[arm-crypto] basic crt mode for RSA
This commit is contained in:
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3edc70ba3f
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@ -29,8 +29,55 @@ void rsa_enc(bigint_t* data, rsa_publickey_t* key){
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bigint_expmod_u(data, data, key->exponent, key->modulus);
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}
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void rsa_dec(bigint_t* data, rsa_privatekey_t* key){
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bigint_expmod_u(data, data, key->exponent, key->modulus);
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/*
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(p,q,dp,dq,qinv)
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m1 = c**dp % p
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m2 = c**dq % q
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h = (m1 - m2) * qinv % p
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m = m2 + q * h
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*/
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uint8_t rsa_dec_crt_mono(bigint_t* data, rsa_privatekey_t* key){
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bigint_t m1, m2;
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m1.wordv = malloc(key->components[0]->length_B * sizeof(bigint_word_t));
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m2.wordv = malloc(key->components[1]->length_B * sizeof(bigint_word_t));
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if(!m1.wordv || !m2.wordv){
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free(m1.wordv);
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free(m2.wordv);
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return 1;
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}
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bigint_expmod_u(&m1, data, key->components[2], key->components[0]);
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bigint_expmod_u(&m2, data, key->components[3], key->components[1]);
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bigint_sub_s(&m1, &m1, &m2);
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while(BIGINT_NEG_MASK & m1.info){
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bigint_add_s(&m1, &m1, key->components[0]);
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}
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bigint_reduce(&m1, key->components[0]);
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bigint_mul_u(data, &m1, key->components[4]);
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bigint_reduce(data, key->components[0]);
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bigint_mul_u(data, data, key->components[1]);
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bigint_add_u(data, data, &m2);
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free(m1.wordv);
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free(m2.wordv);
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return 0;
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}
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uint8_t rsa_dec(bigint_t* data, rsa_privatekey_t* key){
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if(key->n == 1){
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bigint_expmod_u(data, data, key->components[0], key->modulus);
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return 0;
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}
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if(key->n == 5){
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if (rsa_dec_crt_mono(data, key)){
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return 3;
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}
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return 0;
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}
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if(key->n<8 || (key->n-5)%3 != 0){
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return 1;
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}
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//rsa_dec_crt_multi(data, key, (key->n-5)/3);
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return 2;
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}
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void rsa_os2ip(bigint_t* dest, const void* data, uint32_t length_B){
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@ -28,20 +28,20 @@ typedef struct {
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} rsa_publickey_t;
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typedef struct {
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bigint_t* exponent;
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uint8_t n;
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bigint_t* modulus;
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bigint_t** components;
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} rsa_privatekey_t;
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typedef struct {
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bigint_t* public_exponent;
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bigint_t* private_exponent;
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bigint_t* modulus;
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rsa_privatekey_t priv;
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rsa_publickey_t pub;
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} rsa_fullkey_t;
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void rsa_enc(bigint_t* data, rsa_publickey_t* key);
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void rsa_dec(bigint_t* data, rsa_privatekey_t* key);
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uint8_t rsa_dec(bigint_t* data, rsa_privatekey_t* key);
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void rsa_os2ip(bigint_t* dest, const void* data, uint32_t length_B);
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void rsa_i2osp(void* dest, bigint_t* src, uint16_t* out_length_B);
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@ -69,7 +69,9 @@ uint8_t rsa_decrypt_pkcs15(void* dest, uint16_t* out_length, const void* src,
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uint16_t m_length, pad_length=0, idx=0;
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x.wordv = dest;
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rsa_os2ip(&x, src, length_B);
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cli_putstr("\r\ncalling rsa_dec() ...");
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rsa_dec(&x, key);
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cli_putstr("\r\nfinished rsa_dec() ...");
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rsa_i2osp(NULL, &x, &m_length);
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while(((uint8_t*)x.wordv)[idx]==0 && idx<m_length){
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++idx;
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@ -63,6 +63,42 @@ const uint8_t private_exponent[] = {
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0xb7, 0x8a, 0xd8, 0x84, 0xf8, 0x4d, 0x5b, 0xeb, 0x04, 0x72, 0x4d, 0xc7, 0x36, 0x9b, 0x31, 0xde,
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0xf3, 0x7d, 0x0c, 0xf5, 0x39, 0xe9, 0xcf, 0xcd, 0xd3, 0xde, 0x65, 0x37, 0x29, 0xea, 0xd5, 0xd1
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};
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const uint8_t p[] = {
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0xd3, 0x27, 0x37, 0xe7, 0x26, 0x7f, 0xfe, 0x13, 0x41, 0xb2, 0xd5, 0xc0, 0xd1, 0x50, 0xa8, 0x1b,
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0x58, 0x6f, 0xb3, 0x13, 0x2b, 0xed, 0x2f, 0x8d, 0x52, 0x62, 0x86, 0x4a, 0x9c, 0xb9, 0xf3, 0x0a,
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0xf3, 0x8b, 0xe4, 0x48, 0x59, 0x8d, 0x41, 0x3a, 0x17, 0x2e, 0xfb, 0x80, 0x2c, 0x21, 0xac, 0xf1,
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0xc1, 0x1c, 0x52, 0x0c, 0x2f, 0x26, 0xa4, 0x71, 0xdc, 0xad, 0x21, 0x2e, 0xac, 0x7c, 0xa3, 0x9d
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};
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const uint8_t q[] = {
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0xcc, 0x88, 0x53, 0xd1, 0xd5, 0x4d, 0xa6, 0x30, 0xfa, 0xc0, 0x04, 0xf4, 0x71, 0xf2, 0x81, 0xc7,
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0xb8, 0x98, 0x2d, 0x82, 0x24, 0xa4, 0x90, 0xed, 0xbe, 0xb3, 0x3d, 0x3e, 0x3d, 0x5c, 0xc9, 0x3c,
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0x47, 0x65, 0x70, 0x3d, 0x1d, 0xd7, 0x91, 0x64, 0x2f, 0x1f, 0x11, 0x6a, 0x0d, 0xd8, 0x52, 0xbe,
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0x24, 0x19, 0xb2, 0xaf, 0x72, 0xbf, 0xe9, 0xa0, 0x30, 0xe8, 0x60, 0xb0, 0x28, 0x8b, 0x5d, 0x77
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};
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const uint8_t dp[] = {
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0x0e, 0x12, 0xbf, 0x17, 0x18, 0xe9, 0xce, 0xf5, 0x59, 0x9b, 0xa1, 0xc3, 0x88, 0x2f, 0xe8, 0x04,
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0x6a, 0x90, 0x87, 0x4e, 0xef, 0xce, 0x8f, 0x2c, 0xcc, 0x20, 0xe4, 0xf2, 0x74, 0x1f, 0xb0, 0xa3,
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0x3a, 0x38, 0x48, 0xae, 0xc9, 0xc9, 0x30, 0x5f, 0xbe, 0xcb, 0xd2, 0xd7, 0x68, 0x19, 0x96, 0x7d,
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0x46, 0x71, 0xac, 0xc6, 0x43, 0x1e, 0x40, 0x37, 0x96, 0x8d, 0xb3, 0x78, 0x78, 0xe6, 0x95, 0xc1
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};
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const uint8_t dq[] = {
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0x95, 0x29, 0x7b, 0x0f, 0x95, 0xa2, 0xfa, 0x67, 0xd0, 0x07, 0x07, 0xd6, 0x09, 0xdf, 0xd4, 0xfc,
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0x05, 0xc8, 0x9d, 0xaf, 0xc2, 0xef, 0x6d, 0x6e, 0xa5, 0x5b, 0xec, 0x77, 0x1e, 0xa3, 0x33, 0x73,
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0x4d, 0x92, 0x51, 0xe7, 0x90, 0x82, 0xec, 0xda, 0x86, 0x6e, 0xfe, 0xf1, 0x3c, 0x45, 0x9e, 0x1a,
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0x63, 0x13, 0x86, 0xb7, 0xe3, 0x54, 0xc8, 0x99, 0xf5, 0xf1, 0x12, 0xca, 0x85, 0xd7, 0x15, 0x83
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};
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const uint8_t qinv[] = {
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0x4f, 0x45, 0x6c, 0x50, 0x24, 0x93, 0xbd, 0xc0, 0xed, 0x2a, 0xb7, 0x56, 0xa3, 0xa6, 0xed, 0x4d,
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0x67, 0x35, 0x2a, 0x69, 0x7d, 0x42, 0x16, 0xe9, 0x32, 0x12, 0xb1, 0x27, 0xa6, 0x3d, 0x54, 0x11,
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0xce, 0x6f, 0xa9, 0x8d, 0x5d, 0xbe, 0xfd, 0x73, 0x26, 0x3e, 0x37, 0x28, 0x14, 0x27, 0x43, 0x81,
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0x81, 0x66, 0xed, 0x7d, 0xd6, 0x36, 0x87, 0xdd, 0x2a, 0x8c, 0xa1, 0xd2, 0xf4, 0xfb, 0xd8, 0xe1,
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};
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/*
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# PKCS#1 v1.5 encryption of 20 random messages with random seeds
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# ---------------------------------------------------------------------------
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@ -94,72 +130,172 @@ const uint8_t encrypted[] = {
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0xcd, 0xa0, 0x7b, 0xf2, 0x64, 0x89, 0x31, 0x0b, 0xcd, 0x23, 0xb5, 0x28, 0xce, 0xab, 0x3c, 0x31
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};
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const uint8_t message1[] = {
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0x75, 0x0c, 0x40, 0x47, 0xf5, 0x47, 0xe8, 0xe4, 0x14, 0x11, 0x85, 0x65, 0x23, 0x29, 0x8a, 0xc9,
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0xba, 0xe2, 0x45, 0xef, 0xaf, 0x13, 0x97, 0xfb, 0xe5, 0x6f, 0x9d, 0xd5,
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};
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const uint8_t seed1[] = {
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0xac, 0x47, 0x28, 0xa8, 0x42, 0x8c, 0x1e, 0x52, 0x24, 0x71, 0xa8, 0xdf, 0x73, 0x5a, 0x8e, 0x92,
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0x92, 0xaf, 0x0d, 0x55, 0xbc, 0xb7, 0x3a, 0x12, 0xac, 0x32, 0xc2, 0x64, 0xf3, 0x88, 0x1c, 0x7c,
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0x8a, 0x71, 0x0f, 0x70, 0xfe, 0xb1, 0x04, 0x85, 0xc8, 0x37, 0x0f, 0x78, 0x1f, 0xff, 0xd0, 0x21,
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0x81, 0x6f, 0x05, 0x87, 0x39, 0x76, 0x6d, 0xa0, 0xa9, 0xc9, 0xdb, 0x0e, 0xae, 0x7e, 0x9a, 0x25,
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0xb6, 0xc4, 0x33, 0x18, 0xd0, 0xca, 0xac, 0x23, 0x65, 0x22, 0xca, 0x31, 0x0f, 0x17, 0xfc, 0x52,
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0xad, 0x42, 0x29, 0xc8, 0x3a, 0x24, 0xe9, 0xe5, 0x45, 0xeb, 0x35, 0xe9, 0x82, 0x6d, 0x55, 0x9f,
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0x57
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};
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const uint8_t message2[] = {
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0xd9, 0x4a, 0xe0, 0x83, 0x2e, 0x64, 0x45, 0xce, 0x42, 0x33, 0x1c, 0xb0, 0x6d, 0x53, 0x1a, 0x82,
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0xb1, 0xdb, 0x4b, 0xaa, 0xd3, 0x0f, 0x74, 0x6d, 0xc9, 0x16, 0xdf, 0x24, 0xd4, 0xe3, 0xc2, 0x45,
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0x1f, 0xff, 0x59, 0xa6, 0x42, 0x3e, 0xb0, 0xe1, 0xd0, 0x2d, 0x4f, 0xe6, 0x46, 0xcf, 0x69, 0x9d,
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0xfd, 0x81, 0x8c, 0x6e, 0x97, 0xb0, 0x51
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};
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const uint8_t seed2[] = {
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0xdd, 0x2d, 0x60, 0xa5, 0xe0, 0x08, 0xeb, 0xe1, 0xd0, 0xbe, 0x6f, 0x60, 0xdb, 0xc4, 0x3f, 0x29,
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0x62, 0xef, 0x50, 0xbf, 0xde, 0x54, 0x2b, 0xbb, 0xe9, 0x8f, 0xed, 0xd1, 0xfe, 0xac, 0x05, 0x7e,
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0x77, 0x1c, 0xf1, 0x5f, 0xc6, 0x32, 0xc8, 0xdb, 0x27, 0x2e, 0x28, 0xd2, 0x9b, 0x57, 0x93, 0xea,
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0x6a, 0xb8, 0x06, 0x21, 0x8c, 0x53, 0x82, 0x39, 0xb9, 0x3a, 0x93, 0x5e, 0x65, 0xd2, 0x44, 0x16,
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0xec, 0x6c, 0x6e, 0x99, 0xae, 0x04
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};
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const uint8_t message3[] = {
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0x52, 0xe6, 0x50, 0xd9, 0x8e, 0x7f, 0x2a, 0x04, 0x8b, 0x4f, 0x86, 0x85, 0x21, 0x53, 0xb9, 0x7e,
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0x01, 0xdd, 0x31, 0x6f, 0x34, 0x6a, 0x19, 0xf6, 0x7a, 0x85
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};
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const uint8_t seed3[] = {
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0x26, 0x29, 0xa7, 0xaa, 0xc0, 0xc3, 0x90, 0x5e, 0x83, 0x1e, 0xb6, 0x02, 0x38, 0x8c, 0x54, 0x5a,
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0xf5, 0x54, 0xb9, 0x6b, 0x2a, 0xe5, 0x15, 0x32, 0xe9, 0xcc, 0xdb, 0x89, 0x72, 0xef, 0x30, 0xb6,
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0x4a, 0x2f, 0x98, 0xc6, 0x95, 0x29, 0x7a, 0x01, 0xc5, 0x81, 0x2a, 0x2c, 0x40, 0x15, 0x82, 0xf3,
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0x7b, 0x14, 0x4a, 0x3e, 0x90, 0xe5, 0x9d, 0x81, 0xb6, 0x90, 0x39, 0xc6, 0x4b, 0x84, 0x4b, 0x02,
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0x8c, 0x10, 0x5c, 0x8e, 0x68, 0x36, 0x15, 0xaf, 0xb6, 0x58, 0xb6, 0xc4, 0xd9, 0xf3, 0x82, 0x38,
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0xa7, 0x63, 0x01, 0xbb, 0x14, 0x44, 0x91, 0x13, 0xb6, 0x9d, 0xe1, 0x26, 0x04, 0x5e, 0x26, 0xf1,
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0x3e, 0xe6, 0xd7
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};
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rsa_publickey_t pub_key;
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rsa_privatekey_t priv_key;
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void load_priv_conventional(void){
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bigint_t *epriv;
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epriv = malloc(sizeof(bigint_t));
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if(!epriv){
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cli_putstr("\r\nERROR: OOM!");
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return;
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}
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epriv->length_B = (sizeof(private_exponent) + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
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epriv->wordv = malloc(epriv->length_B * sizeof(bigint_word_t));
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if(!epriv->wordv){
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cli_putstr("\r\nERROR: OOM!");
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return;
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}
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memcpy(epriv->wordv, private_exponent, sizeof(private_exponent));
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priv_key.components = malloc(sizeof(bigint_t*));
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priv_key.components[0] = epriv;
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priv_key.n = 1;
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bigint_changeendianess(epriv);
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bigint_adjust(epriv);
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}
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void load_priv_crt_mono(void){
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bigint_t **v;
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const uint8_t *bv[5] = {p,q,dp,dq,qinv};
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uint16_t sv[5] = {sizeof(p), sizeof(q), sizeof(dp), sizeof(dq), sizeof(qinv)};
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uint8_t i;
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v = malloc(5 * sizeof(bigint_t));
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if(!v){
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cli_putstr("\r\nERROR: OOM!");
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return;
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}
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priv_key.components = malloc(5*sizeof(bigint_t*));
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if(!priv_key.components){
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cli_putstr("\r\nERROR: OOM!");
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return;
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}
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priv_key.n = 5;
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for(i=0; i<5; ++i){
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v[i] = malloc(sizeof(bigint_t));
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v[i]->info = 0;
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v[i]->length_B = (sv[i] + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
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v[i]->wordv = calloc(v[i]->length_B , sizeof(bigint_word_t));
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if(!v[i]->wordv){
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cli_putstr("\r\nERROR: OOM!");
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return;
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}
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memcpy(v[i]->wordv, bv[i], sv[i]);
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bigint_changeendianess(v[i]);
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bigint_adjust(v[i]);
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priv_key.components[i] = v[i];
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}
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}
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void load_fix_rsa(void){
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bigint_t *m, *epub, *epriv;
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bigint_t *m, *epub;
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m = malloc(sizeof(bigint_t));
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epub = malloc(sizeof(bigint_t));
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epriv = malloc(sizeof(bigint_t));
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if(!m || !epub || !epriv){
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if(!m || !epub){
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cli_putstr("\r\nOOM!\r\n");
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return;
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}
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m->length_B = (sizeof(modulus) + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
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epub->length_B = (sizeof(public_exponent) + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
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epriv->length_B = (sizeof(private_exponent) + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
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m->wordv = malloc(m->length_B * sizeof(bigint_word_t));
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epub->wordv = malloc(epub->length_B * sizeof(bigint_word_t));
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epriv->wordv = malloc(epriv->length_B * sizeof(bigint_word_t));
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if(!m->wordv || !epub->wordv || !epriv->wordv){
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if(!m->wordv || !epub->wordv){
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cli_putstr("\r\nOOM!\r\n");
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return;
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}
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memcpy(m->wordv, modulus, sizeof(modulus));
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memcpy(epub->wordv, public_exponent, sizeof(public_exponent));
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memcpy(epriv->wordv, private_exponent, sizeof(private_exponent));
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pub_key.modulus = priv_key.modulus = m;
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pub_key.exponent = epub;
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priv_key.exponent = epriv;
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bigint_changeendianess(m);
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bigint_adjust(m);
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bigint_changeendianess(epub);
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bigint_adjust(epub);
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bigint_changeendianess(epriv);
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bigint_adjust(epriv);
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// load_priv_conventional();
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load_priv_crt_mono();
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}
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#define MSG message3
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#define SEED seed3
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void quick_test(void){
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uint8_t *ciphertext, *plaintext, rc;
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uint16_t clen, plen;
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ciphertext = malloc(clen = pub_key.modulus->length_B * sizeof(bigint_word_t));
|
||||
plaintext = malloc(pub_key.modulus->length_B * sizeof(bigint_word_t));
|
||||
memcpy(ciphertext, message, sizeof(message));
|
||||
cli_putstr("\r\nplaintext:\r\n");
|
||||
cli_hexdump_block(ciphertext, sizeof(message), 4, 8);
|
||||
rc = rsa_encrypt_pkcs15(ciphertext, &clen, message, sizeof(message), &pub_key, seed);
|
||||
// memcpy(ciphertext, message1, sizeof(message1));
|
||||
cli_putstr("\r\nplaintext:");
|
||||
cli_hexdump_block(MSG, sizeof(MSG), 4, 8);
|
||||
rc = rsa_encrypt_pkcs15(ciphertext, &clen, MSG, sizeof(MSG), &pub_key, SEED);
|
||||
if(rc){
|
||||
cli_putstr("\r\nERROR: rsa_encrypt_pkcs15 returned: ");
|
||||
cli_hexdump_byte(rc);
|
||||
return;
|
||||
}
|
||||
cli_putstr("\r\nciphertext:\r\n");
|
||||
cli_putstr("\r\n\r\nciphertext:");
|
||||
cli_hexdump_block(ciphertext, clen, 4, 8);
|
||||
uart_flush(0);
|
||||
rc = rsa_decrypt_pkcs15(plaintext, &plen, ciphertext, clen, &priv_key, NULL);
|
||||
if(rc){
|
||||
cli_putstr("\r\nERROR: rsa_encrypt_pkcs15 returned: ");
|
||||
cli_hexdump_byte(rc);
|
||||
return;
|
||||
}
|
||||
cli_putstr("\r\nplaintext:\r\n");
|
||||
cli_putstr("\r\n\r\nplaintext:");
|
||||
cli_hexdump_block(plaintext, plen, 4, 8);
|
||||
free(ciphertext);
|
||||
free(plaintext);
|
||||
|
|
Loading…
Reference in New Issue