b e9 68 43 6b cd 12 16 90 78 84 82 +32 93 b0 10 ec 28 f0 d9 + +# Signature: +01 60 47 ca ad 6c 47 bf 27 d0 cc fa 03 41 01 7e +56 5e 02 8c f2 6c 8e 66 0f 79 e0 91 f3 50 ce b2 +aa cf 92 f7 d0 1d 37 3f 71 55 11 9c 07 29 17 f2 +4f 01 bf 74 7b e2 dc dc 41 d1 be 58 85 35 c2 d6 +ac 17 04 c5 fb 16 f6 e5 dc 4b bc 84 53 f5 21 db +73 1e ba 78 98 e6 e5 21 2b 80 ce 9d a0 f1 56 28 +18 99 98 31 35 03 df d4 4e 3d 69 de 9b a9 cb 5e +b3 2a c4 1c b8 e3 62 1b a1 d2 91 d0 c5 da 24 9f +15 + +# PKCS#1 v1.5 Signature Example 8.15 + +# ----------------- + +# Message to be signed: +a6 42 f0 f7 0b 4b d3 b5 4b e2 20 11 9a 7f 79 + +# Signature: +00 a0 33 6e 63 67 52 7b bf 13 b0 a9 33 b6 31 c7 +2c b3 3e ab bc 29 2a 0f 8f 75 55 0c 22 30 fe 82 +57 f2 af 76 d5 43 cc d1 07 dd 2c 87 78 d3 ac 8a +7b 5b b4 ac fa 57 f2 af 6a 23 14 95 23 5a 51 da +dd b0 83 e3 73 b7 77 a9 5c f9 c4 a9 b6 be 77 51 +b6 5f eb 62 3a b3 34 43 36 54 b1 21 0f 7f 78 2b +17 25 c6 ba 4f fd 20 d1 7e d4 b6 ec 4a 3a f6 4b +d2 73 47 55 b7 73 9e eb f4 18 f0 9d 3a ff 28 9d +13 + +# PKCS#1 v1.5 Signature Example 8.16 + +# ----------------- + +# Message to be signed: +ca 16 e4 3d 9c 82 d9 d3 0c 8f cb 40 22 93 3c ff +c7 d7 4c aa 0d f4 86 35 09 31 8e da ba 4e 0d 51 +99 77 9c 03 50 4a ff a2 7d 87 19 1b 6b f6 86 a8 +4d 97 9a 2f dd 5b 8a 4c 49 32 14 45 c6 f7 5d 25 +23 59 17 ad be e2 a5 cf f8 a9 7a ef 78 c0 09 22 +10 11 d8 3c 0f 9d 37 16 08 75 af 73 67 71 8b 10 +ee c3 b4 29 90 e6 43 f6 37 07 cf bb 30 a7 fa 74 +ab 16 a7 eb f1 c8 38 c3 b2 26 37 b6 3c cd cb 6e +b3 4c 62 eb a9 e9 48 c7 ac 90 30 f0 63 77 29 d3 +e2 78 0a e6 be 4d 2f af 34 6c 11 63 d3 f9 82 48 +19 3a 76 39 9f b7 84 ca cf 68 fb 33 c7 4b ab c9 +dd b6 27 52 0c 0c 61 12 34 64 68 cf 20 a8 e0 2c +c9 a9 bd 27 91 0e 83 29 7b 85 e8 57 32 4a 01 00 +f5 cd d5 93 1b 6a 6d e0 5f 94 83 3a a8 61 0a 3a +4b 08 a5 a3 93 53 + +# Signature: +02 48 59 23 3f b9 db 7c d1 41 f4 b8 77 6a 1d 83 +e1 03 db 3a c9 42 89 d3 6e f4 0f 5e 6e 63 c3 12 +12 af dd dd 16 88 c2 c1 c8 d4 db 04 71 9e 1c 6e +8d bf 7d 60 be 25 f1 d6 88 87 fd ad da 3d 11 2e +3d 0d 24 c0 cd d7 98 8a 55 c7 10 29 40 08 2d 1a +c3 1f b3 ef ab e7 c2 88 cb 4e e7 2a 99 2a c9 6d +1e dd 78 ec 72 82 73 97 0a 79 69 95 c3 e2 a3 85 +81 e2 28 03 25 8e b4 cd 9d a2 04 0f af 74 1c 54 +2a + +# PKCS#1 v1.5 Signature Example 8.17 + +# ----------------- + +# Message to be signed: +3b aa 7e 9a da 21 43 f8 48 82 5d 22 93 67 04 d1 +c9 97 b2 da 76 76 9c 98 6f a1 52 b8 98 ae b1 1c +10 b9 45 79 76 4f 9d c9 33 65 2a 81 03 67 04 76 +95 8d 59 86 7a b2 4a 97 12 84 05 6e 99 c6 48 b7 +7e 7a 65 36 44 87 0f e4 c7 ce f3 7f 90 01 60 48 +72 ad ed e1 6a ac ed 8a a5 df 42 05 33 04 e4 d1 +71 12 0d 7a b3 ce 81 a4 d1 a2 74 98 d1 38 01 8f +66 21 bd fc 1d 53 e7 f3 c1 a5 aa 5d 62 b0 9a 55 +4a 56 f1 ed 4f 38 5a 07 68 ea a2 da 0c 9f 56 37 +03 4c 2e ef 58 cc 35 17 8b c2 a6 27 2c f5 29 b6 +5a df + +# Signature: +01 e6 3b 86 d0 c1 59 99 09 3d 44 28 af 7c 6d e6 +48 07 45 d8 19 e4 29 62 3f 47 2b 45 de 61 aa 56 +7b 60 d9 94 79 2a 0d 11 65 80 55 98 f4 e2 1f e6 +13 99 9a 96 22 5d 0b ba 98 f9 cf be e8 3a f5 85 +fa 07 84 39 a7 42 51 5a e2 18 ec 31 f8 d5 08 f2 +9b 0e 58 75 fc a8 f0 4f 11 a1 c8 2f 2b b0 ae 52 +8f da d3 ca 50 75 bb 3f 41 bb 57 83 34 81 33 fb +a8 a0 b3 ad 95 1a 1a 64 9c a0 f9 75 8b 20 c8 70 +fd + +# PKCS#1 v1.5 Signature Example 8.18 + +# ----------------- + +# Message to be signed: +7e b3 c9 8e 46 fd 1b 5c 9f f1 b1 1b e1 61 9b 56 +60 57 f2 6c 55 e2 88 f4 84 4c cd 50 ba a9 1b 03 +8d 60 95 83 6f 77 1f c1 c4 25 fb 53 3e f2 b1 dc +4a 3e 94 9b b9 95 25 c2 8f e8 a3 e9 31 78 f3 a0 +ac 97 fd 5d aa 81 b5 92 86 18 8e 17 b4 4b 37 71 +bc a8 55 d8 5f 3c 4d 28 6f 10 68 10 f4 e5 22 ea +05 83 4f 11 a3 1e 89 c3 59 90 c5 1b 08 0c 03 a6 +61 e3 d4 a1 b9 7a 2c 27 94 0f 5b 2e 41 2b 69 9e +a6 10 e8 99 6a e6 71 5a b6 e2 09 69 b6 aa 54 cc +72 31 9d fe e6 3b d2 ca cf d0 60 8d 40 e2 b4 03 +95 fe 55 dd a5 be a3 b0 f9 b9 4b 5a ad c0 98 dd +56 8d a3 95 db 2d 44 e4 + +# Signature: +01 5c fa d9 6e 4b 57 d9 cb b5 78 c7 90 74 a2 ba +86 9c 06 02 88 68 c5 a3 fc f4 a5 e3 61 83 1b d8 +c0 2c 25 b1 2b 90 23 4c 8e a4 82 2f b6 5e 82 d0 +91 a9 0f 89 b6 c1 15 6e 4b 44 d7 8d 32 a6 47 37 +d6 15 87 c0 ce 3f 4b 34 3e 71 f8 f7 a8 4c 6f 8f +c8 ae f8 f4 64 c8 b3 59 e4 fb 18 ad c6 99 c5 a0 +76 45 37 55 93 0c 5f 6f a7 07 1f 8f ec b8 63 1a +a4 14 f5 08 35 03 8b e7 ab 05 a4 b0 50 f3 f5 6e +86 + +# PKCS#1 v1.5 Signature Example 8.19 + +# ----------------- + +# Message to be signed: +6a 45 ee 0b 7e a8 03 68 b2 c4 29 af 28 81 53 f4 +56 cc 66 32 17 a8 ff cd 2a a0 5c 5d 32 2d b7 57 +56 cd bc 0f 68 41 41 fe 6b ca e1 89 bf 24 de 1c +8e dd 5b 11 36 44 a4 50 0d 0d 4f f5 80 08 36 40 +e1 2a 2c 95 de 69 e9 59 6b fb 1d 44 36 57 86 e1 +67 d0 25 d8 9e a2 f8 d1 3a 0e 64 77 f1 3b 85 bb +dc f1 60 77 4b 18 25 8c a0 be c0 bd 7b f1 39 11 +b3 89 6b 48 89 fa 3d e0 4a b2 6b d6 82 b4 ab 43 +7c 0c 17 f3 53 a2 3a 43 e9 2e 20 e7 f8 20 69 4e +40 3a ab dd 5d 19 6e 93 89 5b 47 92 55 df 40 30 +ad 8c e3 a5 3d 15 73 be 22 6d 81 aa 18 e4 85 89 +57 a2 d0 a3 35 9c 2e 7a + +# Signature: +01 64 f0 db cd d9 52 11 86 a2 80 84 a3 f3 ae 6a +ac b6 59 6b 85 6e 8a ab 2e 72 a7 f2 33 d6 2d 2d +3e f1 96 d3 78 7e 4b 04 57 31 da 9c 61 50 ad 9d +5f 91 8c 6b 06 c9 2a 11 a0 bf d5 ef cc b7 b0 3a +01 07 24 14 39 d3 4d 31 3d 35 b3 6a 0d 8c a0 81 +3c 36 23 b2 bd 78 f2 e3 a9 71 99 64 8d a3 58 06 +ff c5 8e ed 33 ac 9f cf 79 53 8f a8 89 15 b1 a5 +75 85 78 b9 a2 db 01 38 04 bf 32 e7 a5 6d c7 24 +37 + +# PKCS#1 v1.5 Signature Example 8.20 + +# ----------------- + +# Message to be signed: +92 a4 b4 bc e3 da a0 a7 a6 4b 72 ad 87 1f 3a a8 +ea b5 ac 40 11 aa ae a2 ce eb a8 92 77 c6 43 29 +57 26 26 c9 56 88 4f 48 54 f8 61 3d 22 51 8b 14 +f0 38 fc af 9e 68 e1 30 02 fb 0a 00 a7 8c c2 ea +51 44 fc 13 11 76 d5 e5 d6 7e 10 6a 99 87 9c + +# Signature: +01 24 fd 8b 2a cf 22 37 fc 71 a2 ee 97 e2 6a 4d +ab 7d ea 82 9e 15 be b2 f8 a7 37 91 a0 ba 15 2d +a5 b0 6a df 34 1d 74 09 e8 d3 d3 17 5b 51 01 34 +32 5a 35 32 97 a8 d6 d6 6c 09 70 03 22 ee c5 e3 +3f 62 48 6a 21 11 30 d7 4c 70 dd 92 5d f8 60 2a +e3 c4 c6 cc af 93 cc 9a 97 0d 1e 85 32 60 ee c6 +94 81 c5 f1 33 7e 9d d3 ae da 88 d8 82 99 be 08 +09 5b 71 5a 5b 21 66 e6 17 c9 26 72 2c ed d6 ef +34 + +# ============================================= + +# Example 9: A 1027-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +05 f3 74 34 88 26 1c 6f 06 25 e4 32 fa 6e b8 7f +b1 2b 26 21 82 90 bf e3 96 ba 76 ea 42 61 32 2f +81 43 e4 b4 eb cd 5d 2a e1 9b 0f 9d 8d cd 2f c7 +e6 82 32 08 a7 51 83 3d 3b 4e 8e 38 7c 39 f8 ed +6b bc 9f da ec 32 d3 ea 9a bb ff 57 47 23 f3 f1 +22 99 90 96 3e a4 fd 9f b5 44 f6 42 90 aa 2e a7 +da 63 11 91 a2 0d bc 94 23 b4 61 23 3b 93 72 49 +f2 f4 ea 10 92 8f ae 2a 6f e6 64 f1 2c 09 23 ed +11 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +05 f3 74 34 88 26 1c 6f 06 25 e4 32 fa 6e b8 7f +b1 2b 26 21 82 90 bf e3 96 ba 76 ea 42 61 32 2f +81 43 e4 b4 eb cd 5d 2a e1 9b 0f 9d 8d cd 2f c7 +e6 82 32 08 a7 51 83 3d 3b 4e 8e 38 7c 39 f8 ed +6b bc 9f da ec 32 d3 ea 9a bb ff 57 47 23 f3 f1 +22 99 90 96 3e a4 fd 9f b5 44 f6 42 90 aa 2e a7 +da 63 11 91 a2 0d bc 94 23 b4 61 23 3b 93 72 49 +f2 f4 ea 10 92 8f ae 2a 6f e6 64 f1 2c 09 23 ed +11 + +# Public exponent: +01 00 01 + +# Exponent: +01 4c c3 26 32 52 f8 c4 fb 77 cd 57 a1 42 0c 04 +c0 43 27 8a 0c 45 e7 d4 23 79 49 3e 34 0f 9c f1 +a9 6f 96 06 3a b7 59 d1 63 04 06 ae 28 6a 18 34 +b6 d1 db 71 ee 72 2c 93 74 5f dd 4a d3 3f aa 72 +d8 93 51 da 69 1a 7d 0a 71 d2 c5 5c 57 97 d2 cc +b3 b4 62 62 08 bc 5f 5c 84 fe 43 2f 66 4d c3 0e +de 09 63 e6 58 45 2b 2a d5 ef a4 93 5a 12 2f 46 +1d 1e ab 84 1c 8a e0 e6 e8 2f c1 fe e8 5d 18 1c +bd + +# Prime 1: +02 94 ea 0f a3 4e c3 13 72 33 44 20 2e 85 ec a2 +4b 5d f6 46 1a 1c 30 08 7d ca b5 d2 53 39 4a f5 +66 6f 03 5c 33 35 41 0d 8b b9 86 62 c9 78 f6 1d +37 db 4d 83 f0 b2 4c dc b6 3f ca db 79 c5 27 f5 +ab + +# Prime 2: +02 4e 19 16 52 f1 70 9f f4 74 37 40 85 81 88 8a +9d a1 09 17 c5 b5 ab af 91 46 10 9f da c6 94 76 +6f 4c 8f b0 57 96 8e 84 8d 99 58 6b 05 f8 a0 2f +ba 6c a1 eb 12 ba 08 df d4 9b 62 c2 7a 8f 15 f4 +33 + +# Prime exponent 1: +01 22 7f 36 dc 6b 14 27 89 fc aa a7 12 8b df 14 +fe d7 90 16 04 07 fb bc df bd a7 e9 88 97 18 31 +81 12 ae 81 6a 28 b0 2d 4a 0b 03 dc 8b fd d4 ff +c6 bb 67 f8 e4 65 1a 8f b0 b3 9d 70 96 b7 67 f6 +fd + +# Prime exponent 2: +02 25 ec 05 3c e8 da 6f 86 ad e3 6b d2 bf 43 93 +02 91 37 5b 1b 1a 51 d4 7d 0b 11 a5 17 8a 26 83 +34 f7 e1 94 92 1b b1 d7 5f ea 7f 56 c5 aa cd 05 +8d b3 7d 36 08 2e ac e4 83 4b 07 bf 7b dd ea b4 +b7 + +# Coefficient: +02 0b d0 f5 15 80 87 ed e3 8c b5 dc 66 e4 01 0a +e4 e4 8c c0 04 2e 15 2c d5 ee b0 51 c9 ec 45 ad +23 40 24 53 52 c0 1d 94 c6 a5 26 aa 5a 45 4c db +ae ac 85 95 34 9b be 6a 8d 55 19 a3 c9 b7 d0 7c +3a + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 9.1 + +# ----------------- + +# Message to be signed: +82 e5 c5 aa e6 4e 60 8b 27 50 4b 91 db + +# Signature: +01 45 82 da e9 35 e6 b2 ae ff 7d 72 50 89 da b0 +58 c6 78 b2 ee 28 bc d4 44 a7 2b df ac 31 46 3e +18 e9 4d 7b 5e cc 84 a4 31 69 6a 1c dd 79 f9 c0 +8c 33 e1 d4 b3 22 dd 27 7b 50 3a e6 e4 f9 c3 15 +30 5b 43 72 fe 45 fe 4a 7e bb fc 4a e5 90 fa 3c +52 0b f8 28 15 8f 78 20 29 9f 09 b1 34 ed e1 17 +b6 72 a1 ea c2 f0 50 c0 44 b2 55 ca 8d 45 52 d4 +b5 f3 f5 7b 87 34 db 24 74 50 07 44 a5 33 75 00 +5e + +# PKCS#1 v1.5 Signature Example 9.2 + +# ----------------- + +# Message to be signed: +77 e0 fb dc d6 e0 49 8f c5 68 4f f1 3d 4c 9f 5b +78 0e 77 e2 46 46 37 ff 66 ea a2 d7 d9 c3 de fb +9b 0e 3a 38 37 73 db 97 a4 fb 49 1b eb 21 14 fd +ea 2c 2a 48 0f fc 21 9b 79 6a d8 05 d5 4f be c1 +7d cb 34 b1 da 17 96 cb 9c d5 f2 41 6a b5 e7 66 +f8 e0 06 91 8e be c1 82 29 98 a2 8f ff a6 23 0c +07 87 26 fb a2 e4 a7 b0 + +# Signature: +05 93 27 ce e7 26 ff b6 03 e8 a9 fc d5 74 ab a9 +cb df c3 6c 0a a6 6f cf e3 55 5c f2 ef 35 82 d3 +22 0d f9 d6 bf 8a 78 e3 ff f0 c1 29 b3 ab b3 dc +71 21 12 a2 05 6b ca 08 63 65 54 c1 ac 57 df 87 +f3 66 41 52 68 8c 6a c7 2e 6b 88 f5 63 7c d7 3f +16 69 89 c8 29 09 fb 67 bc 1f a2 e2 d5 23 e5 1c +91 8f 2b be c1 d7 52 02 af 24 0a 61 cd 2d cc 55 +5c ae ae 9a 68 57 0d 77 81 0c f1 df 81 23 ff 41 +c0 + +# PKCS#1 v1.5 Signature Example 9.3 + +# ----------------- + +# Message to be signed: +0d fa 5b aa 1c dd b8 34 70 7a 5f 8c c6 ec e5 71 +a7 a7 fc a5 67 63 62 d2 b2 37 41 a9 57 0a e2 63 +8f 6b 1c 23 89 85 36 75 cc c6 cc 1b 4c 6d ae 23 +cd a7 1a b9 6b 5a 2f 22 14 57 50 43 3e 2d 6b a4 +27 6a c1 ff 9a 48 af c9 f3 12 f4 13 37 85 ca 5a +f3 74 66 74 31 9a 67 57 a1 64 e3 4d 14 98 bd 55 +30 90 2e 32 18 55 e3 be d4 08 81 f0 05 42 25 6a +a2 1a 42 fc + +# Signature: +01 d1 95 41 69 af 58 99 3e 14 77 2a 94 f1 9b c4 +79 24 cc db 2e 90 ee 43 36 fb 6e 08 49 8a f4 da +26 51 a2 b7 83 6c 31 3a 57 c8 61 b5 51 84 ec 3b +15 fa c8 14 53 51 be c5 a7 27 0a 3a a8 69 4d b4 +e9 a9 2c b9 32 7b b7 a4 f7 b7 0d 24 4e af 9e bf +a9 ed fd 4d 54 78 2f 3f 97 26 26 95 b9 7d 41 6e +52 7b e4 ea 2d ef fe 6e b5 e0 6c da 6f 0a 7e 41 +66 77 ac 0f d6 f8 19 5d 4c e2 89 70 d2 ca 41 1a +2b + +# PKCS#1 v1.5 Signature Example 9.4 + +# ----------------- + +# Message to be signed: +16 7e 79 56 8c 77 36 69 0c 3b ed bb c8 d4 24 eb +53 6a 12 85 5a 60 cd b1 0f 94 ba 11 23 17 e9 17 +a1 b7 d6 fc fa a3 43 8d 68 ee 09 fd 47 + +# Signature: +02 9a 2b 90 86 14 ed 7a 5f ab 72 f2 a1 c8 e5 48 +b6 f8 b8 b4 5b 75 81 fd 24 51 fe 45 a6 22 fa 0f +08 dd 0b a2 e8 f3 c4 17 20 1e a0 27 79 10 18 4f +37 6d a8 03 fa 72 c5 0d 39 be 28 82 52 6d 1e 85 +df 9a b1 79 75 76 4a cf b2 07 36 6f 6c d2 c8 b1 +36 a9 99 da af 48 f1 c0 8a 9e a1 f0 84 25 c2 1b +65 41 80 da 4a df 10 9b 4b c5 b8 17 dd 67 bf 7d +aa b4 a3 84 03 4a b4 ad e6 94 89 8c fc 27 2a b6 +53 + +# PKCS#1 v1.5 Signature Example 9.5 + +# ----------------- + +# Message to be signed: +0d 03 f7 12 84 f2 e4 83 24 2d 92 3f d1 e1 53 bc +16 0f 0c dc 2c 0b 76 f1 bc 2c f7 d1 be 9c cc 7f +af a6 af c3 90 34 01 84 09 cc fd 16 28 a7 0b 35 +83 33 bd 96 ee d3 ad f3 14 2b 17 60 bf 8a 9b b1 +9e a2 47 3a 2e d8 5c 91 cd 5f 0a 5f 2d 46 32 d6 +17 64 19 fa 1d 8c c8 8b 67 08 47 77 11 ea 49 58 +a8 39 01 fe f2 84 f5 a6 c5 02 79 8c 8b d0 a3 50 +f2 ea 83 ed 18 1e b9 70 d3 0b 78 13 4c 8e 1d 64 +f0 d1 49 5b 70 17 24 5f a6 9b d5 74 27 f7 49 20 +ba 0e ed e9 cb a3 4e b2 22 76 b0 f2 74 13 ba 3f +0d a8 eb de db 9b 0c 80 0e 44 48 1d 01 e6 bb b0 +df eb f9 a1 5e f6 a7 02 0b 2c 55 ee 02 79 11 79 +6f 66 f4 3d d8 46 02 1f 8d 6f 7e 01 bb 80 2b ac +09 fd e9 b9 04 be cf 99 90 e6 84 e6 56 9a ca eb +3c c6 4d cf 5d + +# Signature: +04 22 79 1f e7 b4 3e 1f 31 9a e6 7d 91 8c 59 87 +e6 39 36 81 a1 86 1c 1e 71 dd 6f ce 19 23 71 0d +bc ed 43 01 fd cd 4a ad 8f 4f c2 7d fa 02 a9 4d +91 bd 96 20 0a ed 8b 3c 5a 96 ef ee 7d 11 af 90 +87 fb 81 90 5c 5d f2 c2 4e d7 ed 63 d5 fc 22 ba +bd 6b 9e 3b 57 cd 25 41 9a 78 17 e9 36 16 e9 34 +54 b9 58 53 fe 52 04 b5 8c 09 8b 46 de 0b 3f 01 +f5 82 76 32 48 c2 90 b9 e8 09 69 65 24 42 a4 d8 +e5 + +# PKCS#1 v1.5 Signature Example 9.6 + +# ----------------- + +# Message to be signed: +4a ca 96 3f 14 ac f6 a7 9c 51 08 1e f2 57 16 66 +71 e3 b4 5f ee 31 24 07 ba 3c f6 d7 11 ab a1 ae +25 a4 a8 ba 45 48 19 a3 91 2a 31 2e 99 0f 1f a7 +4c bc b7 27 77 f1 c7 c6 63 a2 d1 cd b2 c5 c0 07 +4d 45 16 f4 87 17 de 14 03 e8 ff 7d 0f 9d e7 c7 +c8 51 f3 e3 51 16 8b a6 c4 14 be d5 d4 2b ae 52 +7b 72 4c eb 83 4d 79 ba cf 70 2c 56 a6 23 c1 68 +80 87 dc 9d e9 53 8e a7 c7 c7 61 cd 2f d5 78 f0 +dc 3f 55 2f fb d4 af c7 f4 ec 71 22 fd ec 1a 3a +2b 10 4d 53 2d b8 1c b9 14 18 54 d5 7d cf 54 b7 +56 01 a9 05 fa ed a6 5c 2a 7a 7b c2 b0 29 ad 12 +dd 7a 6a d1 b4 0b e0 40 28 b4 b5 b6 37 30 ef 98 +44 73 f0 c4 82 14 89 93 c3 6b 44 e5 4b e9 a5 f2 +34 e7 43 29 2a 12 a3 4b f2 ff 73 b7 f7 98 + +# Signature: +04 26 43 c0 3a da 72 4e 2d bb 19 cc 07 ad 0e 75 +22 28 b9 d3 6f 65 3c 6a 9c 0c 29 35 6c f4 c3 f1 +ca 19 37 76 d5 fe f4 3f c5 54 17 71 66 69 de 9a +b2 ad dd 3e a8 8a 90 ae 93 9a 5e b1 10 13 e2 28 +ae 08 16 ee fa 4d d4 2c 6c 08 c8 78 bd 58 b4 90 +40 29 6a 86 3b fd 11 28 5f 8b bd 31 5b e1 6d 2d +65 d7 f5 e5 f2 6a a9 71 47 f9 5f 5e e3 6f 98 9a +a8 96 d7 f9 f1 b3 05 1f 82 42 44 f9 05 96 72 3d +11 + +# PKCS#1 v1.5 Signature Example 9.7 + +# ----------------- + +# Message to be signed: +a7 5a 45 80 + +# Signature: +00 4f e4 c5 d9 14 3c 85 1e 46 16 7c c1 81 57 5c +07 5e 69 b9 81 f9 c1 03 f9 d9 b0 11 ff 8b 29 ba +55 a4 31 87 ce 87 77 99 63 17 a0 3c 9d 90 af c1 +89 0a 9a de ec 8e ac 08 7f 99 b8 15 e6 eb 2b 87 +1d cd dc 80 92 24 9d 8f 51 3c 6c 56 09 fd ae 2c +fc 6b f0 1f cb 80 25 a4 f7 9b f1 2a a8 e1 09 82 +9a 0b b3 8a 09 d1 a3 93 65 e0 40 56 52 da e4 51 +e5 c3 29 8f 47 04 05 98 ec d7 0e 4b 40 33 89 bc +d5 + +# PKCS#1 v1.5 Signature Example 9.8 + +# ----------------- + +# Message to be signed: +7c fc 00 a6 43 ae 99 79 68 01 ee 3c eb e2 cb b1 +a6 be 1c ac 15 c6 48 d4 ba 33 01 29 38 71 a9 9f +7c b1 43 c1 28 c7 7f 96 31 1f e4 3a 39 01 df 2c +2a 5c 40 4b e8 31 46 97 e0 9b 2e 80 aa c6 ac 39 +97 1b be 0d bc 26 67 3f 31 95 9f 23 8e af d1 50 +12 e4 96 7d 33 55 18 92 a3 d3 65 1f e4 46 9b 2d +ba 45 57 df 89 3a b6 b9 4f 13 25 c3 a1 + +# Signature: +05 98 5a 4c ce d0 e8 fd c5 89 24 ed ba 9e 40 0e +67 48 21 4f 8d 0b 83 aa fa 20 35 0b bf 0e 68 76 +ca 5a 9a f3 97 0d d6 3b e6 84 f9 93 6d b2 82 ff +8b 53 cf 5f 1b b1 cb f4 47 33 01 f3 72 d9 94 8a +f9 39 1b 20 02 b2 be 3e 45 ff 24 a2 d8 99 ae 8b +52 b6 71 b0 4b ab 46 01 06 be dc fa c0 13 95 9a +48 18 95 98 42 7f b9 57 15 9a 6d 32 9c 19 f3 6c +a7 53 81 b9 35 0d 34 38 9c 16 e1 80 a8 51 e4 57 +cd + +# PKCS#1 v1.5 Signature Example 9.9 + +# ----------------- + +# Message to be signed: +3d 90 de 72 35 51 59 49 24 5f 49 03 68 c1 f4 93 +83 e4 4c 1d b5 1d d5 38 5b df f5 bd 34 45 0e 63 +ce 42 15 0b 44 1e f9 eb c7 29 a9 03 34 53 f0 a9 +39 9f f6 86 1f 50 65 b6 66 6d c2 0b 28 72 03 42 +8e 72 bd f4 cb 74 8a c8 d4 a5 5f 43 d2 23 5e 0a +b2 ec 2c f2 b0 6a 01 5f 41 e3 51 68 ac 7e 3c 56 +8f 2f 16 ef 57 28 b2 be 95 24 91 9d 36 76 d6 8f +53 7e fe f2 9a 05 af 97 cf ed 7c e9 ec 45 c1 2f +16 5e 4d 7a 4f e7 2b 99 ea bf 83 31 6c df 2b d1 +64 4b 82 fa 13 e4 ff c4 49 e7 6d 44 c3 87 69 63 +51 47 8b 1a 0f 85 96 15 da 90 5f 20 e6 8b 24 56 +5c 87 3f 83 4e 59 34 58 51 8a de 41 c1 42 81 74 +da 0c 47 66 3a 76 00 c6 50 25 01 5e 09 c1 + +# Signature: +00 98 13 b2 fd c5 1b ff 88 de db ec a3 b1 4a e5 +8b c7 e7 14 c1 d9 2d 74 26 e4 94 4e f9 3e f9 ce +6d 10 dc 98 9e af e7 34 8d 0a 95 f9 9f 56 94 8f +72 60 2a c5 e8 61 4f 6b 38 e6 8d a7 9f 48 e2 76 +8e da 58 64 cf f2 54 51 37 f3 cf 4d 81 a5 ae b8 +9b 21 07 26 74 ca eb a0 00 71 00 c0 7e f4 dc bb +d0 5a fb ad 9e 8b 30 d7 46 ea 36 0d 6c f8 75 d1 +0a 67 a5 7f 4b 5d f4 12 1d 72 97 a4 bd ce 12 8c +b5 + +# PKCS#1 v1.5 Signature Example 9.10 + +# ----------------- + +# Message to be signed: +20 e6 a3 fe 16 b5 21 b3 c1 e6 ae 99 3e c6 e8 49 +a9 c1 1f 20 42 a2 d4 ce 89 cf 0f 99 e1 b4 b9 47 +1d a9 a1 73 0d a8 85 1f c5 ab 3c 09 22 05 5f 00 +37 58 b2 35 c2 8d e4 08 80 66 3f cd 80 14 07 18 +15 dd 06 49 4a 54 7c ce c3 34 8e 12 d5 38 d5 df +b4 8f 80 7b 59 e9 b7 cd 81 f3 91 c0 2c 01 6c d9 +c1 a8 4f 9c 59 51 79 d8 f2 00 24 2a 56 68 18 2c +f2 cb a3 b9 fb 6e ad 45 1d 6d 27 d9 c7 36 15 25 +d6 88 b5 52 33 ff 45 29 1c c0 74 02 d2 92 de 0b +e8 3d 16 46 c4 3c 28 88 1f d4 55 49 b1 4d 12 61 +b1 2f 12 04 38 27 6c 6b 3f 98 f5 5b cf 17 80 bc +1a 91 eb 11 d0 22 9e 1d 78 68 d7 fe e4 9d 6b 91 +68 e2 4d e1 cb 4f 0f 22 e6 7c bb 15 69 20 41 13 +02 72 94 b3 7e c7 fa e5 8b c6 4e 82 5e aa 4d 56 +94 d0 05 8f 2c d4 c7 d2 14 18 da 3c 03 07 fa 2f +04 92 e8 b3 77 58 d3 ea 40 a4 e3 0f 60 + +# Signature: +01 f0 2b 3f 83 91 23 af f2 a3 f4 3d a5 aa a0 b6 +bb b6 0c 04 37 82 f4 96 2a 7b 9f 02 5c 94 8e 34 +32 2e 98 de 37 03 e3 bb 45 a7 06 a2 bb 05 09 be +d9 f4 10 52 8c 88 1a b9 a1 dc 01 97 06 8c 37 28 +c3 71 6d 83 81 d9 f8 67 80 fe 78 a6 43 4b 72 f5 +1e 69 cd 32 a7 21 3c ce a7 43 b3 3c 3c 96 eb 00 +42 fb 98 a7 0c 2e 52 fc 17 8a b2 cb 9f f8 bd dd +c1 04 6b 08 e0 47 ba dd d6 5a 45 a4 e6 53 39 d7 +25 + +# PKCS#1 v1.5 Signature Example 9.11 + +# ----------------- + +# Message to be signed: +6e b4 9f 8a bc 5b 49 48 72 0a 7f 42 f7 40 84 78 +00 22 e0 e9 f9 f6 88 86 d9 f3 4e 7f 7f 8a c1 54 +db e1 9c 91 b8 ed 38 ec 03 6b 61 42 12 ca 35 f7 +9e d8 74 57 9e 24 85 da c8 20 5d 0e 56 b4 b4 c0 +00 0a 8a 75 a6 d4 97 fc 51 19 11 1a 40 db 51 3d +f6 61 96 55 b5 8a 11 6f ab ee 08 2b fa 79 37 3d +91 76 56 87 10 11 24 18 87 f4 42 60 8b d1 eb 1d +95 d1 76 80 65 fa 63 32 4f ab 27 36 f9 22 70 5c +f2 89 fd e9 26 74 33 85 92 07 a8 bc f1 2d 17 86 +1c fd 06 2b 88 df 78 87 0d 5a 5e 91 13 1b 63 + +# Signature: +02 a2 fa 32 71 77 96 71 0b 52 b0 51 90 6c db 98 +15 b2 d0 36 6c 07 0a 78 ff 72 d4 59 42 d7 ad de +ae 7e dc 73 ca 93 01 f1 f9 fa e6 8a 0b d4 b1 df +05 a9 a6 71 f8 a5 b7 d4 5c d1 1f dc 0f 0b a0 9d +25 ce c3 b6 30 3d 9a 66 6c 76 32 64 96 ea 31 ae +38 86 a0 c3 b7 d2 27 62 ee a2 78 93 4b 96 a4 f9 +0a 50 1a d3 08 8f 70 2e 14 76 3c e3 38 46 e2 fd +be 6d 66 1c b8 2e 6d 98 9d f3 c5 ac 8f e4 0a 85 +62 + +# PKCS#1 v1.5 Signature Example 9.12 + +# ----------------- + +# Message to be signed: +45 cf ec 13 2e e5 93 f0 c3 f3 81 3d 3c b4 49 e6 +e5 e6 1d 13 de 52 9a e3 e7 1c 99 8e a4 56 35 9c +e6 6b 82 04 5b 7a c7 97 fe 96 98 5d ea bc 51 22 +53 0b 2e 29 ef c9 75 ee 96 03 b4 f9 6f 3f f4 e5 +9b 0e 35 a9 ad 92 f2 b8 67 79 4d 8e + +# Signature: +03 9b e4 8f 13 3a e7 f0 b1 9e dd b2 13 56 09 73 +a3 e2 a1 14 6c 79 42 f8 26 4b ba 5a d0 08 69 2d +11 38 01 fc 27 78 a7 e3 3a 9e 11 5e a6 32 e5 01 +88 c8 7b 69 e8 d4 d8 cc a4 8a bf 9f 25 1e fc 00 +17 b9 9e de e5 66 dc dc 0b c5 8d bf 6d 67 bf 86 +3d b8 a8 9a bd f1 2a 77 f1 b7 0d e4 39 d1 76 f2 +ea ad a5 46 4c 79 a5 84 27 0c a5 14 f4 8f 1d ae +86 78 ec f1 ac 29 6d 07 c4 68 98 ba d4 1a cb 19 +9d + +# PKCS#1 v1.5 Signature Example 9.13 + +# ----------------- + +# Message to be signed: +22 51 29 87 15 7c f9 b9 ab 4e 53 37 b0 98 91 d6 +3c ec 37 43 c0 f7 bc 9d 18 2e + +# Signature: +02 c7 75 7f 99 93 ef 8c 6d 60 a3 f5 ab ed ce a5 +35 df f5 5a b9 f4 f6 2d 12 54 bf 26 1d d6 a2 ee +52 da 63 49 f4 7b 9b 28 9f 1d 0e a3 e0 ff 08 f4 +55 fa 54 85 65 8e 42 17 f4 40 c0 8b 90 ae 4c 6c +c2 56 97 cb 83 35 31 db b4 74 03 25 43 10 0b 5f +92 b6 78 19 5d db fb 1b 59 c5 9b e7 c8 3d d8 17 +45 cd 4e 70 9a 0e 3f 79 8e ad 5b f8 66 2d a6 5c +10 57 cc 08 2d 90 50 50 c4 65 95 8b 55 5d 77 b8 +b1 + +# PKCS#1 v1.5 Signature Example 9.14 + +# ----------------- + +# Message to be signed: +ae 48 cd 83 f4 a1 f9 4e 17 19 21 96 90 c8 c6 f6 +73 7a bd 15 e0 d0 8e 7f c2 ea 0d 31 5b 45 be c2 +46 e8 45 bf 17 60 c8 6c 3f 82 d8 4b 1e 9d 68 dc +cc 01 d9 a7 d0 7e cc 6b fb ee d8 3d 7a d0 3a 6d +56 6a 89 bc 64 42 1e 7e b4 7e 52 c0 23 86 58 d5 +e4 c5 59 7f 12 5a fc 6c 83 3c 63 cd 6f 97 f9 dd +5c ce 8a 26 38 80 7c e8 a5 83 da 03 2b ec 81 a3 +8c d2 99 a9 c7 8e 82 54 f2 88 51 64 13 52 5f d9 +4a 9e 0a 95 c6 56 d7 3c d5 2a 4d cc 7d d0 94 7f +4a 00 5e ae dc cf d0 3b b1 71 5c 35 1c f0 59 cd +52 2c 7f 53 8c 16 28 e7 2a 05 64 4e 8f ff 50 92 +6f a8 68 2a 67 53 78 6f 2a a2 61 0a bf aa 95 bf +99 af 15 61 71 51 d0 bd 0f c4 6f c3 b2 9c be e1 +e6 63 b9 23 13 6b 5e 19 92 83 9f 0b a5 2e 44 fc +cb d9 f3 20 ed e2 0f 55 a4 23 77 0e 57 3a 9f b2 +b3 6d c8 f1 84 + +# Signature: +00 fb a9 f6 f9 59 b1 70 b0 94 6d cb db 98 dc 8e +84 79 c6 69 ad ba 6c 54 63 6a 2d c7 d7 f7 03 3d +35 04 05 d7 17 f2 d6 3d ae 65 c2 4b 37 db 1d c3 +e9 f6 17 43 af 1c e6 de 24 67 d1 85 ae f0 8d 2b +f8 65 f0 75 ba a6 a2 9c 58 06 61 dc d4 a4 8f 21 +ff 4e 7b 03 9e ef 1e 1e 20 ba 80 cf 20 ea b6 ec +de 60 fa 5d 37 67 a3 0e 6a d4 14 47 13 ca 49 fc +03 80 99 af 53 6c 0d 5f 55 c4 cb 15 33 53 81 be +a0 + +# PKCS#1 v1.5 Signature Example 9.15 + +# ----------------- + +# Message to be signed: +2c 8a 00 7b 60 30 56 d3 31 87 bf 52 ce f6 16 1a +a5 f5 f5 33 7f c3 59 d4 63 44 72 1d 94 5f bc 4d +24 0d 30 62 0b 29 6c 39 77 cf 45 c2 47 eb 2c 36 +39 40 79 98 3f 03 ad 82 39 9c 4b 28 6c 48 16 59 +10 b3 48 b9 5e f3 9c 43 bf be b3 56 6d 1d 1e ea +5a 42 7f 4c b1 68 1f 2a 7c 40 1f 3f 0d 6d 9e e7 +99 3b e5 ec 5d 34 a7 55 41 e9 f8 dc 7c 60 69 a8 +97 7c 9f 93 6e db e4 1a 4e f7 85 a3 ef 7b a0 51 +89 90 09 ed 61 2a 22 8f 90 31 67 a9 34 ee e6 9b +4f 87 36 c2 95 11 c6 bd c6 1e ee 96 08 a9 91 1b +ba 52 83 9b e9 9f 91 d2 ef 85 b8 cf 10 c1 d6 35 +08 08 29 ba 79 91 fe 2e f8 2e 2b ae 27 08 14 06 +e8 9b ab 75 c3 ed 19 e8 7a 4a db 72 ec 26 21 f3 +f2 58 5b 38 cb b3 6b 3c 0d 40 5f fc a7 a6 fb 02 +24 42 07 94 cb d8 d7 83 18 01 c8 81 e1 65 + +# Signature: +04 10 47 e2 42 b6 44 87 41 f2 8a 4c 8b 2d fe ca +cc 0f f6 61 9e 95 6a 6a 6b 10 cd d0 1e ed d2 01 +c8 0e 0f bf 7c 5b ef 52 a7 aa 99 00 a8 59 39 4b +47 e8 3d 08 b5 e1 da 03 a3 35 54 00 0c ce 17 c1 +d8 62 29 a3 a2 03 50 d1 16 43 a7 58 c1 16 b8 fb +f7 26 60 df 4c 86 ef 8c 1f c4 54 4c 3a e1 d1 fc +3c e9 f2 63 f6 2e 80 07 cd 7f f7 ea 8d 50 a0 82 +83 89 ff 43 1f c5 c5 62 81 6d 3d 24 b6 07 21 1d +29 + +# PKCS#1 v1.5 Signature Example 9.16 + +# ----------------- + +# Message to be signed: +7b 15 d1 a7 9c 7a d2 d1 2f 75 da 57 d1 4a 8e b7 +1f dd 4c 4e ff 52 43 74 1a cd e2 3c e6 da d3 08 +c8 1d 5d 58 0f f9 c3 f8 93 ff 12 4f e4 58 b3 18 +84 da f7 fc 44 66 d7 00 dc 49 3f 1c 7a 7d bf 62 +24 1b 17 e7 36 23 fa 17 81 4a b4 d2 c9 24 5b e8 +3b b3 cc 5f 94 44 b1 52 17 b2 44 1f 45 9c 00 b8 +2e 58 68 9a 11 dd 5c 59 fa 39 5d 1a 6f 9b 2c 25 +cc 84 99 92 7a b9 a4 98 28 53 36 52 ce e2 32 32 +97 2d 65 69 ee 56 44 78 66 f1 0e ba d5 4e a3 f0 +61 32 0c 6d 3f ef ce 34 55 2b 62 66 96 7b 05 78 +d6 c4 55 b9 ac 24 66 36 17 12 e7 d0 5b d3 33 2e +c1 30 d4 5c 6a 49 76 16 2c 79 7a d1 36 3f 49 69 +e4 ae 3d ed 6e 36 ea 2c d7 fb 35 66 09 be 03 1a +79 b2 94 + +# Signature: +03 02 52 90 b4 46 2f 9a b7 9f df aa 7b 1d 53 a4 +d1 27 96 c8 5a ac 28 de ac 21 27 c8 25 2c 2a 62 +39 5a 8b 81 9d fc ee bf 68 dd 4d bf c8 7c 1c f3 +d0 17 a5 3a 26 40 92 50 6b b6 fc 95 28 e6 f8 76 +78 73 6c a5 6a 14 a1 aa 26 77 a8 b8 4f 5e 03 fa +2c 0c e4 78 5b 26 ba 92 e7 5f bd c1 6d 8d 4c 7f +b0 bc 39 a8 8e 13 2e 1e 05 ad 00 f1 2f 07 27 06 +34 3f 5e b3 da b5 11 2e 3b be 76 ed 0b bc 7b df +cf + +# PKCS#1 v1.5 Signature Example 9.17 + +# ----------------- + +# Message to be signed: +7a 76 44 00 1f 80 13 c5 0f d7 17 b2 44 65 47 7a +bc 34 ba 9c 1e 53 ad 76 32 64 5a 6e f7 c8 e6 4e +8e cb 7b ca 5b 4f 09 b5 2f 4d d4 8f 8b b3 dd 33 +8c 78 18 2c e8 6e 8b fb 1c 68 a8 76 f7 32 16 63 +06 a8 ea 8c 0d 7c 21 ff 26 fa af 4a b4 55 10 36 +19 50 c7 6f 95 c2 73 0b 9d 3e 4d 6d 85 ea 25 58 +4a c9 67 a0 2b 1e 0a 26 + +# Signature: +03 b2 ac cf ef f0 63 bd 17 5e f8 ae 0c b8 5b db +80 0d dc 27 77 6f 8d 3d c7 e2 1d 19 9b b8 d6 5f +5b 24 2e 79 d4 5e cd cf f0 2e 80 3f 56 81 ff 04 +4a 43 b5 5a 9a ac b1 ea f1 67 84 83 8b 1d 5a 2b +7c 1a 36 4d c4 05 31 1a 65 55 05 7e c7 3f 0a 8f +4e 0f fc a4 23 02 2c a6 ad 74 46 9b bd 55 57 bf +a1 cf 4b 95 63 6f 53 45 37 ef f2 fb 16 af 5e 64 +71 82 4a fe 21 67 91 8c 89 ad e0 1d 52 ae a7 39 +9d + +# PKCS#1 v1.5 Signature Example 9.18 + +# ----------------- + +# Message to be signed: +12 d2 24 fc 10 a0 fc 40 95 3a b6 d7 01 c4 16 c3 +a8 23 77 2b ea fa + +# Signature: +03 2c b5 c8 d6 12 90 b7 66 e6 49 8a a6 01 49 4d +9f 06 6f 27 a4 7a 28 70 f3 67 89 43 29 1a b2 2d +3c 45 c0 76 e5 60 81 9d 33 f8 89 f8 cf ab 2d f6 +c6 3c 0c e1 ed 5c eb 51 54 70 77 c0 82 78 18 7a +82 72 fe c7 de 95 54 cd c9 16 ca 72 f2 c4 51 43 +f2 cf 32 43 c4 bd 20 0c 6e 99 3f 0d b5 b7 1d 4f +63 77 1e 24 9b 19 b9 97 a6 e5 a9 19 ca 10 0c 90 +fe a6 a2 d4 dc 68 81 c3 a0 e1 c1 35 53 83 cf bb +4b + +# PKCS#1 v1.5 Signature Example 9.19 + +# ----------------- + +# Message to be signed: +e0 d4 e2 a5 e9 8a 51 23 7d a5 08 5d cf 09 8a e2 +c0 5b 4e 16 92 54 ee 6d da 16 21 0e 4a 3f e8 1c +72 56 ea ef f2 8c 0c 63 d8 54 b7 84 1a 13 6c 43 +60 b2 15 dc a0 58 74 8a 4b fa 82 58 68 04 28 21 +99 2a 4e d5 a7 d5 8f 80 12 20 75 49 be 8c c9 ce +cc 85 01 b9 f8 02 83 0f 86 58 45 ce 2e 33 9b ec +28 05 96 11 a1 a0 0b 55 35 c3 c6 15 e9 d2 a1 39 +59 f1 01 5c 8b ad 2d 75 3a 59 a6 14 3b 3a 30 58 +ef 72 25 60 ff e1 c1 84 87 c7 41 da d6 1f 07 a1 +56 42 e7 26 ad 18 a9 84 87 5e 68 c6 2e eb ed cf +94 6f 13 b8 93 b2 80 8f 78 f9 29 48 07 d7 74 68 +54 94 e6 b8 90 40 ee e6 de 1b a7 18 ba 2e 08 2c +3d 5e f1 7c 10 28 cd 66 + +# Signature: +03 e7 83 bb 53 db b6 7c f2 19 5f c1 a5 7f 4b 74 +c9 82 03 b1 f3 d6 15 fe b9 20 e4 ab e8 37 58 34 +67 2f 4b 8f 55 fe f2 ac a8 b5 d4 0a ef e4 ef bd +aa c3 e8 21 08 d0 7f 2f 1c f8 c0 d4 df f8 1b 39 +66 ec 69 be 51 17 ac 1a a6 11 8e 46 0b 92 d8 8f +cd d9 4d 08 eb aa 53 62 e5 9d 52 00 4b 43 36 95 +14 37 da 0f 51 d6 3e 50 56 15 b4 b7 55 54 08 0b +94 89 7f ef 29 3a 34 c4 04 00 c4 f9 9a a1 de fe +35 + +# PKCS#1 v1.5 Signature Example 9.20 + +# ----------------- + +# Message to be signed: +64 b3 ba 40 98 03 c9 b9 60 c1 c4 96 2f 51 27 1b +c8 9a 40 bd 40 5c e5 bc dc 88 51 d9 7c 9b e5 e5 +b7 46 4e 50 d9 9b 6c f8 ad f8 ff 83 2b 73 7d e8 +b6 ff 1a be b8 9d ba e9 3a 90 63 94 87 80 6b 05 +96 cd 31 68 60 f6 8f 00 27 a3 50 3e 15 89 67 af +df f4 69 07 68 17 fc 7d a3 22 3c ca 1e 6c 48 97 +3b 57 0e 0b f7 4b b8 b3 96 54 37 2b 7a 1d 6f + +# Signature: +00 d2 00 eb a0 b6 52 2a fb 42 0e bf 16 48 8c 53 +03 52 c4 2d de 81 e7 64 c0 ca db 43 82 8c b9 98 +d0 a6 0b 23 b5 b6 95 8a 00 fc 25 53 e2 35 e8 57 +4e 4d 4f ec 9e 66 8d ba 40 de 66 61 ab e1 3f cb +84 c1 ad 15 c4 b0 cc 0c 6f 4f 0f 83 77 87 c4 32 +5f 04 5d 61 ee 2c 99 72 b0 1f 32 12 65 4e c4 26 +62 56 7f aa c4 0e 9c 0a 28 15 8a 2a 6c 31 f0 1a +84 91 26 df 9e 96 cb 82 09 be b5 81 d6 84 6b b5 +ab + +# ============================================= + +# Example 10: A 1028-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +0d 5f b9 9f de df 42 56 e2 8d 4b 41 d7 07 fc 27 +63 3e 89 95 15 f4 da bf 6b 46 27 10 ac 11 25 81 +fa 73 fa 83 69 58 2c 9f d4 52 5a 70 16 18 99 df +63 25 84 9e 5c 43 49 3e 13 35 4e 27 09 55 a4 3e +38 35 b5 99 8e d4 2a 57 5b bf 68 8d 69 ec 36 6d +2b a6 f0 50 4c 1e e1 7d c5 9b 7e a0 b4 64 0c be +cd 8b d7 96 2b e8 56 6f 0e bd 65 57 43 65 6a 29 +12 85 e0 37 bb fa 86 55 80 1b d0 31 4f 46 4c 56 +91 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +0d 5f b9 9f de df 42 56 e2 8d 4b 41 d7 07 fc 27 +63 3e 89 95 15 f4 da bf 6b 46 27 10 ac 11 25 81 +fa 73 fa 83 69 58 2c 9f d4 52 5a 70 16 18 99 df +63 25 84 9e 5c 43 49 3e 13 35 4e 27 09 55 a4 3e +38 35 b5 99 8e d4 2a 57 5b bf 68 8d 69 ec 36 6d +2b a6 f0 50 4c 1e e1 7d c5 9b 7e a0 b4 64 0c be +cd 8b d7 96 2b e8 56 6f 0e bd 65 57 43 65 6a 29 +12 85 e0 37 bb fa 86 55 80 1b d0 31 4f 46 4c 56 +91 + +# Public exponent: +01 00 01 + +# Exponent: +e7 6f 42 b4 74 02 d5 e0 f9 64 64 92 5a b4 b3 bc +68 94 30 0e e4 86 fb 70 ce d4 91 f2 d1 b3 67 80 +84 c1 c2 cb 96 95 68 a5 f7 7d ab cd 40 93 39 37 +a8 67 f9 34 fb 2a ea ae 6d 78 67 98 e0 d0 4a 10 +6f 54 5e 41 a9 c9 38 33 d8 1f d4 d7 53 53 17 9c +b0 bc a4 5e 79 aa c9 41 34 64 b0 36 7f 31 ac 5a +ca 56 6f 22 14 bf 51 46 a9 48 4b 87 e4 2b da c2 +b0 1a 99 67 03 50 6b e0 77 49 aa 0f be b3 b2 29 + +# Prime 1: +03 ff af 4a 61 21 d7 42 0c fd a6 4c 41 71 2f 47 +c8 f2 d0 d2 5b 17 e9 5b 35 41 42 84 69 10 af ef +bd f2 1e 74 23 e8 b3 be 44 ae d9 af 5e 49 81 68 +5d 3b 9a 1d 59 c9 b9 47 fb 9c 33 9c 9a 31 e5 7b +d9 + +# Prime 2: +03 58 31 e3 b9 29 3b cd a4 51 be 9d b1 91 97 48 +6a a2 e2 2e 92 98 65 0f 2b 7f f4 25 69 eb ec 33 +d2 0a 34 98 44 a3 3b ea a0 93 d1 43 4a fb 4a 04 +a0 4a ed d3 bb c4 b3 87 77 a5 5f e6 50 5b 8c 15 +79 + +# Prime exponent 1: +02 8e 91 d5 ab ba 69 dc 50 56 38 e9 f5 c6 9c 06 +f8 d5 5a f5 c7 4d c8 e7 8b 6c 09 4e 85 a8 27 f7 +d2 ab 69 11 b6 8c 6b b2 b4 54 61 d9 a3 1e b9 62 +b4 8b 12 06 c6 8d 18 ae 90 92 d6 e5 c2 2b 39 a4 +31 + +# Prime exponent 2: +02 98 04 e1 32 fa 3a aa 4b 15 26 bb 50 3a b4 d4 +71 f7 6f 69 65 42 11 a6 89 3b 0c 13 74 29 87 9f +cc f7 23 41 30 82 54 76 ac 20 d7 fb d3 8c 3e 24 +86 58 76 48 6e e8 a7 bf 99 58 45 9e ee 95 81 78 +29 + +# Coefficient: +02 11 97 5e 88 56 d4 ea 9d 1d df 87 b8 7d 39 79 +2f 1c f7 e2 f1 82 f4 a4 e6 91 e5 00 2b 10 a0 8a +46 dc a1 a4 f4 83 00 85 d8 d4 0b ea 1d ff 11 b0 +c0 df 20 22 43 eb 99 3e 58 0a 94 49 9b 9c ed d2 +be + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 10.1 + +# ----------------- + +# Message to be signed: +b2 d5 88 50 9c 2e ac da 28 1e 76 71 cb a2 fc a9 +14 ef 73 a3 ae a9 20 20 43 ea d6 b7 21 25 c1 b0 +d5 cc 15 41 46 20 d5 73 d7 ab 0b 3a 8a b6 6a 92 +df 87 0b 75 b1 c4 d6 8e a7 05 6b e0 41 9e a2 53 +e6 b0 8b 12 9e 0f 64 f1 0a bf 82 e1 67 f8 e3 e9 +28 2e 7b f7 1b 04 3b aa 2b a2 d8 75 6d 46 b6 d3 +6e 97 34 15 f4 f8 c0 eb 43 fc 60 4c ed 49 3d c0 +46 a2 5a 11 9b d1 58 1d bb 59 7c 3e 67 c2 fd dc +39 6d f5 d2 3b 7b a8 0b d2 e3 12 90 bf c2 62 25 +e0 09 55 a9 8d 91 19 11 a3 99 67 6f bb + +# Signature: +07 9a 7b 91 6f 67 41 17 f1 d8 77 f4 93 43 25 68 +41 48 d5 d0 b0 d5 c2 c6 15 6a 11 15 9b c0 bd 30 +d0 a7 35 34 dc 94 45 eb e2 06 d6 07 5e b4 ea 7a +7c 04 32 bd 44 b8 3c fa e4 68 5a 9e b9 a9 7c bb +fa 4e 82 f7 1d b5 1a fa 0d 27 cf 27 f0 60 9b b3 +f8 80 64 13 24 7d 5d 49 54 f7 89 a1 01 bf 39 21 +72 8b 48 7e 85 fa 3f d4 dc d7 2d 04 44 8e 42 d3 +ec 05 cc 47 5d 74 cb f7 65 c3 4e 3e c1 4c ca 50 +40 + +# PKCS#1 v1.5 Signature Example 10.2 + +# ----------------- + +# Message to be signed: +ca 25 18 a5 a2 24 b2 3d 42 05 d8 dd 7e b0 4c bd +cd 0c cb 82 bc 87 96 1d 85 9d 66 00 b1 ac 3e 25 +a9 40 7b 6c 06 50 27 c0 40 81 f4 45 a2 30 ab 93 +08 e7 55 f3 3a 75 97 73 be 6b 96 9e 0e a7 74 aa +6e 33 4f b6 04 18 42 75 f3 6a 03 1d ae a6 51 86 +97 79 5b d6 a7 d6 69 7b 40 6d a2 ce ce 15 dc 11 +3d 85 44 98 85 61 13 1d 4f c6 f6 e3 c5 80 d8 06 +80 7d f2 c6 85 65 09 54 2e 4e d3 9d 34 6e ba 15 +97 6a 8f d0 1d 79 41 b0 16 56 06 c7 61 76 64 9a +16 10 05 a0 + +# Signature: +00 be b9 21 ce 74 89 81 9d 2f 85 c7 88 39 a2 7d +7e 19 ea 0a 76 4a c5 31 01 e8 6f 31 70 a7 6e 31 +8a 7e e8 9b 1f 5e 23 e7 e2 db 96 66 eb 43 91 b2 +79 2a 57 67 ee 35 9b 5c 71 e2 74 79 10 c8 2c 60 +83 d6 d3 48 29 b9 6f a5 a2 ec 0f 62 f1 bc da 5d +78 f8 dc 3c 65 0b 94 e3 2b 38 60 da 5f c5 b1 7f +bf 68 7e c0 07 5a 9c 73 dc 1e 98 d1 f3 6a ae c4 +49 3f 78 91 e3 ab 08 e2 04 2d 8b 1e 46 2e 8c 4c +33 + +# PKCS#1 v1.5 Signature Example 10.3 + +# ----------------- + +# Message to be signed: +d4 33 d1 5b 2d 61 b8 6a c8 ec 0d ae ba 65 e1 1d +ed 3c 38 84 25 25 e4 b7 c8 e4 53 b0 f5 53 cb 4e +b8 75 a6 9d 78 16 f5 4c 87 79 3e 3a bb 79 fc 55 +11 35 37 b4 76 29 65 cf ee 58 6e 0a 17 99 78 51 +e3 dc 9e af 6f 1c 9c 2e 98 c9 61 3e 3b be a0 13 +ff 58 61 6b 2a b0 5a b3 24 a9 c5 ff 4c 5e fd d9 +90 dd 97 d9 16 93 c1 eb d4 c0 9c 73 21 16 c8 df +c3 ec 51 5c 20 53 2c ba 7e 47 58 c6 8a 69 cf a0 +ac 31 86 + +# Signature: +03 ae 3b e1 c7 44 6a d3 ef d8 ba e6 1b 3d 32 d3 +ef 15 24 82 b1 bf ee 31 2f e9 e6 be ee ab 8c bd +08 f4 c8 f9 cf 06 7d ea b6 ba c7 c0 fe cd 87 bb +ab c7 f6 79 8c 77 ef 1c 3f d8 bc a2 8c f9 ec e6 +56 79 5f 60 b3 78 75 ea be f8 21 53 a1 2b c7 fd +e3 fb c9 e5 e1 48 f4 e1 6c b7 2a 77 3d 9d d0 23 +17 f7 0b 33 91 40 08 05 e8 5e 7a 23 56 7b 34 aa +65 a3 5f 74 41 70 af fc b3 23 37 1a d2 ab 9f 1e +4d + +# PKCS#1 v1.5 Signature Example 10.4 + +# ----------------- + +# Message to be signed: +7d 0f 5b d7 90 0f 1e 65 65 4e 6c 7e eb 06 4c b8 +28 f3 55 d6 de 9b f0 d3 47 83 ff cb e8 0a b1 b8 +ae 07 b7 f1 e3 f5 a3 20 dd 9b 8b 76 be 0e 97 72 +de 19 a8 d3 + +# Signature: +09 e7 a5 30 41 71 da 63 8b e7 60 1f bf f6 e4 95 +36 f3 36 60 82 25 3a bc 1d b5 d1 b6 54 93 da 59 +5e c9 3c 37 f5 89 0b 5f 47 15 bd 5e 80 c0 bb c5 +c6 3b 74 af 2e 60 43 91 32 d2 52 13 75 0b c1 de +30 2e 3e 8b 83 da d2 de 0d ff c4 fa ab 40 56 dd +7c 40 5e 04 d5 94 24 53 65 9d 49 0f 3c 3d aa 7d +3f 11 70 11 81 6b 56 59 01 04 de 7f 9c 05 23 73 +e2 dd e4 14 49 04 27 a5 89 64 49 3f f4 5f 08 a6 +e8 + +# PKCS#1 v1.5 Signature Example 10.5 + +# ----------------- + +# Message to be signed: +d9 6a a0 91 c1 60 b5 52 b1 6d f0 65 8f a8 + +# Signature: +0b 69 75 4e d6 d7 a7 d2 d8 5b 2c 7a 30 6c 78 d6 +3d 0f fa 43 8f 43 be ec 3a 02 86 ce 57 e7 e0 f8 +5c a4 30 e6 39 08 c0 fa 58 4b a2 50 5f 8c 94 65 +6e c0 24 94 bb 03 2f 92 0c 4b 6b 8c 94 3e 6b e9 +2f 57 8a a8 cc df aa c0 a5 4b 8a 9c 0d f5 48 27 +1f 89 73 c9 ff a2 a2 0c 84 76 2e 90 17 e7 45 2e +5d 74 da 69 0f 75 c0 99 ab 91 e2 a7 96 3b c5 37 +f9 c2 4c cc 3c 41 8c 6e 98 58 61 d9 3d aa b2 e6 +13 + +# PKCS#1 v1.5 Signature Example 10.6 + +# ----------------- + +# Message to be signed: +56 f0 48 64 5a 49 fa 01 41 f4 d6 74 aa fc f2 ff +fa 83 f9 b4 52 f1 fe ed 43 05 7c ac 27 67 5e a1 +a1 41 d8 7f 92 f9 ce bf 6e e4 f7 8f 8e d4 c3 a2 +9d eb 72 97 47 b4 f9 8e 4c 75 90 aa a8 d5 6d bc +61 d3 8c b5 62 22 26 f6 8e 43 f9 c4 f4 c0 39 98 +ae e9 09 34 39 5b c8 40 c8 6d cc 88 74 77 6f 43 +03 9f 56 a8 9d 24 bd c4 b3 05 df 09 e5 ca 0c 05 +12 ad 6d 15 71 91 9a 3d b3 a6 bd 98 b7 82 0a da +08 69 d2 25 a4 04 02 7a cb 6d 76 7f c3 14 db 37 +7e 8d 1d b6 ef 0a f2 94 54 db 2b d4 c1 ce e0 13 +a5 97 43 48 6d 32 32 95 83 cf 80 11 3c da a1 0e +4f 2c ea 6c 4f 9f c6 e4 e2 71 6e de 85 72 7c 3a +fd 43 49 46 09 77 76 30 ee 33 63 7e a3 5c 9b 4f +68 8e 49 2c 3c 64 0d + +# Signature: +06 66 ef 71 e2 c8 a1 eb 1c 46 40 3f d2 3e 52 18 +83 ad a1 b9 bc 5f bd 35 3b bb 3c 3d fb 57 0a c1 +c7 21 fa f3 f5 97 32 f2 13 37 73 80 39 79 48 46 +2f d2 0a 3f 0e 5e 08 91 a6 b0 7c 31 b3 60 aa a9 +65 e2 f0 93 0e b3 41 ee 77 ec 43 90 65 c0 aa d9 +17 87 ab 6d 2e 6c de dd f5 54 81 65 1a eb bf 9d +11 d5 4b c1 13 26 18 3e bf f4 9b d4 0b df 76 d7 +ef 69 b6 7e a3 96 8f a8 49 03 2f b8 24 b6 dd 6a +e3 + +# PKCS#1 v1.5 Signature Example 10.7 + +# ----------------- + +# Message to be signed: +79 da 89 e3 55 d5 51 a0 e0 31 f4 fb 71 ab 6f 41 +44 c4 76 2e 07 d0 64 14 33 cb 5e c8 61 34 96 3f +7d 2c 4d c7 be b5 c6 d4 61 57 c6 c4 e1 4a 4b 9c +7a 2c 0d 46 0f 1f c0 62 ea 1b 4f 98 74 d5 b1 c2 +9a e2 f2 a5 b3 90 62 e4 12 12 e6 5c 85 c2 8e 76 +75 89 96 5d 17 10 ad 5b c7 6f a5 a6 72 9a 06 fd +49 6e 2e 09 97 e5 73 37 bd 51 6e 6b c7 9b e9 e0 +70 aa 7b 86 c2 dd f1 4f 94 98 5f e1 58 2a 29 2c +d1 39 34 b3 c3 8d fe 59 77 ed 1d 9f 8a d3 24 c0 +dc 07 e5 85 3c 7e 48 90 bf bd c1 a0 1e cd 72 c5 +ff 68 a0 2f 1e + +# Signature: +0a 06 82 f7 42 e7 43 e1 c7 da ba ac 61 8a 78 6f +28 ed 13 a6 58 7a df c3 3c 98 29 d7 52 c1 3e f2 +7a 00 c7 e6 d4 5e 27 17 1a 58 41 77 1d 78 69 8c +6c c6 67 78 b8 c0 93 38 e3 5b 9b 6f 59 c0 64 ce +b3 eb 20 ce 90 9a 5c 6c ea ae bb e9 3e 86 c7 c5 +ff 4a 39 17 f1 26 81 96 32 cf 96 fa b1 d3 91 73 +a7 ae 7f c2 ff 5c 0f b4 09 05 35 da db 58 d8 7d +0d a3 db 32 ec ec 13 71 8b 3a c5 c3 0b a8 02 e3 +8b + +# PKCS#1 v1.5 Signature Example 10.8 + +# ----------------- + +# Message to be signed: +e6 9a c9 43 3e 6c 28 ac 53 f8 03 4a 86 8d a9 88 +3e 31 9e 82 e6 bc 2e 49 45 5e 6e 4f 09 8b 53 f2 +87 a8 58 da 1d 87 6a 9a 5a 6a 9f c1 4f d2 42 38 +cd 4e 4b 57 31 07 7a 4d bd d5 03 8a 9b c1 f5 de +f4 3f ec 77 f6 7e b0 62 fa ef ef 7d 04 29 23 8b +25 d0 31 85 78 96 62 3a 3f 1d 37 bf + +# Signature: +08 a0 20 e4 20 98 78 f1 e6 37 ad 59 da af 83 5d +af 4c a6 64 84 47 94 c1 c6 48 f0 e2 23 3d ba 75 +48 bd 16 1f 0c 0a 18 24 d7 62 03 1a 41 75 72 84 +2f 8e 64 4a a9 3f 9d 91 dd 77 09 e1 6a 42 9c c1 +43 90 3e f4 f8 37 a4 58 39 6b ca c2 40 92 b0 17 +24 c6 fe 3d d1 ad 24 3f 3f 70 b5 ae 6f aa 09 f3 +70 ca a5 12 10 4b 91 76 06 0d f2 bf 12 1c bc e9 +19 8e c2 fe 45 a5 9e bd dc 46 75 32 b5 af b9 b2 +35 + +# PKCS#1 v1.5 Signature Example 10.9 + +# ----------------- + +# Message to be signed: +45 e0 90 56 a2 8e 4b 2e 7c 11 f6 5e 68 8a 1e 3c +33 f0 e5 2c 9a 03 6c 09 d8 1d e5 a6 da b5 8d 4d +55 cf 41 1b 53 ad 64 6e 83 a3 4b 0c 08 c2 21 ae +03 76 ab 76 a7 9d 1f ee 67 1a 58 44 20 56 4f 8e +85 2e b6 f2 d4 27 ae e0 a0 96 dd 72 db e8 50 7c +67 7f 8a a0 0e b7 c2 5d fb 0a 49 dd 88 a6 c7 84 +76 b8 00 11 b6 82 8b 3a af 46 47 79 44 22 ba 6b +d6 3b 7a b0 e7 da fb d3 6f 6c 41 de a0 3d 73 22 +35 64 96 94 60 d9 28 54 0b 73 92 57 e7 0b b6 8d +5c 65 3c 37 96 94 58 95 + +# Signature: +08 71 7d 50 86 a6 45 3b de ff 77 d4 c2 b8 56 e3 +ba 99 0b ab f6 97 01 df 6c a0 a3 b3 a8 1b 55 69 +7d 31 88 9d 10 0d 68 95 c9 7f 0a 56 b4 71 68 c9 +8d a6 2e 59 ec 79 d7 ae ab 2f 9a 57 07 46 98 8a +26 f4 23 57 6c 70 3f d8 41 ae 51 c9 c2 29 a2 e9 +c2 5f e9 4c 5b 6c e2 fa 64 54 12 be e6 59 fa f6 +09 a3 2e b2 c0 5b ee ab aa 4f 58 ca ac 31 33 e5 +ea aa 27 34 4d 30 ee ca 22 c6 eb d8 d9 e3 44 41 +0e + +# PKCS#1 v1.5 Signature Example 10.10 + +# ----------------- + +# Message to be signed: +b8 1c 8b c4 ac 1f d9 71 b2 1f 02 7e 06 f4 d8 7b +34 d5 76 9d 23 c8 59 9d 1f 15 7b 08 a7 f9 2e 34 +19 fe c4 c8 c1 b3 4c a4 63 c7 68 b7 2e 07 f9 da +bc 3c bb dd 8b 56 17 cc 25 28 75 00 2a 1a 13 92 +af 0f af c0 8c 72 11 75 8f 3c 04 20 50 ad 73 1b +63 6c 0e 83 19 1a 79 de 5a a2 cb 94 dc 8b 0b dd +e7 5d b7 d0 c8 ba fb 42 23 d3 47 b0 24 b3 d9 c6 +b2 39 61 9b 5d 8b 63 46 ea 86 fb 8f 24 c5 84 dc +1a 47 79 1c b7 c8 c7 eb f1 ed 43 8b 88 + +# Signature: +01 b9 f4 33 94 c7 cb 88 5b fd cc 3c 84 96 22 23 +e8 aa a9 4c 6c 9b 79 05 40 1d 24 f0 dc 44 3b 2e +8d 84 0e 28 a9 5f a2 2e 1a e3 6f fe 08 96 6f 38 +d3 87 14 cf 68 da 8d b2 37 64 b8 8c 4b b2 be 4f +d3 da 9c cd 1b 50 69 42 aa 9d 73 fc 09 38 2d c3 +30 83 14 70 6e 6c e2 7f 00 76 1f 3c 9b d5 4f a0 +e3 1c 96 71 9a fb f0 76 3e 35 ca d8 89 b7 2e 13 +bd 12 b7 6d 6f 20 20 fa f6 1d d3 d7 08 22 8d f0 +6d + +# PKCS#1 v1.5 Signature Example 10.11 + +# ----------------- + +# Message to be signed: +d0 32 28 83 e5 98 16 3d 72 20 36 da 3e 63 2a a6 +55 97 ac bc d1 f4 76 03 10 96 96 f9 b3 9f dc + +# Signature: +07 8d 17 ab 8e 6f f0 be 50 b3 53 9e b0 3a e8 f0 +90 3b 7a 07 74 81 78 1f b0 b1 f0 9e dc f7 78 86 +31 2a d6 c0 60 27 4f 0c 38 9c 16 31 40 40 c8 d7 +d9 90 9c b7 5d f1 8c 82 d6 2d d3 4e b5 9c 6a 87 +d3 c4 6a 7e f7 47 4a 5e 44 7f 77 44 a6 a9 2f 59 +90 ea ec 7b fb 00 84 4d 68 4d 30 7d db 49 81 89 +41 49 e7 52 bf be 2e 77 05 7d a7 60 54 69 af 7f +fb 67 27 a9 98 1b 94 39 ca a5 d8 0e 6a e3 b3 d6 +51 + +# PKCS#1 v1.5 Signature Example 10.12 + +# ----------------- + +# Message to be signed: +e8 74 2f 04 b5 65 4d 92 88 b2 31 a4 7a 36 58 39 +bb 01 be 87 + +# Signature: +09 b7 53 06 a7 21 2e a6 f4 7e b0 cc f4 e2 e0 d6 +f8 f3 ab db 9c dc fa ad be 51 92 2f 92 ea 62 62 +3c 58 ea 74 ea 1a 24 7c 9d 73 1f 2c 03 35 36 b3 +52 73 c7 17 49 5f 32 5a 60 40 5b d5 f5 e4 05 b6 +80 27 9e 75 21 60 47 87 40 45 72 16 dc 92 9d dd +65 de a5 05 53 55 46 e4 77 0f 82 11 b8 49 c3 65 +21 8e 56 6e 5b b4 1b fc 36 1b 65 cd cc b0 e6 04 +c9 ed b9 70 ee 6a 28 6a 1f ce c0 ae 9d 92 55 8e +ab + +# PKCS#1 v1.5 Signature Example 10.13 + +# ----------------- + +# Message to be signed: +a0 3c 2b 85 fd e4 64 68 d1 c5 06 37 b0 0a 72 dc +fc 32 c4 16 31 73 9c 06 02 45 f5 3e 57 c6 6c 51 +76 6f 24 ea fd 93 e6 c6 67 43 48 05 91 bf 14 44 +6e 04 0b 67 a4 f8 46 99 57 6c 2e 14 63 ca cc bc +b0 73 e4 b7 ec 6d a6 c8 cb 41 d4 a1 23 c7 48 cd +7e 83 d2 61 e5 4c 2f d2 bc 49 5b c4 c4 4a 78 f9 +82 00 34 03 09 2e c6 96 0c 08 8e 2b cd e3 48 a2 +e0 e5 5a 4b 4f 42 ea b2 29 b9 5c 38 3f 21 13 ed +6c d1 f3 f3 16 7d e3 d2 8d 36 2c 8d 78 b2 eb 6e +31 62 0e 34 b2 f0 f9 41 da cd f7 b4 b8 56 8c 6a +86 3a 55 1d 7b d4 a5 d7 09 3e da 69 e1 e2 80 56 +dc b1 eb 69 ae 03 ad 74 be 72 a7 5a e8 fb 56 a2 +71 25 ca 3d 2d b3 76 9d 13 d3 5d b1 08 e2 64 4a +7f 3b 37 93 8f ec 97 62 31 52 06 d3 0c cf d5 76 +ae 7d e0 76 98 69 e5 04 4d 07 64 6c f7 8c 64 a4 +86 48 0b 0f d4 2c c7 b2 46 + +# Signature: +05 8d a5 49 4c 4e 98 aa 12 1f 67 f6 5a 2c 86 54 +25 a9 e6 00 2b 22 3f 03 88 80 97 53 57 3b 4f 33 +4d e4 5d 8f 00 07 25 5d 11 2d dc 84 db 26 67 00 +e4 40 b5 a8 69 00 c3 d3 d3 5b 02 4c 18 d8 a2 5a +58 00 22 6d 0a 56 d8 38 d8 91 9e 6d 5a 87 30 d6 +19 49 90 15 ec 46 65 c6 3d 77 80 83 a0 42 dd 4f +05 2a 1b bb 5f 40 80 cb bb 41 fa 94 5b ad 6a 74 +77 9f 68 07 25 e4 7a 08 a0 51 4f 35 0f a5 ad f9 +0a + +# PKCS#1 v1.5 Signature Example 10.14 + +# ----------------- + +# Message to be signed: +c4 0c 70 f2 6d a5 69 48 6b ac e7 85 da 32 e3 37 +a0 eb 94 fb 3a 0a a4 09 c5 77 01 75 c8 e8 cb 2b +aa 8d 2a 1b 98 46 c3 7d f7 d6 71 03 6d 5e 91 + +# Signature: +05 25 61 28 af ba 1f 55 d8 1f 79 ea 33 87 91 47 +a2 4a d7 77 93 46 ee 79 8b 21 1c 24 71 53 ea 38 +d2 6b 21 70 65 f6 1e 01 10 b5 3d 72 cb 64 93 4d +9b 1a d1 b3 de c3 32 09 2d 25 8f 0c af 1c 4a ee +8b 23 e0 9b ab 0f 0c 27 88 58 b4 41 d0 8c a3 ae +9f 00 aa 9a 3f 01 8f 7d 9f a9 8a 18 df 0d 24 84 +7e 56 7a 47 f5 77 9b d1 79 3a 4b 02 52 f2 ba d4 +0c 9c 4a 81 30 1c c2 8c 26 09 d7 bb 33 37 e9 7f +14 + +# PKCS#1 v1.5 Signature Example 10.15 + +# ----------------- + +# Message to be signed: +9e 6d cb 11 e0 e8 47 71 39 fa f0 41 a7 4e 2b ed +64 3a 62 ad ed ac 7c be f3 65 ec c4 3a e4 e5 82 +60 bc 72 46 23 bd 63 42 dc 66 0d 66 14 2e a6 36 +80 71 5f 52 2f f3 cd 4b 63 6f 84 aa 9d 75 fb fb +c3 84 10 7e 43 00 4d 98 6f bc e1 a2 7f 7e cc 7d +02 39 2c + +# Signature: +0c cf 23 4e b4 80 08 5d 92 0d 37 d6 87 96 5d 2f +d2 e4 a4 f3 bd 3b f7 dd c1 6b 5d 62 a6 90 32 74 +20 7c 6f 90 83 6e 29 ff c6 3a 57 f9 81 30 c5 25 +23 25 19 c7 08 f0 dc 8a 12 55 ab 55 db 1a 2b 9a +bc 11 06 16 02 07 5f f6 f9 7f 90 92 79 6b 98 87 +1a 6c d5 d2 61 7d dc 9d 25 5a 73 00 c9 10 fd 21 +0b 14 a9 81 e5 a0 e0 c6 bb 2b 04 5f a9 75 68 98 +b9 3b 8a 63 45 44 d7 7a fd b1 cf 0e 79 58 f1 1a +43 + +# PKCS#1 v1.5 Signature Example 10.16 + +# ----------------- + +# Message to be signed: +20 bc 46 3b 5e 12 20 a3 9c 84 e8 9f e6 71 6e ec +ab 55 55 f8 bf ce 60 cf b8 37 93 cc 40 a4 da 1d +22 c0 ab 4e aa 93 1f b7 47 be 35 f1 cf 6f b1 46 +5b ef 1d f2 76 0f cb 3f 70 d3 e2 96 e7 b2 70 45 +0d ff e2 d5 88 c4 39 6a 5f 6f 1e 63 87 aa 86 97 +1f b0 ad 24 df 55 04 43 dd 12 2b db 2c f3 c9 ed +61 25 fe 55 ce c9 91 cb ae 8e e1 56 2a 8c 0f 4f +36 4f 8f 0a 80 cb 30 fd 99 44 0b f6 55 f0 80 4f +92 96 8c a2 e0 1c 0d 5a bb 4e e2 67 63 6d d4 f5 +11 a8 d3 29 41 16 21 6b ed c1 08 86 45 e4 65 d8 +e1 98 b8 af e1 cd 54 24 b4 2a 53 3c ed 19 8a d5 +97 + +# Signature: +05 1b 71 42 66 06 6b bb 81 9a 2a 38 05 a8 9c ff +46 18 75 c0 95 f4 f3 89 82 d1 af c2 ad 2f 14 24 +50 b8 a7 52 94 7f 03 1c ce 2c 9c 34 0c 8a c9 f9 +f7 a5 48 b7 cc 17 e4 cc 52 56 96 ea 0c 87 53 a1 +e1 5b cb 98 5d ea ec 77 6f b9 e7 d9 f7 58 62 f8 +98 35 23 d9 f8 71 c6 3f b7 56 1a c7 1c 37 6b f4 +95 d4 32 38 59 bd 14 18 8f cd fb 4b 37 ab cb 5d +c1 a5 8e ed ea 7e 0f e6 2a c1 6e 20 8a ab 4c ee +26 + +# PKCS#1 v1.5 Signature Example 10.17 + +# ----------------- + +# Message to be signed: +92 da 26 0b c2 13 b7 2b 48 a0 57 53 50 3d 00 a1 +db fd 02 ac 7b 9f d4 4d 24 01 ea 7a d5 8a d1 86 +1f da 53 63 29 ae 41 73 c9 16 80 05 b9 66 2c 05 +cb ea 47 ad 86 4a f7 cb 16 60 2d 3d 18 34 71 bc +98 bc c6 2c 6d 00 d3 34 bf f5 b9 0c fe 7d 7e 12 +d0 7f e7 d4 cb d9 dc d3 c4 c2 34 90 be 8c ba dc +08 c9 17 79 80 37 3c 79 eb 4e ea 6d 81 a6 be e2 +27 0b f4 20 f9 19 79 ad 3f 27 1f d6 8d d4 28 3b +e8 14 10 92 8c a4 5b 9d eb 58 d3 ae 98 b2 f4 fc +a6 21 25 95 0b 5e e1 28 db a1 05 c3 5c c3 98 d1 +5e 74 2b ba 92 69 7b 5c 62 b2 67 ce 01 14 1c ec +ef 80 75 07 de 29 c4 85 30 5d 0a 99 09 43 23 0d +8d 9b 72 52 ee 0b 19 56 de 84 5f 2f bb 28 38 78 +5b 47 0a 7c 20 53 db 39 6b 31 5a 30 d8 a7 f9 1c +ff fd 03 e8 a3 9b a8 bc + +# Signature: +03 e2 3f 86 52 37 4d 48 d3 81 c3 78 35 3e b4 7d +90 64 cd 70 8e 1b 9b f6 88 70 4c 04 c0 09 00 88 +46 e6 a4 7e 0b d2 e3 0c 33 40 f5 d4 e1 9d 2d c5 +d8 89 0c 8f 01 04 dd 6f 5d d6 ca d9 c4 d9 94 84 +09 c3 cc 0b e6 70 71 9d d0 48 41 80 89 1c 93 5b +99 79 db 8e b4 68 a2 3e 4e f4 60 29 f3 af 14 57 +4b d1 0b 47 3e dd 9b 12 7a 30 6e 51 24 ad a4 02 +c1 48 f5 1b 52 e7 e6 28 bf ac ec 3f c2 54 3a 0f +92 + +# PKCS#1 v1.5 Signature Example 10.18 + +# ----------------- + +# Message to be signed: +86 03 a5 62 2a 2d bb bc bb e5 33 30 e9 08 d5 a2 +5f 6e 67 a5 1e 07 68 d7 c3 c3 fb e8 b9 2e 8b 1b +36 dc 00 74 3c e3 3d a0 f1 c8 cf b0 0d 63 ed d6 +b2 25 2f b6 72 13 97 d2 50 4b 30 ed 1d 29 3a 82 +e2 44 c9 51 bb fc 24 29 8a 42 ff ee 26 e4 56 a7 +be 10 5c b5 e3 7b 3d 25 de 28 bf c0 10 42 c4 a8 +2c e8 70 45 54 87 e5 b3 0e 26 f8 d5 39 8c 86 12 +6e + +# Signature: +08 22 fc 22 a9 cd 87 7c 09 b6 f9 2e 80 17 cc c0 +28 d5 37 99 67 c7 d0 4e f3 2f 86 9c 7e f6 7d 59 +3c 77 45 f6 29 d9 3d f2 60 03 8c d3 33 ea ee 92 +35 9f db bf 84 62 3b 7b 55 14 23 5b 83 06 27 2f +4e fd 13 a6 70 0b e9 28 9a d5 4e 57 d5 2d 1f eb +b4 6a 37 af d6 95 94 2c 4c bc fd 37 68 f2 82 1e +88 8e fa 0e 2c 5f d3 c9 c4 2c c3 55 50 d7 95 5c +db d3 5c 8e f8 58 1b 41 f8 dd ab 26 18 26 2e 3d +ff + +# PKCS#1 v1.5 Signature Example 10.19 + +# ----------------- + +# Message to be signed: +06 7d 4b ec b0 3e 1e b2 75 ae 22 50 7a 77 a5 39 +6e 71 9b 5f 00 b1 05 95 0b c7 99 8e 08 03 da 57 +a4 de 08 a4 07 8b 9a 00 d2 d4 6f + +# Signature: +09 10 8d 44 57 5f 61 4a 68 3e e4 d7 8b ce 1c 58 +f5 24 36 87 cb e9 c5 48 34 60 b6 5d f2 36 92 7d +bc 78 c0 64 39 ce 1c 7c 51 97 39 c8 f8 95 00 82 +d9 56 d6 0f c3 64 5b a7 af 8e 78 89 54 70 63 1b +b4 da 00 c0 1b 98 2c c1 1c 68 d2 65 0c 7c ae a4 +a2 6e 21 0f f4 b1 ca e1 db 50 5f ce a9 29 34 87 +b2 07 31 78 ca 24 5c f0 ca 23 56 ba f8 65 54 6b +54 af 95 35 ba b1 8d b6 79 ef 56 27 09 29 79 c0 +a8 + +# PKCS#1 v1.5 Signature Example 10.20 + +# ----------------- + +# Message to be signed: +88 4f c5 02 c8 82 48 49 47 8b 2e ac 1e 7e bb b7 +ca f2 8e eb 48 89 45 86 02 ec 70 35 81 d0 5e f9 +b1 a4 22 0b d2 f9 22 f2 5e 46 4c 88 07 01 c8 a4 +5b 1d 1f ab c8 66 2e b2 49 40 04 26 c2 22 62 38 +eb 8a d0 f9 06 9c 90 f0 01 82 77 44 80 25 a6 41 +80 ed 55 d1 af d2 7a ff 4f 00 70 2f 71 5d 29 10 +00 0d f3 92 5c 70 10 ff 11 7f 6d 8d 2a 81 67 09 +48 9e fd 29 a4 5c 59 23 17 7b f9 2c d0 bf 6b 94 +74 5d 34 8a 14 4e 98 74 0f 72 22 6a 3e 2a 9d 41 +7b 7c 1f d8 f8 95 f5 15 c5 c6 d4 06 a7 2b dc cd +39 15 2c 30 fd bd da 0e 62 82 3e e9 df ab 34 32 +e6 64 2e ec b6 98 7b 90 46 e0 40 a4 78 a4 df 64 +8d ef b3 01 6a a4 43 d0 67 a1 fa 41 55 55 53 74 +f8 ba 32 5a 8b 55 e4 d6 b5 fa 09 0e eb ae c9 c9 +2e 26 1c c0 4c ea a4 8b 3b ed 7b 3f 87 d3 + +# Signature: +0b 41 b4 12 19 71 26 15 9e 9b da 1a 24 62 c8 a4 +fd 3d ff dc 6e 98 e4 db fc 06 cf cc f1 6f 74 fc +b5 23 38 af 14 ed 39 36 e0 2c 1d 7e 77 23 6c c6 +a4 89 f0 0f 08 98 52 de 5c c4 25 b4 50 94 a0 42 +e3 85 46 4b 64 c3 b2 ff d0 1f 19 a0 1c 2c 03 81 +f7 58 a6 73 65 d1 e6 5a 70 7b 13 4e 3f 8a 93 16 +b4 aa cb 7e 85 1a 5e ab 3c d8 11 bd 45 22 dd 14 +1a 00 15 7d c3 fc af c4 15 4c af 05 93 ca 62 10 +2e + +# ============================================= + +# Example 11: A 1029-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +1e d7 ee a9 40 5f 50 7f 94 16 23 a1 7b ea 71 7b +86 0d e4 4c b7 76 87 b8 b8 5a 6d 7d 1e f4 f8 62 +8d 25 7c b9 42 38 c6 25 ba 25 d4 6a ae 59 39 60 +af 79 f7 5e 28 ab 63 ac 3c ac 48 20 b8 2d a1 cf +75 0d 6c 93 0d 6b 82 78 54 aa f6 ca c0 c1 7b 80 +b0 29 f5 d3 19 cc ca 66 5c 56 94 f5 4b a5 f0 96 +f4 54 34 13 ec 4c 5e 97 cc 1d da 89 d2 af d4 28 +57 87 59 03 2a df 92 89 50 65 ba af e8 8d 2d 8b +61 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +1e d7 ee a9 40 5f 50 7f 94 16 23 a1 7b ea 71 7b +86 0d e4 4c b7 76 87 b8 b8 5a 6d 7d 1e f4 f8 62 +8d 25 7c b9 42 38 c6 25 ba 25 d4 6a ae 59 39 60 +af 79 f7 5e 28 ab 63 ac 3c ac 48 20 b8 2d a1 cf +75 0d 6c 93 0d 6b 82 78 54 aa f6 ca c0 c1 7b 80 +b0 29 f5 d3 19 cc ca 66 5c 56 94 f5 4b a5 f0 96 +f4 54 34 13 ec 4c 5e 97 cc 1d da 89 d2 af d4 28 +57 87 59 03 2a df 92 89 50 65 ba af e8 8d 2d 8b +61 + +# Public exponent: +01 00 01 + +# Exponent: +0d 93 80 72 b1 6a 02 f5 d5 0a 15 ae eb eb 5a fe +43 18 74 48 2c 6d 18 fa 7e f3 16 c4 7f 4e d6 d2 +12 4c d0 e4 7e b8 9c c7 58 73 74 57 6c dc cb 3b +ba a1 95 f7 b5 31 13 93 69 b5 6f 9e 2f 53 ae a8 +ac 7a 97 e1 d7 45 8f 52 6c f7 d7 10 c4 90 2a ae +df 99 7c 11 94 b8 7b 62 cc d8 da b8 ff 5b 67 d4 +0f e8 3d e1 b8 2b 91 60 9a 7c 5c f3 92 29 eb 3a +1b 2f 0e bf 0b 12 5c b8 00 91 a0 7e bc 77 9c e7 +fd + +# Prime 1: +05 90 a1 e5 18 71 07 fa ef 1e 0c d5 2f a2 dc ad +a2 d5 8a bc c9 e0 73 8f f4 85 0f 7d 2d ee 19 82 +3f 6e 3e 2c a9 11 b7 17 4b e7 0b 15 c1 b8 87 e0 +ae 15 10 21 22 42 2f a1 58 b9 8b 0d 38 21 15 24 +5f + +# Prime 2: +05 8a dd 02 9b c9 7e cf d1 d0 db 26 be 45 ee 8d +3e 54 bf e6 36 fc 4d a6 66 dc f2 50 ab 2c 2e 96 +56 62 16 b8 a5 17 f1 0f 75 b9 8f de 6c cd 8a 58 +e8 fc 58 2e 78 74 90 e1 95 8f 7a 0f da 82 ad 68 +3f + +# Prime exponent 1: +01 80 ee fd a3 f9 06 9a fa f9 37 a6 72 d4 a2 a4 +18 17 73 01 47 da e9 de bf c7 24 44 42 a0 cf 2b +ae 4f ef 64 c9 da 0b 8a b3 eb 9d c7 27 2c e1 2a +08 5f 90 98 23 55 96 e1 15 c4 2c 9a 49 cc 46 96 +29 + +# Prime exponent 2: +05 12 e1 4e 11 05 7d 84 8c 23 f1 6b 5f 46 2f a2 +b7 8b e7 fc bd 1b 6d 8e 46 9e 3f 69 9f b9 9b 90 +5e d5 fe cc db bd b6 1d 1b fd 5a 7a 19 0a 74 7a +fe 16 7c 37 56 68 07 75 ab 6f a4 23 3d 3a e1 ba +0b + +# Coefficient: +26 2e 28 23 16 98 be 32 87 a9 c7 06 f3 94 7b 7d +5c 2f 5f d2 b9 14 46 f5 e9 a3 15 44 d9 af f4 55 +a3 ec c6 b5 43 14 82 0c 2a 48 82 61 d9 f9 8d 34 +8d 9c 3d 10 02 e4 e8 28 7a 15 2c 12 87 09 65 60 + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 11.1 + +# ----------------- + +# Message to be signed: +84 55 19 dd 45 d2 dd cb c8 db e0 b8 29 54 c4 58 +c3 66 4d 88 27 4e 50 2d 27 91 46 b1 8f 6a 81 67 +50 e9 4b 4e cd ee 68 32 cb 35 df cb db dd 3e 5d +c0 64 04 d5 f0 c7 0e 7c 7c d0 e1 9f 38 bc 5a e3 +2c 7c d9 1f 94 d8 f5 67 82 39 7b c7 4e 6b 06 98 +27 ec 27 30 17 37 40 ce 4a 10 e6 48 c7 88 97 af +1a 89 e8 33 31 d0 f4 61 37 8d 06 05 28 73 f1 7d +9f fc e4 6a 32 47 26 07 fe 73 e4 a5 61 87 9e 61 +9e 7c 1a e8 14 e4 5e 1d 2b db 12 19 46 b2 ae b8 +56 39 16 c5 43 eb fd c2 c0 90 fe b5 56 65 00 a8 +ce 74 af a4 53 72 bd e0 c6 67 3a 7f 6a cc b0 ee +9d 57 bd e9 3c 36 dd c5 7b 84 90 aa 2d 68 58 5a +3d b7 29 7a da 6d 9b 3f 35 6d bc 74 d3 15 c5 fa +1a bf 7d e6 ce bc a8 3c 9d f7 + +# Signature: +08 63 a6 26 dc 42 ba f3 e1 61 c3 5b 3d e3 b1 ab +c1 aa 5a df 54 16 46 5d 4c 7b 6b 01 ae 2d ad 73 +f9 f1 58 eb 21 3d bc 36 0b e4 d4 7e 57 07 87 1c +39 c3 8d bb c9 6b 46 c8 f9 af eb d3 dd ac 87 16 +90 98 e1 a7 67 18 d3 54 cd 09 1c a3 52 96 a7 7c +21 d2 51 2f fe 65 e3 b7 1b 90 22 e9 cd 1f 7c 35 +ce 13 65 fd 1f 2c 2c b9 67 ff 4c 8f 90 f0 c8 ea +ef 0d b7 3f ed 00 e9 8c fc 83 f8 0c 67 b3 be 1d +33 + +# PKCS#1 v1.5 Signature Example 11.2 + +# ----------------- + +# Message to be signed: +86 8e 7c 4f c6 34 0b 6b be b7 b8 6e a8 9e e7 26 +5f 32 31 f4 8b aa 92 e4 a2 e8 ce 0f a1 c1 a8 c0 +fb 0a ca 94 4c 74 bc cd + +# Signature: +10 cb f8 71 7f 76 27 8f cc 8f c0 aa b4 6e 90 a3 +d1 80 c3 c9 2a 4a 83 eb 93 c8 92 0a f8 8b d6 50 +6b 40 73 45 3f 0b ef f3 e6 1e db b4 db c9 c9 47 +c6 9d eb 69 a1 ac 92 9e fc 15 62 5b 9e d7 cf 1b +c4 23 a8 87 5f 37 80 dd da 9e b2 fc cd 9f a0 14 +62 6a 7f cf 99 86 49 bc fa 59 53 a3 c4 3e fb cc +38 70 4d 02 49 19 df 2f c4 ad ea 39 e3 4c d1 5c +d4 f8 6a d3 f5 01 01 2f 6b d2 8a a5 00 2c 3b 41 +ba + +# PKCS#1 v1.5 Signature Example 11.3 + +# ----------------- + +# Message to be signed: +92 cf 88 0d a5 89 15 e3 aa 95 08 93 53 e4 61 84 +c9 15 94 5c 57 67 9c 1e 4b d3 82 5e d9 19 a3 20 +52 e9 78 6e 23 b9 42 53 9b 93 15 f5 81 da f0 b4 +1f a3 26 1b 96 7d e4 0c d5 d9 2a 48 24 f3 64 bd +1e 1f 51 84 4b 10 9b 14 54 13 4a df 23 4e + +# Signature: +08 82 89 66 ac 58 36 c5 13 da 4f fb 87 61 87 97 +94 3c 61 2e de 7e 12 b3 10 03 ef 17 10 65 b4 ce +dc 6a 80 b1 45 6c 21 b6 74 b3 77 9a d3 5f 70 17 +7a a9 2c 6e ac 0b 83 3a 96 7d 7e 98 99 0b 48 24 +42 05 db f2 6f 5c d5 7e f8 7d c6 fe 5e d9 99 cf +8c a7 5d c8 e6 26 fd 6e b2 81 c4 99 af f7 29 89 +ed f5 2e c6 f3 bc af 81 ec 5f 8e 82 30 b8 7e de +dc f7 b7 78 14 3e d6 c8 ce bb ac 9d e5 41 09 dc +f7 + +# PKCS#1 v1.5 Signature Example 11.4 + +# ----------------- + +# Message to be signed: +87 3c 47 15 90 2f f1 9d e0 8b cc b0 cf 26 37 63 +fa b0 16 d0 22 0f 03 27 b4 75 5e 35 4e b2 47 f5 +db c2 d3 96 98 9b bd 36 d3 1f 61 98 93 90 ca c1 +66 43 12 5e 63 e1 a1 ae 1f 1b c9 bb ed ac ce 67 +fc 1b 51 a7 + +# Signature: +05 25 9c 48 15 93 ea 86 d1 f0 02 ca 58 aa ee 93 +29 fa fe 21 8f 67 50 f0 e5 88 f3 3b 64 e7 08 fb +27 a6 fe 81 eb ca 8a da ec 75 7a 14 ff 55 a0 c8 +8a da 2c 3b 43 e3 9e 8d fb e6 76 89 43 65 a2 21 +0c 2a a8 1f 42 4d 85 29 c2 07 6b 00 c9 2d d8 c8 +ae 3b 78 0d 87 db a7 29 dd fd ef 7d 40 7f 85 4a +71 cb 68 8b 9f 03 c7 1f 3b aa 24 a2 a6 e1 cb 41 +07 74 30 9e 40 c1 3c 2b 26 47 38 e5 69 7c fd de +f3 + +# PKCS#1 v1.5 Signature Example 11.5 + +# ----------------- + +# Message to be signed: +14 b2 76 02 ec e8 f0 67 b5 84 83 af 17 77 c4 ed +10 b8 b6 4e 64 c6 9f 57 ef 88 9a 1c a5 d5 b5 d6 +51 c6 08 db 23 9d ee a1 50 ff 12 cf 50 c8 67 96 +12 f9 7e cb 09 f7 + +# Signature: +15 c4 b3 f0 81 a2 e5 8a f5 94 e4 2f d6 ac cf 1d +0d 61 d9 3a 5e 3a 84 cf 90 4b 98 d9 ad 71 33 61 +b7 84 b2 4d 92 95 e4 3c 23 be 93 ef 36 51 4a 9b +ac 2c 1b df 4e e7 32 34 36 76 3a 20 66 2f 2d b3 +41 d9 e3 8b ed 5f 12 c7 dd 18 bc 3b b0 fc ba 5c +00 50 bd 1a 2a 44 03 71 97 b8 c9 fc 2a a5 99 eb +43 c3 d9 67 92 42 c9 9b bc 49 b0 3b 98 ea ca 83 +46 28 72 59 e6 ea 2e 89 15 5d 0d d2 b4 77 80 35 +75 + +# PKCS#1 v1.5 Signature Example 11.6 + +# ----------------- + +# Message to be signed: +e5 66 e5 fa 55 6c 76 5b 62 bd 6e 37 45 21 f5 08 +fe 44 66 68 c6 47 4b ef 04 6c c6 89 4a 87 32 2e +19 31 e8 0d 9e d9 ea 80 6b 16 7a 3a f7 7f c0 49 +38 b5 54 8e fb c0 68 d4 f1 96 6a 99 76 25 af 31 +a4 00 7f 06 98 a8 46 9a b6 81 f4 d5 08 b4 a4 8c +8f e7 20 cb 5a 94 a7 f4 43 dd 5a 58 03 04 97 da +a9 59 a3 aa f6 e3 41 84 39 7a + +# Signature: +07 e7 c9 44 26 24 bd 26 6c c1 cd 1a f3 b8 f0 62 +94 dd a1 c0 77 67 fe 19 bc ed 6c 9e d7 c4 b1 ed +7f 26 e2 03 db 7f 3a 1b fa 57 da ba 6f 3a a0 60 +03 bc dc 1e 00 c2 d3 d7 6b 9c bf f9 68 49 b1 af +f5 42 d0 d7 af c6 e4 22 49 2e ab 0a b7 f8 e1 d1 +ae 0b 27 9b 85 19 45 b7 65 85 1b 9f 8a d8 80 dd +16 4c 11 ac 4a 57 f9 6a 0e 48 4b a1 6a bf 1c be +8a ac 09 0a db 6a 71 79 7e 13 35 ee fe 2a c9 98 +0d + +# PKCS#1 v1.5 Signature Example 11.7 + +# ----------------- + +# Message to be signed: +b4 43 c3 43 52 7b 30 d5 ff + +# Signature: +0b 3f 13 c2 72 24 d1 61 01 b9 c8 20 1f 1b 4f 85 +37 db 3c 11 6f 3c e1 30 be 0d e0 dc 0d d2 0f 77 +3c df 7b 7f 37 23 87 c4 b6 53 e5 dd 44 21 84 45 +74 11 a8 2f 8e d0 03 66 ec c0 77 a4 26 7c 9d 7e +56 54 96 63 23 9b 43 19 fe 49 9a a7 89 54 04 9c +74 3b bf 09 d7 7b 30 29 d9 18 bb 7b 9a 6a e8 0b +12 9e 41 bb 56 da d2 b8 a4 b6 f3 19 33 74 c8 29 +2f e0 17 d0 63 34 7e 91 cb f4 dd 39 39 c2 37 f8 +3c + +# PKCS#1 v1.5 Signature Example 11.8 + +# ----------------- + +# Message to be signed: +db 90 04 7f 61 5a d7 19 72 ba ed 0c 10 62 6e c8 +cb 18 c6 d7 5e aa e0 58 21 9f d6 19 54 26 d4 4d +5c 54 3b ef 3c 4c 14 98 e8 77 d7 c8 53 e5 31 21 +eb 31 57 00 81 d5 de 48 85 cb c9 25 a6 c2 23 21 +cc c9 c3 78 4e b2 19 e4 2b 7e db 92 88 77 60 73 +29 79 8d 55 73 9c 89 d6 d6 b3 f0 d4 30 bb bc 47 +22 ea fa 67 de fc 86 ab a6 e6 34 83 fd 64 99 b0 +3f ab dc 84 65 d9 8b bb e4 40 2b 02 31 13 5c 21 +24 3d 7e 02 ad 5f 7e 9e 8b 94 60 c1 2d de 2a 39 +5b 45 69 61 cc 3d fd 9a 12 f5 d9 35 9e 0b 3a 6b +d7 7f 44 65 5b 60 3b 02 55 db ba ff 8b c8 40 75 +9a 34 62 fe ce 0d 8d b6 e4 5e 2f e2 bb f8 b6 e9 +7b 3f ea c0 79 86 73 82 57 ab 9f 8c fa 79 5a 20 +19 2b 5e 2c ea 11 8c a7 62 25 2a f6 c6 eb 00 ec +5c 68 20 bc c7 c7 + +# Signature: +00 aa b0 67 d3 a8 63 3d 0b eb d5 91 ed 34 d0 67 +f4 71 8c d7 f9 b1 e3 5a aa 40 5d a1 22 2a b9 40 +38 66 92 1f bd 05 74 33 40 7a 4a ae 7e 26 c5 cf +a0 bc 9c 11 57 05 7b 1d a1 cf 36 28 51 87 19 a6 +03 f6 c3 c4 de a3 0b f4 9d b9 b0 68 af ec 69 81 +21 dc e5 d6 0d 93 a6 f5 63 3f c6 af 9d f4 c5 dc +cc 13 8c 29 4e dd 42 9d 4a fe 3b 33 78 86 82 55 +cc 53 78 8c f2 b4 77 45 d6 4a cd 88 5b b4 7d 2e +ec + +# PKCS#1 v1.5 Signature Example 11.9 + +# ----------------- + +# Message to be signed: +2b e0 06 7b 95 18 5b ad e1 18 dc e9 5c 57 02 9b +55 4b 25 e1 c3 95 19 f8 f8 90 73 b9 a0 4b 7e 91 +29 9c db 87 b0 bd 17 c9 f1 51 92 5c 75 6e b9 b6 +45 07 25 61 26 41 07 88 21 38 85 4a e7 d5 07 e1 +5f cf e8 47 09 45 40 e7 1a 54 7f 63 b5 90 46 7f +ad ff 64 7f 64 3e 1c ec 11 24 65 29 06 2c 9e 40 +88 92 f2 a2 0c cc c0 ae 45 ca 97 a4 7f ca dc 8f +ed e2 1a 24 71 11 67 70 6c c4 b5 d6 94 77 e5 a8 +a1 46 b9 60 cd 4b 17 27 42 7b 16 51 7b 63 eb fb +cf 84 d0 b1 ac 8e 7e 70 f0 44 35 75 22 b1 d0 cb + +# Signature: +09 76 81 12 17 71 45 44 41 01 33 24 3b eb a9 a2 +1a 6f 72 12 c6 87 91 5c 72 02 7b ba 31 12 f6 97 +05 42 5c b9 94 cb b6 d3 59 c1 46 b9 5d b1 44 64 +35 d4 cf 96 1d fd 5c 49 87 39 bf d4 be 6e f1 ad +d7 4b 81 b2 89 8a 4c e4 3d c3 7c b0 e9 ed 77 44 +cf 40 9b ab ff 71 78 85 42 ff d2 86 eb e5 25 5d +63 dd 7b d5 5b a4 3f 51 84 e2 48 d3 a6 69 33 cd +b0 69 91 ec c9 0e b3 9e e7 1d 65 c8 8e d2 4d 94 +4c + +# PKCS#1 v1.5 Signature Example 11.10 + +# ----------------- + +# Message to be signed: +a7 90 e6 ac 5d 55 6f b7 cf 44 46 0c 7b 9b e5 eb +7f 24 f9 87 ff 89 0d cb 78 40 24 1d 45 54 5b 71 +05 63 5a 1a af 44 57 e6 41 0c 65 ae ce 50 11 e2 +77 5e c8 53 0a 64 a1 88 39 e9 c5 8a 7b 77 42 4f +74 29 3d cb 9e 9e a8 73 6d 6b a5 8b 1c 66 53 d5 +7b ea ab 98 73 5f 7a f7 32 47 7b 9a f6 a3 3f f0 +75 c7 e4 66 39 d7 48 55 08 20 ba 6a bd 4a 9d 48 +cb 49 03 f6 5b 76 f8 14 c6 cd c9 5e 8d 9e 87 0c +24 4a 02 9b 29 4a 8a 5c 82 6a b1 61 f6 f9 78 d9 +f1 c0 3f cd da ae fb fa db 8c aa e8 4b c2 dd 33 +2e b0 49 97 d6 1e fa 91 e9 24 1e 4c cd 97 64 c7 +26 e7 66 ed 3b 03 38 d0 86 f1 03 2c 15 33 ef 59 +3f 88 fd 56 03 37 91 b1 d0 62 5c 6c a5 1e ec 27 +9c fb 6a e3 f1 27 00 cf 5b ac 27 1e 65 67 + +# Signature: +0d 1b 11 1c e8 de 1d 7c 4f 7f ce ac 73 df 70 aa +6e da 58 dc 32 eb 98 f7 8e 7f b9 bc 25 de 3e 6b +09 ab 8c ae 3b 20 26 b6 18 7f f6 36 72 e5 7d a4 +ac 28 96 24 45 d1 fe 95 1d 27 be 6a 6c e7 a5 80 +7e 13 76 13 94 46 e8 54 9d 48 aa 59 fc 22 33 54 +d1 21 fd cc 38 f1 d0 27 5e 41 86 92 27 00 ad c6 +1d ae 1e 4b e8 05 22 2a 1c f0 7f 11 0a 61 58 a2 +a2 62 58 f1 9c 65 7a 11 0c 0d 9a d2 91 68 0c 75 +96 + +# PKCS#1 v1.5 Signature Example 11.11 + +# ----------------- + +# Message to be signed: +32 af d1 3e 60 7d 87 b2 5f f4 0a 88 5b 25 09 f5 +21 f2 a0 a7 72 a9 6a 39 fb 3f 71 c9 63 84 b3 d7 +57 8f 48 fc ea 97 39 56 0a 65 bf b4 83 d9 60 8d +20 25 55 f6 6d 61 2d 16 b9 25 53 87 b4 e1 12 41 +15 ed 48 bf ef 8b 89 d8 dd fc 21 9c cc e4 87 86 +c9 e6 42 6a 92 12 e7 b1 6d 97 1d 27 8a 11 18 f2 +f8 6b 9c 4b bf 75 c9 c2 d0 99 e3 f6 65 48 f1 f4 +a8 a8 21 d7 27 44 98 f7 cc e6 ec 5e 2b f2 bf ad +2c 6f c0 05 e8 0a 48 ca e4 69 92 fc 82 67 a6 48 +0a cb 89 4c cc 9b 62 09 5c ad 97 db 70 d8 82 a1 +3f b3 85 88 c4 8c a1 90 f1 80 cb 3e 61 ac b4 e2 +cf d9 cd bf 85 5c 53 99 21 f6 8e 11 49 d0 54 7e +f5 9a f5 37 92 dc 66 0d a5 ef 48 a7 ab 89 36 d3 +d3 6e d6 b6 46 9e b6 fd 95 e3 af 18 2c 87 68 fa +60 04 78 54 f1 8f 37 41 c1 88 3b b0 79 26 88 ca +db 9e 4d f3 91 d9 11 45 b8 5e 2a e2 4f fd fe 51 + +# Signature: +01 a9 37 b3 cc 82 54 d5 15 08 70 9e 4a 4d e7 b1 +81 de d9 a4 47 b3 ec 8d ad 49 2c 39 79 52 df 7c +55 0e 4b 26 c9 50 17 29 9d 8d 45 5f f7 97 1c 33 +8c d0 14 df 78 e2 a8 aa 5e be e2 58 f4 92 53 d5 +1a ce 9a 49 31 9f fc 80 7a d7 0b 2d f2 c9 6d cd +b7 3b 48 ac bc 4f 6c 3c 2a 70 1e 7c 15 4b 27 9b +07 05 bd f2 54 8c 8b 36 11 b9 7d a1 ac 09 cd 12 +12 50 99 54 0b f7 ba 99 b0 8c 2f 3d 5f 6a ea 7d +40 + +# PKCS#1 v1.5 Signature Example 11.12 + +# ----------------- + +# Message to be signed: +5b 00 b8 b7 94 a1 0d 21 f1 b4 5e ca a2 0d f7 c5 +b3 52 2c 1b 1d b4 b0 84 b9 59 aa 4e 56 58 ac 54 +68 f6 e8 fb 61 2f f9 9f 32 16 b5 d2 1c b4 ac c0 +bb 42 ee fd b8 e8 2d 75 4b 85 d0 97 45 89 4a 52 +3c 01 62 d0 8e cc e4 8b 99 dd 6c 38 e2 bd 3d 53 +1c 85 62 de ec fc 61 52 36 9a ac f5 80 ea f9 db +6c 68 b6 9d f2 fb f3 05 3f 60 1f 70 02 2c 9e 38 +1d fb c5 90 99 c3 7b de 5a d8 9a 8c c1 ef e4 c7 +b7 d7 8e 90 97 e0 81 21 ed a6 4a c4 5c 32 7e 5e +da f9 22 d3 c3 5f 88 b5 2c 93 d3 99 f4 c2 38 36 +2f e9 + +# Signature: +0f c6 ac 1d 42 94 79 38 cd 25 86 d0 e7 fc 3a 05 +42 b9 af 12 d3 6e eb f9 2b 5d 04 9c 79 65 b1 1b +a9 cc bf 47 00 f3 45 60 91 11 77 b9 d1 29 6f 1c +68 e3 af 46 9f 4f 39 9d bc 18 9c 23 ea 74 65 98 +28 13 32 33 05 ed 6c 35 ff 9c c1 09 d0 a2 30 3f +e7 d3 29 ca 31 7e c4 b1 8e dd 19 c6 2c 60 a3 c8 +c3 10 6f 86 db d0 72 e3 e1 eb 87 85 28 8c 21 ab +ca c2 2e 0c 0d 41 f4 e2 3e 7f 39 4d 46 82 f6 ce +87 + +# PKCS#1 v1.5 Signature Example 11.13 + +# ----------------- + +# Message to be signed: +b7 50 ae 6d 4d 2c eb 92 14 05 34 64 8d 36 ef 25 +e4 51 55 f5 2b de 1b f2 6a b7 + +# Signature: +16 aa de dc a0 9e 06 25 60 c6 61 d2 a4 9b 0e e4 +d9 ce 23 90 7c 69 d1 00 04 f1 49 d1 03 c5 9c 16 +fe 7d 43 73 59 7d b9 ff d8 92 3a 77 a6 b9 43 b1 +88 c4 74 25 e2 a9 e5 30 41 3e fd b6 84 8d d3 42 +0b a5 3e f8 1c 25 c5 78 f8 d9 51 4d 93 fc c9 cb +1f b5 2f 58 d8 8a 57 d1 fd 3f e2 2d a3 10 ec ea +9e ce 55 e9 60 8d 63 ae 21 db ae a6 57 1b 78 fc +fd d2 71 bb 65 92 57 47 6b 59 95 68 7a 02 bb e7 +89 + +# PKCS#1 v1.5 Signature Example 11.14 + +# ----------------- + +# Message to be signed: +47 be 01 02 0e b7 e7 87 5b d4 fc c0 05 a8 2b 36 +fd f2 14 5e f1 32 e2 ed 16 2f f6 94 bc 71 58 9c +7d c6 d5 a3 f8 9d 59 7f 2d 2a a3 43 33 51 18 f6 +fd bd ee f2 3e 61 3c ba cc de 41 95 e6 64 a0 09 +4b 07 fc 0a 32 84 8d 61 39 03 1c f5 72 a1 e3 23 +c5 a7 07 b6 fa 2a ee f2 dc 87 2d d5 a3 e7 6b 13 +f8 ef 94 ad eb d4 e2 05 74 8e 48 5b 40 01 d5 d2 +a0 90 b8 9b 2e 64 74 c4 79 e7 b0 0d 2d 57 f5 86 +ab 76 b8 0f 79 5b a8 99 62 88 29 2c 3f 2c a5 1a +44 e4 e8 41 c0 37 07 e4 80 25 af 4b fd 0a b6 ef +eb 83 62 ed d5 d2 34 05 ba 0e 23 1b 33 24 e1 ca +3c 5d 63 9d 2c 9d 82 + +# Signature: +06 39 17 92 9b bb 20 92 17 ff 48 ed 4f 55 d0 7a +03 f7 6d 6d 94 04 8b 6f 71 31 0b 2c 96 e2 14 ab +22 0d 4e 45 ac 01 c9 3d cc 8a 5c 26 a0 2d f6 1f +fd b3 17 54 96 65 61 0c 84 bd b8 94 5f c6 bb d3 +8b ae d7 fe e9 8e b0 56 d9 f0 39 a8 60 d4 52 b3 +ac ac 18 00 a9 32 a2 8c 88 28 6a bd a8 de 3c b6 +c0 d7 94 da ab 7a 8b a0 11 09 33 b4 d1 de d2 39 +cb dd 55 7d 3e 5a 16 29 17 85 33 15 de 68 09 00 +a8 + +# PKCS#1 v1.5 Signature Example 11.15 + +# ----------------- + +# Message to be signed: +4b 9c 09 64 48 10 d4 b3 06 55 ed 83 38 bb 27 6b +62 4c 68 01 98 22 d1 fc 8f 78 86 1e 13 e2 2a c1 +71 82 1c fd bd 3f 8f 5b 8d c9 c0 de 73 2b 74 6e +1d 13 2e 5f 3f 14 9a 5a 86 7c 2e e4 78 e8 f1 4a +d4 b9 dd eb d3 ae 78 17 e8 49 55 b3 40 4b 09 43 +93 e6 1c a0 18 9d 05 53 69 b4 24 30 09 a0 f5 40 +3f 41 c1 00 23 08 c0 0c e6 99 67 19 37 ba f1 3c +78 93 d6 63 c9 47 fc 7f 84 07 1a 67 2e 5e 07 37 +8a ac 08 b3 fa f0 fc cf 5b f2 83 09 25 85 eb e2 +40 a3 00 46 20 b6 f3 ae b6 73 2b 7b 9d 8d 3b ea +fc 84 67 d1 f1 f1 c7 da 66 b1 bf 5c cc 14 5b 32 +24 24 5f ae 31 df b4 03 f4 93 c0 75 53 57 ad d7 +cb 27 63 71 32 26 c5 4f 43 64 0f 7a 67 0e b7 b1 +f6 e9 e7 72 f2 e5 14 17 a7 05 cf c5 87 3f fb 88 +a5 db 07 ec c4 ee 89 f3 30 a6 69 0a 88 12 + +# Signature: +1a 0b 69 8c f3 a0 58 b4 49 19 af 73 c3 de 32 8e +86 ce 9a 5d 49 99 e0 12 2f 41 4b 94 f3 2b 2d 8a +b1 e6 55 0c c0 d4 8d c0 4b ef ac 2c 67 a4 d0 69 +a7 20 8f 14 2d c2 67 b3 e3 8f 63 38 a0 b1 83 9a +93 a8 36 80 7d 18 1e 3f 0c 7e 87 7f b2 42 16 02 +00 5b ca 25 a9 c3 72 26 6d 18 e6 d5 00 c5 c7 ab +13 38 52 83 d2 af 91 9d 0b ba 0d cb 88 bf 7b b9 +97 2d 67 00 8f f4 98 54 7d 80 fc a6 58 ef e7 64 +a5 + +# PKCS#1 v1.5 Signature Example 11.16 + +# ----------------- + +# Message to be signed: +ec 9f f1 4b 9f 19 7a 2b 4f 24 94 8c 29 d2 f6 4a +64 62 52 23 dd b8 53 46 37 8c 2c 25 34 3f cb ef +58 5a 99 e1 ec 0b ef 0e f9 d0 9e ad 85 be e1 c4 +bf b3 5e 48 fb 26 41 1b df 18 0d c5 cf 31 7b 3a +34 83 71 c7 c5 f4 aa 6d 59 08 fc fc 1e a3 90 18 +cf 04 49 e5 5f 4e f9 94 bf da 40 4f 1c 18 9f db +8a 0a 5b 09 06 c3 d4 0d e1 e7 87 c2 db 4d 88 db +c2 10 b9 f8 01 f4 cd 9c 97 22 7e 9b 2f bc 28 11 +e3 8c ed d9 e9 f0 35 60 03 1d 4c 95 8a 76 81 ba +9d 7e a5 e7 8e 9b d8 bd ed db 41 56 79 0e f2 1f +b7 4f bc 41 58 c2 93 9e 4e fc b8 2e fd c8 81 88 +6a 5b 67 13 a2 4b 9b 5f 2e e2 5c cf 72 1a 64 e0 +f6 40 77 8e cb 3d 35 b4 b8 ee a8 ec e3 12 32 63 +63 10 ae 3c c6 b8 2b 8a + +# Signature: +01 3b 42 05 78 20 c7 3e 3a cf c1 df 4d e1 44 0c +65 8e 01 80 43 6d a7 18 5a 9f ab d2 6e b3 26 74 +b5 54 de 35 4d 1f 4f 24 e8 77 73 26 7f ed 9d d0 +fd 82 93 ea ca 4a f3 d3 a9 dc 51 8c 8e 49 5a 14 +76 95 11 1d 3d c1 77 63 f1 f0 2e ec 1e e2 9f b1 +ab 74 9c f3 0c 78 86 da 8b 2f 64 69 69 59 8a a7 +0f 9a 92 fa 4f 93 5c 7c c7 7b fa b6 98 1f 0d f0 +d2 85 cf b1 0d 66 58 15 39 f7 8d 03 68 ed 4f 93 +01 + +# PKCS#1 v1.5 Signature Example 11.17 + +# ----------------- + +# Message to be signed: +41 4c ea 8e ec 6d a3 c6 6f fc 84 70 f7 e1 47 60 +f7 4b f6 e7 5b 84 dc 98 fc 80 60 dd 3c 21 9e 76 +77 7d fa ba a6 e6 b9 29 55 37 9f 3e ca af 5f cb +8a a5 54 9e c9 cd d1 f5 d5 77 20 1b 8e 32 9f 72 +fa a2 bc ad ea ee 38 8d af 7d 40 8a fd e6 55 3d +24 17 86 0f 3c 8e 25 30 5d ff 76 db bd 95 16 b6 +86 8e e4 56 fc 1f 7b 58 d9 ed 18 a4 6e 4f c1 e3 +53 e8 d0 76 be a3 0b f2 47 c6 0e 6f 68 58 01 a6 +d3 f6 30 ae a6 ab b4 12 a9 41 ff a6 f6 07 f6 bf +b1 3d 90 01 27 bb ec ee 4f 98 a7 ac a6 92 08 11 +57 50 53 ab 2d 42 70 13 80 1d 8c fb c3 88 0f 14 +75 43 15 55 a0 86 fa 55 60 c6 e2 20 6d 9e e9 38 +13 44 b8 24 1c 1d d1 d8 64 48 75 3a f4 4b 00 a0 +c9 + +# Signature: +16 97 bb 23 e2 91 52 5f 4a 0e 79 26 2f 34 06 63 +0d 0d 6d f3 32 49 69 26 c4 e5 ae f9 6e 41 d9 55 +14 86 47 ea f7 90 69 6a f6 8c 78 eb 2a b6 2f f7 +19 62 96 e1 ea 88 6d f0 91 73 66 09 0b 63 0a a3 +18 58 b5 16 15 87 3f a6 bc 8f f0 88 5c 57 b2 e7 +7a 04 90 88 93 cc ef b1 41 24 03 99 1d 0d 23 c5 +57 d2 22 29 1c b8 51 7b 43 28 6e e0 05 67 58 d9 +c1 0b cd 69 bd 68 b8 4a 2d 1f 53 79 05 b8 a4 65 +e9 + +# PKCS#1 v1.5 Signature Example 11.18 + +# ----------------- + +# Message to be signed: +17 89 b8 08 b1 0d e8 d1 77 8a a4 3f 94 10 1c b8 +9f 56 34 30 61 a1 a9 43 bb 8d a5 5e e6 b9 79 e2 +7a fe ab 0e d8 ee 37 14 fb e7 0b 3b e8 20 60 3e +5c ea de c4 b2 2f 95 87 73 22 5d f3 aa d4 87 b2 +80 57 eb fe be 2c 87 93 da 38 46 bd b1 59 03 ac +71 e9 c9 3b 20 16 66 8b d9 06 30 1a 0a 7d 50 dc +60 b2 fa d8 75 9d 18 db 14 7f 20 66 86 5f d9 09 +50 a1 88 74 7d 9b 69 68 53 48 6d ea ab 8e 44 3f +ad 29 92 fc 8a 56 5b dc ba da b0 b9 33 3a b7 fc +db 9c 3d 0b cf de 50 a5 8d 2a ea f1 ce fb 0c 95 +f9 07 73 b2 fa c1 37 cd bc + +# Signature: +02 f9 97 51 c8 44 38 ea c7 f9 96 32 50 d9 ee 22 +fd a7 29 7b 6e 86 e2 a8 bc c7 a9 b5 ac 01 f7 90 +e0 99 11 70 46 60 85 8e a5 c1 62 72 c3 81 33 fa +da de fa 23 c1 02 90 8e 41 9d e2 eb e9 ac 27 19 +45 72 87 8e 2a 97 1f 88 31 c8 f9 17 e8 52 e8 51 +df 99 d4 df 01 8f dd b2 ce a3 1a c3 a7 b6 89 75 +e8 0a 99 7c b7 dd 4d 4d f7 57 bb 8c 3e cd 91 0b +cb 06 03 35 52 12 7a c3 08 11 77 39 a0 2c 20 17 +17 + +# PKCS#1 v1.5 Signature Example 11.19 + +# ----------------- + +# Message to be signed: +ff 87 5c ca 0e fc 3d 90 f5 6e 31 f4 bb 66 84 14 +89 4d 09 de 90 12 7f 84 66 32 43 10 e1 13 69 a3 +f2 f6 49 3c 1c 78 a3 62 b2 a1 4f b5 48 8c b5 6c +e0 22 73 9e 43 aa 76 3d 9c 1c 97 b6 21 cc 53 68 +c9 c0 0e 81 60 67 92 69 5f 9a f9 ab 63 3e f2 39 +ea b3 44 9d da 9e 66 07 08 9c 37 51 90 35 4f 7a +59 a4 b3 ef 75 22 9d 1c 47 ec da e3 3b 27 69 ff +55 42 65 5e 78 10 22 d0 c4 3b 42 1a 99 84 3c 3d +e1 04 22 ad 2f d8 9d fe 44 66 15 f5 19 2e 75 79 +d4 37 43 79 bb ff b9 + +# Signature: +02 68 91 7f 8b da ac 9e be 32 b0 dc 6c d9 d3 9e +fd 3f 88 d8 17 d6 6c b6 39 0d 7b 55 c6 92 12 21 +84 4a b8 c0 89 86 d3 f2 ea 49 bc 6e 3a 10 02 08 +6c 0b 6d f1 63 f7 9d 16 11 6a 93 c4 a2 cc 04 22 +c9 48 41 e1 e3 b9 45 ab 1d 25 3a b8 d7 d1 39 c9 +18 8b a8 30 27 c5 93 f8 3a 6f 38 37 0e 7f 03 79 +ff dd f1 42 7d 6f cc cf 60 83 31 3f 18 15 b5 de +d6 73 74 30 bb 4a 70 ba 81 48 48 34 d8 d1 d2 9a +5e + +# PKCS#1 v1.5 Signature Example 11.20 + +# ----------------- + +# Message to be signed: +e0 7e cf 00 e2 40 1a c9 8b 2d 5a e0 c9 b8 3f 21 +9a b0 27 a6 51 99 fd b6 34 59 6e 23 44 62 41 38 +72 95 32 49 53 28 f9 3f b3 a3 32 55 27 8f 3e c2 +60 65 ce 54 99 5d 42 41 93 bc b7 58 1b fe 1a b8 +95 7d 0b 96 1c 30 30 b8 20 d0 9c 9e 32 6c c3 0c +0a f6 42 66 61 54 + +# Signature: +00 c4 6d b4 1b 65 dd c7 1f bb fc 12 5a 4f 9b ab +88 0a 2f 0c 1f 04 1c 41 1d f7 d4 5d 1e 19 99 7b +34 8e ab ba 19 bf 79 b2 21 77 b2 a0 d7 3f ef a5 +00 83 62 ce 59 60 d7 ef 58 a5 89 93 e7 46 03 d4 +d9 d0 b3 da d4 b2 0c 82 9d 36 ef ca f5 7f 0c 4f +0c ef 89 01 5a 48 45 02 42 bd 02 0d 5f 52 d8 b5 +0e a1 3e 56 a1 aa d6 01 91 5d 60 ec 9a bf c3 07 +f1 8a f2 06 72 38 4d cc 12 f9 82 27 31 36 99 71 +40 + +# ============================================= + +# Example 12: A 1030-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +36 98 1a 95 ae 24 18 14 52 da 25 7c 03 8f 05 82 +14 12 d8 4e b4 7a 43 fc c7 ef 12 17 95 9b a6 77 +02 7f 70 86 d3 a8 5c dd 34 9f 92 0f 03 4c 02 78 +79 2d c8 a8 cf 0c 00 80 e5 c6 1f 47 48 83 c6 87 +9f 4d ee 0a e9 52 47 8a 5e e2 ce 4e 39 18 64 1e +81 3c b3 74 f7 b2 83 2b cd 6a ea 80 9d 25 4f c2 +ca 9a c5 a3 32 42 4a b6 5c 2a 26 12 75 d1 9a 41 +4b 61 65 00 d5 e3 73 70 63 15 f0 63 dc 88 5d 7f +b9 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +36 98 1a 95 ae 24 18 14 52 da 25 7c 03 8f 05 82 +14 12 d8 4e b4 7a 43 fc c7 ef 12 17 95 9b a6 77 +02 7f 70 86 d3 a8 5c dd 34 9f 92 0f 03 4c 02 78 +79 2d c8 a8 cf 0c 00 80 e5 c6 1f 47 48 83 c6 87 +9f 4d ee 0a e9 52 47 8a 5e e2 ce 4e 39 18 64 1e +81 3c b3 74 f7 b2 83 2b cd 6a ea 80 9d 25 4f c2 +ca 9a c5 a3 32 42 4a b6 5c 2a 26 12 75 d1 9a 41 +4b 61 65 00 d5 e3 73 70 63 15 f0 63 dc 88 5d 7f +b9 + +# Public exponent: +01 00 01 + +# Exponent: +09 ad 03 17 30 b6 32 73 55 ac d6 94 68 70 0e 7e +9b ae ac 5a 24 a7 ff c9 3b 29 2e b8 71 da 54 92 +46 a5 ce 0c 83 52 55 65 1a 28 c6 e2 f4 c7 61 af +b6 f0 6b 9e 29 95 fb b7 dc a1 74 d5 36 2f ae bd +c3 9a 72 c5 79 5d 1f 33 92 ec 08 8b 5d c2 a7 85 +b2 c9 c4 c6 e6 69 e7 23 b5 dd 0c e4 43 25 55 12 +67 dd 62 e0 f7 8d 24 24 ad ae 48 e2 49 44 3a ef +4a 37 04 10 db 9e 70 93 99 ac 37 cc 48 1b 59 00 +c5 + +# Prime 1: +07 72 0f 21 cd db 92 27 45 b7 1c f8 11 6a 83 66 +9a 0d db 89 e8 f3 f0 6c 34 7c a7 87 cf 10 ef 16 +93 bd fe 3a 0c 36 4c 7a 7e 89 04 17 f2 af 49 47 +5c 7d 07 6f 9c ee aa e7 6d bd 4e 92 15 af 45 69 +4d + +# Prime 2: +07 55 1c 27 e9 aa f1 1f 47 4f 1c 9a 14 bf 14 4c +fa ef e2 7f ca 4f 20 79 5d ec 85 34 c9 37 bb 00 +fe 16 23 5e cd 69 1f d2 3e 32 cd fb 8b 78 66 6b +b7 82 84 ae 15 d5 9b e5 ca 74 73 e6 2d 46 a9 da +1d + +# Prime exponent 1: +02 e2 2c 74 16 0a 94 36 bb 6c 28 3e f6 57 be dd +ec 89 b3 5d 5c a7 a4 93 f3 5b d7 71 e4 42 95 a5 +b3 c0 20 06 11 16 b2 55 ba 4d 8c 15 4e 3a 8e 71 +a1 a3 16 4f 26 82 d4 13 5e cf b2 ef 26 90 c3 9b +fd + +# Prime exponent 2: +01 d2 bf f5 8c bc dc c8 12 4b 31 a9 7e 8f 24 d5 +1f 70 96 b9 7f ec bc fe 70 c4 67 3b 00 ed c2 aa +34 83 fc b7 8e 0c 1d c5 81 81 d0 86 43 df e4 57 +d4 81 b7 cc 31 d1 b3 ba 27 e5 5d 0c 57 25 c3 06 +61 + +# Coefficient: +06 d2 27 72 57 42 ef 03 46 2d 1c f6 12 67 4a 78 +83 1d 61 9d a3 d6 40 eb 7c 71 c8 7b 53 28 69 72 +73 c5 f7 51 e1 4d 7b 81 c1 2b 6d eb 44 75 1a 92 +95 cb 67 1e 81 48 4d ea a8 3b 4d f1 fd 37 e2 ff +3c + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 12.1 + +# ----------------- + +# Message to be signed: +e4 b2 d6 0e 3b dd 27 81 6f + +# Signature: +13 fd 4a c1 ac 68 48 17 37 80 96 5a ff 5e 61 c5 +96 89 2b c1 47 76 0d 43 07 9b 5d 71 77 e4 23 d4 +86 f5 a7 3e 1a 16 b3 ce 9b 5e da c1 61 ea 6d 4f +6c 23 fc fc 3e 62 19 ca c5 56 06 7f fa ed 4a da +c0 a9 50 05 09 0b 89 84 4c 54 35 4d b2 2a af f9 +ee ff 9d a5 aa a5 49 04 25 e1 35 cc 0f 64 58 4c +7f 05 fe 33 6e 44 40 bb 86 92 86 d4 4a f1 57 88 +0e 3a 40 fb 06 72 5d 09 de b3 7f 1e bb 18 1c 8f +5c + +# PKCS#1 v1.5 Signature Example 12.2 + +# ----------------- + +# Message to be signed: +78 86 85 fc 58 05 d6 27 b1 3f 2f e7 fe 6f 7c 9a +b2 ca 49 44 ab f3 08 b8 6d 1a 0f 58 3d 17 b5 76 +02 43 9e 1f 2c 6e 0c 5b f7 81 70 50 13 38 b4 c4 +47 e9 19 7b 65 03 fb 73 eb ab f7 76 de fa e3 3b +dc dc e7 7d e7 9b 82 be 14 85 a8 aa 9b 82 09 37 +db f4 28 a2 05 50 96 6a 86 b6 2a 17 2e 6c fb dc +fe 0d 6f c6 7a 4d b6 22 52 fd af 85 f1 e6 bc 14 +f8 ab 1c 53 32 6a a6 a7 bc 5e ec 88 e0 b1 1d 48 +d2 b5 61 f2 26 06 50 10 2f f2 7b 57 b7 00 72 bc +c1 21 e3 5e 70 f3 78 0c 83 33 b5 bf 6b 08 fa 12 +08 26 0f 33 + +# Signature: +09 04 cc 11 ac 66 a9 83 7b 74 56 8b e2 50 e5 3a +e4 be f7 8d c6 7f fe e5 09 e5 d9 b4 72 58 3e aa +a5 6d 4c 9e e7 0f 6e 82 dc 99 8b 53 ef f1 27 2b +f0 1f 09 e5 26 2b 15 5a 6e 56 d1 50 40 03 e4 c8 +a4 6e 65 02 55 32 78 23 0d 6e 81 b7 29 18 43 ab +97 69 73 7f 3c 69 31 52 f1 7b f2 d8 bf c7 82 bd +b3 fa 0a ea df 0d 44 1e 1e 52 de a5 4b 75 cf 16 +5e 35 c3 82 d3 11 74 f6 67 9d 2f 21 b9 81 f4 13 +58 + +# PKCS#1 v1.5 Signature Example 12.3 + +# ----------------- + +# Message to be signed: +4e c7 39 3f dc 4b 90 af 8f ff ca f3 4e 84 5a 09 +65 6a ef 9d da 12 b0 34 2c 46 eb 04 91 74 aa 51 +1b 43 c9 4d 75 c0 e2 90 70 af f5 b4 14 23 a1 70 +d9 b3 e8 b2 12 24 aa bc 53 1d 88 88 6e 26 46 d6 +78 8f 1b aa d4 ef 4b 0b 4b de 4b 12 ce 90 52 08 +2e 2d dd 0e 3e 6c aa bb 0a 14 34 4b 0a 58 3f 40 +4c 1b 6a 3c 7b ca 8a 58 85 d5 f2 24 af 1f ca c3 +fa d9 37 0e 9b 29 74 e8 ca 62 e2 2a ce b9 + +# Signature: +21 a6 6a f6 27 ee 0d d0 5f e7 56 3c c1 d2 9c cf +6f 87 31 b4 1e 3d b3 95 97 89 3b a1 cf 37 5f 78 +17 88 fd f0 73 b0 b5 93 c7 6d f2 81 6e c6 de fc +22 42 21 ac 19 f5 be e4 4f c0 e5 d4 09 3d 34 68 +27 8f b4 2d 40 5a 07 04 46 53 22 da 4d 3a 7c a9 +c3 da 73 c3 d0 82 ae e5 67 b7 70 83 32 3e 75 bb +35 ed 77 e8 db 9c 01 b4 96 a0 4c c4 a8 99 df 35 +9d a4 a2 28 7c af ff e1 ed 63 cd de ad 87 6c 94 +07 + +# PKCS#1 v1.5 Signature Example 12.4 + +# ----------------- + +# Message to be signed: +90 77 60 db 32 96 9b 09 7d c1 24 ef 89 75 15 11 +a5 d2 30 59 6d 2f d8 a8 91 ff 00 f0 5f ba d4 5f +72 a4 5d 46 56 24 a3 ab 67 af db b9 e5 f9 e6 5b +63 e3 0c 2e 57 fe 7f 32 f3 99 01 10 33 dc 05 29 +c0 97 1f be 06 4f c5 ed b0 1f 84 cd 57 28 3f bb +bd 2a a0 29 44 11 0b 6b 53 4f 74 08 2f 56 be 34 +6c c3 43 bd 4d 0b 34 80 91 c0 05 c6 19 9a 7e 3d +56 88 52 47 b0 c1 6a 36 b2 35 b8 f5 d4 f0 0a 6c +6b b6 fe ed e8 8f cd 78 8d 75 ca cf f7 d9 56 87 +99 65 71 55 9c 05 79 6a 55 71 1d 77 46 bb 92 d8 +52 89 3b a9 06 75 f9 8b 0f 54 08 48 1b f1 54 3f +39 de 3d 0c 0c 1f 53 49 5b d2 12 dd cd c6 d0 e5 +7d 7a 3d be 24 20 8c b2 4e d4 1d e0 3a 5f 05 2a +9b 58 12 70 0a 5c e0 5c 02 00 d4 71 9c 55 54 4e +7f b2 94 d3 44 a4 f2 05 ef 9a 34 97 b5 67 54 7c +bd 1a 63 3e 2b 79 d3 34 90 95 + +# Signature: +0e c9 38 a0 d4 b2 a4 ed d2 78 d6 3d e7 61 c1 02 +e2 59 21 02 ee 05 db 1b 59 1e 0d 85 7b f6 66 84 +9e 74 cc 19 b7 e4 e9 cc 39 2d e5 39 f7 90 fc 68 +e3 b5 21 db 3a 1a 26 7e 5a 4e 12 19 75 2e 01 99 +e7 01 9a 24 85 54 c5 ba e3 11 2b ee a4 0c f3 e6 +4f 8a af 9b b1 e9 d1 c1 d8 83 3c 2b fa 31 b9 d5 +45 0f a2 49 29 7f e2 e4 6a b0 3e 99 b1 f9 c6 51 +d5 39 eb 53 ce 09 61 ce 60 23 c1 7d d7 38 3d d1 +2b + +# PKCS#1 v1.5 Signature Example 12.5 + +# ----------------- + +# Message to be signed: +bd a5 54 95 47 32 d1 d5 f3 94 75 55 c6 1f fa b8 +01 db cd c8 12 1d c6 81 91 27 c2 f2 2a 43 6d 20 +62 2d 1f 4a 44 7c 3a 77 b6 58 57 31 af c0 3e 77 +ba eb 70 9c 1b fb 90 6a 1a a1 94 9a b6 76 3a 15 +c7 da 5a 12 a8 f3 95 10 1e 64 6a 83 71 73 14 1f +2a 0c f5 36 02 4b 36 91 8c f9 db 95 b1 cc 40 5a +ef e6 3a 3a 93 bc 4a da 60 a0 f4 e0 72 9f 4d b8 +b7 6f d6 4e fc bc b6 6f 0e 4a af f3 + +# Signature: +07 26 2f e1 f3 d7 b7 79 32 cd b7 cd 96 ac 19 8b +93 03 eb 44 46 0f 52 98 e8 e5 2f e6 70 52 99 bb +d6 18 ef d0 b3 63 31 56 2f 20 b2 0e 86 6d 99 c2 +d0 4a 01 49 f5 64 dd f6 6b a3 19 f3 b8 48 25 39 +6e a8 b8 93 ba 5b 3e e5 e5 24 5c fe 6b 61 6e 30 +a9 00 bf 83 bb 76 3d 20 b3 30 37 01 ca be 94 33 +41 48 88 2a e4 ef 14 e6 d9 e6 c7 52 bc e2 53 bd +da 57 39 e3 3b dc 32 eb 08 28 28 c1 c3 99 c2 2f +ea + +# PKCS#1 v1.5 Signature Example 12.6 + +# ----------------- + +# Message to be signed: +51 76 ad 7c 99 be 4c db bb 5d 79 ba 5f 49 6c ad +9f 42 dc 25 d5 27 a5 d5 e8 e3 35 91 79 22 5e 6b +0e 43 66 6d 3d 82 ab 5b af 42 4c 85 c3 31 21 60 +6e b7 9a da 6b af ca b5 c1 e2 54 6c ab f6 a3 60 +03 84 05 ca 18 c0 08 36 67 + +# Signature: +06 27 23 8b 0b 93 e4 cf 98 57 13 d2 91 29 6c ed +e3 45 e8 8e 17 82 45 25 53 59 39 b3 f3 d5 ff 4e +bc 40 74 00 11 49 00 25 df ea ae e9 06 38 c5 39 +1e b4 4e 9f f3 70 45 7b 60 d5 de 80 c1 65 38 cb +38 60 55 95 85 ca f5 e3 33 2c 7b 1f dd 8f 45 fb +6e 35 57 f2 c7 a6 0d 09 9e 94 f8 e9 6b aa 1e 03 +19 9a c8 3c ec 8f 9c 16 bb 49 15 1a 88 72 cb fe +70 f0 02 cf 3b 53 b6 11 d6 cb b6 65 89 7c eb f5 +99 + +# PKCS#1 v1.5 Signature Example 12.7 + +# ----------------- + +# Message to be signed: +e1 74 71 93 64 f7 bd c8 6e 2f 0c 61 26 5b f8 05 +7d 64 9c ca + +# Signature: +09 77 19 54 fc 8a 1f ee e9 0f 60 c4 b8 a5 bb d4 +62 c6 34 37 9a b3 da 19 ff eb a6 e0 31 b4 24 3a +83 50 9c ee ed 6e 01 2a 91 63 c6 14 5c f7 05 02 +a9 fb 0c 21 db 31 fa d5 ad 14 69 5d e0 02 62 e4 +e5 67 09 5e 16 11 0c 6e 65 d6 bc b9 cc 02 e9 19 +f9 0d 19 e7 30 7f 44 34 50 3f 9f e0 2c 12 c1 d3 +f5 0c c1 60 08 6f e4 60 29 8c 88 12 25 bf f2 e9 +e3 13 da 38 44 44 be c7 2a 67 ac 34 44 67 e8 2b +66 + +# PKCS#1 v1.5 Signature Example 12.8 + +# ----------------- + +# Message to be signed: +98 cb c9 1f d4 9b 50 7c 88 7e 97 c3 cf a9 b5 9c +26 00 1f ca c1 64 87 f6 00 4f 0b 68 74 54 63 20 +02 d5 49 b5 46 1f f1 53 0c 0f 5f c0 9a ac c4 6a +da da 7d c9 d7 b3 e2 0f ed fe ec d8 f2 f1 68 41 +77 32 68 54 2e 86 43 1c 7f b4 d1 63 f3 1e 8e 31 +72 20 34 26 bc 0d 88 a2 3b 13 76 34 bf c7 14 01 +72 20 fb fb ec 88 8e 01 e3 ef f7 bb bd f9 3f 08 +3b 88 fd d6 40 7d 98 9b cc 5e cb 15 3c 9c ee 34 +10 fd 00 6b cd f0 7a f2 28 79 0f d5 e0 4f 5c 0a +1b 63 64 8d 48 60 9b f1 63 c6 fd 65 60 20 75 7c +3c 06 38 e1 b8 2d 75 e2 b4 b9 08 b7 e0 a3 c8 d7 +26 6b 80 1f 60 fc 2b 4f 31 7e bb 8b f2 2a b9 e1 +cb 7b 77 84 39 5b d7 b4 24 32 9e 86 1d 47 86 61 +f6 dc 12 98 51 5f 48 56 4a 3f f9 97 35 bb 90 03 +38 75 a2 5b e8 b7 24 f3 + +# Signature: +0f 2d 7a 5e ab 83 58 45 03 d9 4e bf 7d de 9e ed +49 41 10 be 94 ed 64 8a f0 cf 6e 89 1b 06 2d 2c +9d ef 95 87 55 b1 a3 08 48 8d 16 70 74 29 51 ec +00 60 54 5d 2e c4 3f e8 4a ec 89 01 ad f4 fe 8d +67 aa e5 7a 31 9f 49 1c 85 c2 1c d7 f9 c5 99 81 +3c eb 9d f8 47 78 ad c8 2a 33 c4 e7 67 4d 7f be +13 48 dc 20 75 51 10 4f 54 42 ac d6 84 86 9a c2 +2c ac 51 6c c9 88 7f d1 d0 21 ef cc 54 ab da f2 +b6 + +# PKCS#1 v1.5 Signature Example 12.9 + +# ----------------- + +# Message to be signed: +3e ed 6b f1 16 cb 31 e0 fd d4 c5 c9 33 58 ba b6 +8f bf a8 b5 c5 15 bc ab f9 05 1c df 95 a2 43 e5 +ee 68 15 15 4e eb 4a c1 0f 52 31 d0 49 38 13 e2 +81 49 e9 68 2b b1 c8 b7 7a 6e 13 60 b2 b2 c0 f9 +c3 16 1e 41 7e f6 cb 3d 9a bb dc 74 2c e0 25 fa +fc d5 38 c7 7c 4d 07 16 49 1d a5 4b cd f1 67 b4 +7a 61 a0 35 27 c9 6e 4b 42 bf dc 98 5b 17 87 81 +b6 92 0f 60 f1 1c d5 fa 76 66 3f 56 f3 19 f4 50 +cc 2a 7f 13 bc ce 59 e4 1c b6 66 + +# Signature: +07 67 3f a6 83 e0 98 bf a2 b9 55 b6 c3 4e 9c e8 +ec cc 5a b0 ab 4c 2c f7 9b 9b e1 e6 64 42 5a 7c +17 7a 47 d5 32 0c d5 70 86 f9 51 89 18 45 09 4b +1f bb c9 de e5 f9 b5 56 df 3e 61 e7 e6 69 73 d6 +3e 69 c9 da 17 29 6f e6 15 d6 33 c8 62 18 dc a3 +99 25 8c 04 f8 05 bd 04 d9 dc 97 a2 9f 39 d6 06 +ff 8e 9c 0a 13 71 aa ee c0 03 ea 27 48 95 ff 7b +a1 50 2b 28 f8 17 63 02 c2 4e ec e5 b5 28 d6 71 +00 + +# PKCS#1 v1.5 Signature Example 12.10 + +# ----------------- + +# Message to be signed: +08 4e c2 87 86 5e 8f e6 88 04 72 37 20 97 ad 5b +96 4c 40 a9 35 ee d1 be a5 1a b1 b5 bc 75 c8 46 +bb cb d9 54 88 e9 ec c3 63 cf 07 3a 90 b2 0b e8 +b6 79 36 46 22 f3 45 e1 22 d0 56 6a cd 34 a4 ae +11 24 45 25 a3 8f 47 dc 1f 92 b1 7f 89 ed e0 6d +83 6b 44 26 ec bb ea 79 33 ac 0e 84 7e 55 10 33 +b5 f7 ea 4e af 1f 63 f3 47 9d b7 ea f8 02 c9 96 +de 92 33 86 cd 15 b1 22 de 5a 23 98 d3 f3 97 02 +c3 e9 06 5c 32 73 95 b9 a9 95 fa 25 4d e9 c7 ad +b4 51 + +# Signature: +13 a7 f0 04 c0 a8 8d 51 3e 2f 1a ae ab 41 7f a0 +b2 70 2f b9 3b 82 87 20 cc d8 00 cb b0 af 5a 19 +65 72 5b 6e e0 58 71 17 cb cb 81 a4 63 18 52 1c +95 0d d8 46 9b d8 55 73 f5 d2 9d 86 53 03 eb ac +45 c7 f6 03 1c 6f 93 78 eb 12 b4 2f 05 09 44 31 +6f 0b 93 db 89 9b ec 93 7d 5d 0f 58 ed 40 70 04 +01 cd 32 65 a6 a4 4b 09 bb 11 a4 38 ee a0 77 15 +ef e4 2d e4 e8 80 8f 88 24 02 61 14 8e 8d e2 93 +ed + +# PKCS#1 v1.5 Signature Example 12.11 + +# ----------------- + +# Message to be signed: +61 07 00 00 7c 3c 6c b0 96 c9 94 d6 5d 95 c9 b9 +a1 47 c3 46 14 cd 72 2f 29 eb c5 e0 93 78 6f 79 +09 48 02 14 1a 31 08 d2 ec 8a 87 4c 53 18 7e b0 +d6 ee 2a 85 91 38 cf bc 29 22 15 06 d0 bd 89 b0 +f3 db ef 50 6b d1 ba 40 36 b0 f1 ec 00 73 32 70 +60 75 2b 42 8c fa 12 db 28 0c 53 aa e5 f3 e3 57 +0e 91 8c b0 9b 90 e9 84 7f 1f 5c a4 48 7a 6b f3 +ed ad 42 5f 78 40 7e cb e3 f9 bc 7c ab 00 75 66 +58 79 43 1c 6c c3 9e 0c 7e 67 00 60 67 41 8b ee +8d 0d b5 e7 db e1 2d a7 16 ca + +# Signature: +1e be af 85 d1 8f 37 84 0e 8a 3e af 07 d6 9f 52 +4d 88 3f a4 2f 29 1e 20 07 db 59 5a d6 93 0e 8d +5a 75 b4 0b b9 5b eb 72 d7 ce d0 38 17 97 47 e9 +66 1d 08 38 40 d5 87 dc df 21 c3 ad c7 d4 7a 01 +f6 ec a9 c7 bf 9e 2a 98 87 75 1b 36 d1 ab af 25 +a3 13 fc 29 d7 f8 34 d2 a2 48 29 85 57 5e 1b e2 +4b c4 ef 43 a5 7e f4 b0 a6 83 69 93 e1 1b 67 07 +85 04 e3 b7 9c 72 17 75 f5 b9 9b fa cc c4 8a 8c +34 + +# PKCS#1 v1.5 Signature Example 12.12 + +# ----------------- + +# Message to be signed: +da 31 f9 be 26 09 + +# Signature: +1d 2b ba fc a4 1c a0 6c 4b 81 1c b9 d8 36 96 87 +16 6d 14 d9 f9 2c 5b 98 fc 7c 77 2f 2d 75 d3 5a +5f 9a cc e5 9b 99 ef b2 dc b9 7d cc bb c8 6d 7f +d6 b4 ae 8b ea b1 e9 81 e6 c7 74 5a 1b fb 4c 1f +44 a4 72 b2 ad 07 d4 1c c1 75 15 b7 b1 4a 49 99 +0b 24 34 42 ff 2c 8f e5 05 b1 84 9f a9 91 ca cf +68 09 a2 0e 55 f2 af 77 98 87 0d 65 77 6f 1f 9e +e4 87 97 e3 13 aa 66 a4 7e 69 5f 3e 73 1b 2c 7f +30 + +# PKCS#1 v1.5 Signature Example 12.13 + +# ----------------- + +# Message to be signed: +f9 8b e5 2d 9a 5e 55 ad 92 + +# Signature: +29 2e a3 4d 3e 61 18 bf 8c d0 54 e2 15 17 e8 63 +ce 7c b7 dd 72 73 30 8f 7e cf ea cf 9b 45 75 83 +d9 b9 b9 7c 54 ab f7 4e 5a 5c a3 6a 87 06 7e 47 +d6 7a a0 47 a1 c2 ed 7a 23 d0 55 ab 4f 09 4a 83 +c4 39 ef 8d d2 d0 20 35 ef 05 62 d9 67 31 3d 81 +10 2f c6 8b 74 52 5b b0 e1 d7 96 2e b2 75 8e c5 +e5 ae ab 65 a9 3d 2e c8 e6 55 40 5a f8 8c 00 fa +35 f5 9d e9 d0 cd 80 45 ab d3 71 73 b9 fc 6c 51 +d8 + +# PKCS#1 v1.5 Signature Example 12.14 + +# ----------------- + +# Message to be signed: +f4 38 ef f8 4c 37 3f c1 27 44 a3 84 15 82 43 dd +97 f4 36 5e 87 d7 1e 8b 56 b2 97 91 df 44 ad f3 +49 e7 62 60 04 a2 c5 33 35 ec 63 52 cc e2 ed d9 +63 94 7f d2 39 38 93 c2 48 ba 1b 84 08 42 ca 77 +6c 31 72 9f 70 7a f5 04 11 00 1c 28 7f ba 8f e7 +25 02 32 0c 44 5b b1 43 fb 7b f5 39 4e c1 fb 2c +d5 01 59 24 32 15 40 91 de 5a 23 65 d6 78 f3 57 +82 fe a8 b4 7f 64 d6 09 19 f0 f1 d5 af a7 62 6c +40 d1 6c ec 19 bf e0 25 d1 16 f4 2d 22 e2 0a db +56 37 5a d7 70 89 f9 a9 33 81 fd 78 b7 b1 51 1c +b4 e4 98 4d 2d dc 7c 9d 75 b3 10 f2 95 42 25 60 +d6 6e 36 02 a8 71 20 96 16 13 1a 84 71 43 dd 07 +8f 23 58 7d b5 02 dd a0 3e 18 60 64 82 db be 01 +4e a0 83 b7 ec 16 1b + +# Signature: +0e af eb f1 5d 84 ee 4a 13 f1 a8 2b 84 05 11 86 +41 e2 2e 51 da 94 d8 58 87 fc 4a 3b 11 f0 32 49 +cc 39 a0 37 45 01 07 1c 7e ef 4a ba a1 14 08 d0 +2f ae 17 86 de a3 75 88 47 9c 90 d6 27 69 85 91 +c3 ba e1 fe fd 6e 8c 40 e3 ff 4b 9f 60 61 e0 6c +12 fd d2 1c 7f 45 dd c5 b7 8d 1c bc 41 c1 57 06 +fa 20 ba 92 f9 9f 58 b2 2b e2 76 75 be e0 81 a0 +60 67 ee d1 58 f8 e2 0b f0 4a 6e 96 8f 71 9a 32 +34 + +# PKCS#1 v1.5 Signature Example 12.15 + +# ----------------- + +# Message to be signed: +fa 1c 0f 7b 10 15 a8 95 b1 a5 65 f3 29 96 b2 b8 +cc fd 86 4b 95 54 4d bb 9c f4 f6 e1 a8 41 de 92 +06 d5 57 26 fd f7 ee a2 bf 33 6a 82 9f d2 bc 12 +09 bd 21 5a ab b9 77 d2 3a 08 3f 10 ae 69 db 43 +7c a3 2d 7b fe 4c 88 25 b9 34 88 f0 1a fd f7 84 +45 8c ef 5c dd 8d ff dd 17 + +# Signature: +25 e2 2e 6d f7 fc 6b d4 e0 f6 1e bc 8d a0 63 fe +47 8a 3e d7 4d 68 f7 76 34 35 e0 e3 74 f6 52 62 +a5 d7 61 2e 86 78 59 61 22 c0 e5 b8 fa 0c 0b 12 +81 2b a9 65 3a 0f 27 38 83 c6 26 4c 6d fb 74 bb +34 40 5d 2a 04 30 43 fb b0 ab f2 af 7a 12 3d 2d +db f1 69 92 e0 9b aa 37 d7 31 d7 2e f1 99 62 65 +8a 8f b0 10 a1 0f 7d 55 62 ad 54 33 47 90 01 af +36 d3 d3 26 ea db 2e 9a be c7 b5 55 70 9d 5d 47 +e9 + +# PKCS#1 v1.5 Signature Example 12.16 + +# ----------------- + +# Message to be signed: +82 8e be 2f 51 e5 88 29 cf a6 15 26 dd ed 7e 1f +1b a3 11 db f1 06 4c 08 ac 0b b5 d6 71 6e ab 29 +8a 23 d6 3b 79 3f fd 9d 9c ea 60 22 95 98 82 3f +28 2f 10 7b 6e e8 8a 53 fd 93 e7 dd d4 8a 73 1a +21 09 ff ed c8 9a eb a2 c0 f1 6b cb 14 0a 0a 89 +dc 57 ee 8b 5d 00 0a 21 42 17 5b c7 07 bb 40 9a +ae 3a 03 9c 66 3d 01 9a 0b d9 13 c1 3f 7f f6 f6 +b9 1e 90 5a 58 9d 38 b1 50 48 5d 89 09 2d 18 a3 +a7 62 25 27 65 52 5d 98 45 66 42 5b 05 77 0d e9 +a8 be f4 43 ff 5f c1 48 33 af a4 cc ec e5 42 d4 +f2 ce f1 e7 96 f5 9f b3 a4 bf 37 cb 67 7a e4 22 +36 66 c8 2b 31 a1 6a 6c d7 01 a0 49 3c d9 96 86 +6c 84 bf cd df 85 2b 19 ff c8 9e 93 61 79 fc e8 +b9 9e 72 fd 4a fc 28 b5 11 73 af bb 25 c4 c7 + +# Signature: +16 17 55 9e 43 ba 18 2e 95 34 86 43 6f 15 b6 02 +83 1e 42 ee d2 03 c2 69 f6 53 bf 63 9c 2b 76 0b +0d 49 fb 53 2c a8 ad 01 e7 b4 af 83 72 92 55 db +55 9b cf 55 fa b3 65 9c eb ec d5 37 69 4f ef 2d +ef 9c 9e 76 2d 05 d2 32 1e d6 88 c3 f7 e2 c0 57 +33 ab 4f a8 1b 08 cf 79 fa cb 75 c3 20 0b 7a 48 +3a f0 8c b1 83 c5 09 27 cc 61 69 e4 32 f7 fc 9b +11 78 0d bf 4d 3b 72 d2 d0 b8 55 93 d8 b5 b0 18 +2a + +# PKCS#1 v1.5 Signature Example 12.17 + +# ----------------- + +# Message to be signed: +bb 4a 6e cc bd d6 de 0a c5 c3 b7 f9 97 98 10 4a +58 69 c1 cf 1a 1f ac 7f 85 9f e9 51 49 29 7e b7 +79 11 00 59 e2 69 f1 27 56 f0 8a 54 8b 66 af + +# Signature: +27 7b ae 63 e6 e3 25 3a 0e 20 4f 4e 6c 9f e8 4b +04 0b 86 4f 21 ed d4 42 6d 82 be 8f 1b 91 1b 0b +d2 81 cf 11 49 53 d4 02 09 da 2e 9a ae 13 3b cd +18 55 ef 0a 99 69 3a 94 43 c9 3f 6d d2 75 f0 58 +fd 1b b6 95 32 b6 4a 1d d7 e1 d0 e7 80 d7 52 04 +fa 8c 61 c2 eb 5d e8 82 72 cb 93 ae f0 80 f7 02 +bb 78 88 94 25 a5 f1 66 f6 3b 5b 1a 31 ec 5c 1c +26 a5 99 fa fe 58 77 42 98 b9 7d b3 14 fc 81 d0 +92 + +# PKCS#1 v1.5 Signature Example 12.18 + +# ----------------- + +# Message to be signed: +f1 d1 11 ad 08 e0 38 ca 3a b4 e5 2e 5e ab 71 01 +87 6c a9 be 62 6a 13 59 17 f4 5b 1f 9d 1b 32 ef +e4 ff 86 7a b8 a3 05 f9 49 c0 04 8b 25 f5 46 22 +61 b1 a3 49 3b 81 90 21 0f 5c fa 6b f7 e5 c3 00 +54 98 de ec c1 e1 c5 04 f3 a3 49 98 be 6a d6 ac +00 40 51 c4 e0 a3 db 2c 22 eb 5e 14 16 55 28 df +78 12 a2 0d 5c 7f 05 b9 40 ca 13 e9 38 3a e0 0d +6c d4 d0 f4 ae 3d ad 04 7a b9 c4 17 8d b6 6d 3b +80 96 0c af 0a 92 4d c9 4e b8 e0 77 09 bc db 34 +9e 90 fa 2e 10 c5 d5 26 d2 21 9c a7 6f 88 01 fd +c6 61 bd ca 6a 93 da 48 d0 45 ac 37 51 34 cc d6 +ff 7c 52 fd 15 c7 cd 3d 1f 31 af e5 04 bc e7 c0 +33 3a 89 79 e3 ce cc 53 c4 ea dd 7d 95 d4 6f a3 +b2 a9 f0 06 10 0d 6b fc 0e d5 ee 77 69 4f f1 a2 +4e 16 a5 44 de 71 46 52 90 dd dd 18 9f 01 67 03 +59 f8 c6 b5 d4 c6 b6 b9 f5 c5 7a a5 a3 8f 07 99 + +# Signature: +0d e9 42 31 c0 6a b1 87 b0 0d da 2b 34 e2 b4 cb +ac 41 f6 08 c4 8c 72 27 a6 28 2a 17 9e 58 c3 2e +f5 dd c9 76 4f a2 df c3 fb e0 21 dd b4 81 56 a6 +37 3c d6 9b 85 d3 64 d8 9b 5a 32 fa bb 2d 46 5d +05 62 d4 a1 dd 6f ca 64 78 0b 06 2a 94 71 24 a7 +fc 0b 82 e4 fe d1 2b 8b 4f 72 6a 0c 85 39 c6 cd +e2 1a f6 55 ac c8 de 1e 7b a9 d6 7b 87 b8 e7 77 +d4 8a cd 86 8a 80 db 15 31 4f 35 55 60 10 35 77 +eb + +# PKCS#1 v1.5 Signature Example 12.19 + +# ----------------- + +# Message to be signed: +9c 4e cc 4b 24 44 a4 01 bf b6 f4 b7 24 49 23 a5 +ad 33 86 c3 b8 41 67 8c f5 e6 44 7b 8a 3a 07 59 +86 c3 3f d0 01 b8 43 72 4d dd c4 21 2f f4 5a b3 +fe ca a9 0a 16 f6 b5 59 2c 51 5c c4 ee 54 ae a4 +59 34 32 16 70 96 67 8f 93 41 59 85 6d 14 c4 32 +e7 d6 d2 8d 71 b2 68 7f 54 ed 71 9e 5c 20 11 00 +68 8e 85 f2 0e 79 a9 ee 8a a4 b6 14 31 34 3d 1e +99 c2 14 35 c6 1e 8b c1 04 f2 ba d5 29 60 fc ee +e6 7b 85 03 3d 3a ee fa e4 13 ce 29 70 1e ff cb +02 b4 84 a0 31 e2 f3 19 ef 7e d0 d6 e6 9b 29 16 +ee b3 8c 4f 19 42 ba 23 c2 a1 79 0c e3 fe 09 d0 +1b 9b 9f e6 db a8 dc 21 0e aa 8f e7 3c a7 6f 1b +5b + +# Signature: +18 53 c2 1a 4a 18 54 7d 86 7b 3c ed 02 da f0 b2 +2c e8 d4 d5 af 2b 8e f5 f7 c8 fd 38 5b 81 53 64 +8d 81 83 1d 6a cb 5d a8 30 f6 77 40 25 9f fb 33 +9f 7b 90 af 48 83 81 9c 47 15 e0 8c 28 99 d4 c7 +24 6e 07 e5 bc 6e f3 cf d9 a0 4d a0 6c 43 e9 5c +77 2b e2 21 cf aa f6 95 4e f9 33 31 e5 95 ff 48 +92 1f 05 fc e8 fa 0d 42 9e 0c 99 56 2a 9c 2f 68 +eb f3 2c f1 c6 c6 bb 8b 27 4a 2e 42 d6 71 59 12 +ff + +# PKCS#1 v1.5 Signature Example 12.20 + +# ----------------- + +# Message to be signed: +c3 81 e6 03 99 86 51 66 d2 ba a0 31 45 26 83 34 +18 40 39 e0 53 35 a3 00 c2 80 4e 2b fe f5 a7 d1 +4c 44 3d 65 38 e1 6b df 9d a7 ad 1f ea 63 4e bf +e1 13 bc 82 1e 79 a4 49 b2 eb 2f 57 c2 1f ba 35 +ff cc 6a 7e 52 55 72 27 7e 8f 55 37 c7 b5 b9 79 +4d ef b3 9a ab 06 07 85 d1 99 40 02 dc f8 07 01 +2e 1d 17 91 da 94 3b 2b 75 9c 36 6b b4 24 e4 2c +9c 20 43 ce 78 8a 25 fb fe bb 87 e7 4c b0 20 b1 +1e 8e af 16 18 84 d6 67 2b be 9c 09 fb b3 b8 af +a0 61 + +# Signature: +19 90 69 57 37 53 01 8f 33 59 2a f1 5c 1d 31 31 +bf 5d 8a c4 f6 4c f6 14 d3 a0 1b f3 72 df 00 2e +b5 b5 fc 8f 82 ba 13 7f 83 dc 14 2e de 38 c5 81 +80 e7 bd a6 9c 4f 1b c7 bf 96 ec d3 fa 79 bc cb +dd b7 d9 2e 4f d8 64 c5 fa 93 3a 4d fc 60 0e 10 +83 00 8a 38 6f 4d 02 2c 20 24 ff 7e 0b 37 22 ea +fe a0 5a 1e 02 c7 a6 3e eb 40 f4 f4 c4 f6 60 c3 +24 72 a0 a7 89 23 e3 86 3a 99 44 5e 7c fe 27 00 +60 + +# ============================================= + +# Example 13: A 1031-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +70 e9 23 a5 a0 cd 8e cd f9 9b be 93 d7 d0 28 82 +95 5d 91 b6 ef e3 ce c8 6c 93 d2 1c 0a c3 01 b8 +29 3e 51 43 5b 87 8b c6 b3 4b ed 41 11 59 0e 76 +46 76 58 8b 11 6c 2a 36 a4 c7 7e d9 c9 0a 13 c1 +4d 23 e1 99 47 87 fc db 8f 5c 97 41 0f ca d4 04 +5b 85 85 70 2c ce 29 da 11 f9 7e 79 a9 7c 2e 5f +6a 5f c0 bb 8c e7 6d 15 54 a8 bc 47 96 17 20 d3 +64 05 0b f2 74 19 bf f1 68 c0 a7 ec c8 73 4c b5 +a5 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +70 e9 23 a5 a0 cd 8e cd f9 9b be 93 d7 d0 28 82 +95 5d 91 b6 ef e3 ce c8 6c 93 d2 1c 0a c3 01 b8 +29 3e 51 43 5b 87 8b c6 b3 4b ed 41 11 59 0e 76 +46 76 58 8b 11 6c 2a 36 a4 c7 7e d9 c9 0a 13 c1 +4d 23 e1 99 47 87 fc db 8f 5c 97 41 0f ca d4 04 +5b 85 85 70 2c ce 29 da 11 f9 7e 79 a9 7c 2e 5f +6a 5f c0 bb 8c e7 6d 15 54 a8 bc 47 96 17 20 d3 +64 05 0b f2 74 19 bf f1 68 c0 a7 ec c8 73 4c b5 +a5 + +# Public exponent: +01 00 01 + +# Exponent: +02 9e 10 f6 bb b7 d0 2d eb b1 a5 d5 19 0d 69 06 +ff ed eb 9d 15 4a 0f 66 db 87 80 b9 28 31 b5 96 +3e 94 84 7f 3e 7d b1 aa 91 48 fb 0e c5 57 6e 6b +a4 fe 04 d6 f2 78 32 b1 52 18 12 d3 7b 22 d9 ea +e2 80 08 e0 92 c6 7e 72 32 42 67 e1 b1 ee 45 43 +55 74 1d 8d e1 d2 a6 a0 50 74 bb 1c e5 81 8b 41 +bd 19 dc 6b 58 c8 93 7d 8a d6 40 d7 04 3f a1 1f +46 8d 6c cb ec 4a de 52 0a 9e 15 9d 60 5d 09 28 +29 + +# Prime 1: +0a b4 64 fd 6f e3 3c 45 9a b2 dc ce 5f 78 a4 d7 +4f 92 b9 97 d4 bf 54 2e 2d 85 4e 76 2c 85 86 fc +43 57 cc 58 cb 33 36 33 b0 95 a5 ee 04 a0 32 48 +53 64 d7 0f 67 a3 aa 04 85 4c 7a 87 a6 9c f4 c2 +ad + +# Prime 2: +0a 8c 3c c5 04 13 40 f4 32 fe 0a 78 73 13 57 79 +16 fe 76 c0 39 f9 71 75 9e c5 0e d6 c5 b9 a7 36 +9b 68 96 9e cb 52 59 fe 9c 50 d0 75 9b f8 b3 aa +c1 a5 d5 b5 28 8d 67 89 e7 18 fa 37 ef 42 39 95 +d9 + +# Prime exponent 1: +bb 29 5a 95 d5 b3 3c 1d c0 b1 8b f6 c1 4a a0 d9 +f2 6f 72 8b 39 36 0a a1 59 45 6e 94 c3 d9 e0 48 +c9 2a 4f b6 31 1d 36 92 8c e5 f4 47 a4 99 4a 8f +47 87 d8 a9 7f 68 11 3e f9 66 34 f5 90 2a b7 51 + +# Prime exponent 2: +02 fa 11 2c 89 39 e5 db 05 89 2c eb 51 8e e3 e1 +08 dc 48 27 78 35 2e 10 43 fe d9 71 43 dc 61 94 +c7 c7 7c ba d4 27 29 be f1 de dc f6 54 4e 9c 66 +54 c0 b8 cf a7 e2 40 96 6a e2 61 bb e7 8a 89 36 +01 + +# Coefficient: +a8 8b f3 ff e9 3f 40 4e 06 82 1c 97 71 ea e6 08 +15 71 2d 6f 94 52 71 f6 f3 6f 03 69 d9 66 c9 20 +c7 f8 cb c7 84 25 ac bb 9c e0 fa 1a 03 22 f5 0c +97 b8 11 5b d1 51 91 f2 24 b5 68 d1 d6 ec a6 db + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 13.1 + +# ----------------- + +# Message to be signed: +b5 e8 6c 8b a3 98 5a a5 54 1d f9 5e 51 3c ff 67 +61 2e af 2e 16 68 85 76 f7 d6 73 f6 f1 89 1f b7 +5c 9d d2 cd + +# Signature: +6b 42 fd 51 63 09 19 7f 8a f3 c7 3e 39 62 4d 8e +ba be cd a3 ec 3c e6 57 b1 11 7f 43 e9 83 87 7a +1b a1 aa f8 e9 5c c3 99 91 d9 2e 35 e2 db 1e 41 +30 90 14 3d 16 46 71 98 b9 b9 a9 90 d7 74 c2 7a +d3 bb b4 35 2d 3f 07 5d 61 73 2c 6b 58 ec 0f 66 +e4 92 a3 f7 ac 4b bc f0 12 ed 6b 40 1f eb 4f f3 +95 cb 8b 21 8a 81 d6 17 31 ee ce 37 6f 68 8e 66 +ae a6 98 b4 a8 86 2f 58 c9 1d 87 60 85 49 6f d0 +14 + +# PKCS#1 v1.5 Signature Example 13.2 + +# ----------------- + +# Message to be signed: +95 46 34 6c f2 21 94 c7 87 88 81 70 a4 82 f7 f4 +92 17 c3 94 0d c6 21 0c e3 9e 45 50 a3 9b 45 28 +22 41 9a ea c2 4b ec 19 8b b3 59 d0 8b e8 19 6d +f2 e7 57 76 61 96 c9 58 e2 b1 59 c7 4c 1c 30 23 +c2 db cc e9 ed 5d 0e f3 fb 51 45 0b ff 64 45 db +26 5e 60 6e 19 4b ee 06 4c a5 b3 21 d7 e1 55 14 +23 0c 2b 3b 55 d5 da 4c d0 40 52 2f 7b b8 6a 96 +2b 81 3f 9d a3 9e 51 38 9b c6 4f 56 e4 47 b2 a2 +bf 81 9d 7a 80 09 4e 2b 8d e2 7f 10 4b b6 eb 2f +2f b4 3a f1 d0 1e ad ca 23 a1 96 ba 12 5b 6a 78 +57 99 74 c0 ee c8 a5 49 67 71 f6 7d bd 50 69 f3 +36 e4 ef 1f 40 47 42 df c6 9c e3 25 aa 64 9f 8a +63 31 cf 40 35 55 e1 3f 08 10 a7 63 50 a7 e1 8d +29 92 fa b4 8f 39 7f 3b 93 c5 bd 5a 6f e1 d2 c4 +61 8b a1 f5 9f 00 2d c2 57 ec 39 ee 2f 87 62 98 +da 90 f7 44 0a d4 c6 c9 3f c1 14 df 05 + +# Signature: +67 e4 14 99 3f 98 7a 22 64 3d d0 39 e7 f9 fe 1c +ae 74 4a 7a e4 1d 4c 04 4f a4 ed 8d c9 e3 40 ce +bb 1e 2a fb 19 8e 84 7a ef 4b c0 61 fd 80 0d 81 +d4 d3 67 b0 fc 2f 73 09 33 c1 9b 88 d4 dd f0 5e +d9 8a 58 56 de 5e b4 5b 11 6b 7d 24 fe b4 56 77 +84 9d ab 76 e9 e0 cc b4 5b a6 b6 f6 14 1f 37 bb +ad 7c 19 1c 37 77 11 3b c7 38 8e 4e 46 44 ec a9 +47 03 a7 2b dd cc 6f 50 cf 98 0e 3f 6d e3 9d 73 +12 + +# PKCS#1 v1.5 Signature Example 13.3 + +# ----------------- + +# Message to be signed: +56 52 b4 c5 75 20 b2 55 fb 96 f7 0a 30 ab 92 ee +c1 93 99 56 b6 a9 43 c8 3e d0 98 6e 2e 6e e4 ef +bf 8a 52 28 78 67 28 12 03 a7 a6 d1 d8 86 b7 00 +59 52 b4 3b 77 85 44 ed a8 98 e0 df 2f a0 6f 68 +38 03 18 f1 4a 53 fe 55 d7 2f 8c fa 6a f2 1d 93 +bb fc 20 d3 58 c2 08 c5 62 d7 39 be 00 01 ce 07 +fd 8c d2 f4 6c 3b 44 c8 36 51 88 09 b7 6f 3a 70 +cf 69 26 be 06 9c 35 75 d5 + +# Signature: +01 64 11 a2 31 a7 38 94 4b 3e 44 f7 88 5c f8 1a +ca b7 32 d1 73 6d e3 4c 56 cf 40 f9 9a 6c e4 00 +70 a2 0a a9 4c 48 78 44 a9 3c ef 28 7a 58 bc 0e +a1 81 b2 cf 27 d9 14 f2 93 b9 29 77 9d 39 03 6c +4e 5a ae d3 5e ee 8a 7f d5 0e fd 09 6c 91 a8 f7 +2c 3c 14 1c 57 6c 8d 10 b6 36 fc 4d dc 1e 67 14 +f1 7f fc ce 10 6d 22 1b 4f d7 d6 fe 1e 7c bd 3f +3b 08 f5 54 6b 44 d1 fe b7 18 fb c1 33 70 c7 fa +2c + +# PKCS#1 v1.5 Signature Example 13.4 + +# ----------------- + +# Message to be signed: +6d 57 f0 79 a3 e8 ad cb 47 cf 2e 3c a9 76 e0 3b +09 c7 7d 1d 9d 9d 84 84 35 7e 91 23 09 e8 f4 a8 +3c b5 0c b6 a7 38 8c 41 4a ec 84 46 71 ff 81 06 +51 e8 28 10 3a 1f 6a 19 9b e2 60 f7 46 00 02 8c +6a 7b 7b b9 41 6c e7 b6 35 0a 3a 68 05 62 0c f5 +e6 b0 09 5d fa 22 b5 46 01 f6 19 af d1 0d a2 03 +d2 81 90 cf 9b 0d b5 98 6d 29 30 33 69 1e c5 bb +ba 6d 73 ea 32 47 2e fa 3f 16 0f d2 b1 b5 e4 3b +0b fa d3 16 77 30 5f ef 46 72 44 11 4e e1 0f 5c +b2 d6 7b 47 83 23 a7 11 04 1e 29 4c 46 b2 ed 39 +cc de 07 9c 87 7f e7 5c b8 75 14 4a c3 1e b0 31 +a7 38 a4 ce fe f9 1f 01 7b a7 15 23 f5 12 48 18 +cf 48 b9 72 bc 47 c8 f2 ed 35 6f 5b f6 91 fd 94 +67 0b b2 + +# Signature: +31 5c e4 17 d0 bb d7 3e 7c 43 56 79 7e 73 ed 7a +bf e9 fc ff f1 a5 34 28 99 a7 d1 1f b0 d0 54 2b +fc ab 66 de 2e 4e c0 7c 7d c2 be 7d 79 72 90 a3 +0d b8 c4 07 dd 16 37 65 88 a6 dc c1 a2 07 bf 7f +f3 11 54 0f aa 9d d6 f1 9a 73 ab 25 a7 49 6e 68 +2f a8 a7 05 40 81 07 6c 1a 02 15 7b e6 3e 7f 64 +5d e8 2d f7 c6 15 50 3f a8 3b 4e db a2 05 81 81 +2e 09 7f 65 05 6e d4 17 f6 f2 48 03 53 0c f8 18 +58 + +# PKCS#1 v1.5 Signature Example 13.5 + +# ----------------- + +# Message to be signed: +bb 75 44 6f 78 78 23 dd a2 42 2b 1a dc 7d 7f ef +d0 6a 6e 9a f5 c0 49 01 ac 5b 99 91 3a d6 29 8c +9d 1a 33 22 e8 b2 17 e4 e0 99 4c 42 20 42 80 d4 +04 d0 1e ce b5 ec 53 fb 86 f7 61 a3 96 b2 3a e1 +9d 46 79 05 a0 fe 80 50 b8 95 d8 ba 37 46 68 5c +47 43 9f 90 c3 66 9c 70 ff b8 19 94 56 5c 4d f2 +a3 1e b2 a4 52 bc 3c b3 12 b8 14 7c ec 19 10 32 +f3 8f 3b 3d 89 d7 58 2b f1 8e 7b 72 75 fb 4f 16 +ee 89 56 7e 2a 56 bc 73 b3 e2 e1 09 f9 94 0e bd +10 b9 df 2b 88 ac cf 0b a1 8e 5b 34 95 20 d2 c7 +f5 a3 1b d5 22 6d 12 ec 35 bf c9 e3 62 03 e1 35 +06 ba 12 b7 56 c8 ba 00 af 91 b8 5b 0b 4c 07 c7 +f4 84 ad c4 58 c9 26 aa eb 4f 08 2f ec 98 7d 9f +27 6b 89 49 59 7e c0 40 1b b7 1a 2f ea 9c 7b 74 +e0 df e6 aa 52 ac 8b 80 be ea d3 36 a4 9d b2 2f +b3 + +# Signature: +53 d0 d7 95 bb 08 2f 20 01 03 6f 47 2c 2e ce 6e +7d 2d b6 9f 29 2d a7 21 36 75 c7 cb ba 0d 33 b2 +32 12 f8 f4 3a 4a 8e 09 a6 a5 0e 01 9b bd d5 9a +58 89 8c c4 6c 58 a4 6e 42 ce 7b a0 93 fb 46 92 +f3 83 de 33 a9 a3 4f 47 c7 e6 19 38 bf 8a 6a da +a8 8d f2 12 96 b4 c6 7b 52 68 35 f7 57 f2 c2 6c +1d 30 9d 7c dd 5a d5 fd 8f 61 f8 51 ed 23 c4 be +2a bb 62 7d fd 81 7f 84 77 dc 04 2b 6a 2e 40 69 +40 + +# PKCS#1 v1.5 Signature Example 13.6 + +# ----------------- + +# Message to be signed: +88 39 39 d1 49 a5 44 e6 2e f0 4c 61 03 51 a2 df +a2 52 eb 9a 9d 1e 11 ae 54 c9 b0 7e bc f1 fd c4 +7e c1 d9 47 03 41 1d a4 15 f5 9f b3 e5 04 1e d9 +47 0e 7b cc 81 9b 5a fe af 86 0c 01 6e f1 25 bd +08 a6 cb 8b cd f3 b9 3a 51 dc ad b2 f6 8c 8c c3 +77 55 14 28 2a ff 75 67 ec 65 f2 70 d0 2b eb 95 +fb 8f ac 24 09 5e 17 06 e4 8b 52 48 65 bc 14 46 +1d 3e ce 8c 50 1c 3d 80 2a de 98 5a e9 5c fe 1a +b9 d6 b9 ab 0d 15 fc c8 86 6f 7f 25 9c 5e 41 c0 +2c d4 13 43 7e 7d 6b a7 f1 5b 0a 70 da fb d5 5c +0e db 6b 80 75 c2 7c ff 3b 28 9e 6c 99 e9 a8 84 +ff 7f 08 6d a9 f7 5d 6a 4c bb cc af 52 ba 25 c6 +34 2c 38 a7 6b 44 e1 01 15 5d f7 55 e3 9c 14 86 +2e 22 0c a3 6f fb cc 83 2a fe cb a8 7f 8a bd 96 +0a 57 7f 56 ca 6c d8 e9 91 26 65 8f 27 ac 6e 53 +c4 42 ed 47 66 + +# Signature: +1e c0 2a e6 a0 a3 f6 11 99 29 61 ca 27 cc bf 29 +6e 11 36 18 32 e1 ee 75 20 56 9a 9a ee 06 34 5c +da 22 b4 fa 48 fc 34 5e 47 78 bc 3c cd fe bd 2d +c5 a6 c9 d4 84 51 aa 44 1b ea 4b 95 11 99 65 4a +e8 d2 f7 52 2e 17 ed bc 2f 51 ce 15 cb cd 36 6f +49 39 cb 53 c3 b7 70 81 f4 a7 37 50 05 4e 00 b3 +0b a2 fe 58 f6 f0 2e 36 a8 62 54 23 97 db a6 a3 +cd 22 77 70 88 19 e7 8a 2d 87 6a 23 a5 a2 69 d7 +75 + +# PKCS#1 v1.5 Signature Example 13.7 + +# ----------------- + +# Message to be signed: +40 31 e0 de f4 f3 d1 ad 9b c0 82 77 0a 88 a1 d9 +b4 b7 10 75 48 cd f8 46 2b 0b ae 3d 99 4d 8e bc +4d a0 44 b9 05 dd 8e d9 1a 1d a6 76 72 78 22 36 +0e e2 b6 d5 e1 2b b7 03 16 d7 9e 8a bb 82 a6 43 +44 af b3 b2 25 88 5c + +# Signature: +0b e5 a6 d0 43 be 5d 27 d1 d5 1d 9e 3a a6 1d 92 +c9 d8 43 23 11 9b 48 c8 4a 80 38 97 18 d7 a1 aa +f5 7a 9a 0d 21 4f 65 06 48 48 64 df ae 85 db 7b +84 74 07 3a 8f 97 7b 42 b5 3b 40 7e 44 c7 c6 2b +16 8d 1e 77 78 f4 f2 78 57 bf ba 85 dd dc 8b 0e +9f 0e 9a 5b 6d e7 1a 04 43 72 0e 92 bb 88 b0 77 +cb a1 5d 3f 6e 2b e4 d2 7a 7c 50 9c 7d c0 3f 1f +dd 4f e3 38 a4 e5 45 c4 6c 03 45 22 cc c0 d4 5d +4c + +# PKCS#1 v1.5 Signature Example 13.8 + +# ----------------- + +# Message to be signed: +7f dc 96 a4 56 57 74 02 9f ff a9 3b 39 f0 5d ee +9f 84 fa 89 53 fd 0f 63 38 c8 1c 9d ec 6c dd 66 +1f fa b9 6f 0e 08 eb 0b 9b a9 ca 5b e1 7b 57 c4 +b4 86 8f d5 34 11 54 de 50 27 71 13 c7 18 53 41 + +# Signature: +1d d2 1f a4 95 be 7c 49 0f 98 2f 69 ea b1 4e 24 +da a0 4b d1 38 b7 14 32 49 cd cc d7 8c cf c9 10 +6a ca a0 3e c8 76 69 42 32 56 6e c6 ca b9 12 28 +40 f6 69 c8 00 f2 ee 09 2b b9 b6 cb 2a 45 42 a9 +0d e6 04 c4 f1 05 00 0a 3a 0d ec cd 3d d9 7a 32 +61 fa 38 22 7e b3 81 a1 f8 f2 3b 66 65 d2 84 80 +df b7 21 17 88 2e d8 db 25 d7 6d e4 0d e2 fb e7 +2d c3 94 ec 6f bd aa 99 c6 4f ad e7 29 78 a5 1f +c4 + +# PKCS#1 v1.5 Signature Example 13.9 + +# ----------------- + +# Message to be signed: +63 18 32 ab 19 18 cd 02 08 28 e4 7a e2 b4 47 6b +14 69 f2 72 e3 0e 53 e5 96 fb a2 6b 40 29 37 dc +44 c2 ea 57 45 c7 9d 2d c6 4a 10 e1 22 5c a0 b6 +92 9d 49 54 bc 5d 37 40 96 fd 87 8d d1 01 f7 66 +63 13 d9 a8 f8 26 bc 67 14 01 42 2c 1c fe 1a 6d +01 a4 d7 86 4a 14 c6 0c eb c2 f0 70 91 4c ee de +b1 78 2f e5 40 a0 a5 d2 57 84 44 f9 b3 60 34 ec +77 d6 b8 03 a0 c9 76 1b 32 75 92 aa 48 46 63 5c +56 3f 1c 6a 6d f6 8f aa bc e4 97 af 4d c9 a3 64 +2b 75 a4 a2 94 d3 08 56 8e 6d 73 c1 1d b5 67 24 +04 2b 55 c3 a2 4a 7b c7 a1 05 0e 4f 44 8b 6a + +# Signature: +45 d3 a6 ae 8f 48 35 5c 01 2b 50 10 79 ee 92 af +fe 3c 9e 60 2e 4a 08 0c fc 94 72 3a e9 6d ac 2a +66 e4 55 a4 0e 72 8b 2a 1b 27 e6 22 40 55 4e c7 +c5 c0 ad 6a a0 0c 09 22 e5 3d 7b 12 ed 42 c0 87 +32 2d 15 36 e4 6b 7d eb da 80 95 f5 5d 1e 12 bc +24 42 f4 3b 4d 12 8f ee 23 1d cd 6f 8c 37 aa 6b +cf 4f e7 b5 e0 de a9 c6 70 9d 3d 91 f9 e4 2a 53 +16 8a 16 b6 fe 99 7b 5d fe ba fb 46 ed 9a ea 5c +66 + +# PKCS#1 v1.5 Signature Example 13.10 + +# ----------------- + +# Message to be signed: +8b 04 3d 90 da e3 41 66 85 d5 3a 5b 4c 3c c2 54 +cd a0 cb d2 3b 4e 40 8d e8 20 a4 da 7a de 6d d9 +5d 4e 1a 97 e2 31 2c 3e 84 26 1e e0 b6 ce fe 60 +e6 b0 82 fd 59 65 ef a1 64 8f 4f ae 61 60 5f e3 +55 33 27 00 46 96 05 26 53 47 e6 54 7a ea 77 5b +85 6e 5a 46 c3 41 d2 99 52 bb ea 92 70 49 96 3e +37 40 20 8c fb 0b 65 28 57 b6 f5 2e 36 6a 17 0b +e3 4f 13 d3 58 46 bd e6 97 20 46 20 01 b0 9d d2 +68 b8 9b 09 00 31 8e 73 3d b2 00 9e fd 9b 51 77 +41 e5 10 d3 f3 94 f7 ad b5 45 59 b1 57 + +# Signature: +6b 27 8f 36 2c 29 2e ea 09 b9 0b f3 53 d1 43 f2 +ca 09 9f f8 79 57 34 79 df 2a ff 9b 25 0d 1c 91 +87 c6 a3 34 3e a1 4c 07 6f 2a 20 c1 a1 9d b2 6a +ad 35 48 ec 6f b3 b2 fa fc 75 1b 59 08 2d 8b 23 +c8 2c 8a 51 f7 fa f7 a4 d4 a8 23 98 bf be d4 49 +bd e4 ee 9d c8 68 01 60 66 6f d9 c7 74 c6 aa 57 +7b 4e c5 4c f0 d5 bd 9e 3d 1a fa 9c 3b 4b 91 46 +76 78 c9 d4 c4 fe 40 0a a8 57 a3 b0 54 5b df 84 +a6 + +# PKCS#1 v1.5 Signature Example 13.11 + +# ----------------- + +# Message to be signed: +3b 28 a6 09 2e 47 08 98 af 07 0a 08 7c 45 53 18 +8d e6 c3 44 bb 0b 5f dc 7f 66 fb c5 2d c9 3a 8b +92 a3 74 11 20 37 d6 a4 32 86 12 8a ce f9 5a 35 +05 c0 ab b1 af a6 2c 48 cb 21 36 07 7f 8a 0e 0e +0b 5a 4e e9 b2 c7 7d 7a 0c 0b 53 f3 8a 51 cc 3d +b9 b5 83 b3 ae c0 7f 1e 22 4f cb 3f 1d ad 19 5e +05 86 59 a9 d1 1f 8e dc 74 44 99 46 86 ed 62 c9 +75 66 e9 e0 0c bf 8f 0d bc 17 16 e6 b7 f0 f8 8f +e8 9a 86 7a 41 d6 43 13 5a d8 b1 8a a1 43 e7 37 +5d f1 95 29 + +# Signature: +32 62 fe 17 e4 4e 5e cc 84 31 70 d3 ae 27 51 da +1f 48 d6 e9 61 d8 1e 93 59 b0 98 2c 6d 61 30 8e +ba cf e2 60 7c 53 8c 17 0c e0 e7 2a 07 bc 01 48 +7b 29 5c 36 b8 e2 2a fd f6 e7 fe 39 c0 3a 5c 0c +36 61 06 1f 23 fb f5 89 0e ad 59 f8 72 c9 46 cc +e0 f8 16 c9 ed 3a 2c 1e 11 f8 f7 4d a1 e9 7a 39 +0d 53 4d 78 55 78 a2 45 5f cd 87 47 83 f4 57 2a +15 f4 93 7d ca 98 09 3f d0 e9 99 0a f0 00 52 56 +bf + +# PKCS#1 v1.5 Signature Example 13.12 + +# ----------------- + +# Message to be signed: +4f dd 6a 36 31 dd d4 bc 3c 76 07 19 02 a2 27 fd +5b 36 53 b1 f9 70 f2 b7 67 ef 55 4e 1c 75 ca de +81 9d 8d 1f ca 76 bc 10 54 1c bf 8b 1d 8b 0e 72 +55 f9 57 40 + +# Signature: +29 cb a5 b4 3f a3 56 57 75 89 34 91 b1 18 57 8b +14 b5 fa 1e eb e0 c8 07 59 a6 d1 91 e7 c2 13 1e +e1 0a c5 b9 b8 ae 1a a7 d6 96 c9 84 88 a3 5c df +a2 aa 00 6d 91 bf 7e 05 a5 c1 90 9e fb 20 da bc +82 13 3b 62 64 c0 42 18 0c 2c ca 65 45 9f 66 cc +7e b1 ba 75 d1 5d 4f 56 c7 52 8a ab 28 38 e6 79 +53 7a 4c 8d cd 37 d4 b4 ca 82 5c e1 65 fa 4a 97 +15 82 44 dc 87 c0 61 fb 12 00 1e 55 33 fb d4 cc +62 + +# PKCS#1 v1.5 Signature Example 13.13 + +# ----------------- + +# Message to be signed: +59 0c d2 30 50 e5 7b 28 d5 c2 18 5e ad 60 b1 e9 +52 9f 2b d5 26 13 eb 03 f6 ed 1a ef a4 a6 72 88 +d5 a3 a3 4f d9 5c a6 38 94 af 3a 40 cd 68 87 3a +1f 37 e3 54 d3 04 14 29 7b 19 25 4b c6 c1 a3 f7 +a4 75 20 ee a5 6e ff 77 db fd a6 bd 77 79 d0 2f +d8 16 fc 0e 99 91 9f e4 39 5e ae e5 b2 f5 f0 32 +cf c4 33 6f 9c f9 ac ef 74 db bf 4c 9a 09 18 da +65 58 b4 b4 e3 20 9b fc d7 1d dd 59 76 07 b6 e2 +8c 39 85 db f5 2c a7 d1 d7 51 cb 81 69 c0 b1 b1 +3f f8 b6 5b 73 1e 69 dd 2e ff e4 4c 63 6f 2b 69 +95 35 83 1a eb 5e 62 90 2f + +# Signature: +67 eb 89 57 ce 4c 06 f7 39 1d 00 c7 41 24 53 f4 +b6 8b 33 03 a1 29 25 54 e2 a5 fc 72 62 c5 2e 74 +be d7 0e c5 8c 89 50 cd c4 31 5a 8f b7 c6 80 15 +54 cd 35 78 1d 44 fb 5e 57 d6 8d 59 a0 0f 43 b8 +6d 53 b8 43 72 d5 56 e5 a4 15 3c be 6b 39 7c 4c +9c 68 00 70 5d 2f c0 c5 48 64 5e 11 b9 d8 d5 12 +b2 dd 9b f5 9f 3d c5 d1 1c 3c 77 3d 59 cc be d9 +e6 bc 14 32 09 10 cd f8 3b 46 59 01 b7 46 b5 96 +74 + +# PKCS#1 v1.5 Signature Example 13.14 + +# ----------------- + +# Message to be signed: +80 8c b9 76 13 fd 87 85 35 80 1c 80 08 79 15 10 +a5 fe 86 6a d5 b6 84 3a 6e 00 19 a0 fc c2 17 76 +03 54 f6 0c c6 99 fb be 1a df e8 b0 0e cd 6a 36 +a2 b5 a5 a1 fa a2 3d 34 38 20 02 4e 3a 31 97 ae +67 3c + +# Signature: +1c 53 96 59 f8 72 46 99 16 fb 00 07 ef 9e 48 57 +4e 96 4e 4c 0e 6a 2f a7 4b 13 73 fd 60 b6 64 a7 +98 ac 81 29 c0 8c 12 cd bf 37 49 75 0b e1 25 60 +2a 71 54 32 67 67 32 7e 92 ba 57 b5 e2 89 b5 ac +9d 77 71 b4 52 0a 7a 2c e6 6c 5e af 70 4a fc 5a +19 0f a6 0b e1 37 6f 94 3d 2b af 70 52 3e 47 c3 +de fc 0a 25 a6 00 18 31 a3 7a ab 0c f1 f6 48 7b +e3 7f 0e 31 ca 7d b5 ac 41 b5 63 09 57 55 93 69 +ff + +# PKCS#1 v1.5 Signature Example 13.15 + +# ----------------- + +# Message to be signed: +57 ed aa 05 66 25 16 86 f6 52 05 ef c6 26 60 e2 +c2 e0 4f a5 ea a3 30 2d e8 7a 3f 6b 49 1f 7f a3 +ac 72 70 cc 76 75 1a 43 69 42 ac 76 5e f5 f4 74 +91 62 d7 e7 97 12 6b cb 8f da c1 9c f1 8d cc 6e +ff 48 59 3c 05 c8 89 3b 59 1a 51 33 2f a2 6a b8 +63 c5 ea a4 d7 51 e8 d1 b1 9c 58 26 90 b5 41 5e +6a 89 e0 5f 23 1b 33 ac 38 c5 3f 95 a2 d5 f9 10 +51 c2 ec 6d db 2b 6d ba 78 9d 55 3a db 9f 10 c5 +83 59 70 36 d3 48 6f bb 32 17 2a 1c 11 07 9e 5f +09 aa 29 eb 46 74 c8 d7 bf 5b bd 6d 05 7e 6b 87 +a8 b3 aa f4 80 86 d7 21 cb bc 8e fa c6 24 4d 32 +39 ae 18 f1 66 23 fa 52 8e 2e 70 fa 25 65 6a 6a +4a 22 92 95 0f c9 28 ed b8 1c + +# Signature: +33 73 2f cc 23 34 2c 58 51 38 b2 5b 17 c8 12 ee +3e 9d 3d a4 1f 6f fb cc 16 17 a2 ee 75 cc 5b 25 +01 25 4f d1 97 6d 25 88 00 e9 05 d7 e4 4a 0a b6 +fb 4b 8a 88 bb 7b f9 31 73 95 30 3a b2 fc a4 31 +28 48 6a 2b ab 36 c7 5e f6 aa 5e b3 fc 5b d5 55 +b3 ea 79 12 4a ad 78 97 e3 a4 34 de e7 92 63 71 +de 2d 6d 23 7e 89 b0 3b 8d d7 09 60 58 e2 a4 b3 +2c b5 57 c7 ad a2 98 a7 e2 ed d3 a3 a3 b5 29 b4 +d2 + +# PKCS#1 v1.5 Signature Example 13.16 + +# ----------------- + +# Message to be signed: +08 33 76 bb 82 21 2b f8 80 be 12 85 65 3a f2 ca +d6 25 c5 2e 94 e3 21 43 68 77 f7 25 a8 3b bd 43 +f4 48 6d 89 6c f6 7e 31 39 1b 87 06 f8 c0 f8 f4 +bb 1d db a9 5c 33 2f 03 4f 39 09 11 3f 65 56 92 +60 a2 e4 f1 04 06 65 7c 99 fa ff 00 1f e1 6e bb +89 6e 9e 18 11 5a f1 d4 98 6c 85 79 ab 56 52 cc +ca 47 74 + +# Signature: +2a f4 6c 00 d1 d9 15 94 1e 21 2a 7b 8d 81 05 ee +0f 0e c4 80 ff fb b4 f1 3b f2 8d 73 e2 b3 19 b9 +84 a7 b7 c8 36 7a dc a7 ab 12 aa f5 3a cb 98 d0 +cb 54 ee 34 20 4c 90 8e 60 c7 c7 9e fb 42 c3 11 +4a 02 58 9e 1a e6 af b5 97 53 54 57 8c 14 35 ec +c8 9c 11 6e 90 26 b6 bc 88 9e e2 88 ae 4d af 03 +47 cc ce fc 5d fd 1e f8 3c b8 68 52 ee ff d8 40 +98 59 9b 72 5b f6 02 ee 62 0b df 44 af bd 84 c0 +cd + +# PKCS#1 v1.5 Signature Example 13.17 + +# ----------------- + +# Message to be signed: +8c 87 4c d0 ce 33 51 39 c0 8d 76 0b 82 5e b9 90 +5d + +# Signature: +66 9a 8a d7 cb 81 ef 21 87 f5 a8 56 47 68 4b 72 +48 4a ff 27 9f 0a f3 54 35 86 7c c2 b0 43 33 a1 +96 ec a6 cf 44 a9 7a 1b d3 9d 0f 6a 0f f9 59 57 +02 83 5b c8 0a 72 d7 14 04 ef 3f 46 fa 3b 0d 20 +e8 6d 7a 1d 5f 7e fc 3f 3b 8e 8a 7e 37 e8 7e 27 +a9 9f eb a9 6a d8 13 20 be 8f ff 78 55 7d 07 bf +ba e2 16 03 a1 36 8c af a5 ae 1d 1b 63 0a a2 1f +f2 0e 45 85 65 0a 77 3d 7e 2f 5e 7f 51 72 97 19 +3c + +# PKCS#1 v1.5 Signature Example 13.18 + +# ----------------- + +# Message to be signed: +cb 3e 61 21 d3 8b 7d 97 e1 8b a1 5c 49 3d 1a c3 +2e 9d 2e f4 e3 bd 16 df 9c 67 e4 a1 96 e9 24 7a +8d 0c 24 b2 1c 4a b2 3e 77 d6 db 11 7d 59 11 95 +bb af 44 66 82 5f 63 97 8f 11 40 85 28 1b 79 ae +a3 7e 32 c6 b3 6c 1e 9d dd 4a d1 23 6e 97 fd 42 +7b 4d 97 6e 07 64 9d ca 4f 33 a8 9c 46 fb 8c 00 +b4 26 7b 14 47 04 + +# Signature: +56 84 17 80 3a 40 0e 9d 05 0a 43 20 ae 7b 7d 8d +24 8e 16 36 50 86 9d 9f dd 10 0c c1 a6 b9 bc 29 +1c 3f 23 f1 25 60 03 16 4f 61 9d bc 78 63 5e bd +f0 89 49 0a fa 5a a0 0b 6f 97 eb 06 36 c3 bb a8 +9d 86 36 0a fe 26 00 43 d8 61 a7 4f 64 c7 1d 9c +bd 31 ea e2 39 3a 1a f1 56 1f 1a b9 2c aa 76 dd +1e 76 ab 23 33 09 8c 83 c2 d9 9f ae 82 73 98 75 +80 05 c1 76 cb c4 a2 e2 2e fa 0e 6c 12 f4 e3 42 +81 + +# PKCS#1 v1.5 Signature Example 13.19 + +# ----------------- + +# Message to be signed: +21 9a 2f 8d 0b 00 0a ed b5 f1 85 45 5e d3 ea 09 +4c 45 42 6b 28 5b ab 4a 07 cf 3d 0a 29 06 f3 e2 +03 18 4c 2d 3d 81 a8 09 b8 9c 9f c4 8b c9 af 9a +b3 2f 84 f1 5d 81 38 9c 4e db 0a c6 8a d0 95 02 +e3 f3 0c 7c f6 45 10 29 54 b2 97 c8 66 14 66 fc +10 + +# Signature: +03 83 5d 90 57 e2 b8 21 dc 4c 6e ac a3 f4 15 6a +56 55 0b 6f 9d 74 00 fc 5c 51 95 a4 ae e4 71 7d +f3 29 29 12 2b 43 27 3a 07 9a 24 f9 9d d9 e7 c3 +40 56 ae a4 fc 4e 45 7d 83 14 ef 34 42 7f 8e 20 +4b 81 bb 49 03 fb 3e 77 9e 38 9e 41 33 90 68 c1 +57 d9 b0 9f 2c 5e 99 cc 54 e6 ef 86 ee ac 0e 19 +f4 4e 33 e7 07 c4 26 1a 0a 83 ce b4 22 f2 e0 6b +cc ae 3b 8b ba 42 8d 75 57 15 2f 40 84 6e c0 11 +34 + +# PKCS#1 v1.5 Signature Example 13.20 + +# ----------------- + +# Message to be signed: +e3 9c a4 0d 2e 9d 03 ae 05 96 f6 0e b8 f6 09 99 +30 85 a5 db 15 6b 0d 50 98 fe 5f aa c5 5f 70 99 +3f e1 76 d2 d0 c0 38 b8 60 bb f9 a6 62 43 f5 e7 +8e 6c be 52 6e cf 25 12 8d ae 31 96 56 cc 32 1e +e8 0a 50 53 14 90 c9 a6 24 3f bd b0 c5 eb 4c d6 +42 d2 61 15 05 ae 10 84 97 57 38 ad 84 62 1d 67 +f5 + +# Signature: +4f cf a5 73 97 f2 7e e0 f8 ae 75 a0 a5 4d 54 b0 +c5 1b 95 7e e6 3b f7 90 1b 60 55 cc 39 87 c3 2d +f7 22 0e 16 6a 71 60 6a bc 78 f9 11 07 f9 74 df +f7 d6 25 7c 25 6d c6 ed 7a 69 c3 c9 9f 9f 89 ab +b5 8f e5 89 b7 ee 7c ad 0f 48 c1 60 10 d0 46 a9 +c4 e0 04 bb e1 a8 29 79 68 d4 0b c7 06 82 eb ae +a4 48 52 5d be e1 6b 03 bd 0b 65 26 d0 98 d0 9b +6b ad 9a ba 03 93 05 e2 ab 79 69 02 08 65 80 cc +f0 + +# ============================================= + +# Example 14: A 1536-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +d8 70 a7 76 cd 13 ed 44 3d f3 99 08 be e2 ca d7 +3c 48 5f d9 bf 06 32 13 22 88 7f be 65 5c 08 cb +e4 c8 f6 3e 25 4f c9 1c 75 f0 55 7d 90 1d 43 5b +0e 8d ed 82 d4 91 73 41 4d 29 86 03 24 e4 6c 1b +03 0d fe aa 29 d8 0f 98 98 c2 c5 e1 01 cb f6 da +a0 62 89 78 d4 15 b5 02 de a2 6d e6 56 1c 79 ab +06 5c 6d ca 6a bc 4d 4d 4d 5e 9f 5c 74 cb 3e 6a +5a f7 1d 1f 90 fa 5e aa 1b e0 ca 94 7a 70 a3 9e +fd 31 5c 4d f2 1a 1a 82 1c aa ff 8d cb ad 13 b2 +9c 7e 82 aa d5 3c 64 f5 82 ec 9e c3 1e 6b de 82 +ea 5a 5f 4c cc f0 c4 57 b8 88 f1 55 0c 4f f8 e1 +c1 78 a7 6a 46 c1 96 f4 be f5 9e 61 dd 94 4e 47 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +d8 70 a7 76 cd 13 ed 44 3d f3 99 08 be e2 ca d7 +3c 48 5f d9 bf 06 32 13 22 88 7f be 65 5c 08 cb +e4 c8 f6 3e 25 4f c9 1c 75 f0 55 7d 90 1d 43 5b +0e 8d ed 82 d4 91 73 41 4d 29 86 03 24 e4 6c 1b +03 0d fe aa 29 d8 0f 98 98 c2 c5 e1 01 cb f6 da +a0 62 89 78 d4 15 b5 02 de a2 6d e6 56 1c 79 ab +06 5c 6d ca 6a bc 4d 4d 4d 5e 9f 5c 74 cb 3e 6a +5a f7 1d 1f 90 fa 5e aa 1b e0 ca 94 7a 70 a3 9e +fd 31 5c 4d f2 1a 1a 82 1c aa ff 8d cb ad 13 b2 +9c 7e 82 aa d5 3c 64 f5 82 ec 9e c3 1e 6b de 82 +ea 5a 5f 4c cc f0 c4 57 b8 88 f1 55 0c 4f f8 e1 +c1 78 a7 6a 46 c1 96 f4 be f5 9e 61 dd 94 4e 47 + +# Public exponent: +01 00 01 + +# Exponent: +05 88 8f c7 7a 43 bd a7 a6 7b d1 58 47 65 0d f1 +85 c1 85 ed cf b3 ed 58 ce e3 b5 7c 5d 24 06 b7 +8b c0 55 87 4e 35 e5 7a dc 4b 0a 2c 7d 20 3a 66 +1c 0f a5 d8 57 ed e6 07 ef dc 95 68 04 2b f0 d5 +99 f4 e4 23 5e 91 7f 08 94 33 3a 92 df 94 62 d9 +c1 0a f3 df ca 70 49 a1 ea a6 35 70 13 98 83 c5 +be fe be e4 e2 21 89 43 d3 0f c6 45 ff e8 b9 14 +d2 18 dd 58 96 0a ad c1 21 71 5b ce 5c cd de 4a +2c 73 a8 d9 d8 6a 4e b6 e4 55 dc 92 4f d7 4a 0b +1f 75 69 1c 28 1b ae 91 4d 69 9e e2 59 d8 5c 5f +b5 dd 99 9e be f9 b7 0a 4b d9 4a a4 fa fa e2 6c +a7 84 d3 2f d4 e0 77 db b6 ea 69 3b cd 6d 27 d5 + +# Prime 1: +ff 8e f1 e7 4c 44 5a 5c c8 97 3a 81 9c 75 45 49 +12 35 72 0c f9 eb 83 f1 81 13 3c 78 a1 4d cc 4c +e5 e7 75 be 3e 0c 46 ed 2f 21 9a b8 8d 87 77 ad +6e cb e4 0c f9 18 76 4d 7e 37 c6 68 35 91 e7 aa +a1 3b 24 4b 7f cc 0e b6 df d7 6a 11 5f 30 ed 2d +63 68 c8 ea 78 0a 21 1c 0a c9 c0 72 5d fa b0 8d + +# Prime 2: +d8 d0 67 64 c1 f7 64 54 c6 8a 3a 08 1e 95 d7 47 +c2 94 11 ad c4 03 a7 cb 71 b4 3a f5 05 ca be 41 +b4 9c 97 1c 13 ad 65 63 b8 c9 0b 93 b5 89 79 bb +74 f8 20 ef b8 de d8 1f 46 30 54 a7 7f b3 0b b0 +99 98 51 a4 3c cd 01 69 18 51 31 f7 43 1b 02 e9 +c6 b9 f8 38 71 d9 cd 5e 0c 3c 58 70 cf 97 97 23 + +# Prime exponent 1: +e8 d6 15 f4 04 7a aa 51 aa b8 8e 27 94 a3 0b d3 +3d 71 d0 4d 9e 4e 43 d2 7f 25 45 8d 2a 79 b5 4f +c2 8f 95 a9 14 e3 1e a3 ee b3 11 42 60 40 32 7b +a3 5c c4 94 45 47 52 51 dc 53 78 c3 6d 3b 57 f5 +10 1c d0 3e b1 5a fb 75 06 90 3f 25 40 b3 55 04 +6b 74 06 ca 09 40 41 56 49 45 f3 be bf 7d 2d e9 + +# Prime exponent 2: +73 5d b1 26 73 ef 67 7b 94 89 48 87 b9 7e 91 a6 +a5 6a 94 5d 99 c7 38 29 90 bf 0e 00 02 ac f6 bf +8f 93 22 f4 d5 a3 96 27 91 d3 a8 4d 58 73 66 4a +d0 da 96 eb f7 ba db d5 08 4b ff 3f 81 3b 8c 24 +d4 15 b0 9b 6b 9e c9 f9 59 ef 1a 5f 2f 5d d8 16 +fc 9f 47 ed 00 e7 9b d7 47 3b 74 f3 d2 02 1f 71 + +# Coefficient: +10 62 18 af 97 1d 92 95 91 59 90 a4 ed 3e 09 d3 +63 db 33 06 b0 90 a1 33 eb d7 54 e2 bd 77 6b 25 +85 99 9d 4f 88 43 03 0a c7 0c 0f f5 de 52 12 67 +22 34 c0 07 ce 74 56 4c 79 1e dc d5 76 f9 68 44 +04 8c fa 66 36 46 b8 fd 80 c7 51 26 b2 26 6e 48 +f1 fa a7 05 44 ad 42 04 fd 61 56 29 2e 51 6e 13 + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 14.1 + +# ----------------- + +# Message to be signed: +f7 a3 c6 7e 92 a7 87 f3 5d cc 47 ae d7 d6 b6 19 +29 67 bd fd 00 a6 ac bf 6f 7e fe 46 d3 ac ae d9 +78 8a a4 f1 db 18 44 02 24 9f 9a ce fc 1c 7d fb +1e 69 0d 24 73 8d e8 6f a5 b5 25 0f 97 9e bd 8f +77 8e ec 0d 7f cf 73 1f a2 25 08 6c 86 65 64 ed +3e b1 54 dd 45 8d 05 00 28 2f 86 80 48 87 d4 43 +5e da 9a 44 36 a8 e9 23 a2 0c b4 b4 d0 e8 1c 91 +11 4b dc 06 82 27 8e c2 58 86 07 99 b5 9c 94 36 +f4 3a 53 ca b4 c4 cd + +# Signature: +09 d1 43 5b f5 a9 c1 72 03 d5 37 fe 57 df 98 7b +7a 51 f3 4b 2a 14 09 7e 06 a0 de 56 3b e7 d6 4b +4e a3 79 73 b4 fe 99 73 a6 6a 3f 31 ba 8e 07 e9 +11 7b 6a 1e e7 09 61 33 7b 4d 2b 0d f5 98 10 b6 +24 08 51 18 bd a7 0a c7 4a e4 3e 2f bc f8 92 27 +63 03 23 da 68 30 f5 b1 a2 b9 54 f1 b1 5a ea 07 +54 df 2c 51 18 57 95 16 e8 77 cc b0 b1 28 6c 57 +24 65 5e f8 d2 91 85 66 6f 6e 9b d3 2a 6b d9 ce +9e 1e f9 47 29 fc 67 d6 a3 0e 64 56 0e cf 78 bf +8e 1b 2b 40 e5 06 05 e2 5a e8 0c 38 67 64 ae d1 +1a 0e 71 44 90 49 c9 39 b2 96 2f 6c 24 17 a3 58 +cd c8 10 6b 12 b1 a5 58 76 39 43 8a f1 a6 8d 32 + +# PKCS#1 v1.5 Signature Example 14.2 + +# ----------------- + +# Message to be signed: +2a 13 30 03 ab 67 cd d2 e8 3b 44 e9 e9 dc 77 7d +e0 1f 4d 23 3d 22 e7 d2 b4 46 7f 04 81 2a 3a eb +ff b1 0a 09 24 54 e3 3b 9e 70 28 24 93 28 74 7e +a1 4a 11 c7 98 ac 2e 14 6e 4e 49 65 9b a8 60 67 +db 64 e9 bd 80 a7 02 1a ab cc 22 85 6e 81 01 40 +c2 0f d8 c6 52 7b ad bb d9 fa 59 53 fa 77 e6 85 +87 00 be b6 c7 4d 5a 46 3c 9d a8 61 13 3b aa 5b +d6 a5 99 80 7a e9 16 2e 3a f3 a3 48 d0 4a 4e dd +2f fb ab + +# Signature: +35 e6 66 cf b8 7c 04 88 a8 6f df ed 5f 9d ea ed +bc 46 74 17 1c 31 84 59 ac aa aa 20 e1 ca d7 c5 +86 04 14 0a 80 ff 7f 56 5b fb c8 6e 90 32 8d 4c +72 9b 91 bf 72 a9 8d b7 01 c1 be 63 8a 6e 8f 2e +46 8f 20 39 24 70 c7 c5 c3 44 42 d5 1b 1b 15 5f +b4 64 b8 a5 56 f4 a1 70 c0 23 01 fe d0 d1 aa 92 +aa fd eb c3 f1 8e a8 b4 d7 1e 24 5c 25 26 f6 fe +66 5d e4 83 85 f4 6c e1 bf 33 12 fa 89 28 09 8e +d3 31 2b 61 11 6c a7 e4 23 20 4e f0 8b d2 df 3a +d7 bb c8 50 09 8c b0 26 83 26 66 25 bb d9 59 82 +51 35 a4 5f 03 82 9d 09 6f ed 18 b2 0b aa 3f 9d +44 b0 07 aa 24 1f 92 f8 88 60 55 d9 8e 0e 07 04 + +# PKCS#1 v1.5 Signature Example 14.3 + +# ----------------- + +# Message to be signed: +58 62 7f fa aa 8e 80 0a 8b e9 8e 42 f5 1a 83 61 +1c fa b7 ee 37 6b 34 73 7b 3e 48 e1 bc 17 42 da +a7 7d e4 7e 1a 9b 29 33 77 aa + +# Signature: +3d 17 cb 38 6c 88 78 4d 35 9a d3 c3 8d be 88 8b +fa e8 31 bf b8 ed c9 d0 e8 01 e7 d6 9e 1d d4 c2 +44 1d 68 fd bb 35 12 6c 73 a4 ed ab bf f5 4e 74 +fa 51 09 da d8 b5 c3 13 d8 6a 79 e4 d4 12 76 60 +fc 2a 8e 1c 93 fa 8d 09 2a cc f0 1c c1 8a 60 6c +f0 7d e2 dc 3e 7b 55 33 11 52 db 01 b6 ca ea 1e +ce c9 09 31 99 be 62 c3 e1 23 e2 87 31 13 50 3b +22 03 0f 16 8d af c4 e6 bd 06 5a d2 f6 b1 de d0 +5b e0 c2 f9 b6 7b dc 1a 3b b1 8d a9 59 4c 95 7d +a4 e4 9f ac 3f e7 6e 07 66 f7 4e b0 d5 23 e4 dd +1a e7 59 da d6 b9 b9 08 b7 fc 8b 97 ef 5f 4c 82 +92 32 0a c3 87 c3 50 8b 54 cf b8 5d 34 f6 ad 39 + +# PKCS#1 v1.5 Signature Example 14.4 + +# ----------------- + +# Message to be signed: +0f 0f 8d 3c 0e 4d 26 08 af ad 5a 88 8e a1 4b 3f +6b 2b 27 89 dd 22 12 b8 59 09 e6 4b fb 10 4d 0f +7d e4 27 d1 4a 9f fa 85 5e 2d 4c a2 44 23 36 e5 +59 56 8b 28 41 5d 60 cf 80 63 de 55 92 17 1b 26 +9b 3d 76 33 51 c7 f7 d9 d2 58 09 e7 02 20 ee 30 +fe 8a 00 b9 5d 4c 20 20 26 89 7e d2 c6 1d 7a d4 +3a ed df 36 b5 c2 cb e2 1e 00 86 db d0 fd fd 19 +e4 3f 02 77 f3 bc 95 ed 55 a3 4a f9 30 91 66 02 +19 3c fe 04 51 4b d2 6a 05 7e 56 2a 11 90 c2 7e +aa b6 c3 22 fc fa f4 bb cc 7f 20 c3 77 9c 63 8d +7b bc 07 08 6c f7 5b f8 39 96 db 44 63 + +# Signature: +50 90 45 12 36 10 50 87 2e ae 80 10 26 28 b6 3d +02 16 8d ca 52 f0 ab d8 77 20 ea 48 05 0d 2c 62 +06 1a a2 15 32 68 be f8 ef b3 4e ed 46 17 1a 62 +88 e5 04 d4 20 f6 fc 14 51 38 61 1e 75 ed 3c f7 +9b 4d 10 26 64 d8 64 4f f3 e9 e5 db fd 71 cd c2 +7a 21 0e fb 10 be 90 27 56 04 f8 d4 49 14 8b 3f +86 09 90 39 c3 3a ef 90 bf 19 1b 35 18 eb 45 9d +a3 ba 14 fd 0c 72 22 9d ea 5f ac 2f 7d ad e1 08 +5c 8a 23 70 bb fc fa 2e 3a 9e 63 ca 22 4f 6d e8 +c8 d2 97 a3 b1 f0 6f 1f c9 49 78 90 fd 0e 0e 13 +88 7f ac b1 52 d1 2d 96 39 25 28 ef 28 d0 72 43 +31 ff 41 40 30 c7 a6 38 55 81 3c cd 89 fb db 1b + +# PKCS#1 v1.5 Signature Example 14.5 + +# ----------------- + +# Message to be signed: +26 65 cb 5e e3 6a a9 bb 1a 5c de 7c e8 + +# Signature: +4f 38 c2 ba 84 c5 0d 46 df 53 10 91 b6 27 12 14 +9c 1f 42 db d7 7e 03 d1 85 ea 96 ed a8 02 33 7c +22 c1 13 0b c3 be ce bf 15 39 fd 11 89 38 51 da +e3 cc 15 67 cb 6c 73 a7 2f a1 c9 69 48 68 21 12 +7e 7c fe a1 36 3e ee 95 2b 7c 6e b5 9e 10 2c 66 +57 c0 80 35 27 2c df 4a b5 e5 83 ed 73 7a d0 28 +ac 1c fa fe dd c9 07 3d fb d7 d3 ba 3d a9 e8 dc +d8 46 fa 36 5c 9c cd 8e 9b 39 48 3d 37 07 3c 1a +7b 78 2e e7 12 1b b1 a2 ad 8b f5 f8 ed 6e 65 3e +92 4d eb ad 87 1b 74 43 39 e5 ae 7e 96 f6 0d cc +45 ea 5d 69 7d 3b 1c c7 c5 e8 da 04 e9 2b e0 6c +ad 2e 61 4e ac 31 8a ec af 12 d5 a7 62 34 c2 c0 + +# PKCS#1 v1.5 Signature Example 14.6 + +# ----------------- + +# Message to be signed: +7b 7b 61 61 02 0f af b4 88 71 63 21 34 0d af 2c +06 ac 43 ce 21 32 86 86 84 aa af ab 13 99 65 3d +35 3b 26 93 ad 73 cb 55 b7 1d 66 ac d0 1a 16 0c +bf 74 37 67 bd 96 e7 fd 1c 7a 13 32 06 65 bb ad +1c 4a 0c ed 26 59 3c e8 9c d8 2f 54 6b d4 d1 b1 +bc d8 2c 65 a4 66 f9 9d a0 12 a4 1e 8c 41 20 69 +81 09 58 47 5b 4d 9c 2f 80 d8 2d 06 41 4c 83 25 +eb 4f 2c 5a 11 66 f1 f1 d2 d1 07 d4 8c + +# Signature: +d5 cb b6 c7 ef f4 a6 3a d8 25 0d e9 4c c2 9f 7f +31 a0 d7 10 6d 5d 77 1b 71 5d f8 a6 75 fd 16 34 +d6 e8 ab 58 87 5c c4 c1 51 7b 2f ad f4 e8 5c 1c +b8 b8 53 60 e0 68 75 87 d1 48 08 9f 3f 48 b7 9d +98 d2 02 7c 50 77 0b 33 4f 12 52 ac 0c 3b 2f 03 +65 34 c3 c2 97 22 f6 08 7d 06 d7 06 ce c7 c4 bd +ce 1c d6 4f 7b 4e 07 99 a8 7a a0 73 ea 83 20 29 +2b 8e c8 27 17 40 6d 36 ef 91 25 e4 1f b5 d5 3b +cc dd 62 2d 38 8f cc ee 60 a3 85 ec 20 6a 71 5d +c5 4d 78 77 bd 72 85 d0 84 4c 25 d5 93 77 97 91 +27 83 96 ff 9a 8a 91 30 6a 54 ea 76 60 7c 81 3f +80 1f 38 76 0c 3a 81 4b 93 96 95 9c 29 db ff 9d + +# PKCS#1 v1.5 Signature Example 14.7 + +# ----------------- + +# Message to be signed: +2b 0a d6 13 82 28 78 a5 72 e1 42 80 + +# Signature: +89 c8 10 84 da a8 f9 14 b7 e2 44 55 10 74 17 ca +62 1c 91 02 d5 01 ee b4 3d 17 4c 7b ad 38 1d b1 +8d 95 33 c3 41 1a ec 60 57 ca 5a 4d fd c3 f1 31 +c8 88 b8 8f 01 30 03 d6 17 e0 6d 64 47 95 02 ae +7e 42 4a 5d d6 37 b0 33 56 40 4d 26 0f 5e d6 b8 +cb 16 d2 57 85 28 cc 3e 85 00 34 6e b7 90 bd ad +41 b2 e3 6c a6 f1 98 85 e3 f6 f5 10 86 bf fb 6a +bb 9c 66 33 6b 49 47 34 64 c5 d7 ed 8e 9f f8 5e +11 ae ff 40 90 67 ba b0 a0 5c 41 e8 15 1b 8b e9 +87 f3 f5 95 8e 3e 6f 26 51 5d 96 bf 23 4b 22 ab +91 c0 85 7b 6c 08 a4 6b 03 05 fe 04 4c a9 aa a0 +d7 0a 27 58 a1 ce 43 16 64 a8 dd 79 40 8c 16 ba + +# PKCS#1 v1.5 Signature Example 14.8 + +# ----------------- + +# Message to be signed: +36 93 8c 8c 7c 6f 7e 35 52 34 db 5a 32 a6 48 10 +db 50 2b 67 c6 f5 92 54 4f fb 27 eb 1f 22 e0 6f +2d 63 8b 56 d5 d2 f7 d1 9e 9e 27 1f 2c c9 0c c0 +dd 36 d6 cc 2c 06 17 8b cc 70 6a ef 20 e5 6a 35 +8e 52 4f 63 16 76 9c 54 b6 de 2d d5 + +# Signature: +a0 37 53 a5 fb 54 aa 51 f6 dd 8d ab 91 f1 9c b8 +65 56 84 85 f8 55 8f 0d 10 3f 0d 2b 6d 78 53 6e +79 c8 15 c4 a0 37 bc af 11 b6 9d 4c db ab 03 5a +be 21 6f 71 52 f6 30 ff c7 9f 84 9d 8d cd 46 3a +ae 6a e9 7d 3d f1 5a 9e 73 d2 3f 18 78 fa c7 54 +cb dd 57 1a fe a5 d2 53 57 d4 b8 83 45 f4 89 be +0d 67 b9 bf ad f0 23 f2 6e 67 31 5e d5 fb f3 91 +91 0a f4 96 9b 72 4b f0 ca 31 c1 05 9f 8a 39 13 +b4 8a 13 81 9c 23 6c 9b e8 e8 24 ca 4c b6 19 fb +7d 78 4c d5 f9 52 6b 39 7c 76 c5 d0 c6 0c f7 f4 +8d 11 19 6e 54 f7 2a 08 bb 42 f7 5a ef e3 8f 0b +91 b4 2b b8 06 de 4b 87 c9 08 2f 72 1a 68 80 ca + +# PKCS#1 v1.5 Signature Example 14.9 + +# ----------------- + +# Message to be signed: +60 83 0c 01 cf a8 6f f2 dc ac 7a f9 32 1e e5 fe +50 2e 0e 7a 6f ac b7 3e 3f 6b c9 02 64 0a 61 09 +5f 64 6f d0 3e 80 d5 81 82 46 53 31 e7 5d 66 11 +a0 97 76 81 62 70 86 24 17 29 de 9f 44 ab 43 94 +9d ac 19 36 73 bd 6c f8 7f 5d 65 77 1e f8 72 81 +63 3f dd 07 ba c4 09 a6 e2 32 b6 01 ae ce 2d + +# Signature: +40 58 f6 e0 24 0d 85 1d 61 93 95 a7 52 87 a8 8f +af d8 dc 56 00 b0 69 bf 19 dc 3e 19 21 e1 17 b4 +97 b8 2b 3c 52 02 69 b1 d1 12 81 64 fc d8 8d d2 +b4 6d c8 5c 42 ec f6 7d eb ad 21 a3 b9 a1 55 42 +fe a2 26 06 ea b5 82 fc 32 97 11 ff c0 7f 4e ef +1f 3b bf e0 88 8c bc a4 85 ba fc 11 88 b0 af e8 +09 c9 aa f8 fa 36 66 b9 c9 05 85 39 db 1e c6 a1 +8e 5b e0 b8 01 44 d2 c3 7c a6 14 c0 90 b4 a7 f1 +34 58 e0 d3 a4 cb 0c b7 3d cc 4d 90 80 6f 61 08 +58 89 eb 5c 9b 14 09 de f3 60 fd 1c 2e 49 43 8d +7c 67 d7 9d bd 9a 59 2a b5 04 c4 71 5f 65 b2 9d +84 65 09 95 15 69 a8 c3 79 09 f5 d5 50 ee ff fa + +# PKCS#1 v1.5 Signature Example 14.10 + +# ----------------- + +# Message to be signed: +63 5d 22 03 ed 9d 5b 91 20 e3 1b f6 9d 30 5b e6 +06 86 97 e3 5c e5 9c 55 3e 50 8d c7 7b 07 3f fa +3a aa 59 f9 96 c3 0b 2e 68 63 23 81 9f de 22 be +6c 8d 53 86 84 14 b3 54 5a bf 43 57 68 a6 11 f0 +c1 a4 79 a0 c7 66 0d 53 5e 80 5b 5f ed c3 77 9c +f0 c5 2c 3c d0 40 ab 65 14 c7 f8 13 3d 47 b0 ac +c6 91 4e 6d 4a d3 c4 73 7c f5 12 91 09 4e 85 94 +33 ba 30 66 e1 9d 6a a2 da 89 6d c9 d9 5e f9 e5 +63 6d ab 35 f7 29 87 05 c6 d8 76 17 54 12 f8 84 +25 19 ff e1 6c f7 43 62 ab + +# Signature: +94 61 a1 a8 41 42 3e d5 cf c6 08 9a 74 db fc 53 +73 11 03 bf 49 85 dd b1 50 b0 e9 38 0d 3f e0 cf +6d 45 7c 5c 68 a7 f2 55 04 02 2d 69 5f f8 42 11 +8e bf 61 02 2f ea 47 fa 45 f7 c1 cc 72 6e 1d e5 +0b d0 64 b3 bb 70 16 57 16 2b 88 c0 b9 10 fe b7 +2f 48 7a 5c 7f 4b 9e cf ee 24 e0 7a a2 d1 98 d1 +13 cb 84 5d 81 7b b5 9b b1 da 24 a8 2b 91 c2 fe +3f ba 89 51 83 cb d9 c0 fe 0a c0 be 64 fe f2 e0 +13 92 05 b1 0b ca bf e5 a3 a7 a8 90 fc 0f e7 8d +ab e1 ad b5 bd 11 44 85 03 cb 0d cd 0b 68 f1 60 +19 6e 96 13 e2 9f be 9a 3f 94 06 ec 20 c0 30 e8 +1e c3 09 65 ea 01 9c 17 aa 97 11 01 c2 e5 30 59 + +# PKCS#1 v1.5 Signature Example 14.11 + +# ----------------- + +# Message to be signed: +87 fb a9 89 f3 cc 15 af 7e e7 61 c0 88 26 4a b7 +71 52 39 e0 b8 c8 a9 e4 8e 11 db 68 03 31 39 c2 +a2 89 ea 42 6e be 26 9f 5f b7 07 09 0a fb 89 1a +49 ca 05 c0 55 0d 72 9b f4 d3 7c 8f 1d a7 a3 ca +2f 43 87 a4 0b 5f 79 13 a3 85 f5 5b 81 41 af 36 +be 8f 57 16 65 f8 57 e7 7a 5c 9c cc e6 ba 8f 2b +e4 63 23 cc 56 91 56 6f f4 b6 d7 85 43 04 b9 3b +ba 1a 17 59 df b1 44 c9 54 7c f2 bc 8e aa ed aa +4f 1d d2 52 82 3b 72 87 ca 55 5d 21 06 08 9a 24 +3e 5d fe 8f c3 1d 3f 46 22 2a 68 ab af 31 81 5a +94 7e 58 57 cf 6a 33 17 0e cc b6 a5 e0 6d 23 cc +9d 48 ea f6 cd bc + +# Signature: +0b 5f 1c fc 25 3b aa d4 b9 83 f8 fe 05 0d 4a 01 +7c c4 66 98 0e bd 23 c9 d5 53 43 f5 10 7e 04 1e +b6 54 78 10 fd ba 46 86 e6 10 83 2f 92 82 ed f0 +66 04 b0 ab fe ea 38 01 32 79 17 79 40 99 7b 28 +90 2b 14 db 37 9e eb 4f 44 00 5d fc b0 03 68 03 +c9 f1 25 bc e1 f2 a8 2c 4d 30 07 ae 96 b8 48 b8 +13 ec 8c 97 ca 3f 71 0a 9a e0 db c2 8a 55 e0 58 +81 b8 58 db 55 71 20 f3 3c 59 cd 43 60 f9 20 8c +74 b2 7e c6 5d 11 ea 41 fa 6a 9e ac f2 a6 11 68 +ad 07 c2 09 94 8f 35 a1 61 f4 1f 87 54 0e a1 82 +84 aa b8 d8 f9 78 61 31 f0 43 90 2b 89 c1 7a 56 +0d 90 94 64 47 5a 0d fc e5 89 09 18 7c d6 e4 46 + +# PKCS#1 v1.5 Signature Example 14.12 + +# ----------------- + +# Message to be signed: +4b 5e 80 30 5c be a9 0d 63 7f db 23 47 c6 fe b6 +78 42 eb ac 6f 90 3d b5 a7 1e ba ab 8a 1c 2d f1 +12 60 a1 ec 90 7b 8b 63 4d 37 d3 6e d8 de 7d 0d +a1 03 bc 4a 9e 93 3f b7 bf ee 59 1c c9 33 29 9f +ee 46 0f 35 42 c9 78 f3 07 ae 05 24 64 f3 06 20 +ce bf 3c 9a 9c b6 a9 01 53 0c 1d 56 13 df 07 74 +31 2d 4b 5f + +# Signature: +b6 f0 3d 35 33 50 07 a7 47 ae 68 67 60 f9 ed ad +08 89 d2 d4 ca 0c b8 8b 67 43 12 d3 2c 55 2b 7a +66 c5 a9 52 8c 01 4b 58 c8 49 f2 31 a2 e0 45 68 +2e 3b bb 14 c7 f9 5f f8 bd b6 58 7f 25 11 cc 6b +f9 24 39 60 08 11 03 d4 7e 77 69 a1 77 eb db 91 +f1 28 73 de cd 5d c0 67 e4 5c 2b 2a 04 4f fa 3f +bb 04 c2 0a 3d c2 01 38 40 3f f2 5c a0 eb ad 96 +e4 85 9f a4 a0 d7 32 85 2a f3 50 a2 75 69 9a 94 +aa 6e 47 f2 17 e3 83 ef 8f ce 8e b6 ee d7 82 6d +7c 61 58 fc 58 82 e4 61 35 45 fa 26 ee e0 c9 f9 +3d e7 a1 65 08 ea 16 19 70 46 0d 6a 7c a7 70 f8 +de 8b a9 3c ea f3 97 dd f1 fb ce e2 82 a1 53 7d + +# PKCS#1 v1.5 Signature Example 14.13 + +# ----------------- + +# Message to be signed: +e5 ad 62 7f 24 f4 11 7a 0a 6b e4 a5 5f db 88 3d +75 a6 73 12 15 4a 71 89 23 d0 e8 f5 73 0a 54 d8 +ca 7c 97 4e 4d 59 33 8b b5 71 30 5c ce 99 0c bb +cf a9 1e a9 b7 73 b8 3d 7a 1f 0f fe c4 c6 b1 43 +fe 05 05 8b c9 0c e1 46 f3 69 cb ae 3b 3d 99 70 +5e f4 3d 07 21 b8 + +# Signature: +73 29 86 d4 ed db 8a 7e 9b 65 dc 01 6d d5 71 ef +ab eb 84 49 0e 88 e3 e7 3b 63 e8 0d 1c c8 6a 45 +2d ec 29 fc 81 7e 8a d4 ee bd dc d9 7c 74 5b c4 +79 7e 54 fe c6 ac e2 91 b1 96 dc 24 65 f0 8c f1 +dd d2 17 e7 7a af 7d 50 98 77 91 de 81 b0 41 10 +d1 1a b8 55 89 06 60 4e b9 d9 2b 35 f9 00 75 af +42 28 01 45 b0 88 e8 75 3d 0d b7 3c d3 a3 2b d1 +9c ea 35 38 ee 4f 09 27 3e f6 6d 07 05 d4 5e e7 +10 9f e5 95 df 55 76 7b 3d 10 81 72 27 bb 6b a3 +95 75 b8 5d 6a 35 a2 ff b8 8c b2 67 db fc 28 2b +b8 a3 de e0 2e c7 7b 0c b8 13 55 70 f8 a7 d7 ad +04 34 1a 08 64 e6 7f f6 fa 02 59 a1 69 74 c8 6a + +# PKCS#1 v1.5 Signature Example 14.14 + +# ----------------- + +# Message to be signed: +03 e3 9b a7 a8 0c 77 14 16 d8 52 63 e4 d4 3c 63 +93 df e7 96 52 3b 89 e0 a4 61 62 88 80 80 0d 8f +c2 43 1b 66 30 54 09 e0 6c 95 ae 7a 17 d5 34 b1 +e8 4c 19 9d fe 73 1d a9 49 f1 64 57 1d ec c8 b1 +66 be b8 dc 08 7c b4 86 99 98 c2 + +# Signature: +60 76 3b ea f7 c3 e2 2b 3b 22 dc 44 d9 47 82 6e +23 fc f9 6b 01 b7 74 1b 24 b1 b9 d9 3c 07 f0 c6 +4d 39 67 98 bb 58 9b d4 25 29 53 69 bf b8 79 ad +d3 42 cd 76 28 0b 57 e6 35 4f 61 95 e8 42 fa 2a +95 f1 c4 6f 0b 70 78 6c 31 8d e9 a5 5a 8a c4 54 +5e e7 cf f3 99 c6 78 e5 78 f8 93 9e d4 9e 84 bb +a9 aa e5 7c 1a 36 fc c3 94 86 46 6e 40 12 f9 58 +87 a6 81 10 f1 a4 84 67 e4 c2 34 f5 81 c5 ec 47 +71 06 cc b3 ec 86 17 b4 be 21 93 37 44 8f e7 2e +25 de ab 53 ea cb 92 e5 96 62 95 b3 a5 57 12 19 +58 df e7 9c a4 72 f7 9e fb da 1d cf ba 9d bd 0f +97 67 32 c0 93 b9 8f f1 93 c9 02 98 7a 42 6c 0f + +# PKCS#1 v1.5 Signature Example 14.15 + +# ----------------- + +# Message to be signed: +d4 c2 35 96 7d 4e 87 b6 71 1e 32 ac 70 37 a3 97 +f9 9b 1c ad 95 a1 88 94 6a 48 64 0e b6 b7 b0 03 +c3 2f 85 a1 21 b0 9c a4 c8 be c0 b8 27 44 aa f2 +7d 16 6c ef c7 a9 70 2a d3 1d bd 15 ea 2a 18 5f +5b 9b a6 42 f9 49 07 8b c6 09 b9 a8 a3 36 92 d7 +18 49 39 d1 f9 eb 42 6a 6d b7 40 ea d9 4c fe a1 +7f eb 06 18 d7 4d 9a 65 16 88 e9 0b 9b b7 05 24 +30 5d 61 8c 88 a5 5f 45 44 50 e0 c5 85 d3 a8 d9 +81 65 81 8f 36 3b 20 a2 52 49 2e 15 12 58 58 90 +a8 c3 20 a7 18 71 58 ce 0d 4e 4b e1 c7 01 f8 af +dc 54 5c 4d ab 86 8d 41 d4 1c 21 c2 cb 1f 67 df +79 53 d5 f7 26 1c 50 92 bb c4 33 2a c5 57 5b 6e +0e 03 14 9c 04 0c 3e 20 1c 79 15 ac 20 22 88 4e +a0 e6 c2 14 03 f0 b4 4e 0f 71 34 3f c9 11 1a 7d +b2 f5 e9 e5 09 c2 d8 97 84 ef b2 2c 31 e8 16 5e +0e 93 6c + +# Signature: +46 9f 08 bd d0 3b 75 64 0e 8a 44 a0 7c a8 de 4b +ac f8 33 1f e3 9c 44 d2 3a a7 b5 81 dc 3f 00 f5 +42 1b 5c 17 2d 0f fc e9 14 97 d3 d4 b1 04 f5 6a +98 ec 94 f7 19 27 1e 58 b4 3e fb d8 76 e1 c1 31 +fa 97 82 07 28 a5 56 75 55 21 4c d9 4a 18 fc ce +5c 2f 53 b1 9d 1f 3c 73 d0 9f 7b e1 80 97 38 b0 +3c e7 69 e4 54 ed 4c be dc af 43 c4 8b d3 9d f2 +f8 bb 63 b8 fc 4d 0d 4d 5b 20 4f c2 20 01 3a 66 +8c 19 f9 75 02 93 a4 71 15 83 88 26 45 db f3 ac +4f 83 9b 6f d1 cf 3b 5e e8 d7 34 e1 da 37 4d 91 +d8 9e a3 18 e9 18 34 83 f4 a0 9a 93 51 4a f5 4f +75 d0 a3 56 51 b2 40 f7 9f 20 a2 97 7d 14 57 8c + +# PKCS#1 v1.5 Signature Example 14.16 + +# ----------------- + +# Message to be signed: +d0 6a dc a4 c2 0f 0d 9f 7b e6 5a 20 32 7c 29 47 +56 e3 ed d9 e1 d3 9d 0f 95 c7 9d f1 ba c3 34 35 +9f ab 94 3d 85 45 a3 ba a3 7a 59 29 5c 58 b2 37 +75 2b 8d e7 d4 32 3c 56 e9 d7 cb 0c 7f 83 1d 54 +9c b3 87 19 a0 81 d5 8b 60 57 ec b7 42 9e 2c a6 +07 cd 13 06 35 59 43 15 9d c9 24 ad 3e 9c b1 3d +0e 71 ea dc b0 05 e1 84 c0 c2 ce aa f9 d7 4a 1c +1d f6 fe c1 8c 97 a0 + +# Signature: +9f d9 52 5c 15 c8 43 b8 06 9c 15 f2 6d 3f 95 24 +6a f3 7a 8b 8e 6b 93 9d df 5b 38 28 cd b6 2c fa +37 3a 92 ec c4 13 84 a8 77 ca a0 90 aa 13 c8 47 +ef 28 29 dd ca 14 14 20 14 02 14 81 55 05 50 da +a2 9d e2 ab 70 01 b8 55 c9 34 2f 0c 90 bf a6 c3 +34 9b 2c 39 62 13 ef 70 cb d8 4b b4 ce 6e f5 8b +17 6e 9f 6f cc db 6e 46 ca c3 41 14 a1 b9 f9 8a +8a 32 75 7b f7 5d 6b fc 45 5a de 6a 01 f9 60 50 +1b 79 f5 fb e3 b3 8f ca 03 46 4e 43 d4 96 63 c7 +9f f6 4d 32 98 1e 44 80 cd f4 2d 8a f8 da a7 f1 +2b 81 a5 aa 96 5f ad aa 3c 03 b7 ff 22 d3 cf df +fe 3c ad f4 d5 98 9e d1 4c 96 9a 6e 8c 9a 1e 04 + +# PKCS#1 v1.5 Signature Example 14.17 + +# ----------------- + +# Message to be signed: +3a 63 02 d7 9e 26 b5 55 c7 7d e9 2a 91 e0 78 57 +1e d1 57 2f fc 3e 4f c9 05 ce 53 f1 04 b3 22 00 +95 7e b2 b5 e5 f3 e3 fc bb c1 62 f9 e5 25 c7 06 +f1 dd 04 fc ab 51 6b c1 8a 8e 4f 88 a9 38 a5 b2 +56 85 d7 8d dc 9f 10 4e 49 bf 5c a0 b6 5a 4b 96 +57 e0 4a 71 fb 50 eb 4a ac 22 c0 bb 93 f6 0c ac +94 83 f1 77 13 55 3d ca 4b 31 e2 72 7b 32 e3 50 +fe 20 4c ec d9 a7 cd a4 da da 2e 87 ff 6f 2b 73 +e7 b0 78 1e 21 2f 34 fe 36 36 10 f0 18 a7 99 37 +37 55 ab 46 66 7b b6 52 5d 7d c7 a0 e8 28 90 17 +f5 48 7f a6 92 ef 2f dd ce 38 ad 3f 45 30 de 7e +e5 05 66 70 a7 35 d3 78 d1 ef c9 94 81 f8 c9 fb +ee a9 9f 56 6a 0b 6e 28 46 26 44 a6 d9 c6 cc 88 +fb + +# Signature: +b7 57 fa 74 7c 5c 87 67 66 f3 58 ac bf c7 e7 b8 +05 96 36 8d 0d 86 29 50 e5 55 f4 71 64 6f 64 0e +85 1d 61 2a 55 6f 55 a7 4a 32 92 42 9e 4c 14 f7 +8b a3 eb bd 96 87 f3 08 de db 3c fe d7 1f 4a 9d +d2 6f a5 12 2f 7f 71 94 ae b6 3b c8 b7 5c 34 31 +87 11 5a 1d bd 35 95 90 f7 ff 38 62 b7 08 85 af +1c a9 34 b8 ce bc 2c c9 e6 47 25 3f d1 32 7a 2e +d4 24 4d c8 f5 85 55 a6 89 7c a3 22 9c 80 1e 7b +f6 28 f5 25 e6 c9 48 80 4d 0b 1b 6d bc d7 90 2a +cd e7 a2 5b a5 91 d8 86 e2 8d aa 8d ed 5e e4 01 +e3 4e 64 12 f1 e6 44 ee c1 2a e9 42 61 90 6a 17 +26 11 dd 5a 98 67 78 9c 41 90 34 68 84 29 e9 06 + +# PKCS#1 v1.5 Signature Example 14.18 + +# ----------------- + +# Message to be signed: +9d c7 ce 1d 02 ca dc f1 0d f1 11 04 56 b8 a7 a5 +ea 43 76 b2 7e 8b f8 cc 8d b8 10 49 fd a3 fb d0 +db 8a 3d 0f 6b d7 48 6b 8d 84 bf 9f fd 4b 64 17 +52 df 7e df 50 86 5e 8e 58 ad 49 f7 24 0e 47 d3 +fc 98 5e db 59 6d ab fe 01 72 2a 22 77 60 38 3c +e2 4d 4a 05 d8 b0 6e f5 b9 6f 11 7d 81 + +# Signature: +05 a9 5e 11 b5 bf b0 1d cf de 3e fa 9f 31 3d 81 +bb 0d fd 46 de 63 b0 65 80 56 c5 3a f7 ad 9e 89 +43 8b 7d e7 8f f8 ea 88 d0 72 b1 74 9a 52 9f 1c +c9 cf 2c f3 2e 5a b7 20 e0 69 b4 90 6d 28 2a 03 +dd 78 d1 b3 ca 2a 3f 92 5b f5 1c 74 91 b7 3b a0 +bf 54 d5 0d 97 1d e5 b2 77 26 d8 fb 3e e2 77 34 +97 df 35 49 51 7e ed cd 9d e6 8d 90 df 35 d3 f0 +50 81 15 1a da b5 39 73 85 ab ee a7 2b 69 bd 0d +e1 8d ce e9 a2 be 00 e9 1a 03 24 03 b1 f8 1b bc +0a e7 31 c6 c0 d9 cf dd 06 c3 31 ed 89 d7 de 1d +e1 df 46 cf 09 ce 53 df 15 97 fb 69 94 68 1c 7f +be 94 c9 b0 8e 50 aa 1b 12 41 96 02 98 7f 37 dd + +# PKCS#1 v1.5 Signature Example 14.19 + +# ----------------- + +# Message to be signed: +87 a6 45 61 1b b1 91 85 3f 4f d9 b7 40 b2 de 4c +16 3e 75 62 b1 17 62 63 3e 72 df b6 f6 be 7e fb +90 41 a9 65 82 94 3a b2 01 83 91 c0 5a df ab 46 +4d d6 e3 3f 96 0d db f3 b1 7a c6 2b b7 8a fc 1c +6a 45 39 6c 09 08 70 7c 62 36 12 55 cb f0 9b ad +95 9b 31 33 da 48 d5 32 ba 7e f1 d2 0f b6 57 2a +1f 0e d6 f2 c6 e1 be c1 b1 7c c3 19 ba f7 2a 19 +8a a0 01 b8 3d 4e 98 69 c3 40 90 f2 29 a9 c7 f1 +42 a7 4e 85 ab 3e d5 1c 69 ac 15 fa b4 ab e4 67 +15 73 cf 5a d2 b5 8e 78 a9 44 ed cc ea c5 ee 58 +bf ce 66 f4 0a ac 2a be 4e 5f a0 72 dd 0f 66 4f +ac 81 1a ef 08 42 10 e5 64 1b 9c d0 8c 87 24 f4 +b4 1e ed 1d 9d 4a 18 77 80 46 59 7b d1 a2 7b bb +c0 56 c1 5e 43 c0 38 ef 37 5b 43 5e 73 a7 d3 2f +01 50 16 b7 82 35 ce 75 a7 b7 62 04 99 68 e9 93 +22 53 e4 2c a9 76 c8 d8 dc a1 bb 2d bf + +# Signature: +b8 80 62 26 fb d3 d9 7b 79 f0 dd 1d 8c f9 a2 35 +e5 1b 94 b7 e2 23 ec 68 33 2d 68 6e d3 31 3e d1 +be f6 88 70 23 af 7a 5c 99 df 03 68 a3 49 c6 a5 +94 79 5b 62 35 36 10 13 42 69 0d eb 5f ad 90 23 +78 2f 6d be 16 43 a4 56 18 57 4f 16 72 81 12 a7 +e0 ef 9f 58 65 6f 6a db f4 00 40 9f 4a a5 01 3c +15 9a 36 8c a5 9b de 6b 39 18 df e1 d8 02 fa 6c +fa 06 c9 ca 31 ac a7 8c b2 63 c8 ed 91 7a f9 a9 +a7 95 d5 e2 c4 01 e7 29 96 4c f7 ac 28 cc db 36 +d9 59 ed 7f d9 af 1c 47 09 7b 62 55 c6 4e 1b 16 +f2 1d 86 87 04 55 d5 f0 bf 90 1f cc 68 c3 4b 72 +c1 be e7 2e 6b 8c 4e 36 ae 33 99 6c 7a 59 d0 9a + +# PKCS#1 v1.5 Signature Example 14.20 + +# ----------------- + +# Message to be signed: +03 2e 28 3e 59 6e 87 fa a6 cf cf b8 fa 04 df 6a +61 e6 11 df e7 3b bf 66 8e e6 7b 49 6b fb 0f fb +7f 9d c9 31 a9 8b ce db 25 + +# Signature: +b9 fd c0 3d c1 99 70 71 3c 4a 17 e8 7e 7e bb 5f +13 50 5d 59 cb b2 2b a7 2e 9f f1 6b df 8b 65 9c +33 30 a9 3d cc 09 2a 5d 38 5b 2d 5e 15 34 00 31 +46 c0 50 b7 dd c4 f7 56 56 9d a2 11 80 15 82 26 +61 19 f5 59 9b 1e 65 e8 eb ea 6b c9 64 42 ee 12 +ac b9 6c 6d ba 08 3e 92 10 94 da 9c 9e cf 5a fa +a5 4b 7f de 7a 0c ae 3f df e4 d2 51 93 3a 52 f0 +2d c2 3e 1b 32 14 c6 83 e1 9a f4 6e 18 c7 49 56 +dc 6a b3 50 2d 46 ca ac 3c b2 6b 70 7c dc 30 25 +b6 de 4e 83 54 3b 95 84 5b 4a 15 97 60 77 0a 4b +d0 9e 46 35 a0 4e 21 7d 66 5c 95 94 87 9f 38 1d +71 10 09 34 fa da 61 c7 cc 22 b8 d2 ff 8e b3 5a + +# ============================================= + +# Example 15: A 2048-bit RSA key pair +# ----------------------------------- + + +# Public key +# ---------- + +# Modulus: +df 27 1f d2 5f 86 44 49 6b 0c 81 be 4b d5 02 97 +ef 09 9b 00 2a 6f d6 77 27 eb 44 9c ea 56 6e d6 +a3 98 1a 71 31 2a 14 1c ab c9 81 5c 12 09 e3 20 +a2 5b 32 46 4e 99 99 f1 8c a1 3a 9f d3 89 25 58 +f9 e0 ad ef dd 36 50 dd 23 a3 f0 36 d6 0f e3 98 +84 37 06 a4 0b 0b 84 62 c8 be e3 bc e1 2f 1f 28 +60 c2 44 4c dc 6a 44 47 6a 75 ff 4a a2 42 73 cc +be 3b f8 02 48 46 5f 8f f8 c3 a7 f3 36 7d fc 0d +f5 b6 50 9a 4f 82 81 1c ed d8 1c da aa 73 c4 91 +da 41 21 70 d5 44 d4 ba 96 b9 7f 0a fc 80 65 49 +8d 3a 49 fd 91 09 92 a1 f0 72 5b e2 4f 46 5c fe +7e 0e ab f6 78 99 6c 50 bc 5e 75 24 ab f7 3f 15 +e5 be f7 d5 18 39 4e 31 38 ce 49 44 50 6a aa af +3f 9b 23 6d ca b8 fc 00 f8 7a f5 96 fd c3 d9 d6 +c7 5c d5 08 36 2f ae 2c be dd cc 4c 74 50 b1 7b +77 6c 07 9e cc a1 f2 56 35 1a 43 b9 7d be 21 53 + +# Exponent: +01 00 01 + +# Private key +# ----------- + +# Modulus: +df 27 1f d2 5f 86 44 49 6b 0c 81 be 4b d5 02 97 +ef 09 9b 00 2a 6f d6 77 27 eb 44 9c ea 56 6e d6 +a3 98 1a 71 31 2a 14 1c ab c9 81 5c 12 09 e3 20 +a2 5b 32 46 4e 99 99 f1 8c a1 3a 9f d3 89 25 58 +f9 e0 ad ef dd 36 50 dd 23 a3 f0 36 d6 0f e3 98 +84 37 06 a4 0b 0b 84 62 c8 be e3 bc e1 2f 1f 28 +60 c2 44 4c dc 6a 44 47 6a 75 ff 4a a2 42 73 cc +be 3b f8 02 48 46 5f 8f f8 c3 a7 f3 36 7d fc 0d +f5 b6 50 9a 4f 82 81 1c ed d8 1c da aa 73 c4 91 +da 41 21 70 d5 44 d4 ba 96 b9 7f 0a fc 80 65 49 +8d 3a 49 fd 91 09 92 a1 f0 72 5b e2 4f 46 5c fe +7e 0e ab f6 78 99 6c 50 bc 5e 75 24 ab f7 3f 15 +e5 be f7 d5 18 39 4e 31 38 ce 49 44 50 6a aa af +3f 9b 23 6d ca b8 fc 00 f8 7a f5 96 fd c3 d9 d6 +c7 5c d5 08 36 2f ae 2c be dd cc 4c 74 50 b1 7b +77 6c 07 9e cc a1 f2 56 35 1a 43 b9 7d be 21 53 + +# Public exponent: +01 00 01 + +# Exponent: +5b d9 10 25 78 30 dc e1 75 20 b0 34 41 a5 1a 8c +ab 94 02 0a c6 ec c2 52 c8 08 f3 74 3c 95 b7 c8 +3b 8c 8a f1 a5 01 43 46 eb c4 24 2c df b5 d7 18 +e3 0a 73 3e 71 f2 91 e4 d4 73 b6 1b fb a6 da ca +ed 0a 77 bd 1f 09 50 ae 3c 91 a8 f9 01 11 88 25 +89 e1 d6 27 65 ee 67 1e 7b ae ea 30 9f 64 d4 47 +bb cf a9 ea 12 dc e0 5e 9e a8 93 9b c5 fe 61 08 +58 12 79 c9 82 b3 08 79 4b 34 48 e7 f7 b9 52 29 +2d f8 8c 80 cb 40 14 2c 4b 5c f5 f8 dd aa 08 91 +67 8d 61 0e 58 2f cb 88 0f 0d 70 7c af 47 d0 9a +84 e1 4c a6 58 41 e5 a3 ab c5 e9 db a9 40 75 a9 +08 43 41 f0 ed ad 9b 68 e3 b8 e0 82 b8 0b 6e 6e +8a 05 47 b4 4f b5 06 1b 6a 91 31 60 3a 55 37 dd +ab d0 1d 8e 86 3d 89 22 e9 aa 3e 4b fa ea 0b 39 +d7 92 83 ad 2c bc 8a 59 cc e7 a6 ec f4 e4 c8 1e +d4 c6 59 1c 80 7d ef d7 1a b0 68 66 bb 5e 77 45 + +# Prime 1: +f4 4f 5e 42 46 39 1f 48 2b 2f 52 96 e3 60 2e b3 +4a a1 36 42 77 10 f7 c0 41 6d 40 3f d6 9d 4b 29 +13 0c fe be f3 4e 88 5a bd b1 a8 a0 a5 f0 e9 b5 +c3 3e 1f c3 bf c2 85 b1 ae 17 e4 0c c6 7a 19 13 +dd 56 37 19 81 5e ba f8 51 4c 2a 7a a0 01 8e 63 +b6 c6 31 dc 31 5a 46 23 57 16 42 3d 11 ff 58 03 +4e 61 06 45 70 36 06 91 9f 5c 7c e2 66 0c d1 48 +bd 9e fc 12 3d 9c 54 b6 70 55 90 d0 06 cf cf 3f + +# Prime 2: +e9 d4 98 41 e0 e0 a6 ad 0d 51 78 57 13 3e 36 dc +72 c1 bd d9 0f 91 74 b5 2e 26 57 0f 37 36 40 f1 +c1 85 e7 ea 8e 2e d7 f1 e4 eb b9 51 f7 0a 58 02 +36 33 b0 09 7a ec 67 c6 dc b8 00 fc 1a 67 f9 bb +05 63 61 0f 08 eb c8 74 6a d1 29 77 21 36 eb 1d +da f4 64 36 45 0d 31 83 32 a8 49 82 fe 5d 28 db +e5 b3 e9 12 40 7c 3e 0e 03 10 0d 87 d4 36 ee 40 +9e ec 1c f8 5e 80 ab a0 79 b2 e6 10 6b 97 bc ed + +# Prime exponent 1: +ed 10 2a cd b2 68 71 53 4d 1c 41 4e ca d9 a4 d7 +32 fe 95 b1 0e ea 37 0d a6 2f 05 de 2c 39 3b 1a +63 33 03 ea 74 1b 6b 32 69 c9 7f 70 4b 35 27 02 +c9 ae 79 92 2f 7b e8 d1 0d b6 7f 02 6a 81 45 de +41 b3 0c 0a 42 bf 92 3b ac 5f 75 04 c2 48 60 4b +9f aa 57 ed 6b 32 46 c6 ba 15 8e 36 c6 44 f8 b9 +54 8f cf 4f 07 e0 54 a5 6f 76 86 74 05 44 40 bc +0d cb bc 9b 52 8f 64 a0 17 06 e0 5b 0b 91 10 6f + +# Prime exponent 2: +68 27 92 4a 85 e8 8b 55 ba 00 f8 21 91 28 bd 37 +24 c6 b7 d1 df e5 62 9e f1 97 92 5f ec af f5 ed +b9 cd f3 a7 be fd 8e a2 e8 dd 37 07 13 8b 3f f8 +7c 3c 39 c5 7f 43 9e 56 2e 2a a8 05 a3 9d 7c d7 +99 66 d2 ec e7 84 5f 1d bc 16 be e9 99 99 e4 d0 +bf 9e ec a4 5f cd a8 a8 50 00 35 fe 6b 5f 03 bc +2f 6d 1b fc 4d 4d 0a 37 23 96 1a f0 cd ce 4a 01 +ee c8 2d 7f 54 58 ec 19 e7 1b 90 ee ef 7d ff 61 + +# Coefficient: +57 b7 38 88 d1 83 a9 9a 63 07 42 22 77 55 1a 3d +9e 18 ad f0 6a 91 e8 b5 5c ef fe f9 07 7c 84 96 +94 8e cb 3b 16 b7 81 55 cb 2a 3a 57 c1 19 d3 79 +95 1c 01 0a a6 35 ed cf 62 d8 4c 5a 12 2a 8d 67 +ab 5f a9 e5 a4 a8 77 2a 1e 94 3b af c7 0a e3 a4 +c1 f0 f3 a4 dd ff ae fd 18 92 c8 cb 33 bb 0d 0b +95 90 e9 63 a6 91 10 fb 34 db 7b 90 6f c4 ba 28 +36 99 5a ac 7e 52 74 90 ac 95 2a 02 26 8a 4f 18 + +# PKCS#1 v1.5 signing of 20 random messages +# ------------------------------------------------------- + +# PKCS#1 v1.5 Signature Example 15.1 + +# ----------------- + +# Message to be signed: +f4 5d 55 f3 55 51 e9 75 d6 a8 dc 7e a9 f4 88 59 +39 40 cc 75 69 4a 27 8f 27 e5 78 a1 63 d8 39 b3 +40 40 84 18 08 cf 9c 58 c9 b8 72 8b f5 f9 ce 8e +e8 11 ea 91 71 4f 47 ba b9 2d 0f 6d 5a 26 fc fe +ea 6c d9 3b 91 0c 0a 2c 96 3e 64 eb 18 23 f1 02 +75 3d 41 f0 33 59 10 ad 3a 97 71 04 f1 aa f6 c3 +74 27 16 a9 75 5d 11 b8 ee d6 90 47 7f 44 5c 5d +27 20 8b 2e 28 43 30 fa 3d 30 14 23 fa 7f 2d 08 +6e 0a d0 b8 92 b9 db 54 4e 45 6d 3f 0d ab 85 d9 +53 c1 2d 34 0a a8 73 ed a7 27 c8 a6 49 db 7f a6 +37 40 e2 5e 9a f1 53 3b 30 7e 61 32 99 93 11 0e +95 19 4e 03 93 99 c3 82 4d 24 c5 1f 22 b2 6b de +10 24 cd 39 59 58 a2 df eb 48 16 a6 e8 ad ed b5 +0b 1f 6b 56 d0 b3 06 0f f0 f1 c4 cb 0d 0e 00 1d +d5 9d 73 be 12 + +# Signature: +b7 5a 54 66 b6 5d 0f 30 0e f5 38 33 f2 17 5c 8a +34 7a 38 04 fc 63 45 1d c9 02 f0 b7 1f 90 83 45 +9e d3 7a 51 79 a3 b7 23 a5 3f 10 51 64 2d 77 37 +4c 4c 6c 8d bb 1c a2 05 25 f5 c9 f3 2d b7 76 95 +35 56 da 31 29 0e 22 19 74 82 ce b6 99 06 c4 6a +75 8f b0 e7 40 9b a8 01 07 7d 2a 0a 20 ea e7 d1 +d6 d3 92 ab 49 57 e8 6b 76 f0 65 2d 68 b8 39 88 +a7 8f 26 e1 11 72 ea 60 9b f8 49 fb bd 78 ad 7e +dc e2 1d e6 62 a0 81 36 8c 04 06 07 ce e2 9d b0 +62 72 27 f4 49 63 ad 17 1d 22 93 b6 33 a3 92 e3 +31 dc a5 4f e3 08 27 52 f4 3f 63 c1 61 b4 47 a4 +c6 5a 68 75 67 0d 5f 66 00 fc c8 60 a1 ca eb 0a +88 f8 fd ec 4e 56 43 98 a5 c4 6c 87 f6 8c e0 70 +01 f6 21 3a be 0a b5 62 5f 87 d1 90 25 f0 8d 81 +da c7 bd 45 86 bc 93 82 19 1f 6d 28 80 f6 22 7e +5d f3 ee d2 1e 77 92 d2 49 48 04 87 f3 65 52 61 + +# PKCS#1 v1.5 Signature Example 15.2 + +# ----------------- + +# Message to be signed: +c1 4b 4c 60 75 b2 f9 aa d6 61 de f4 ec fd 3c b9 +33 c6 23 f4 e6 3b f5 34 10 d2 f0 16 d1 ab 98 e2 +72 9e cc f8 00 6c d8 e0 80 50 73 7d 95 fd bf 29 +6b 66 f5 b9 79 2a 90 29 36 c4 f7 ac 69 f5 14 53 +ce 43 69 45 2d c2 2d 96 f0 37 74 81 14 66 20 00 +dd 9c d3 a5 e1 79 f4 e0 f8 1f a6 a0 31 1c a1 ae +e6 51 9a 0f 63 ce c7 8d 27 bb 72 63 93 fb 7f 1f +88 cd e7 c9 7f 8a 66 cd 66 30 12 81 da c3 f3 a4 +33 24 8c 75 d6 c2 dc d7 08 b6 a9 7b 0a 3f 32 5e +0b 29 64 f8 a5 81 9e 47 9b + +# Signature: +af a7 34 34 62 be a1 22 cc 14 9f ca 70 ab da e7 +94 46 67 7d b5 37 36 66 af 7d c3 13 01 5f 4d e7 +86 e6 e3 94 94 6f ad 3c c0 e2 b0 2b ed ba 50 47 +fe 9e 2d 7d 09 97 05 e4 a3 9f 28 68 32 79 cf 0a +c8 5c 15 30 41 22 42 c0 e9 18 95 3b e0 00 e9 39 +cf 3b f1 82 52 5e 19 93 70 fa 79 07 eb a6 9d 5d +b4 63 10 17 c0 e3 6d f7 03 79 b5 db 8d 4c 69 5a +97 9a 8e 61 73 22 40 65 d7 dc 15 13 2e f2 8c d8 +22 79 51 63 06 3b 54 c6 51 14 1b e8 6d 36 e3 67 +35 bc 61 f3 1f ca 57 4e 53 09 f3 a3 bb df 91 ef +f1 2b 99 e9 cc 17 44 f1 ee 9a 1b d2 2c 5b ad 96 +ad 48 19 29 25 1f 03 43 fd 36 bc f0 ac de 7f 11 +e5 ad 60 97 77 21 20 27 96 fe 06 1f 9a da 1f c4 +c8 e0 0d 60 22 a8 35 75 85 ff e9 fd d5 93 31 a2 +8c 4a a3 12 15 88 fb 6c f6 83 96 d8 ac 05 46 59 +95 00 c9 70 85 00 a5 97 2b d5 4f 72 cf 8d b0 c8 + +# PKCS#1 v1.5 Signature Example 15.3 + +# ----------------- + +# Message to be signed: +d0 23 71 ad 7e e4 8b bf db 27 63 de 7a 84 3b 94 +08 ce 5e b5 ab f8 47 ca 3d 73 59 86 df 84 e9 06 +0b db cd d3 a5 5b a5 5d de 20 d4 76 1e 1a 21 d2 +25 c1 a1 86 f4 ac 4b 30 19 d3 ad f7 8f e6 33 46 +67 f5 6f 70 c9 01 a0 a2 70 0c 6f 0d 56 ad d7 19 +59 2d c8 8f 6d 23 06 c7 00 9f 6e 7a 63 5b 4c b3 +a5 02 df e6 8d dc 58 d0 3b e1 0a 11 70 00 4f e7 +4d d3 e4 6b 82 59 1f f7 54 14 f0 c4 a0 3e 60 5e +20 52 4f 24 16 f1 2e ca 58 9f 11 1b 75 d6 39 c6 +1b aa 80 ca fd 05 cf 35 00 24 4a 21 9e d9 ce d9 +f0 b1 02 97 18 2b 65 3b 52 6f 40 0f 29 53 ba 21 +4d 5b cd 47 88 41 32 87 2a e9 0d 4d 6b 1f 42 15 +39 f9 f3 46 62 a5 6d c0 e7 b4 b9 23 b6 23 1e 30 +d2 67 67 97 81 7f 7c 33 7b 5a c8 24 ba 93 14 3b +33 81 fa 3d ce 0e 6a eb d3 8e 67 73 51 87 b1 eb +d9 5c 02 + +# Signature: +3b ac 63 f8 6e 3b 70 27 12 03 10 6b 9c 79 aa bd +9f 47 7c 56 e4 ee 58 a4 fc e5 ba f2 ca b4 96 0f +88 39 1c 9c 23 69 8b e7 5c 99 ae df 9e 1a bf 17 +05 be 1d ac 33 14 0a db 48 eb 31 f4 50 bb 9e fe +83 b7 b9 0d b7 f1 57 6d 33 f4 0c 1c ba 4b 8d 6b +1d 33 23 56 4b 0f 17 74 11 4f a7 c0 8e 6d 1e 20 +dd 8f bb a9 b6 ac 7a d4 1e 26 b4 56 8f 4a 8a ac +bf d1 78 a8 f8 d2 c9 d5 f5 b8 81 12 93 5a 8b c9 +ae 32 cd a4 0b 8d 20 37 55 10 73 50 96 53 68 18 +ce 2b 2d b7 1a 97 72 c9 b0 dd a0 9a e1 01 52 fa +11 46 62 18 d0 91 b5 3d 92 54 30 61 b7 29 4a 55 +be 82 ff 35 d5 c3 2f a2 33 f0 5a aa c7 58 50 30 +7e cf 81 38 3c 11 16 74 39 7b 1a 1b 9d 3b f7 61 +2c cb e5 ba cd 2b 38 f0 a9 83 97 b2 4c 83 65 8f +b6 c0 b4 14 0e f1 19 70 c4 63 0d 44 34 4e 76 ea +ed 74 dc be e8 11 db f6 57 59 41 f0 8a 65 23 b8 + +# PKCS#1 v1.5 Signature Example 15.4 + +# ----------------- + +# Message to be signed: +29 03 55 84 ab 7e 02 26 a9 ec 4b 02 e8 dc f1 27 +2d c9 a4 1d 73 e2 82 00 07 b0 f6 e2 1f ec cd 5b +d9 db b9 ef 88 cd 67 58 76 9e e1 f9 56 da 7a d1 +84 41 de 6f ab 83 86 db c6 93 + +# Signature: +28 d8 e3 fc d5 dd db 21 ff bd 8d f1 63 0d 73 77 +aa 26 51 e1 4c ad 1c 0e 43 cc c5 2f 90 7f 94 6d +66 de 72 54 e2 7a 6c 19 0e b0 22 ee 89 ec f6 22 +4b 09 7b 71 06 8c d6 07 28 a1 ae d6 4b 80 e5 45 +7b d3 10 6d d9 17 06 c9 37 c9 79 5f 2b 36 36 7f +f1 53 dc 25 19 a8 db 9b df 2c 80 74 30 c4 51 de +17 bb cd 0c e7 82 b3 e8 f1 02 4d 90 62 4d ea 7f +1e ed c7 42 0b 7e 7c aa 65 77 ce f4 31 41 a7 26 +42 06 58 0e 44 a1 67 df 5e 41 ee a0 e6 9a 80 54 +54 c4 0e ef c1 3f 48 e4 23 d7 a3 2d 02 ed 42 c0 +ab 03 d0 a7 cf 70 c5 86 0a c9 2e 03 ee 00 5b 60 +ff 35 03 42 4b 98 cc 89 45 68 c7 c5 6a 02 33 55 +1c eb e5 88 cf 8b 01 67 b7 df 13 ad ca d8 28 67 +68 10 49 9c 70 4d a7 ae 23 41 4d 69 e3 c0 d2 db +5d cb c2 61 3b c1 20 42 1f 9e 36 53 c5 a8 76 72 +97 64 3c 7e 07 40 de 01 63 55 45 3d 6c 95 ae 72 + +# PKCS#1 v1.5 Signature Example 15.5 + +# ----------------- + +# Message to be signed: +bd a3 a1 c7 90 59 ea e5 98 30 8d 3d f6 09 + +# Signature: +a1 56 17 6c b9 67 77 c7 fb 96 10 5d bd 91 3b c4 +f7 40 54 f6 80 7c 60 08 a1 a9 56 ea 92 c1 f8 1c +b8 97 dc 4b 92 ef 9f 4e 40 66 8d c7 c5 56 90 1a +cb 6c f2 69 fe 61 5b 0f b7 2b 30 a5 13 38 69 23 +14 b0 e5 87 8a 88 c2 c7 77 4b d1 69 39 b5 ab d8 +2b 44 29 d6 7b d7 ac 8e 5e a7 fe 92 4e 20 a6 ec +66 22 91 f2 54 8d 73 4f 66 34 86 8b 03 9a a5 f9 +d4 d9 06 b2 d0 cb 85 85 bf 42 85 47 af c9 1c 6e +20 52 dd cd 00 1c 3e f8 c8 ee fc 3b 6b 2a 82 b6 +f9 c8 8c 56 f2 e2 c3 cb 0b e4 b8 0d a9 5e ba 37 +1d 8b 5f 60 f9 25 38 74 3d db b5 da 29 72 c7 1f +e7 b9 f1 b7 90 26 8a 0e 77 0f c5 eb 4d 5d d8 52 +47 d4 8a e2 ec 3f 26 25 5a 39 85 52 02 06 a1 f2 +68 e4 83 e9 db b1 d5 ca b1 90 91 76 06 de 31 e7 +c5 18 2d 8f 15 1b f4 1d fe cc ae d7 cd e6 90 b2 +16 47 10 6b 49 0c 72 9d 54 a8 fe 28 02 a6 d1 26 + +# PKCS#1 v1.5 Signature Example 15.6 + +# ----------------- + +# Message to be signed: +c1 87 91 5e 4e 87 da 81 c0 8e d4 35 6a 0c ce ac +1c 4f b5 c0 46 b4 52 81 b3 87 ec 28 f1 ab fd 56 +7e 54 6b 23 6b 37 d0 1a e7 1d 3b 28 34 36 5d 3d +f3 80 b7 50 61 b7 36 b0 13 0b 07 0b e5 8a e8 a4 +6d 12 16 63 61 b6 13 db c4 7d fa eb 4c a7 46 45 +6c 2e 88 83 85 52 5c ca 9d d1 c3 c7 a9 ad a7 6d +6c + +# Signature: +9c ab 74 16 36 08 66 9f 75 55 a3 33 cf 19 6f e3 +a0 e9 e5 eb 1a 32 d3 4b b5 c8 5f f6 89 aa ab 0e +3e 65 66 8e d3 b1 15 3f 94 eb 3d 8b e3 79 b8 ee +f0 07 c4 a0 2c 70 71 ce 30 d8 bb 34 1e 58 c6 20 +f7 3d 37 b4 ec bf 48 be 29 4f 6c 9e 0e cb 5e 63 +fe c4 1f 12 0e 55 53 df a0 eb eb bb 72 64 0a 95 +37 ba dc b4 51 33 02 29 d9 f7 10 f6 2e 3e d8 ec +78 4e 50 ee 1d 92 62 b4 26 71 34 00 11 d7 d0 98 +c6 f2 55 7b 21 31 fa 9b d0 25 46 36 59 7e 88 ec +b3 5a 24 0e f0 fd 85 95 71 24 df 80 80 fe e1 e1 +49 af 93 99 89 e8 6b 26 c8 5a 58 81 fa e8 67 3d +9f d4 08 00 dd 13 4e b9 bd b6 41 0f 42 0b 0a a9 +7b 20 ef cf 2e b0 c8 07 fa eb 83 a3 cc d9 b5 1d +45 53 e4 1d fc 0d f6 ca 80 a1 e8 1d c2 34 bb 83 +89 dd 19 5a 38 b4 2d e4 ed c4 9d 34 64 78 b9 f1 +1f 05 57 20 5f 5b 0b d7 ff e9 c8 50 f3 96 d7 c4 + +# PKCS#1 v1.5 Signature Example 15.7 + +# ----------------- + +# Message to be signed: +ab fa 2e cb 7d 29 bd 5b cb 99 31 ce 2b ad 2f 74 +38 3e 95 68 3c ee 11 02 2f 08 e8 e7 d0 b8 fa 05 +8b f9 eb 7e b5 f9 88 68 b5 bb 1f b5 c3 1c ed a3 +a6 4f 1a 12 cd f2 0f cd 0e 5a 24 6d 7a 17 73 d8 +db a0 e3 b2 77 54 5b ab e5 8f 2b 96 e3 f4 ed c1 +8e ab f5 cd 2a 56 0f ca 75 fe 96 e0 7d 85 9d ef +b2 56 4f 3a 34 f1 6f 11 e9 1b 3a 71 7b 41 af 53 +f6 60 53 23 00 1a a4 06 c6 + +# Signature: +c4 b4 37 bc f7 03 f3 52 e1 fa f7 4e b9 62 20 39 +42 6b 56 72 ca f2 a7 b3 81 c6 c4 f0 19 1e 7e 4a +98 f0 ee bc d6 f4 17 84 c2 53 7f f0 f9 9e 74 98 +2c 87 20 1b fb c6 5e ae 83 2d b7 1d 16 da ca db +09 77 e5 c5 04 67 9e 40 be 0f 9d b0 6f fd 84 8d +d2 e5 c3 8a 7e c0 21 e7 f6 8c 47 df d3 8c c3 54 +49 3d 53 39 b4 59 5a 5b f3 1e 3f 8f 13 81 68 07 +37 3d f6 ad 0d c7 e7 31 e5 1a d1 9e b4 75 4b 13 +44 85 84 2f e7 09 d3 78 44 4d 8e 36 b1 72 4a 4f +da 21 ca fe e6 53 ab 80 74 7f 79 52 ee 80 4d ea +b1 03 9d 84 13 99 45 bb f4 be 82 00 87 53 f3 c5 +4c 78 21 a1 d2 41 f4 21 79 c7 94 ef 70 42 bb f9 +95 56 56 22 2e 45 c3 43 69 a3 84 69 7b 6a e7 42 +e1 8f a5 ca 7a ba d2 7d 9f e7 10 52 e3 31 0d 0f +52 c8 d1 2e a3 3b f0 53 a3 00 f4 af c4 f0 98 df +4e 6d 88 67 79 d6 45 94 d3 69 15 8f db c1 f6 94 + +# PKCS#1 v1.5 Signature Example 15.8 + +# ----------------- + +# Message to be signed: +df 40 44 a8 9a 83 e9 fc bf 12 62 54 0a e3 03 8b +bc 90 f2 b2 62 8b f2 a4 46 7a c6 77 22 d8 54 6b +3a 71 cb 0e a4 16 69 d5 b4 d6 18 59 c1 b4 e4 7c +ec c5 93 3f 75 7e c8 6d b0 64 4e 31 18 12 d0 0f +b8 02 f0 34 00 63 9c 0e 36 4d ae 5a eb c5 79 1b +c6 55 76 23 61 bc 43 c5 3d 3c 78 86 76 8f 79 68 +c1 c5 44 c6 f7 9f 7b e8 20 c7 e2 bd 2f 9d 73 e6 +2d ed 6d 2e 93 7e 6a 6d ae f9 0e e3 7a 1a 52 a5 +4f 00 e3 1a dd d6 48 94 cf 4c 02 e1 60 99 e2 9f +9e b7 f1 a7 bb 7f 84 c4 7a 2b 59 48 13 be 02 a1 +7b 7f c4 3b 34 c2 2c 91 92 52 64 12 6c 89 f8 6b +b4 d8 7f 3e f1 31 29 6c 53 a3 08 e0 33 1d ac 8b +af 3b 63 42 22 66 ec ef 2b 90 78 15 35 db da 41 +cb d0 cf 22 a8 cb fb 53 2e c6 8f c6 af b2 ac 06 + +# Signature: +14 14 b3 85 67 ae 6d 97 3e de 4a 06 84 2d cc 0e +05 59 b1 9e 65 a4 88 9b db ab d0 fd 02 80 68 29 +13 ba cd 5d c2 f0 1b 30 bb 19 eb 81 0b 7d 9d ed +32 b2 84 f1 47 bb e7 71 c9 30 c6 05 2a a7 34 13 +90 a8 49 f8 1d a9 cd 11 e5 ec cf 24 6d ba e9 5f +a9 58 28 e9 ae 0c a3 55 03 25 32 6d ee f9 f4 95 +30 ba 44 1b ed 4a c2 9c 02 9c 9a 27 36 b1 a4 19 +0b 85 08 4a d1 50 42 6b 46 d7 f8 5b d7 02 f4 8d +ac 5f 71 33 0b c4 23 a7 66 c6 5c c1 dc ab 20 d3 +d3 bb a7 2b 63 b3 ef 82 44 d4 2f 15 7c b7 e3 a8 +ba 5c 05 27 2c 64 cc 1a d2 1a 13 49 3c 39 11 f6 +0b 4e 9f 4e cc 99 00 eb 05 6e e5 9d 6f e4 b8 ff +6e 80 48 cc c0 f3 8f 28 36 fd 3d fe 91 bf 4a 38 +6e 1e cc 2c 32 83 9f 0c a4 d1 b2 7a 56 8f a9 40 +dd 64 ad 16 bd 01 25 d0 34 8e 38 30 85 f0 88 94 +86 1c a1 89 87 22 7d 37 b4 2b 58 4a 83 57 cb 04 + +# PKCS#1 v1.5 Signature Example 15.9 + +# ----------------- + +# Message to be signed: +ea 94 1f f0 6f 86 c2 26 92 7f cf 0e 3b 11 b0 87 +26 76 17 0c 1b fc 33 bd a8 e2 65 c7 77 71 f9 d0 +85 01 64 a5 ee cb cc 5c e8 27 fb fa 07 c8 52 14 +79 6d 81 27 e8 ca a8 18 94 ea 61 ce b1 44 9e 72 +fe a0 a4 c9 43 b2 da 6d 9b 10 5f e0 53 b9 03 9a +9c c5 3d 42 0b 75 39 fa b2 23 9c 6b 51 d1 7e 69 +4c 95 7d 4b 0f 09 84 46 18 79 a0 75 9c 44 01 be +ec d4 c6 06 a0 af bd 7a 07 6f 50 a2 df c2 80 7f +24 f1 91 9b aa 77 46 d3 a6 4e 26 8e d3 f5 f8 e6 +da 83 a2 a5 c9 15 2f 83 7c b0 78 12 bd 5b a7 d3 +a0 79 85 de 88 11 3c 17 96 e9 b4 66 ec 29 9c 5a +c1 05 9e 27 f0 94 15 + +# Signature: +ce eb 84 cc b4 e9 09 92 65 65 07 21 ee a0 e8 ec +89 ca 25 bd 35 4d 4f 64 56 49 67 be 9d 4b 08 b3 +f1 c0 18 53 9c 9d 37 1c f8 96 1f 22 91 fb e0 dc +2f 2f 95 fe a4 7b 63 9f 1e 12 f4 bc 38 1c ef 0c +2b 7a 7b 95 c3 ad f2 76 05 b7 f6 39 98 c3 cb ad +54 28 08 c3 82 2e 06 4d 4a d1 40 93 67 9e 6e 01 +41 8a 6d 5c 05 96 84 cd 56 e3 4e d6 5a b6 05 b8 +de 4f cf a6 40 47 4a 54 a8 25 1b bb 73 26 a4 2d +08 58 5c fc fc 95 67 69 b1 5b 6d 7f df 7d a8 4f +81 97 6e aa 41 d6 92 38 0f f1 0e ae cf e0 a5 79 +68 29 09 b5 52 1f ad e8 54 d7 97 b8 a0 34 5b 9a +86 4e 05 88 f6 ca dd bf 65 f1 77 99 8e 18 0d 1f +10 24 43 e6 dc a5 3a 94 82 3c aa 9c 3b 35 f3 22 +58 3c 70 3a f6 74 76 15 9e c7 ec 93 d1 76 9b 30 +0a f0 e7 15 7d c2 98 c6 cd 2d ee 22 62 f8 cd dc +10 f1 1e 01 74 14 71 bb fd 65 18 a1 75 73 45 75 + +# PKCS#1 v1.5 Signature Example 15.10 + +# ----------------- + +# Message to be signed: +d8 b8 16 45 c1 3c d7 ec f5 d0 0e d2 c9 1b 9a cd +46 c1 55 68 e5 30 3c 4a 97 75 ed e7 6b 48 40 3d +6b e5 6c 05 b6 b1 cf 77 c6 e7 5d e0 96 c5 cb 35 +51 cb 6f a9 64 f3 c8 79 cf 58 9d 28 e1 da 2f 9d +ec + +# Signature: +27 45 07 4c a9 71 75 d9 92 e2 b4 47 91 c3 23 c5 +71 67 16 5c dd 8d a5 79 cd ef 46 86 b9 bb 40 4b +d3 6a 56 50 4e b1 fd 77 0f 60 bf a1 88 a7 b2 4b +0c 91 e8 81 c2 4e 35 b0 4d c4 dd 4c e3 85 66 bc +c9 ce 54 f4 9a 17 5f c9 d0 b2 25 22 d9 57 90 47 +f9 ed 42 ec a8 3f 76 4a 10 16 39 97 94 7e 7d 2b +52 ff 08 98 0e 7e 7c 22 57 93 7b 23 f3 d2 79 d4 +cd 17 d6 f4 95 54 63 73 d9 83 d5 36 ef d7 d1 b6 +71 81 ca 2c b5 0a c6 16 c5 c7 ab fb b9 26 0b 91 +b1 a3 8e 47 24 20 01 ff 45 2f 8d e1 0c a6 ea ea +dc af 9e dc 28 95 6f 28 a7 11 29 1f c9 a8 08 78 +b8 ba 4c fe 25 b8 28 1c b8 0b c9 cd 6d 2b d1 82 +52 46 ee be 25 2d 99 57 ef 93 70 73 52 08 4e 6d +36 d4 23 55 1b f2 66 a8 53 40 fb 4a 6a f3 70 88 +0a ab 07 15 3d 01 f4 8d 08 6d f0 bf be c0 5e 7b +44 3b 97 e7 17 18 97 0e 2f 4b f6 20 23 e9 5b 67 + +# PKCS#1 v1.5 Signature Example 15.11 + +# ----------------- + +# Message to be signed: +e5 73 9b 6c 14 c9 2d 51 0d 95 b8 26 93 33 37 ff +0d 24 ef 72 1a c4 ef 64 c2 ba d2 64 be 8b 44 ef +a1 51 6e 08 a2 7e b6 b6 11 d3 30 1d f0 06 2d ae +fc 73 a8 c0 d9 2e 2c 52 1f ac bc 7b 26 47 38 76 +7e a6 fc 97 d5 88 a0 ba f6 ce 50 ad f7 9e 60 0b +d2 9e 34 5f cb 1d ba 71 ac 5c 02 89 02 3f e4 a8 +2b 46 a5 40 77 19 19 7d 2e 95 8e 35 31 fd 54 ae +f9 03 aa bb 43 55 f8 83 18 99 4e d3 c3 dd 62 f4 +20 a7 + +# Signature: +be 40 a5 fb 94 f1 13 e1 b3 ef f6 b6 a3 39 86 f2 +02 e3 63 f0 74 83 b7 92 e6 8d fa 55 54 df 04 66 +cc 32 15 09 50 78 3b 4d 96 8b 63 9a 04 fd 2f b9 +7f 6e b9 67 02 1f 5a dc cb 9f ca 95 ac c8 f2 cd +88 5a 38 0b 0a 4e 82 bc 76 07 64 db ab 88 c1 e6 +c0 25 5c aa 94 f2 32 19 9d 6f 59 7c c9 14 5b 00 +e3 d4 ba 34 6b 55 9a 88 33 ad 15 16 ad 51 63 f0 +16 af 6a 59 83 1c 82 ea 13 c8 22 4d 84 d0 76 5a +9d 12 38 4d a4 60 a8 53 1b 4c 40 7e 04 f4 f3 50 +70 9e b9 f0 8f 5b 22 0f fb 45 ab f6 b7 5d 15 79 +fd 3f 1e b5 5f c7 5b 00 af 8b a3 b0 87 82 7f e9 +ae 9f b4 f6 c5 fa 63 03 1f e5 82 85 2f e2 83 4f +9c 89 bf f5 3e 25 52 21 6b c7 c1 d4 a3 d5 dc 2b +a6 95 5c d9 b1 7d 13 63 e7 fe e8 ed 76 29 75 3f +f3 12 5e dd 48 52 1a e3 b9 b0 32 17 f4 49 6d 0d +8e de 57 ac bc 5b d4 de ae 74 a5 6f 86 67 1d e2 + +# PKCS#1 v1.5 Signature Example 15.12 + +# ----------------- + +# Message to be signed: +7a f4 28 35 91 7a 88 d6 b3 c6 71 6b a2 f5 b0 d5 +b2 0b d4 e2 e6 e5 74 e0 6a f1 ee f7 c8 11 31 be +22 bf 81 28 b9 cb c6 ec 00 27 5b a8 02 94 a5 d1 +17 2d 08 24 a7 9e 8f dd 83 01 83 e4 c0 0b 96 78 +28 67 b1 22 7f ea 24 9a ad 32 ff c5 fe 00 7b c5 +1f 21 79 2f 72 8d ed a8 b5 70 8a a9 9c ab ab 20 +a4 aa 78 3e d8 6f 0f 27 b5 d5 63 f4 2e 07 15 8c +ea 72 d0 97 aa 68 87 ec 41 1d d0 12 91 2a 5e 03 +2b bf a6 78 50 71 44 bc c9 5f 39 b5 8b e7 bf d1 +75 9a db 9a 91 fa 1d 6d 82 26 a8 34 3a 8b 84 9d +ae 76 f7 b9 82 24 d5 9e 28 f7 81 f1 3e ce 60 5f +84 f6 c9 0b ae 5f 8c f3 78 81 6f 40 20 a7 dd a1 +be d9 0c 92 a2 36 34 d2 03 fa c3 fc d8 6d 68 d3 +18 2a 7d 9c ca be 7b 07 95 f5 c6 55 e9 ac c4 e3 +ec 18 51 40 d1 0c ef 05 34 64 ab 17 5c 83 bd 83 +93 5e 3d ab af 34 62 ee be 63 d1 5f 57 3d 26 9a + +# Signature: +4e 78 c5 90 2b 80 79 14 d1 2f a5 37 ae 68 71 c8 +6d b8 02 1e 55 d1 ad b8 eb 0c cf 1b 8f 36 ab 7d +ad 1f 68 2e 94 7a 62 70 72 f0 3e 62 73 71 78 1d +33 22 1d 17 4a be 46 0d bd 88 56 0c 22 f6 90 11 +6e 2f bb e6 e9 64 36 3a 3e 52 83 bb 5d 94 6e f1 +c0 04 7e ba 03 8c 75 6c 40 be 79 23 05 58 09 b0 +e9 f3 4a 03 a5 88 15 eb dd e7 67 93 1f 01 8f 6f +18 78 f2 ef 4f 47 dd 37 40 51 dd 48 68 5d ed 6e +fb 3e a8 02 1f 44 be 1d 7d 14 93 98 f9 8e a9 c0 +8d 62 88 8e bb 56 19 2d 17 74 7b 6b 8e 17 09 54 +31 f1 25 a8 a8 e9 96 2a a3 1c 28 52 64 e0 8f b2 +1a ac 33 6c e6 c3 8a a3 75 e4 2b c9 2a b0 ab 91 +03 84 31 e1 f9 2c 39 d2 af 5d ed 7e 43 bc 15 1e +6e be a4 c3 e2 58 3a f3 43 7e 82 c4 3c 5e 3b 5b +07 cf 03 59 68 3d 22 98 e3 59 48 ed 80 6c 06 3c +60 6e a1 78 15 0b 1e fc 15 85 69 34 c7 25 5c fe + +# PKCS#1 v1.5 Signature Example 15.13 + +# ----------------- + +# Message to be signed: +eb ae f3 f9 f2 3b df e5 fa 6b 8a f4 c2 08 c1 89 +f2 25 1b f3 2f 5f 13 7b 9d e4 40 63 78 68 6b 3f +07 21 f6 2d 24 cb 86 88 d6 fc 41 a2 7c ba e2 1d +30 e4 29 fe ac c7 11 19 41 c2 77 + +# Signature: +c4 8d be f5 07 11 4f 03 c9 5f af be b4 df 1b fa +88 e0 18 4a 33 cc 4f 8a 9a 10 35 ff 7f 82 2a 5e +38 cd a1 87 23 91 5f f0 78 24 44 29 e0 f6 08 1c +14 fd 83 33 1f a6 5c 6b a7 bb 9a 12 db f6 62 23 +74 cd 0c a5 7d e3 77 4e 2b d7 ae 82 36 77 d0 61 +d5 3a e9 c4 04 0d 2d a7 ef 70 14 f3 bb dc 95 a3 +61 a4 38 55 c8 ce 9b 97 ec ab ce 17 4d 92 62 85 +14 2b 53 4a 30 87 f9 f4 ef 74 51 1e c7 42 b0 d5 +68 56 03 fa f4 03 b5 07 2b 98 5d f4 6a df 2d 25 +29 a0 2d 40 71 1e 21 90 91 70 52 37 1b 79 b7 49 +b8 3a bf 0a e2 94 86 c3 f2 f6 24 77 b2 bd 36 2b +03 9c 01 3c 0c 50 76 ef 52 0d bb 40 5f 42 ce e9 +54 25 c3 73 a9 75 e1 cd d0 32 c4 96 22 c8 50 79 +b0 9e 88 da b2 b1 39 69 ef 7a 72 39 73 78 10 40 +45 9f 57 d5 01 36 38 48 3d e2 d9 1c b3 c4 90 da +81 c4 6d e6 cd 76 ea 8a 0c 8f 6f e3 31 71 2d 24 + +# PKCS#1 v1.5 Signature Example 15.14 + +# ----------------- + +# Message to be signed: +c5 a2 71 12 78 76 1d fc dd 4f 0c 99 e6 f5 61 9d +6c 48 b5 d4 c1 a8 09 82 fa a6 b4 cf 1c f7 a6 0f +f3 27 ab ef 93 c8 01 42 9e fd e0 86 40 85 81 46 +10 56 ac c3 3f 3d 04 f5 ad a2 12 16 ca cd 5f d1 +f9 ed 83 20 3e 0e 2f e6 13 8e 3e ae 84 24 e5 91 +5a 08 3f 3f 7a b7 60 52 c8 be 55 ae 88 2d 6e c1 +48 2b 1e 45 c5 da e9 f4 10 15 40 53 27 02 2e c3 +2f 0e a2 42 97 63 b2 55 04 3b 19 58 ee 3c f6 d6 +39 83 59 6e b3 85 84 4f 85 28 cc 9a 98 65 83 5d +c5 11 3c 02 b8 0d 0f ca 68 aa 25 e7 2b ca ae b3 +cf 9d 79 d8 4f 98 4f d4 17 + +# Signature: +6b d5 25 7a a0 66 11 fb 46 60 08 7c b4 bc 4a 9e +44 91 59 d3 16 52 bd 98 08 44 da f3 b1 c7 b3 53 +f8 e5 61 42 f7 ea 98 57 43 3b 18 57 3b 4d ee de +81 8a 93 b0 29 02 97 78 3f 1a 2f 23 cb c7 27 97 +a6 72 53 7f 01 f6 24 84 cd 41 62 c3 21 4b 9a c6 +28 22 4c 5d e0 1f 32 bb 9b 76 b2 73 54 f2 b1 51 +d0 e8 c4 21 3e 46 15 ad 0b c7 1f 51 5e 30 0d 6a +64 c6 74 34 11 ff fd e8 e5 ff 19 0e 54 92 30 43 +12 6e cf c4 c4 53 90 22 66 8f b6 75 f2 5c 07 e2 +00 99 ee 31 5b 98 d6 af ec 4b 1a 9a 93 dc 33 49 +6a 15 bd 6f de 16 63 a7 d4 9b 9f 1e 63 9d 38 66 +4b 37 a0 10 b1 f3 5e 65 86 82 d9 cd 63 e5 7d e0 +f1 5e 8b dd 09 65 58 f0 7e c0 ca a2 18 a8 c0 6f +47 88 45 39 40 28 7c 9d 34 b6 d4 0a 3f 09 bf 77 +99 fe 98 ae 4e b4 9f 3f f4 1c 50 40 a5 0c ef c9 +bd f2 39 4b 74 9c f1 64 48 0d f1 ab 68 80 27 3b + +# PKCS#1 v1.5 Signature Example 15.15 + +# ----------------- + +# Message to be signed: +9b f8 aa 25 3b 87 2e a7 7a 7e 23 47 6b e2 6b 23 +29 57 8c f6 ac 9e a2 80 5b 35 7f 6f c3 ad 13 0d +ba eb 3d 86 9a 13 cc e7 a8 08 bb bb c9 69 85 7e +03 94 5c 7b b6 1d f1 b5 c2 58 9b 8e 04 6c 2a 5d +7e 40 57 b1 a7 4f 24 c7 11 21 63 64 28 85 29 ec +95 70 f2 51 97 21 3b e1 f5 c2 e5 96 f8 bf 8b 2c +f3 cb 38 aa 56 ff e5 e3 1d f7 39 58 20 e9 4e cf +3b 11 89 a9 65 dc f9 a9 cb 42 98 d3 c8 8b 29 23 +c1 9f c6 bc 34 aa ce ca d4 e0 93 1a 7c 4e 5d 73 +dc 86 df a7 98 a8 47 6d 82 46 3e ef aa 90 a8 a9 +19 2a b0 8b 23 08 8d d5 8e 12 80 f7 d7 2e 45 48 +39 6b aa c1 12 25 2d d5 c5 34 6a db 20 04 a2 f7 +10 1c cc 89 9c c7 fa fa e8 bb e2 95 73 88 96 a5 +b2 01 22 85 01 4e f6 + +# Signature: +27 f7 f4 da 9b d6 10 10 6e f5 7d 32 38 3a 44 8a +8a 62 45 c8 3d c1 30 9c 6d 77 0d 35 7b a8 9e 73 +f2 ad 08 32 06 2e b0 fe 0a c9 15 57 5b cd 6b 8b +ca db 4e 2b a6 fa 9d a7 3a 59 17 51 52 b2 d4 fe +72 b0 70 c9 b7 37 9e 50 00 0e 55 e6 c2 69 f6 65 +8c 93 79 72 79 7d 3a dd 69 f1 30 e3 4b 85 bd ec +9f 3a 9b 39 22 02 d6 f3 e4 30 d0 9c ac a8 22 77 +59 ab 82 5f 70 12 d2 ff 4b 5b 62 c8 50 4d ba d8 +55 c0 5e dd 5c ab 5a 4c cc dc 67 f0 1d d6 51 7c +7d 41 c4 3e 2a 49 57 af f1 9d b6 f1 8b 17 85 9a +f0 bc 84 ab 67 14 6e c1 a4 a6 0a 17 d7 e0 5f 8b +4f 9c ed 6a d1 09 08 d8 d7 8f 7f c8 8b 76 ad c8 +29 0f 87 da f2 a7 be 10 ae 40 85 21 39 5d 54 ed +25 56 fb 76 61 85 4a 73 0c e3 d8 2c 71 a8 d4 93 +ec 49 a3 78 ac 8a 3c 74 43 9f 7c c5 55 ba 13 f8 +59 07 08 90 ee 18 ff 65 8f a4 d7 41 96 9d 70 a5 + +# PKCS#1 v1.5 Signature Example 15.16 + +# ----------------- + +# Message to be signed: +32 47 48 30 e2 20 37 54 c8 bf 06 81 dc 4f 84 2a +fe 36 09 30 37 86 16 c1 08 e8 33 65 6e 56 40 c8 +68 56 88 5b b0 5d 1e b9 43 8e fe de 67 92 63 de +07 cb 39 55 3f 6a 25 e0 06 b0 a5 23 11 a0 63 ca +08 82 66 d2 56 4f f6 49 0c 46 b5 60 98 18 54 8f +88 76 4d ad 34 a2 5e 3a 85 d5 75 02 3f 0b 9e 66 +50 48 a0 3c 35 05 79 a9 d3 24 46 c7 bb 96 cc 92 +e0 65 ab 94 d3 c8 95 2e 8d f6 8e f0 d9 fa 45 6b +3a 06 bb 80 e3 bb c4 b2 8e 6a 94 b6 d0 ff 76 96 +a6 4e fe 05 e7 35 fe a0 25 d7 bd bc 41 39 f3 a3 +b5 46 07 5c ba 7e fa 94 73 74 d3 f0 ac 80 a6 8d +76 5f 5d f6 21 0b ca 06 9a 2d 88 64 7a f7 ea 04 +2d ac 69 0c b5 73 78 ec 07 77 61 4f b8 b6 5f f4 +53 ca 6b 7d ce 60 98 45 1a 2f 8c 0d a9 bf ec f1 +fd f3 91 bb aa 4e 2a 91 ca 18 a1 12 1a 75 23 a2 +ab d4 25 14 f4 89 e8 + +# Signature: +69 17 43 72 57 c2 2c cb 54 03 29 0c 3d ee 82 d9 +cf 75 50 b3 1b d3 1c 51 bd 57 bf d3 5d 45 2a b4 +db 7c 4b e6 b2 e2 5a c9 a5 9a 1d 2a 7f eb 62 7f +0a fd 49 76 b3 00 3c c9 cf fd 88 96 50 5e c3 82 +f2 65 10 4d 4c f8 c9 32 fa 9f e8 6e 00 87 07 95 +99 12 38 9d a4 b2 d6 b3 69 b3 6a 5e 72 e2 9d 24 +c9 a9 8c 9d 31 a3 ab 44 e6 43 e6 94 12 66 a4 7a +45 e3 44 6c e8 77 6a be 24 1a 8f 5f c6 42 3b 24 +b1 ff 25 0d c2 c3 a8 17 23 53 56 10 77 e8 50 a7 +69 b2 5f 03 25 da c8 89 65 a3 b9 b4 72 c4 94 e9 +5f 71 9b 4e ac 33 2c aa 7a 65 c7 df e4 6d 9a a7 +e6 e0 0f 52 5f 30 3d d6 3a b7 91 92 18 90 18 68 +f9 33 7f 8c d2 6a af e6 f3 3b 7f b2 c9 88 10 af +19 f7 fc b2 82 ba 15 77 91 2c 1d 36 89 75 fd 5d +44 0b 86 e1 0c 19 97 15 fa 0b 6f 42 50 b5 33 73 +2d 0b ef e1 54 51 50 fc 47 b8 76 de 09 b0 0a 94 + +# PKCS#1 v1.5 Signature Example 15.17 + +# ----------------- + +# Message to be signed: +00 8e 59 50 5e af b5 50 aa e5 e8 45 58 4c eb b0 +0b 6d e1 73 3e 9f 95 d4 2c 88 2a 5b be b5 ce 1c +57 e1 19 e7 c0 d4 da ca 9f 1f f7 87 02 17 f7 cf +d8 a6 b3 73 97 7c ac 9c ab 8e 71 e4 20 + +# Signature: +92 25 03 b6 73 ee 5f 3e 69 1e 1c a8 5e 9f f4 17 +3c f7 2b 05 ac 2c 13 1d a5 60 35 93 e3 bc 25 9c +94 c1 f7 d3 a0 6a 5b 98 91 bf 11 3f a3 9e 59 ff +7c 1e d6 46 5e 90 80 49 cb 89 e4 e1 25 cd 37 d2 +ff d9 22 7a 41 b4 a0 a1 9c 0a 44 fb bf 3d e5 5b +ab 80 20 87 a3 bb 8d 4f f6 68 ee 6b bb 8a d8 9e +68 57 a7 9a 9c 72 78 19 90 df cf 92 cd 51 94 04 +c9 50 f1 3d 11 43 c3 18 4f 1d 25 0c 90 e1 7a c6 +ce 36 16 3b 98 95 62 7a d6 ff ec 14 22 44 1f 55 +e4 49 9d ba 9b e8 95 46 ae 8b c6 3c ca 01 dd 08 +46 3a e7 f1 fc e3 d8 93 99 69 38 77 8c 18 12 e6 +74 ad 9c 30 9c 5a cc a3 fd e4 4e 7d d8 69 59 93 +e9 c1 fa 87 ac da 99 ec e5 c8 49 9e 46 89 57 ad +66 35 9b f1 2a 51 ad be 78 d3 a2 13 b4 49 bf 0b +5f 8d 4d 49 6a cf 03 d3 03 3b 7c cd 19 6b c2 2f +68 fb 7b ef 4f 69 7c 5e a2 b3 50 62 f4 8a 36 dd + +# PKCS#1 v1.5 Signature Example 15.18 + +# ----------------- + +# Message to be signed: +6a bc 54 cf 8d 1d ff 1f 53 b1 7d 81 60 36 88 78 +a8 78 8c c6 d2 2f a5 c2 25 8c 88 e6 60 b0 9a 89 +33 f9 f2 c0 50 4d da dc 21 f6 e7 5e 0b 83 3b eb +55 52 29 de e6 56 b9 04 7b 92 f6 2e 76 b8 ff cc +60 da b0 6b 80 + +# Signature: +0b 6d af 42 f7 a8 62 14 7e 41 74 93 c2 c4 01 ef +ae 32 63 6a b4 cb d4 41 92 bb f5 f1 95 b5 0a e0 +96 a4 75 a1 61 4f 0a 9f a8 f7 a0 26 cb 46 c6 50 +6e 51 8e 33 d8 3e 56 47 7a 87 5a ca 8c 7e 71 4c +e1 bd bd 61 ef 5d 53 52 39 b3 3f 2b fd d6 17 71 +ba b6 27 76 d7 81 71 a1 42 3c ea 87 31 f8 2e 60 +76 6d 64 54 26 56 20 b1 5f 5c 5a 58 4f 55 f9 5b +80 2f e7 8c 57 4e d5 da cf c8 31 f3 cf 2b 05 02 +c0 b2 98 f2 5c cf 11 f9 73 b3 1f 85 e4 74 42 19 +85 f3 cf f7 02 df 39 46 ef 0a 66 05 68 21 11 b2 +f5 5b 1f 8a b0 d2 ea 3a 68 3c 69 98 5e ad 93 ed +44 9e a4 8f 03 58 dd f7 08 02 cb 41 de 2f d8 3f +3c 80 80 82 d8 49 36 94 8e 0c 84 a1 31 b4 92 78 +27 46 05 27 bb 5c d2 4b fa b7 b4 8e 07 1b 24 17 +19 30 f9 97 63 27 2f 97 97 bc b7 6f 1d 24 81 57 +55 58 fc f2 60 b1 f0 e5 54 eb b3 df 3c fc b9 58 + +# PKCS#1 v1.5 Signature Example 15.19 + +# ----------------- + +# Message to be signed: +af 2d 78 15 2c f1 0e fe 01 d2 74 f2 17 b1 77 f6 +b0 1b 5e 74 9f 15 67 71 5d a3 24 85 9c d3 dd 88 +db 84 8e c7 9f 48 db ba 7b 6f 1d 33 11 1e f3 1b +64 89 9e 73 91 c2 bf fd 69 f4 90 25 cf 20 1f c5 +85 db d1 54 2c 1c 77 8a 2c e7 a7 ee 10 8a 30 9f +ec a2 6d 13 3a 5f fe dc 4e 86 9d cd 76 56 59 6a +c8 42 7e a3 ef 6e 3f d7 8f e9 9d 8d dc 71 d8 39 +f6 78 6e 0d a6 e7 86 bd 62 b3 a4 f1 9b 89 1a 56 +15 7a 55 4e c2 a2 b3 9e 25 a1 d7 c7 d3 73 21 c7 +a1 d9 46 cf 4f be 75 8d 92 76 f0 85 63 44 9d 67 +41 4a 2c 03 0f 42 51 cf e2 21 3d 04 a5 41 06 37 +87 + +# Signature: +20 9c 61 15 78 57 38 7b 71 e2 4b f3 dd 56 41 45 +50 50 3b ec 18 0f f5 3b dd 9b ac 06 2a 2d 49 95 +09 bf 99 12 81 b7 95 27 df 91 36 61 5b 7a 6d 9d +b3 a1 03 b5 35 e0 20 2a 2c ac a1 97 a7 b7 4e 53 +56 f3 dd 59 5b 49 ac fd 9d 30 04 9a 98 ca 88 f6 +25 bc a1 d5 f2 2a 39 2d 8a 74 9e fb 6e ed 9b 78 +21 d3 11 0a c0 d2 44 19 9e cb 4a a3 d7 35 a8 3a +2e 88 93 c6 bf 85 81 38 3c ca ee 83 46 35 b7 fa +1f af fa 45 b1 3d 15 c1 da 33 af 71 e8 93 03 d6 +80 90 ff 62 ee 61 5f df 5a 84 d1 20 71 1d a5 3c +28 89 19 8a b3 83 17 a9 73 4a b2 7d 67 92 4c ea +74 15 6f f9 9b ef 98 76 bb 5c 33 9e 93 74 52 83 +e1 b3 4e 07 22 26 b8 80 45 e0 17 e9 f0 5b 2a 8c +41 67 40 25 8e 22 3b 26 90 02 74 91 73 22 73 f3 +22 9d 9e f2 b1 b3 80 7e 32 10 18 92 0a d3 e5 3d +ae 47 e6 d9 39 5c 18 4b 93 a3 74 c6 71 fa a2 ce + +# PKCS#1 v1.5 Signature Example 15.20 + +# ----------------- + +# Message to be signed: +40 ee 99 24 58 d6 f6 14 86 d2 56 76 a9 6d d2 cb +93 a3 7f 04 b1 78 48 2f 2b 18 6c f8 82 15 27 0d +ba 29 d7 86 d7 74 b0 c5 e7 8c 7f 6e 56 a9 56 e7 +f7 39 50 a2 b0 c0 c1 0a 08 db cd 67 e5 b2 10 bb +21 c5 8e 27 67 d4 4f 7d d4 01 4e 39 66 14 3b f7 +e3 d6 6f f0 c0 9b e4 c5 5f 93 b3 99 94 b8 51 8d +9c 1d 76 d5 b4 73 74 de a0 8f 15 7d 57 d7 06 34 +97 8f 38 56 e0 e5 b4 81 af bb db 5a 3a c4 8d 48 +4b e9 2c 93 de 22 91 78 35 4c 2d e5 26 e9 c6 5a +31 ed e1 ef 68 cb 63 98 d7 91 16 84 fe c0 ba bc +3a 78 1a 66 66 07 83 50 69 74 d0 e1 48 25 10 1c +3b fa ea + +# Signature: +92 75 02 b8 24 af c4 25 13 ca 65 70 de 33 8b 8a +64 c3 a8 5e b8 28 d3 19 36 24 f2 7e 8b 10 29 c5 +5c 11 9c 97 33 b1 8f 58 49 b3 50 09 18 bc c0 05 +51 d9 a8 fd f5 3a 97 74 9f a8 dc 48 0d 6f e9 74 +2a 58 71 f9 73 92 65 28 97 2a 1a f4 9e 39 25 b0 +ad f1 4a 84 27 19 b4 a5 a2 d8 9f a9 c0 b6 60 5d +21 2b ed 1e 67 23 b9 34 06 ad 30 e8 68 29 a5 c7 +19 b8 90 b3 89 30 6d c5 50 64 86 ee 2f 36 a8 df +e0 a9 6a f6 78 c9 cb d6 af f3 97 ca 20 0e 3e dc +1e 36 bd 2f 08 b3 1d 54 0c 0c b2 82 a9 55 9e 4a +dd 4f c9 e6 49 2e ed 0c cb d3 a6 98 2e 5f aa 2d +dd 17 be 47 41 7c 80 b4 e5 45 2d 31 f7 24 01 a0 +42 32 51 09 54 4d 95 4c 01 93 90 79 d4 09 a5 c3 +78 d7 51 2d fc 2d 2a 71 ef cc 34 32 a7 65 d1 c6 +a5 2c fc e8 99 cd 79 b1 5b 4f c3 72 36 41 ef 6b +d0 0a cc 10 40 7e 5d f5 8d d1 c3 c5 c5 59 a5 06 + +# =============================================