/* p192.c */ /* This file is part of the AVR-Crypto-Lib. Copyright (C) 2006-2015 Daniel Otte (bg@nerilex.org) 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 "ecc.h" #include "nist_p192.h" #include #include #include "bigint_io.h" #define printf_P(...) #define bigint_print_hex(a) #undef putchar #define putchar(a) /* * p = 6277101735386680763835789423207666416083908700390324961279 * = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF */ uint8_t nist_curve_p192_p_w[] = { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }; uint8_t nist_curve_p192_n_w[] = { 0x31, 0x28, 0xd2, 0xb4, 0xb1, 0xc9, 0x6b, 0x14, 0x36, 0xf8, 0xde, 0x99, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }; uint8_t nist_curve_p192_b_w[] = { 0xb1, 0xb9, 0x46, 0xc1, 0xec, 0xde, 0xb8, 0xfe, 0x49, 0x30, 0x24, 0x72, 0xab, 0xe9, 0xa7, 0x0f, 0xe7, 0x80, 0x9c, 0xe5, 0x19, 0x05, 0x21, 0x64 }; uint8_t nist_curve_p192_gx_w[] = { 0x12, 0x10, 0xff, 0x82, 0xfd, 0x0a, 0xff, 0xf4, 0x00, 0x88, 0xa1, 0x43, 0xeb, 0x20, 0xbf, 0x7c, 0xf6, 0x90, 0x30, 0xb0, 0x0e, 0xa8, 0x8d, 0x18 }; uint8_t nist_curve_p192_gy_w[] = { 0x11, 0x48, 0x79, 0x1e, 0xa1, 0x77, 0xf9, 0x73, 0xd5, 0xcd, 0x24, 0x6b, 0xed, 0x11, 0x10, 0x63, 0x78, 0xda, 0xc8, 0xff, 0x95, 0x2b, 0x19, 0x07 }; uint8_t nist_curve_p192_z1_w[192 / BIGINT_WORD_SIZE] = { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; uint8_t nist_curve_p192_z2_w[192 / BIGINT_WORD_SIZE] = { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; uint8_t nist_curve_p192_z3_w[192 / BIGINT_WORD_SIZE] = { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; bigint_t nist_curve_p192_p = { .length_W = 192 / BIGINT_WORD_SIZE, .wordv = nist_curve_p192_p_w, .info = 7 }; bigint_t nist_curve_p192_n = { .length_W = 192 / BIGINT_WORD_SIZE, .wordv = nist_curve_p192_n_w, .info = 7 }; bigint_t nist_curve_p192_b = { .length_W = 192 / BIGINT_WORD_SIZE, .wordv = nist_curve_p192_b_w, .info = 6 }; ecc_combi_point_t nist_curve_p192_basepoint = { .chudnovsky = { .x = { .length_W = 192 / BIGINT_WORD_SIZE, .wordv = nist_curve_p192_gx_w, .info = 4 }, .y = { .length_W = 192 / BIGINT_WORD_SIZE, .wordv = nist_curve_p192_gy_w, .info = 2 }, .z1 = { .length_W = 1, .wordv = nist_curve_p192_z1_w, .info = 0 }, .z2 = { .length_W = 1, .wordv = nist_curve_p192_z2_w, .info = 0 }, .z3 = { .length_W = 1, .wordv = nist_curve_p192_z3_w, .info = 0 } } }; ecc_curve_sp_t nist_curve_p192 = { .b = &nist_curve_p192_b, .p = &nist_curve_p192_p, .n = &nist_curve_p192_n, .reduce_p = bigint_reduce_p192 }; /* * A = ( A5 || A4 || A3 || A2 || A1 || A0 ) ; An is 64-bit * A mod p = B = T + S1 + S2 + S3 mod p * * T = ( A2 || A1 || A0 ) * S1 = ( 0 || A3 || A3 ) * S2 = ( A4 || A4 || 0 ) * S3 = ( A5 || A5 || A5 ) * */ int bigint_reduce_p192(bigint_t *a){ bigint_word_t s_w[3 * 64 / BIGINT_WORD_SIZE]; bigint_t s; uint16_t o_length; if(a->info & BIGINT_NEG_MASK){ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); /* negative value */ a->info &= ~BIGINT_NEG_MASK; bigint_reduce_p192(a); a->info |= BIGINT_NEG_MASK; bigint_add_s(a, a, &nist_curve_p192_p); return 0; } o_length = a->length_W; if(o_length < 192 / BIGINT_WORD_SIZE){ return 0; } if(o_length > 192 * 2 / BIGINT_WORD_SIZE){ bigint_reduce(a, &nist_curve_p192_p); } if(o_length > 192 / BIGINT_WORD_SIZE){ s.wordv = s_w; s.length_W = 2 * 64 / BIGINT_WORD_SIZE; s.info = 0; printf_P(PSTR("DBG: Line: %d\n"), __LINE__); /* * copy A3 twice in s */ if(o_length >= 4 * 64 / BIGINT_WORD_SIZE){ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); memcpy(s.wordv, a->wordv + 3 * 64 / BIGINT_WORD_SIZE, 64 / 8); }else{ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); memset(s.wordv, 0, 8); memcpy(s.wordv, a->wordv + 3 * 64 / BIGINT_WORD_SIZE, o_length * BIGINT_WORD_SIZE / 8 - 3 * 64 / 8); } memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8); bigint_adjust(&s); /* * Set A3 to zero so we can use a as T */ memset(a->wordv + 3 * 64 / BIGINT_WORD_SIZE, 0, sizeof(bigint_word_t)); a->length_W = 3 * 64 / BIGINT_WORD_SIZE; bigint_adjust(a); /* * Add s (alias S1) to a (alias T) */ printf_P(PSTR("T: ")); bigint_print_hex(a); putchar('\n'); printf_P(PSTR("s1: ")); bigint_print_hex(&s); putchar('\n'); bigint_add_u(a, a, &s); if(o_length > 4 * 64 / BIGINT_WORD_SIZE){ s.length_W = 2 * 64 / BIGINT_WORD_SIZE; /* * copy A4 twice in s */ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); if(o_length >= 5 * 64 / BIGINT_WORD_SIZE){ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); memcpy(s.wordv, a->wordv + 4 * 64 / BIGINT_WORD_SIZE, 64 / 8); }else{ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); memset(s.wordv, 0, 8); memcpy(s.wordv, a->wordv + 4 * 64 / BIGINT_WORD_SIZE, o_length * BIGINT_WORD_SIZE / 8 - 4 * 64 / 8); } memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8); bigint_adjust(&s); /* * Add s (alias S2) to a (alias T + S1) */ printf_P(PSTR("s2: ")); bigint_print_hex(&s); putchar('\n'); bigint_add_scale_u(a, &s, 8); if(o_length > 5 * 64 / BIGINT_WORD_SIZE){ /* * copy A5 three times in s */ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); if(o_length == 6 * 64 / BIGINT_WORD_SIZE){ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); memcpy(s.wordv, a->wordv + 5 * 64 / BIGINT_WORD_SIZE, 64 / 8); } else { printf_P(PSTR("DBG: Line: %d\n"), __LINE__); memset(s.wordv, 0, 8); memcpy(s.wordv, a->wordv + 5 * 64 / BIGINT_WORD_SIZE, o_length * BIGINT_WORD_SIZE / 8 - 5 * 64 / 8); } memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8); memcpy(s.wordv + 2 * 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8); s.length_W = 3 * 64 / BIGINT_WORD_SIZE; bigint_adjust(&s); /* * Add s (alias S2) to a (alias T + S1) */ printf_P(PSTR("s3: ")); bigint_print_hex(&s); putchar('\n'); bigint_add_u(a, a, &s); } } } printf_P(PSTR("pre-result: ")); bigint_print_hex(a); putchar('\n'); while(bigint_cmp_u(a, &nist_curve_p192_p) >= 0){ printf_P(PSTR("DBG: Line: %d\n"), __LINE__); bigint_sub_u(a, a, &nist_curve_p192_p); } printf_P(PSTR("result: ")); bigint_print_hex(a); putchar('\n'); return 0; }