diff options
| -rw-r--r-- | rsa.c | 18 | ||||
| -rw-r--r-- | tests/test-rsa.c | 46 | ||||
| -rw-r--r-- | tests/test-rsa.h | 974 | ||||
| -rw-r--r-- | tests/test-rsa.py | 29 |
4 files changed, 598 insertions, 469 deletions
@@ -175,18 +175,18 @@ static hal_error_t modexp_fp(fp_int *msg, fp_int *exp, fp_int *mod, fp_int *res) assert(msg != NULL && exp != NULL && mod != NULL && res != NULL); - uint8_t msgbuf[(fp_unsigned_bin_size(msg) + 3) & ~3]; - uint8_t expbuf[(fp_unsigned_bin_size(exp) + 3) & ~3]; - uint8_t modbuf[(fp_unsigned_bin_size(mod) + 3) & ~3]; + const size_t msg_len = fp_unsigned_bin_size(msg); + const size_t exp_len = fp_unsigned_bin_size(exp); + const size_t mod_len = fp_unsigned_bin_size(mod); - if ((err = unpack_fp(msg, msgbuf, sizeof(msgbuf))) != HAL_OK || - (err = unpack_fp(exp, expbuf, sizeof(expbuf))) != HAL_OK || - (err = unpack_fp(mod, modbuf, sizeof(modbuf))) != HAL_OK) - goto fail; + const size_t len = (MAX(MAX(msg_len, exp_len), mod_len) + 3) & ~3; - uint8_t resbuf[FP_MAX_SIZE/8]; + uint8_t msgbuf[len], expbuf[len], modbuf[len], resbuf[len]; - if ((err = hal_modexp(msgbuf, sizeof(msgbuf), + if ((err = unpack_fp(msg, msgbuf, sizeof(msgbuf))) != HAL_OK || + (err = unpack_fp(exp, expbuf, sizeof(expbuf))) != HAL_OK || + (err = unpack_fp(mod, modbuf, sizeof(modbuf))) != HAL_OK || + (err = hal_modexp(msgbuf, sizeof(msgbuf), expbuf, sizeof(expbuf), modbuf, sizeof(modbuf), resbuf, sizeof(resbuf))) != HAL_OK) diff --git a/tests/test-rsa.c b/tests/test-rsa.c index 51e1009..6925261 100644 --- a/tests/test-rsa.c +++ b/tests/test-rsa.c @@ -74,7 +74,6 @@ static int test_modexp(const char * const kind, return 0; } - printf("OK\n"); return 1; } @@ -105,29 +104,36 @@ static int test_crt(const char * const kind, const rsa_tc_t * const tc) return 0; } - printf("OK\n"); return 1; } +/* + * Time a test. + */ + +static void _time_check(const struct timeval t0, const int ok) +{ + struct timeval t; + gettimeofday(&t, NULL); + t.tv_sec -= t0.tv_sec; + t.tv_usec = t0.tv_usec; + if (t.tv_usec < 0) { + t.tv_usec += 1000000; + t.tv_sec -= 1; + } + printf("Elapsed time %lu.%06lu seconds, %s\n", + (unsigned long) t.tv_sec, + (unsigned long) t.tv_usec, + ok ? "OK" : "FAILED"); +} #define time_check(_expr_) \ do { \ - struct timeval _t1, _t2, _td; \ - gettimeofday(&_t1, NULL); \ + struct timeval _t; \ + gettimeofday(&_t, NULL); \ int _ok = (_expr_); \ - gettimeofday(&_t2, NULL); \ - _td.tv_sec = _t2.tv_sec - _t1.tv_sec; \ - _td.tv_usec = _t2.tv_usec - _t1.tv_usec; \ - if (_td.tv_usec < 0) { \ - _td.tv_usec += 1000000; \ - _td.tv_sec -= 1; \ - } \ - printf("%lu.%06lu %s\n", \ - (unsigned long) _td.tv_sec, \ - (unsigned long) _td.tv_usec, \ - _ok ? "OK" : "FAILED"); \ - if (!_ok) \ - return 0; \ + _time_check(_t, _ok); \ + ok &= _ok; \ } while (0) /* @@ -136,6 +142,8 @@ static int test_crt(const char * const kind, const rsa_tc_t * const tc) static int test_rsa(const rsa_tc_t * const tc) { + int ok = 1; + /* RSA encryption */ time_check(test_modexp("Verification", tc, &tc->s, &tc->e, &tc->m)); @@ -145,7 +153,7 @@ static int test_rsa(const rsa_tc_t * const tc) /* RSA decyrption using CRT */ time_check(test_crt("Signature (CRT)", tc)); - return 1; + return ok; } int main(int argc, char *argv[]) @@ -172,6 +180,8 @@ int main(int argc, char *argv[]) hal_modexp_set_debug(1); + /* Normal test */ + for (i = 0; i < (sizeof(rsa_tc)/sizeof(*rsa_tc)); i++) if (!test_rsa(&rsa_tc[i])) return 1; diff --git a/tests/test-rsa.h b/tests/test-rsa.h index 393d01e..400ffd0 100644 --- a/tests/test-rsa.h +++ b/tests/test-rsa.h @@ -8,35 +8,35 @@ /* 1024-bit RSA private key (PKCS #8) -----BEGIN PRIVATE KEY----- -MIICdwIBADANBgkqhkiG9w0BAQEFAASCAmEwggJdAgEAAoGBAM9bbEIr5Siz6UEE -H84ukARYDIcssB4nxuiKQ8vbfb8Ikt1o5MWQ3mZ7EgPg6KaUnq5n5hx8QtPHuAOi -HdC+YbXqr1ei61jkCUNmv9sTG61pMXnVGSm2IbOo6qLPNV/wB9jYycDMCodTBlMb -1sUvHr+60zikQygBqP7l66KSOAjFAgMBAAECgYBTemrK+QD4sfVlx1NGnlg8Z3Yj -tUnx2fGqDH/ewi6NidYWbPQs1XWzrDhEd3cyGQMJE6sALMZ6nBzo2YtHTl3nNOfU -UggVUfrXoDLaD9B2gQSWsdASo9INdeWhMvuvqpstdzUoOLCuwQw1+vNqEtYts56n -GsoygdPp+JQSb/howQJBANaCMc2e3sDvg9Vrx4CbYwKzpkeHXGaprjVEYPRo5ElE -NoJkpOSuBPBcDFN7MlZqeRe6yoADnjnD447Wld/1xMsCQQD3dxxEfU7hldoB72C0 -FloQ1/MBeOtj6mzEqFyg7CCdz1q/AUqnUFPzP2Y6X0Ax981zUK4qmcMa45hYzxUK -VUavAkEAhqiChTcnVOzG0NJxEf35wLdwOdTyn4wDTXMYfjXeoVPN+Dsf/GJ1vUG7 -hyh+aBs82zWqa4RZ7p9XGdMBkO9i0wJAPgr35FgCYd5/JQMOHLiJ5jUuMM1PPuK0 -WG3Zo2LwHoCxQLgjLmWeVpsrlzDwWFbHhMTSlc2tM92iAYoRvWB58wJBAMoMTfsE -byoZgUGzccsq1qeNm0qMPfozT79WeCQBAn6Cd8SQ/jJlxBxm9Tf8qZ4ZQ0LteghV -SEDvFWBAZretHN0= +MIICdQIBADANBgkqhkiG9w0BAQEFAASCAl8wggJbAgEAAoGBAIwSaEpCTVJvbd4Z +B1P8H9EgFlZqats7PeBIOlC2Q1zla7wBmNJkX5Jkez8tF3l22Sn99c6c6PuhyhzB +dZtifQbZniKCJEzyby5MXZeSr20rPdrqiB9FX13mmtLN7ii4nLyAYFAQ4R8ZvdH2 +dRIWtxwhS7d4AyrWYhJkemIvSApfAgMBAAECgYAmL1Zy+AQwNuRSqawPvynFTuQI +Bta+kTXbEJWlLyrKBlkKVb0djfNn6zCWFmrR2A53nh4Gh0wUXRTGJg8znvPKJPcp +45znc7aGQFmDivvl5m/UkbqET6SB6JyCOCKzYa1Rtn3YFMkf/3MgzrWIhFv+UNH/ +I5lSjzJcCrN4mgI+AQJBALcTNa0mOWRXX+6jssbf65Cx6wmHsrrptXiP9gKfwdkx +697EzyvPDL8xwL20O+xBFehj866O/f8nOPP47imOPoECQQDD3gU8wD8MeWLqYcXI +AdERIuuk1VnL36QOzn9NoPF01DLJcrcbN24i5/9tcza3Kdec8fexJTh/PMBvR8Zr +w5jfAkAnFgrXtNl7+suYf4qjuxroAZRUrIwUK+F6pAG5/bG9VVMudIZmrAXkrBKi +beB9SEgNHYnhMtY3q4AVVohChwQBAkAR1I5Jf3691fcJOylUEcZEdxdYhAuOoac/ +qdCw8mvIpOCSshy1H5CpINGB1zEt72MvaF+SAr9n5dHmz3Pir4WlAkB/ZccJ5QBH +uBP0/flXdmhG5lC3MTMiiE7Rls/3L2t6S4xVDnQ81RYf7Car53WN7qSVSZnhDGsn +BJpghq2nYUH1 -----END PRIVATE KEY----- */ static const uint8_t n_1024[] = { /* key component n, 128 bytes */ - 0xcf, 0x5b, 0x6c, 0x42, 0x2b, 0xe5, 0x28, 0xb3, 0xe9, 0x41, 0x04, 0x1f, - 0xce, 0x2e, 0x90, 0x04, 0x58, 0x0c, 0x87, 0x2c, 0xb0, 0x1e, 0x27, 0xc6, - 0xe8, 0x8a, 0x43, 0xcb, 0xdb, 0x7d, 0xbf, 0x08, 0x92, 0xdd, 0x68, 0xe4, - 0xc5, 0x90, 0xde, 0x66, 0x7b, 0x12, 0x03, 0xe0, 0xe8, 0xa6, 0x94, 0x9e, - 0xae, 0x67, 0xe6, 0x1c, 0x7c, 0x42, 0xd3, 0xc7, 0xb8, 0x03, 0xa2, 0x1d, - 0xd0, 0xbe, 0x61, 0xb5, 0xea, 0xaf, 0x57, 0xa2, 0xeb, 0x58, 0xe4, 0x09, - 0x43, 0x66, 0xbf, 0xdb, 0x13, 0x1b, 0xad, 0x69, 0x31, 0x79, 0xd5, 0x19, - 0x29, 0xb6, 0x21, 0xb3, 0xa8, 0xea, 0xa2, 0xcf, 0x35, 0x5f, 0xf0, 0x07, - 0xd8, 0xd8, 0xc9, 0xc0, 0xcc, 0x0a, 0x87, 0x53, 0x06, 0x53, 0x1b, 0xd6, - 0xc5, 0x2f, 0x1e, 0xbf, 0xba, 0xd3, 0x38, 0xa4, 0x43, 0x28, 0x01, 0xa8, - 0xfe, 0xe5, 0xeb, 0xa2, 0x92, 0x38, 0x08, 0xc5 + 0x8c, 0x12, 0x68, 0x4a, 0x42, 0x4d, 0x52, 0x6f, 0x6d, 0xde, 0x19, 0x07, + 0x53, 0xfc, 0x1f, 0xd1, 0x20, 0x16, 0x56, 0x6a, 0x6a, 0xdb, 0x3b, 0x3d, + 0xe0, 0x48, 0x3a, 0x50, 0xb6, 0x43, 0x5c, 0xe5, 0x6b, 0xbc, 0x01, 0x98, + 0xd2, 0x64, 0x5f, 0x92, 0x64, 0x7b, 0x3f, 0x2d, 0x17, 0x79, 0x76, 0xd9, + 0x29, 0xfd, 0xf5, 0xce, 0x9c, 0xe8, 0xfb, 0xa1, 0xca, 0x1c, 0xc1, 0x75, + 0x9b, 0x62, 0x7d, 0x06, 0xd9, 0x9e, 0x22, 0x82, 0x24, 0x4c, 0xf2, 0x6f, + 0x2e, 0x4c, 0x5d, 0x97, 0x92, 0xaf, 0x6d, 0x2b, 0x3d, 0xda, 0xea, 0x88, + 0x1f, 0x45, 0x5f, 0x5d, 0xe6, 0x9a, 0xd2, 0xcd, 0xee, 0x28, 0xb8, 0x9c, + 0xbc, 0x80, 0x60, 0x50, 0x10, 0xe1, 0x1f, 0x19, 0xbd, 0xd1, 0xf6, 0x75, + 0x12, 0x16, 0xb7, 0x1c, 0x21, 0x4b, 0xb7, 0x78, 0x03, 0x2a, 0xd6, 0x62, + 0x12, 0x64, 0x7a, 0x62, 0x2f, 0x48, 0x0a, 0x5f }; static const uint8_t e_1024[] = { /* key component e, 4 bytes */ @@ -44,44 +44,62 @@ static const uint8_t e_1024[] = { /* key component e, 4 bytes */ }; static const uint8_t d_1024[] = { /* key component d, 128 bytes */ - 0x53, 0x7a, 0x6a, 0xca, 0xf9, 0x00, 0xf8, 0xb1, 0xf5, 0x65, 0xc7, 0x53, - 0x46, 0x9e, 0x58, 0x3c, 0x67, 0x76, 0x23, 0xb5, 0x49, 0xf1, 0xd9, 0xf1, - 0xaa, 0x0c, 0x7f, 0xde, 0xc2, 0x2e, 0x8d, 0x89, 0xd6, 0x16, 0x6c, 0xf4, - 0x2c, 0xd5, 0x75, 0xb3, 0xac, 0x38, 0x44, 0x77, 0x77, 0x32, 0x19, 0x03, - 0x09, 0x13, 0xab, 0x00, 0x2c, 0xc6, 0x7a, 0x9c, 0x1c, 0xe8, 0xd9, 0x8b, - 0x47, 0x4e, 0x5d, 0xe7, 0x34, 0xe7, 0xd4, 0x52, 0x08, 0x15, 0x51, 0xfa, - 0xd7, 0xa0, 0x32, 0xda, 0x0f, 0xd0, 0x76, 0x81, 0x04, 0x96, 0xb1, 0xd0, - 0x12, 0xa3, 0xd2, 0x0d, 0x75, 0xe5, 0xa1, 0x32, 0xfb, 0xaf, 0xaa, 0x9b, - 0x2d, 0x77, 0x35, 0x28, 0x38, 0xb0, 0xae, 0xc1, 0x0c, 0x35, 0xfa, 0xf3, - 0x6a, 0x12, 0xd6, 0x2d, 0xb3, 0x9e, 0xa7, 0x1a, 0xca, 0x32, 0x81, 0xd3, - 0xe9, 0xf8, 0x94, 0x12, 0x6f, 0xf8, 0x68, 0xc1 + 0x26, 0x2f, 0x56, 0x72, 0xf8, 0x04, 0x30, 0x36, 0xe4, 0x52, 0xa9, 0xac, + 0x0f, 0xbf, 0x29, 0xc5, 0x4e, 0xe4, 0x08, 0x06, 0xd6, 0xbe, 0x91, 0x35, + 0xdb, 0x10, 0x95, 0xa5, 0x2f, 0x2a, 0xca, 0x06, 0x59, 0x0a, 0x55, 0xbd, + 0x1d, 0x8d, 0xf3, 0x67, 0xeb, 0x30, 0x96, 0x16, 0x6a, 0xd1, 0xd8, 0x0e, + 0x77, 0x9e, 0x1e, 0x06, 0x87, 0x4c, 0x14, 0x5d, 0x14, 0xc6, 0x26, 0x0f, + 0x33, 0x9e, 0xf3, 0xca, 0x24, 0xf7, 0x29, 0xe3, 0x9c, 0xe7, 0x73, 0xb6, + 0x86, 0x40, 0x59, 0x83, 0x8a, 0xfb, 0xe5, 0xe6, 0x6f, 0xd4, 0x91, 0xba, + 0x84, 0x4f, 0xa4, 0x81, 0xe8, 0x9c, 0x82, 0x38, 0x22, 0xb3, 0x61, 0xad, + 0x51, 0xb6, 0x7d, 0xd8, 0x14, 0xc9, 0x1f, 0xff, 0x73, 0x20, 0xce, 0xb5, + 0x88, 0x84, 0x5b, 0xfe, 0x50, 0xd1, 0xff, 0x23, 0x99, 0x52, 0x8f, 0x32, + 0x5c, 0x0a, 0xb3, 0x78, 0x9a, 0x02, 0x3e, 0x01 }; static const uint8_t p_1024[] = { /* key component p, 64 bytes */ - 0xd6, 0x82, 0x31, 0xcd, 0x9e, 0xde, 0xc0, 0xef, 0x83, 0xd5, 0x6b, 0xc7, - 0x80, 0x9b, 0x63, 0x02, 0xb3, 0xa6, 0x47, 0x87, 0x5c, 0x66, 0xa9, 0xae, - 0x35, 0x44, 0x60, 0xf4, 0x68, 0xe4, 0x49, 0x44, 0x36, 0x82, 0x64, 0xa4, - 0xe4, 0xae, 0x04, 0xf0, 0x5c, 0x0c, 0x53, 0x7b, 0x32, 0x56, 0x6a, 0x79, - 0x17, 0xba, 0xca, 0x80, 0x03, 0x9e, 0x39, 0xc3, 0xe3, 0x8e, 0xd6, 0x95, - 0xdf, 0xf5, 0xc4, 0xcb + 0xb7, 0x13, 0x35, 0xad, 0x26, 0x39, 0x64, 0x57, 0x5f, 0xee, 0xa3, 0xb2, + 0xc6, 0xdf, 0xeb, 0x90, 0xb1, 0xeb, 0x09, 0x87, 0xb2, 0xba, 0xe9, 0xb5, + 0x78, 0x8f, 0xf6, 0x02, 0x9f, 0xc1, 0xd9, 0x31, 0xeb, 0xde, 0xc4, 0xcf, + 0x2b, 0xcf, 0x0c, 0xbf, 0x31, 0xc0, 0xbd, 0xb4, 0x3b, 0xec, 0x41, 0x15, + 0xe8, 0x63, 0xf3, 0xae, 0x8e, 0xfd, 0xff, 0x27, 0x38, 0xf3, 0xf8, 0xee, + 0x29, 0x8e, 0x3e, 0x81 }; static const uint8_t q_1024[] = { /* key component q, 64 bytes */ - 0xf7, 0x77, 0x1c, 0x44, 0x7d, 0x4e, 0xe1, 0x95, 0xda, 0x01, 0xef, 0x60, - 0xb4, 0x16, 0x5a, 0x10, 0xd7, 0xf3, 0x01, 0x78, 0xeb, 0x63, 0xea, 0x6c, - 0xc4, 0xa8, 0x5c, 0xa0, 0xec, 0x20, 0x9d, 0xcf, 0x5a, 0xbf, 0x01, 0x4a, - 0xa7, 0x50, 0x53, 0xf3, 0x3f, 0x66, 0x3a, 0x5f, 0x40, 0x31, 0xf7, 0xcd, - 0x73, 0x50, 0xae, 0x2a, 0x99, 0xc3, 0x1a, 0xe3, 0x98, 0x58, 0xcf, 0x15, - 0x0a, 0x55, 0x46, 0xaf + 0xc3, 0xde, 0x05, 0x3c, 0xc0, 0x3f, 0x0c, 0x79, 0x62, 0xea, 0x61, 0xc5, + 0xc8, 0x01, 0xd1, 0x11, 0x22, 0xeb, 0xa4, 0xd5, 0x59, 0xcb, 0xdf, 0xa4, + 0x0e, 0xce, 0x7f, 0x4d, 0xa0, 0xf1, 0x74, 0xd4, 0x32, 0xc9, 0x72, 0xb7, + 0x1b, 0x37, 0x6e, 0x22, 0xe7, 0xff, 0x6d, 0x73, 0x36, 0xb7, 0x29, 0xd7, + 0x9c, 0xf1, 0xf7, 0xb1, 0x25, 0x38, 0x7f, 0x3c, 0xc0, 0x6f, 0x47, 0xc6, + 0x6b, 0xc3, 0x98, 0xdf +}; + +static const uint8_t dP_1024[] = { /* key component dP, 64 bytes */ + 0x27, 0x16, 0x0a, 0xd7, 0xb4, 0xd9, 0x7b, 0xfa, 0xcb, 0x98, 0x7f, 0x8a, + 0xa3, 0xbb, 0x1a, 0xe8, 0x01, 0x94, 0x54, 0xac, 0x8c, 0x14, 0x2b, 0xe1, + 0x7a, 0xa4, 0x01, 0xb9, 0xfd, 0xb1, 0xbd, 0x55, 0x53, 0x2e, 0x74, 0x86, + 0x66, 0xac, 0x05, 0xe4, 0xac, 0x12, 0xa2, 0x6d, 0xe0, 0x7d, 0x48, 0x48, + 0x0d, 0x1d, 0x89, 0xe1, 0x32, 0xd6, 0x37, 0xab, 0x80, 0x15, 0x56, 0x88, + 0x42, 0x87, 0x04, 0x01 +}; + +static const uint8_t dQ_1024[] = { /* key component dQ, 64 bytes */ + 0x11, 0xd4, 0x8e, 0x49, 0x7f, 0x7e, 0xbd, 0xd5, 0xf7, 0x09, 0x3b, 0x29, + 0x54, 0x11, 0xc6, 0x44, 0x77, 0x17, 0x58, 0x84, 0x0b, 0x8e, 0xa1, 0xa7, + 0x3f, 0xa9, 0xd0, 0xb0, 0xf2, 0x6b, 0xc8, 0xa4, 0xe0, 0x92, 0xb2, 0x1c, + 0xb5, 0x1f, 0x90, 0xa9, 0x20, 0xd1, 0x81, 0xd7, 0x31, 0x2d, 0xef, 0x63, + 0x2f, 0x68, 0x5f, 0x92, 0x02, 0xbf, 0x67, 0xe5, 0xd1, 0xe6, 0xcf, 0x73, + 0xe2, 0xaf, 0x85, 0xa5 }; static const uint8_t u_1024[] = { /* key component u, 64 bytes */ - 0x0e, 0x5f, 0xfa, 0x8f, 0xc2, 0x63, 0x09, 0xa1, 0x88, 0xd8, 0xd7, 0x75, - 0x34, 0xa9, 0x21, 0xee, 0xab, 0xd9, 0xe2, 0x59, 0x17, 0xe4, 0x47, 0xd8, - 0xa0, 0x7e, 0x71, 0x6e, 0x8a, 0x47, 0x4e, 0x49, 0xe8, 0x16, 0x3a, 0x0e, - 0xdb, 0x24, 0xbb, 0x35, 0x6a, 0x69, 0xef, 0xa2, 0x50, 0x84, 0x1e, 0x8f, - 0xbb, 0xec, 0xdb, 0xec, 0x94, 0x94, 0x58, 0xc0, 0xe4, 0x2a, 0xa8, 0x24, - 0x8b, 0x15, 0xdb, 0xb9 + 0x7f, 0x65, 0xc7, 0x09, 0xe5, 0x00, 0x47, 0xb8, 0x13, 0xf4, 0xfd, 0xf9, + 0x57, 0x76, 0x68, 0x46, 0xe6, 0x50, 0xb7, 0x31, 0x33, 0x22, 0x88, 0x4e, + 0xd1, 0x96, 0xcf, 0xf7, 0x2f, 0x6b, 0x7a, 0x4b, 0x8c, 0x55, 0x0e, 0x74, + 0x3c, 0xd5, 0x16, 0x1f, 0xec, 0x26, 0xab, 0xe7, 0x75, 0x8d, 0xee, 0xa4, + 0x95, 0x49, 0x99, 0xe1, 0x0c, 0x6b, 0x27, 0x04, 0x9a, 0x60, 0x86, 0xad, + 0xa7, 0x61, 0x41, 0xf5 }; static const uint8_t m_1024[] = { /* message to be signed, 128 bytes */ @@ -99,73 +117,73 @@ static const uint8_t m_1024[] = { /* message to be signed, 128 bytes */ }; static const uint8_t s_1024[] = { /* signed message, 128 bytes */ - 0xbf, 0x03, 0xe7, 0x1a, 0x8f, 0x16, 0xe5, 0xad, 0xe8, 0x1b, 0xcc, 0xcf, - 0x9f, 0x3a, 0x4f, 0xc6, 0xd4, 0x14, 0xca, 0xae, 0x37, 0x9b, 0xc4, 0x4b, - 0x40, 0x13, 0xbf, 0x94, 0x9a, 0xea, 0xc1, 0x6c, 0x6c, 0x1a, 0xad, 0xeb, - 0xa2, 0x8e, 0xd7, 0xd6, 0xe8, 0x19, 0xfb, 0xf5, 0xd3, 0xe4, 0xdd, 0xd0, - 0xa5, 0xd4, 0x41, 0x44, 0xb6, 0xda, 0xff, 0x9b, 0x42, 0x19, 0xf7, 0x30, - 0x0e, 0x2e, 0x0e, 0x31, 0x6a, 0xf0, 0xc2, 0xfc, 0xa0, 0x8f, 0x23, 0x17, - 0xc2, 0x69, 0xf2, 0xe7, 0x11, 0x33, 0x8f, 0x37, 0x14, 0x5f, 0xdf, 0xb0, - 0x54, 0xdc, 0x36, 0x77, 0xc3, 0xc9, 0x64, 0x2a, 0x87, 0xd0, 0xa7, 0x78, - 0xd5, 0x5b, 0xdf, 0xd2, 0x68, 0x96, 0xaa, 0xb2, 0x6b, 0xfb, 0x99, 0x20, - 0x82, 0xa6, 0xfb, 0xcd, 0x03, 0x1a, 0xf3, 0x60, 0xc1, 0x5b, 0x5e, 0x92, - 0x57, 0xc6, 0x08, 0x92, 0x74, 0x40, 0x62, 0x6c + 0x3b, 0x09, 0xcc, 0x3d, 0x2f, 0xa1, 0x68, 0x1c, 0xa9, 0x29, 0x1b, 0xb7, + 0xcf, 0xc9, 0xe7, 0xb4, 0xfd, 0x3e, 0x5a, 0x22, 0x1c, 0x29, 0xdf, 0x4a, + 0x32, 0xcf, 0xa5, 0xae, 0x30, 0xd4, 0xee, 0x8f, 0x3a, 0xc8, 0xc1, 0xee, + 0x79, 0x40, 0xb2, 0xbf, 0xc7, 0x12, 0x82, 0x73, 0x3c, 0x6b, 0x8a, 0xd1, + 0xa4, 0x4a, 0x6d, 0x60, 0x9f, 0x00, 0xb4, 0x51, 0x8b, 0x6c, 0xcd, 0xae, + 0xad, 0xf4, 0x0a, 0x48, 0xd5, 0xb9, 0x4b, 0x9e, 0xca, 0x77, 0x10, 0xc2, + 0x9b, 0x26, 0x8c, 0x65, 0x17, 0x96, 0xd0, 0xc7, 0x5e, 0x55, 0x20, 0x17, + 0x06, 0x74, 0x2d, 0x94, 0xe0, 0xfc, 0x09, 0xa2, 0xb1, 0x94, 0xe4, 0x83, + 0x0d, 0x8d, 0x9e, 0x26, 0x0a, 0x25, 0x93, 0xfb, 0xef, 0x4f, 0xb3, 0x0e, + 0x7a, 0x9b, 0x2f, 0x17, 0x94, 0xd8, 0xca, 0x64, 0x1e, 0xa6, 0x2e, 0xc9, + 0xf3, 0x54, 0x87, 0x34, 0xed, 0xf7, 0xa5, 0x00 }; /* 2048-bit RSA private key (PKCS #8) -----BEGIN PRIVATE KEY----- -MIIEvQIBADANBgkqhkiG9w0BAQEFAASCBKcwggSjAgEAAoIBAQCcvEpsSs0CKPeQ -fsLHD1D/uPkzHNKNis4K79saXJw5MTqobxWd8gwfD4DtDsDAMneuXbqdUxldo6w7 -b4FQ7BTe0Prw0KKbplArP4hxS+ncG490ftZMVooeyY1aL5pdq5BnqyJiaCCmWlXU -/swsJIhOgx2zYZszJZSMlggR6tKQunID/uwLnUBOWdJTQDFQUfMCy+u3qfCl3ate -a5ODOpqOaqPIEC3OcD1cBVteKG1H629i8PyteLaJwx7BD2XV7jpV4+qNf6ywUx/f -zTeEIwcUZg/X+iR6wLAbITGz7k7pcRx/k2yRR/9+yg3VFEGt4Tr4yGTUGSDK+ZR9 -/woz2nE7AgMBAAECggEAcuXJPQe8r8eubDuwt9Jvk3dbH3ASnfZSQ0w/91xKndaL -5KvCUg39esuXvLBi9sJIYAeP5QLlBnMUsGF2kAbw6cKTIvQfMDFEdd/WOw/meRev -GzxcBowuJpGkUKey5tX9PzICO9ePj8OLRmAe9oE1dzDBFh4Icv8qncDiW5gkEjmk -ydd8N4Sa5PymquHAR8Mzo3CA9fb2aJELOEoB9w2S2RCa37Ak7NK51Nhuh/DleQqE -j3ORoEbjzTq+GLG8eKFQkwClqQ450pt1+Har8maRDHuoF1gUq0vK+JvFsMHtxn4l -jJA/PxWj209Ym77+CzPEF4n+v70qNR03D+UN55Vv4QKBgQC3iCUx2RE2AD1ebwkz -DVRNKNeQvfIJXMPeRCwQ3N2f1sjV9x7xMxPNcx7SVuhoj4HrBzb3SwpgHbX9Qf/8 -4TqSHS8F2bTwanW42axYJ60IJBug0HfRbdcFYz2Hh4tM5KHWon9BWy+4XuWJKtBZ -9Dkorpies3c5Y7M2cWrtOtLxkQKBgQDan4H8qRplVyU9yE01BUMf87DRrsBTb78V -Zg5pYaofF4yN0u4Gk1Ea6ouvx+xWJti8oiXwoBBPNOG+dRdizgSAPVi7fikcNuqu -9xkz2FjiL3p3taU/awM+FpGLcjK/5ldkB7VWYawikMsIO2l6XF7ViubJgHpKrEnC -v2eHuiEQCwKBgDQGwhR5Zimas8rbSw5Pzv/4ffMoBT6mL1gIlz1IfwLajiApZ3oU -cp6g7bHOtR8+3yNS7j/3478PbRGX7gsvhbz5zOSprGMiqrB19CchSCmwoqxZrD2Q -F44NbdnHkLOBdGc1tUE/qi1nqUXS/zEgzDs+E0GZukhofNsIF7mcHUQhAoGBALD3 -0Ubus7k4s6KxUx4KJm3k20rAhFqF6E2wERZowkbszw+2oIqeEVcSaQRfdwW96E+5 -ibCgQNN84QdEzStjzOzpu7v5wdle8tWym6oGBN0CxcXFOgB95WAK8MHKLR59nFwS -iU1lPuuz/UWqohU0VGfTSkHuSA/OKt8EBRAvMLhFAoGAdMNlyleBbjleJ2tc3C53 -51SquntS88Y/Owfx6uuyxhXaVkE2XdCl/BemooizyF0WdVtMhff2jlVMdsAbDqOd -rVYdgfOHjEhpMa3Z1afzlAC06RLsl+gN2B76Mv/mnv0izdS4T/AcUfuUvPstyw++ -AeFZS9WhiXZXniFPQpskWic= +MIIEvgIBADANBgkqhkiG9w0BAQEFAASCBKgwggSkAgEAAoIBAQCzvgb90hKxeDJy +zeWz/F4JGZ3Acl1i3url3VPXHyoldyhuNC+8jf4iM7TGBYGLH+sYkBXWu9GD0erl +KBMJMTBO8OdXulSAJh8r1Z8qNPSVNguvNgGQlRDGc7tZJ6gWFlzM2g5flED24bN9 +6Ir9O1cZi7xMc0Nzkn9Rms5IwPW8OB4IZZlbFC6Ih9vUSp06Tm3rQ/eQJkhLFbzM +ejc9OH1LSpYtji44ohmy/jPJsmSlzwK5JSchZqbxl/msVw1t/nZS3loqKUMvzn9F +iARLiaIrUKNCmSmL8HqEt2qKt0ESHG0vX07h5W5iHIJOuKhqcX3li8nFcwsOV3AB +RsCRgeppAgMBAAECggEANEeTVQRjN4dUdRv6Me23lEIFJlKdYwKfpBhKKIoCAj+0 +XMmFEPzj7CLJ88bqNQMlqFFQaNLcT9Eg12Jelw/dkzhysYuaxGNSMbfCwc4BTd0Y +bO/yaJFS/cXvujDUrQf4GgVapOZENwrS4E5hDuLRpLaGIF5uQhFcQuoaEgM99m6H +TzOIhtu3DjdbfSsmkGVQ7xUVFcvaCrMVoq06dvUH4HpYTKeeqgcVv++XjIe83Nzv ++oN5U2oFOzrYpGGHN6jrekmmbEaxy8UHOySC6Y+UyRrPEy9q1ZgkkC9VCrM7E28/ +4PETw8MI7uNoosuFXofctKjtRvC5Sn9zW3dyv9NkAQKBgQDSkdDy4+xN2kA7gdry +4eLKUzKRNSbnoPrCu2TENUR8oTjbJ52LQEbGa9HIKaM33701hJsc34C6adJgoY9c +PoBcJgxOI7N40A/rI3c8krKS5X/ViBY3TzJsP3LaBKDdfioaTDVTjhYD6v2eu7Lt +4eIqa8sVA4PhLSVGRW53ZSYjwQKBgQDahY6cR8WgPseQJTkCbKyfKCSuz6nioZpC +stkpKhJepzE6AKZTLLWvNIPNT/khl40aby5seLNkY3Tb9cYBX2iShGv4cguPMiAl +hb7Uljz19i6YaX74gkTjsYpv44ddLSZp+/FTOl0C0I8WocQpb8B2d4BgvfxgHrHb +KCHnyihQqQKBgQC7PKPixt7hnzdMcrxhCpDiPbaSPgQZJSC1NXJ1sbPzalynKwPA +xefpGgiRBs02qsGRLBfNRcQuflhuSlqyuHTk+4Qnm0FEJSZyfLfS6dLWIjJYikjO +56I7dPPIfyMXsM75UVh9srNKypK4qciCFEBKXk1XoyeKe91QLf77NbsDQQKBgDnY +CLwNs56Lf8AEWmbt5XPr6GntxoabSH5HYXyoClzL3RgBfAWgXCeYuxrqBISD3XIV +5DAKc1IrkY94K4XJf6DpNLt7VNv+5MuJ783ORyzEkej+ZAHcWef74y1jCT386aI8 +ctEZLe3Ez1uqToa5cjTpxS3WnKvE9EeTBAabWLihAoGBAKft+PG+j+QhZeHSGxRz +mY6AQHH4z7IU94fmXiT2kTsG8/svhPNfsmVt7UCSJbCaYsrcuR2NonVV8wn/U793 +LcnLAV+WObeduMTBCasJw8IniFwFhhfkxOtmlevExE1I3ENwkRlJ7NdROky4pnd5 +LGmN2EOOlFijEGxBfw+Wb1rQ -----END PRIVATE KEY----- */ static const uint8_t n_2048[] = { /* key component n, 256 bytes */ - 0x9c, 0xbc, 0x4a, 0x6c, 0x4a, 0xcd, 0x02, 0x28, 0xf7, 0x90, 0x7e, 0xc2, - 0xc7, 0x0f, 0x50, 0xff, 0xb8, 0xf9, 0x33, 0x1c, 0xd2, 0x8d, 0x8a, 0xce, - 0x0a, 0xef, 0xdb, 0x1a, 0x5c, 0x9c, 0x39, 0x31, 0x3a, 0xa8, 0x6f, 0x15, - 0x9d, 0xf2, 0x0c, 0x1f, 0x0f, 0x80, 0xed, 0x0e, 0xc0, 0xc0, 0x32, 0x77, - 0xae, 0x5d, 0xba, 0x9d, 0x53, 0x19, 0x5d, 0xa3, 0xac, 0x3b, 0x6f, 0x81, - 0x50, 0xec, 0x14, 0xde, 0xd0, 0xfa, 0xf0, 0xd0, 0xa2, 0x9b, 0xa6, 0x50, - 0x2b, 0x3f, 0x88, 0x71, 0x4b, 0xe9, 0xdc, 0x1b, 0x8f, 0x74, 0x7e, 0xd6, - 0x4c, 0x56, 0x8a, 0x1e, 0xc9, 0x8d, 0x5a, 0x2f, 0x9a, 0x5d, 0xab, 0x90, - 0x67, 0xab, 0x22, 0x62, 0x68, 0x20, 0xa6, 0x5a, 0x55, 0xd4, 0xfe, 0xcc, - 0x2c, 0x24, 0x88, 0x4e, 0x83, 0x1d, 0xb3, 0x61, 0x9b, 0x33, 0x25, 0x94, - 0x8c, 0x96, 0x08, 0x11, 0xea, 0xd2, 0x90, 0xba, 0x72, 0x03, 0xfe, 0xec, - 0x0b, 0x9d, 0x40, 0x4e, 0x59, 0xd2, 0x53, 0x40, 0x31, 0x50, 0x51, 0xf3, - 0x02, 0xcb, 0xeb, 0xb7, 0xa9, 0xf0, 0xa5, 0xdd, 0xab, 0x5e, 0x6b, 0x93, - 0x83, 0x3a, 0x9a, 0x8e, 0x6a, 0xa3, 0xc8, 0x10, 0x2d, 0xce, 0x70, 0x3d, - 0x5c, 0x05, 0x5b, 0x5e, 0x28, 0x6d, 0x47, 0xeb, 0x6f, 0x62, 0xf0, 0xfc, - 0xad, 0x78, 0xb6, 0x89, 0xc3, 0x1e, 0xc1, 0x0f, 0x65, 0xd5, 0xee, 0x3a, - 0x55, 0xe3, 0xea, 0x8d, 0x7f, 0xac, 0xb0, 0x53, 0x1f, 0xdf, 0xcd, 0x37, - 0x84, 0x23, 0x07, 0x14, 0x66, 0x0f, 0xd7, 0xfa, 0x24, 0x7a, 0xc0, 0xb0, - 0x1b, 0x21, 0x31, 0xb3, 0xee, 0x4e, 0xe9, 0x71, 0x1c, 0x7f, 0x93, 0x6c, - 0x91, 0x47, 0xff, 0x7e, 0xca, 0x0d, 0xd5, 0x14, 0x41, 0xad, 0xe1, 0x3a, - 0xf8, 0xc8, 0x64, 0xd4, 0x19, 0x20, 0xca, 0xf9, 0x94, 0x7d, 0xff, 0x0a, - 0x33, 0xda, 0x71, 0x3b + 0xb3, 0xbe, 0x06, 0xfd, 0xd2, 0x12, 0xb1, 0x78, 0x32, 0x72, 0xcd, 0xe5, + 0xb3, 0xfc, 0x5e, 0x09, 0x19, 0x9d, 0xc0, 0x72, 0x5d, 0x62, 0xde, 0xea, + 0xe5, 0xdd, 0x53, 0xd7, 0x1f, 0x2a, 0x25, 0x77, 0x28, 0x6e, 0x34, 0x2f, + 0xbc, 0x8d, 0xfe, 0x22, 0x33, 0xb4, 0xc6, 0x05, 0x81, 0x8b, 0x1f, 0xeb, + 0x18, 0x90, 0x15, 0xd6, 0xbb, 0xd1, 0x83, 0xd1, 0xea, 0xe5, 0x28, 0x13, + 0x09, 0x31, 0x30, 0x4e, 0xf0, 0xe7, 0x57, 0xba, 0x54, 0x80, 0x26, 0x1f, + 0x2b, 0xd5, 0x9f, 0x2a, 0x34, 0xf4, 0x95, 0x36, 0x0b, 0xaf, 0x36, 0x01, + 0x90, 0x95, 0x10, 0xc6, 0x73, 0xbb, 0x59, 0x27, 0xa8, 0x16, 0x16, 0x5c, + 0xcc, 0xda, 0x0e, 0x5f, 0x94, 0x40, 0xf6, 0xe1, 0xb3, 0x7d, 0xe8, 0x8a, + 0xfd, 0x3b, 0x57, 0x19, 0x8b, 0xbc, 0x4c, 0x73, 0x43, 0x73, 0x92, 0x7f, + 0x51, 0x9a, 0xce, 0x48, 0xc0, 0xf5, 0xbc, 0x38, 0x1e, 0x08, 0x65, 0x99, + 0x5b, 0x14, 0x2e, 0x88, 0x87, 0xdb, 0xd4, 0x4a, 0x9d, 0x3a, 0x4e, 0x6d, + 0xeb, 0x43, 0xf7, 0x90, 0x26, 0x48, 0x4b, 0x15, 0xbc, 0xcc, 0x7a, 0x37, + 0x3d, 0x38, 0x7d, 0x4b, 0x4a, 0x96, 0x2d, 0x8e, 0x2e, 0x38, 0xa2, 0x19, + 0xb2, 0xfe, 0x33, 0xc9, 0xb2, 0x64, 0xa5, 0xcf, 0x02, 0xb9, 0x25, 0x27, + 0x21, 0x66, 0xa6, 0xf1, 0x97, 0xf9, 0xac, 0x57, 0x0d, 0x6d, 0xfe, 0x76, + 0x52, 0xde, 0x5a, 0x2a, 0x29, 0x43, 0x2f, 0xce, 0x7f, 0x45, 0x88, 0x04, + 0x4b, 0x89, 0xa2, 0x2b, 0x50, 0xa3, 0x42, 0x99, 0x29, 0x8b, 0xf0, 0x7a, + 0x84, 0xb7, 0x6a, 0x8a, 0xb7, 0x41, 0x12, 0x1c, 0x6d, 0x2f, 0x5f, 0x4e, + 0xe1, 0xe5, 0x6e, 0x62, 0x1c, 0x82, 0x4e, 0xb8, 0xa8, 0x6a, 0x71, 0x7d, + 0xe5, 0x8b, 0xc9, 0xc5, 0x73, 0x0b, 0x0e, 0x57, 0x70, 0x01, 0x46, 0xc0, + 0x91, 0x81, 0xea, 0x69 }; static const uint8_t e_2048[] = { /* key component e, 4 bytes */ @@ -173,70 +191,98 @@ static const uint8_t e_2048[] = { /* key component e, 4 bytes */ }; static const uint8_t d_2048[] = { /* key component d, 256 bytes */ - 0x72, 0xe5, 0xc9, 0x3d, 0x07, 0xbc, 0xaf, 0xc7, 0xae, 0x6c, 0x3b, 0xb0, - 0xb7, 0xd2, 0x6f, 0x93, 0x77, 0x5b, 0x1f, 0x70, 0x12, 0x9d, 0xf6, 0x52, - 0x43, 0x4c, 0x3f, 0xf7, 0x5c, 0x4a, 0x9d, 0xd6, 0x8b, 0xe4, 0xab, 0xc2, - 0x52, 0x0d, 0xfd, 0x7a, 0xcb, 0x97, 0xbc, 0xb0, 0x62, 0xf6, 0xc2, 0x48, - 0x60, 0x07, 0x8f, 0xe5, 0x02, 0xe5, 0x06, 0x73, 0x14, 0xb0, 0x61, 0x76, - 0x90, 0x06, 0xf0, 0xe9, 0xc2, 0x93, 0x22, 0xf4, 0x1f, 0x30, 0x31, 0x44, - 0x75, 0xdf, 0xd6, 0x3b, 0x0f, 0xe6, 0x79, 0x17, 0xaf, 0x1b, 0x3c, 0x5c, - 0x06, 0x8c, 0x2e, 0x26, 0x91, 0xa4, 0x50, 0xa7, 0xb2, 0xe6, 0xd5, 0xfd, - 0x3f, 0x32, 0x02, 0x3b, 0xd7, 0x8f, 0x8f, 0xc3, 0x8b, 0x46, 0x60, 0x1e, - 0xf6, 0x81, 0x35, 0x77, 0x30, 0xc1, 0x16, 0x1e, 0x08, 0x72, 0xff, 0x2a, - 0x9d, 0xc0, 0xe2, 0x5b, 0x98, 0x24, 0x12, 0x39, 0xa4, 0xc9, 0xd7, 0x7c, - 0x37, 0x84, 0x9a, 0xe4, 0xfc, 0xa6, 0xaa, 0xe1, 0xc0, 0x47, 0xc3, 0x33, - 0xa3, 0x70, 0x80, 0xf5, 0xf6, 0xf6, 0x68, 0x91, 0x0b, 0x38, 0x4a, 0x01, - 0xf7, 0x0d, 0x92, 0xd9, 0x10, 0x9a, 0xdf, 0xb0, 0x24, 0xec, 0xd2, 0xb9, - 0xd4, 0xd8, 0x6e, 0x87, 0xf0, 0xe5, 0x79, 0x0a, 0x84, 0x8f, 0x73, 0x91, - 0xa0, 0x46, 0xe3, 0xcd, 0x3a, 0xbe, 0x18, 0xb1, 0xbc, 0x78, 0xa1, 0x50, - 0x93, 0x00, 0xa5, 0xa9, 0x0e, 0x39, 0xd2, 0x9b, 0x75, 0xf8, 0x76, 0xab, - 0xf2, 0x66, 0x91, 0x0c, 0x7b, 0xa8, 0x17, 0x58, 0x14, 0xab, 0x4b, 0xca, - 0xf8, 0x9b, 0xc5, 0xb0, 0xc1, 0xed, 0xc6, 0x7e, 0x25, 0x8c, 0x90, 0x3f, - 0x3f, 0x15, 0xa3, 0xdb, 0x4f, 0x58, 0x9b, 0xbe, 0xfe, 0x0b, 0x33, 0xc4, - 0x17, 0x89, 0xfe, 0xbf, 0xbd, 0x2a, 0x35, 0x1d, 0x37, 0x0f, 0xe5, 0x0d, - 0xe7, 0x95, 0x6f, 0xe1 + 0x34, 0x47, 0x93, 0x55, 0x04, 0x63, 0x37, 0x87, 0x54, 0x75, 0x1b, 0xfa, + 0x31, 0xed, 0xb7, 0x94, 0x42, 0x05, 0x26, 0x52, 0x9d, 0x63, 0x02, 0x9f, + 0xa4, 0x18, 0x4a, 0x28, 0x8a, 0x02, 0x02, 0x3f, 0xb4, 0x5c, 0xc9, 0x85, + 0x10, 0xfc, 0xe3, 0xec, 0x22, 0xc9, 0xf3, 0xc6, 0xea, 0x35, 0x03, 0x25, + 0xa8, 0x51, 0x50, 0x68, 0xd2, 0xdc, 0x4f, 0xd1, 0x20, 0xd7, 0x62, 0x5e, + 0x97, 0x0f, 0xdd, 0x93, 0x38, 0x72, 0xb1, 0x8b, 0x9a, 0xc4, 0x63, 0x52, + 0x31, 0xb7, 0xc2, 0xc1, 0xce, 0x01, 0x4d, 0xdd, 0x18, 0x6c, 0xef, 0xf2, + 0x68, 0x91, 0x52, 0xfd, 0xc5, 0xef, 0xba, 0x30, 0xd4, 0xad, 0x07, 0xf8, + 0x1a, 0x05, 0x5a, 0xa4, 0xe6, 0x44, 0x37, 0x0a, 0xd2, 0xe0, 0x4e, 0x61, + 0x0e, 0xe2, 0xd1, 0xa4, 0xb6, 0x86, 0x20, 0x5e, 0x6e, 0x42, 0x11, 0x5c, + 0x42, 0xea, 0x1a, 0x12, 0x03, 0x3d, 0xf6, 0x6e, 0x87, 0x4f, 0x33, 0x88, + 0x86, 0xdb, 0xb7, 0x0e, 0x37, 0x5b, 0x7d, 0x2b, 0x26, 0x90, 0x65, 0x50, + 0xef, 0x15, 0x15, 0x15, 0xcb, 0xda, 0x0a, 0xb3, 0x15, 0xa2, 0xad, 0x3a, + 0x76, 0xf5, 0x07, 0xe0, 0x7a, 0x58, 0x4c, 0xa7, 0x9e, 0xaa, 0x07, 0x15, + 0xbf, 0xef, 0x97, 0x8c, 0x87, 0xbc, 0xdc, 0xdc, 0xef, 0xfa, 0x83, 0x79, + 0x53, 0x6a, 0x05, 0x3b, 0x3a, 0xd8, 0xa4, 0x61, 0x87, 0x37, 0xa8, 0xeb, + 0x7a, 0x49, 0xa6, 0x6c, 0x46, 0xb1, 0xcb, 0xc5, 0x07, 0x3b, 0x24, 0x82, + 0xe9, 0x8f, 0x94, 0xc9, 0x1a, 0xcf, 0x13, 0x2f, 0x6a, 0xd5, 0x98, 0x24, + 0x90, 0x2f, 0x55, 0x0a, 0xb3, 0x3b, 0x13, 0x6f, 0x3f, 0xe0, 0xf1, 0x13, + 0xc3, 0xc3, 0x08, 0xee, 0xe3, 0x68, 0xa2, 0xcb, 0x85, 0x5e, 0x87, 0xdc, + 0xb4, 0xa8, 0xed, 0x46, 0xf0, 0xb9, 0x4a, 0x7f, 0x73, 0x5b, 0x77, 0x72, + 0xbf, 0xd3, 0x64, 0x01 }; static const uint8_t p_2048[] = { /* key component p, 128 bytes */ - 0xb7, 0x88, 0x25, 0x31, 0xd9, 0x11, 0x36, 0x00, 0x3d, 0x5e, 0x6f, 0x09, - 0x33, 0x0d, 0x54, 0x4d, 0x28, 0xd7, 0x90, 0xbd, 0xf2, 0x09, 0x5c, 0xc3, - 0xde, 0x44, 0x2c, 0x10, 0xdc, 0xdd, 0x9f, 0xd6, 0xc8, 0xd5, 0xf7, 0x1e, - 0xf1, 0x33, 0x13, 0xcd, 0x73, 0x1e, 0xd2, 0x56, 0xe8, 0x68, 0x8f, 0x81, - 0xeb, 0x07, 0x36, 0xf7, 0x4b, 0x0a, 0x60, 0x1d, 0xb5, 0xfd, 0x41, 0xff, - 0xfc, 0xe1, 0x3a, 0x92, 0x1d, 0x2f, 0x05, 0xd9, 0xb4, 0xf0, 0x6a, 0x75, - 0xb8, 0xd9, 0xac, 0x58, 0x27, 0xad, 0x08, 0x24, 0x1b, 0xa0, 0xd0, 0x77, - 0xd1, 0x6d, 0xd7, 0x05, 0x63, 0x3d, 0x87, 0x87, 0x8b, 0x4c, 0xe4, 0xa1, - 0xd6, 0xa2, 0x7f, 0x41, 0x5b, 0x2f, 0xb8, 0x5e, 0xe5, 0x89, 0x2a, 0xd0, - 0x59, 0xf4, 0x39, 0x28, 0xae, 0x98, 0x9e, 0xb3, 0x77, 0x39, 0x63, 0xb3, - 0x36, 0x71, 0x6a, 0xed, 0x3a, 0xd2, 0xf1, 0x91 + 0xd2, 0x91, 0xd0, 0xf2, 0xe3, 0xec, 0x4d, 0xda, 0x40, 0x3b, 0x81, 0xda, + 0xf2, 0xe1, 0xe2, 0xca, 0x53, 0x32, 0x91, 0x35, 0x26, 0xe7, 0xa0, 0xfa, + 0xc2, 0xbb, 0x64, 0xc4, 0x35, 0x44, 0x7c, 0xa1, 0x38, 0xdb, 0x27, 0x9d, + 0x8b, 0x40, 0x46, 0xc6, 0x6b, 0xd1, 0xc8, 0x29, 0xa3, 0x37, 0xdf, 0xbd, + 0x35, 0x84, 0x9b, 0x1c, 0xdf, 0x80, 0xba, 0x69, 0xd2, 0x60, 0xa1, 0x8f, + 0x5c, 0x3e, 0x80, 0x5c, 0x26, 0x0c, 0x4e, 0x23, 0xb3, 0x78, 0xd0, 0x0f, + 0xeb, 0x23, 0x77, 0x3c, 0x92, 0xb2, 0x92, 0xe5, 0x7f, 0xd5, 0x88, 0x16, + 0x37, 0x4f, 0x32, 0x6c, 0x3f, 0x72, 0xda, 0x04, 0xa0, 0xdd, 0x7e, 0x2a, + 0x1a, 0x4c, 0x35, 0x53, 0x8e, 0x16, 0x03, 0xea, 0xfd, 0x9e, 0xbb, 0xb2, + 0xed, 0xe1, 0xe2, 0x2a, 0x6b, 0xcb, 0x15, 0x03, 0x83, 0xe1, 0x2d, 0x25, + 0x46, 0x45, 0x6e, 0x77, 0x65, 0x26, 0x23, 0xc1 }; static const uint8_t q_2048[] = { /* key component q, 128 bytes */ - 0xda, 0x9f, 0x81, 0xfc, 0xa9, 0x1a, 0x65, 0x57, 0x25, 0x3d, 0xc8, 0x4d, - 0x35, 0x05, 0x43, 0x1f, 0xf3, 0xb0, 0xd1, 0xae, 0xc0, 0x53, 0x6f, 0xbf, - 0x15, 0x66, 0x0e, 0x69, 0x61, 0xaa, 0x1f, 0x17, 0x8c, 0x8d, 0xd2, 0xee, - 0x06, 0x93, 0x51, 0x1a, 0xea, 0x8b, 0xaf, 0xc7, 0xec, 0x56, 0x26, 0xd8, - 0xbc, 0xa2, 0x25, 0xf0, 0xa0, 0x10, 0x4f, 0x34, 0xe1, 0xbe, 0x75, 0x17, - 0x62, 0xce, 0x04, 0x80, 0x3d, 0x58, 0xbb, 0x7e, 0x29, 0x1c, 0x36, 0xea, - 0xae, 0xf7, 0x19, 0x33, 0xd8, 0x58, 0xe2, 0x2f, 0x7a, 0x77, 0xb5, 0xa5, - 0x3f, 0x6b, 0x03, 0x3e, 0x16, 0x91, 0x8b, 0x72, 0x32, 0xbf, 0xe6, 0x57, - 0x64, 0x07, 0xb5, 0x56, 0x61, 0xac, 0x22, 0x90, 0xcb, 0x08, 0x3b, 0x69, - 0x7a, 0x5c, 0x5e, 0xd5, 0x8a, 0xe6, 0xc9, 0x80, 0x7a, 0x4a, 0xac, 0x49, - 0xc2, 0xbf, 0x67, 0x87, 0xba, 0x21, 0x10, 0x0b + 0xda, 0x85, 0x8e, 0x9c, 0x47, 0xc5, 0xa0, 0x3e, 0xc7, 0x90, 0x25, 0x39, + 0x02, 0x6c, 0xac, 0x9f, 0x28, 0x24, 0xae, 0xcf, 0xa9, 0xe2, 0xa1, 0x9a, + 0x42, 0xb2, 0xd9, 0x29, 0x2a, 0x12, 0x5e, 0xa7, 0x31, 0x3a, 0x00, 0xa6, + 0x53, 0x2c, 0xb5, 0xaf, 0x34, 0x83, 0xcd, 0x4f, 0xf9, 0x21, 0x97, 0x8d, + 0x1a, 0x6f, 0x2e, 0x6c, 0x78, 0xb3, 0x64, 0x63, 0x74, 0xdb, 0xf5, 0xc6, + 0x01, 0x5f, 0x68, 0x92, 0x84, 0x6b, 0xf8, 0x72, 0x0b, 0x8f, 0x32, 0x20, + 0x25, 0x85, 0xbe, 0xd4, 0x96, 0x3c, 0xf5, 0xf6, 0x2e, 0x98, 0x69, 0x7e, + 0xf8, 0x82, 0x44, 0xe3, 0xb1, 0x8a, 0x6f, 0xe3, 0x87, 0x5d, 0x2d, 0x26, + 0x69, 0xfb, 0xf1, 0x53, 0x3a, 0x5d, 0x02, 0xd0, 0x8f, 0x16, 0xa1, 0xc4, + 0x29, 0x6f, 0xc0, 0x76, 0x77, 0x80, 0x60, 0xbd, 0xfc, 0x60, 0x1e, 0xb1, + 0xdb, 0x28, 0x21, 0xe7, 0xca, 0x28, 0x50, 0xa9 +}; + +static const uint8_t dP_2048[] = { /* key component dP, 128 bytes */ + 0xbb, 0x3c, 0xa3, 0xe2, 0xc6, 0xde, 0xe1, 0x9f, 0x37, 0x4c, 0x72, 0xbc, + 0x61, 0x0a, 0x90, 0xe2, 0x3d, 0xb6, 0x92, 0x3e, 0x04, 0x19, 0x25, 0x20, + 0xb5, 0x35, 0x72, 0x75, 0xb1, 0xb3, 0xf3, 0x6a, 0x5c, 0xa7, 0x2b, 0x03, + 0xc0, 0xc5, 0xe7, 0xe9, 0x1a, 0x08, 0x91, 0x06, 0xcd, 0x36, 0xaa, 0xc1, + 0x91, 0x2c, 0x17, 0xcd, 0x45, 0xc4, 0x2e, 0x7e, 0x58, 0x6e, 0x4a, 0x5a, + 0xb2, 0xb8, 0x74, 0xe4, 0xfb, 0x84, 0x27, 0x9b, 0x41, 0x44, 0x25, 0x26, + 0x72, 0x7c, 0xb7, 0xd2, 0xe9, 0xd2, 0xd6, 0x22, 0x32, 0x58, 0x8a, 0x48, + 0xce, 0xe7, 0xa2, 0x3b, 0x74, 0xf3, 0xc8, 0x7f, 0x23, 0x17, 0xb0, 0xce, + 0xf9, 0x51, 0x58, 0x7d, 0xb2, 0xb3, 0x4a, 0xca, 0x92, 0xb8, 0xa9, 0xc8, + 0x82, 0x14, 0x40, 0x4a, 0x5e, 0x4d, 0x57, 0xa3, 0x27, 0x8a, 0x7b, 0xdd, + 0x50, 0x2d, 0xfe, 0xfb, 0x35, 0xbb, 0x03, 0x41 +}; + +static const uint8_t dQ_2048[] = { /* key component dQ, 128 bytes */ + 0x39, 0xd8, 0x08, 0xbc, 0x0d, 0xb3, 0x9e, 0x8b, 0x7f, 0xc0, 0x04, 0x5a, + 0x66, 0xed, 0xe5, 0x73, 0xeb, 0xe8, 0x69, 0xed, 0xc6, 0x86, 0x9b, 0x48, + 0x7e, 0x47, 0x61, 0x7c, 0xa8, 0x0a, 0x5c, 0xcb, 0xdd, 0x18, 0x01, 0x7c, + 0x05, 0xa0, 0x5c, 0x27, 0x98, 0xbb, 0x1a, 0xea, 0x04, 0x84, 0x83, 0xdd, + 0x72, 0x15, 0xe4, 0x30, 0x0a, 0x73, 0x52, 0x2b, 0x91, 0x8f, 0x78, 0x2b, + 0x85, 0xc9, 0x7f, 0xa0, 0xe9, 0x34, 0xbb, 0x7b, 0x54, 0xdb, 0xfe, 0xe4, + 0xcb, 0x89, 0xef, 0xcd, 0xce, 0x47, 0x2c, 0xc4, 0x91, 0xe8, 0xfe, 0x64, + 0x01, 0xdc, 0x59, 0xe7, 0xfb, 0xe3, 0x2d, 0x63, 0x09, 0x3d, 0xfc, 0xe9, + 0xa2, 0x3c, 0x72, 0xd1, 0x19, 0x2d, 0xed, 0xc4, 0xcf, 0x5b, 0xaa, 0x4e, + 0x86, 0xb9, 0x72, 0x34, 0xe9, 0xc5, 0x2d, 0xd6, 0x9c, 0xab, 0xc4, 0xf4, + 0x47, 0x93, 0x04, 0x06, 0x9b, 0x58, 0xb8, 0xa1 }; static const uint8_t u_2048[] = { /* key component u, 128 bytes */ - 0x4f, 0x88, 0xe0, 0xf9, 0x63, 0x9b, 0x12, 0x96, 0xf3, 0x37, 0x79, 0xed, - 0x77, 0x1f, 0xe1, 0xcd, 0x54, 0x57, 0x20, 0xf4, 0xae, 0xc2, 0x88, 0x35, - 0x78, 0x97, 0x96, 0xb8, 0xb4, 0xb4, 0xc5, 0xb8, 0x18, 0x38, 0x65, 0x78, - 0x1e, 0x68, 0xbf, 0xce, 0xf8, 0x28, 0x61, 0x4f, 0xfe, 0x46, 0x84, 0x4e, - 0xbb, 0x8d, 0x32, 0x4e, 0x1f, 0xf8, 0x34, 0x90, 0x3d, 0x99, 0x81, 0xce, - 0x7b, 0x60, 0x83, 0x00, 0x42, 0x54, 0x89, 0x3b, 0x3c, 0x7a, 0x72, 0x69, - 0x10, 0xd2, 0xc9, 0x87, 0x28, 0xb9, 0xce, 0x2e, 0x3f, 0xd0, 0x98, 0xda, - 0x0a, 0x6b, 0xf9, 0xef, 0x66, 0xc9, 0x51, 0x46, 0x8a, 0xdc, 0xdf, 0x56, - 0x68, 0xfb, 0x39, 0x3f, 0xa5, 0x36, 0x44, 0x11, 0x57, 0x7b, 0x4e, 0xc3, - 0x3a, 0x64, 0x30, 0xb8, 0xde, 0xf5, 0x14, 0x7e, 0xab, 0xca, 0xa6, 0x27, - 0x52, 0x7f, 0x63, 0x8b, 0xa2, 0xb7, 0x51, 0x1f + 0xa7, 0xed, 0xf8, 0xf1, 0xbe, 0x8f, 0xe4, 0x21, 0x65, 0xe1, 0xd2, 0x1b, + 0x14, 0x73, 0x99, 0x8e, 0x80, 0x40, 0x71, 0xf8, 0xcf, 0xb2, 0x14, 0xf7, + 0x87, 0xe6, 0x5e, 0x24, 0xf6, 0x91, 0x3b, 0x06, 0xf3, 0xfb, 0x2f, 0x84, + 0xf3, 0x5f, 0xb2, 0x65, 0x6d, 0xed, 0x40, 0x92, 0x25, 0xb0, 0x9a, 0x62, + 0xca, 0xdc, 0xb9, 0x1d, 0x8d, 0xa2, 0x75, 0x55, 0xf3, 0x09, 0xff, 0x53, + 0xbf, 0x77, 0x2d, 0xc9, 0xcb, 0x01, 0x5f, 0x96, 0x39, 0xb7, 0x9d, 0xb8, + 0xc4, 0xc1, 0x09, 0xab, 0x09, 0xc3, 0xc2, 0x27, 0x88, 0x5c, 0x05, 0x86, + 0x17, 0xe4, 0xc4, 0xeb, 0x66, 0x95, 0xeb, 0xc4, 0xc4, 0x4d, 0x48, 0xdc, + 0x43, 0x70, 0x91, 0x19, 0x49, 0xec, 0xd7, 0x51, 0x3a, 0x4c, 0xb8, 0xa6, + 0x77, 0x79, 0x2c, 0x69, 0x8d, 0xd8, 0x43, 0x8e, 0x94, 0x58, 0xa3, 0x10, + 0x6c, 0x41, 0x7f, 0x0f, 0x96, 0x6f, 0x5a, 0xd0 }; static const uint8_t m_2048[] = { /* message to be signed, 256 bytes */ @@ -265,129 +311,129 @@ static const uint8_t m_2048[] = { /* message to be signed, 256 bytes */ }; static const uint8_t s_2048[] = { /* signed message, 256 bytes */ - 0x38, 0xcd, 0x57, 0x72, 0x74, 0x5a, 0x7c, 0xa1, 0x1b, 0x1d, 0xf6, 0xda, - 0x12, 0xbd, 0x9c, 0x9e, 0xd7, 0xfd, 0x84, 0x48, 0xfd, 0x7c, 0x6c, 0xc4, - 0xd0, 0x96, 0x97, 0x67, 0xef, 0x3a, 0xb2, 0x70, 0x03, 0x97, 0xa8, 0x6b, - 0x6e, 0x87, 0xd4, 0x85, 0x5c, 0x30, 0x0a, 0xa4, 0x48, 0x19, 0xb1, 0x5c, - 0xbd, 0xf6, 0x53, 0xaa, 0xa9, 0x2a, 0x95, 0xa9, 0xe2, 0x0d, 0x25, 0x44, - 0x16, 0x99, 0xb7, 0x9b, 0x6d, 0x14, 0x17, 0x47, 0xf7, 0xf8, 0x66, 0x4f, - 0x4f, 0xd7, 0x15, 0x89, 0xc8, 0x76, 0xb0, 0x32, 0x5d, 0x8e, 0x28, 0x3c, - 0x76, 0x1e, 0x64, 0xbb, 0x66, 0xb8, 0x0b, 0x28, 0x06, 0x83, 0xb1, 0x77, - 0xbf, 0x3d, 0x9e, 0xae, 0xdf, 0xa1, 0xc0, 0x87, 0xef, 0x7c, 0x2f, 0xae, - 0x3b, 0x14, 0x8d, 0x6d, 0xa1, 0x0b, 0x52, 0xed, 0xd2, 0x40, 0xfa, 0x8c, - 0x3b, 0x04, 0x00, 0x47, 0xdf, 0x7d, 0x74, 0xba, 0x47, 0x4b, 0x1b, 0x1d, - 0x55, 0xbd, 0x37, 0x8b, 0x05, 0x2e, 0x58, 0x21, 0x97, 0x96, 0xf3, 0xfc, - 0xf0, 0x09, 0xbb, 0xe5, 0xc8, 0x32, 0x6e, 0xdc, 0x9c, 0x3b, 0xfa, 0xdc, - 0x8e, 0x75, 0xc5, 0x19, 0xe7, 0xf8, 0x2f, 0xa6, 0x74, 0x63, 0x1e, 0xf7, - 0xe5, 0x72, 0x89, 0xe8, 0x3f, 0x3f, 0x19, 0xac, 0x64, 0xf8, 0xc6, 0xa3, - 0x91, 0xe2, 0x68, 0x44, 0xbe, 0x93, 0x65, 0xa8, 0x92, 0xcb, 0xa1, 0x01, - 0x8f, 0xad, 0xb9, 0xf8, 0xfc, 0xfd, 0x94, 0xe5, 0xa4, 0x72, 0x4c, 0x52, - 0x80, 0x5e, 0x00, 0xa0, 0x76, 0x0b, 0x6d, 0xe1, 0x58, 0xb1, 0x39, 0x53, - 0x1b, 0x1d, 0xa0, 0xe4, 0x1a, 0x15, 0x8e, 0xf8, 0x11, 0xbc, 0xaa, 0xbc, - 0xdd, 0xc7, 0xe1, 0x86, 0xf8, 0x91, 0x89, 0x58, 0x83, 0x3d, 0xba, 0x56, - 0xa3, 0x07, 0x21, 0x37, 0xf8, 0xa1, 0x1b, 0x21, 0x41, 0x70, 0x4e, 0xa5, - 0xa4, 0x52, 0x6d, 0x66 + 0x4a, 0xf7, 0x47, 0xbb, 0xf2, 0x11, 0xd4, 0x4a, 0x03, 0xe5, 0xce, 0xbb, + 0x07, 0xae, 0xc9, 0x74, 0xf9, 0xc5, 0x05, 0xa2, 0xbc, 0xe8, 0x8f, 0x38, + 0x8c, 0xde, 0x7e, 0xdf, 0x29, 0xab, 0xd6, 0x0c, 0x9a, 0x3f, 0xdf, 0x4d, + 0xd1, 0xe4, 0x19, 0x51, 0x46, 0x94, 0xb6, 0x3b, 0xc3, 0xf1, 0x45, 0xba, + 0x30, 0x34, 0x18, 0x03, 0xf6, 0x86, 0xaf, 0x45, 0xe3, 0x1d, 0x33, 0x4e, + 0x08, 0x09, 0x95, 0xf5, 0x52, 0xad, 0xbe, 0x56, 0xb9, 0xb4, 0x5a, 0xed, + 0xd5, 0xd1, 0xff, 0x52, 0x59, 0x75, 0x7b, 0x95, 0xfa, 0x8f, 0x29, 0x87, + 0x48, 0x50, 0x37, 0xf6, 0x62, 0x7d, 0x4b, 0x4c, 0xdc, 0xe4, 0xee, 0xc2, + 0xaa, 0x93, 0x2f, 0x94, 0x97, 0x8a, 0xfe, 0xa8, 0x12, 0x31, 0x09, 0x4f, + 0x8a, 0xe7, 0x49, 0x69, 0xc8, 0xa0, 0xf0, 0xb6, 0xb8, 0x64, 0x53, 0x5b, + 0xce, 0xe2, 0xc7, 0xac, 0xa1, 0x20, 0x24, 0x90, 0xd3, 0xcd, 0xee, 0x08, + 0xfb, 0xa0, 0xa0, 0xf7, 0x5f, 0xaa, 0x3b, 0x4f, 0xa2, 0x3b, 0xb6, 0xe9, + 0x20, 0x79, 0xca, 0x8f, 0xb3, 0x68, 0x07, 0x4b, 0x79, 0x42, 0x60, 0xf3, + 0x18, 0xd1, 0x6f, 0xff, 0xdd, 0xe2, 0x96, 0x44, 0xea, 0x5c, 0x36, 0x43, + 0x07, 0xdc, 0xaa, 0xae, 0xba, 0x6b, 0xe9, 0x10, 0x0e, 0xf2, 0x12, 0xf3, + 0xb4, 0x6c, 0xeb, 0x8a, 0x1e, 0xf7, 0xfd, 0x23, 0x2c, 0x56, 0x30, 0xf4, + 0x29, 0xf3, 0x75, 0x7b, 0xd8, 0xfb, 0x80, 0xb9, 0x26, 0x01, 0x69, 0xa5, + 0x92, 0x7c, 0x56, 0x56, 0x2d, 0x0d, 0x91, 0x54, 0x81, 0x76, 0x21, 0xe5, + 0x70, 0x1f, 0x1e, 0x8f, 0xc3, 0xc8, 0x9f, 0x2a, 0xa5, 0xfa, 0x96, 0xf2, + 0x62, 0x99, 0xb8, 0x6e, 0xf0, 0x5f, 0x83, 0x15, 0x8f, 0x33, 0xe4, 0xe7, + 0xaf, 0xe2, 0xac, 0x23, 0x2e, 0x38, 0x5f, 0x45, 0x41, 0x9b, 0xe9, 0xb4, + 0x79, 0xd0, 0xf8, 0xcf }; /* 4096-bit RSA private key (PKCS #8) -----BEGIN PRIVATE KEY----- -MIIJRAIBADANBgkqhkiG9w0BAQEFAASCCS4wggkqAgEAAoICAQDGGmtPXmJH+wYM -tJNMc8YbWseVhNgOu1NEfCcwwS/1e/xnoqRiPgi4EqMXExBD1z1qGmHjOnouXNdH -f70y9IIhOeLXD2pjhIFNYtL7+WreUafgAg1HE2Fz7o4NDnACx+np8GoB6edtugfq -L5/Hnruzu1ppD2k2hsbVvbVppnLGInG1kuXWKOfzN4wFY1yCJ6SLMQ7bHwcr8JRQ -awtwRIyU1InRONFOrS1wu+FQ1CItVa9qZ8YLCMMapWxefdcymtSPQudTXyVctfBP -cMXTYpD+ZW43oD/JDDofO6sQE3pJyuCSDW2ewFsEp7aZnJGQ/JNwPqWLHgh8Ohay -uPxm/8Jbj4Py6BKZf94fmAlrrJGx55tOnWL6paCDbTfBKKgKj28FCYfjRES5umd1 -RFOwGSJVzJD9Pt9Gjx8ZKA7iyR4aKdpmfFbuDdIyZ2Nun6JFnJFR2XB7k1QHOcn7 -O0XUtYjQahwaKbn89LFkaf7zH+rQ23qzyNwEya6w2LNPThRw69Urktx6d10+Dp86 -4Qtuzl6PiRgjYziPmwlXjniMlKsgLqA0lVimO3shD5ddtorkBJNzj7EngY5dLD9n -OFMdxFVOVCKAxIEuLzxo9fJOv7SQBxUlKYfXlELkV3UaStO7m6bHTbJWv+hBgzUk -wo19BuSc0MpEZQx3k973e+TPbzWskQIDAQABAoICAQCXsdNKS3Pmuom/YOcKO/0P -JUx/aeIoJbl1T7yS0NvwlqiIkzpdIDN9AIhyOt7RlBgrD1i1rymwJteSoHY4dpLO -7oyNMfi9i9GXeH0nBa6X3t814VxZeLW/GIUd6lhLSNoNkVMbdAkLNNCqux0Wtq30 -yxpIKMzgPAQ117b618I7hlScPYhRnbE/xOErnxJPeBu/milOEUxkkSyBB/cSWOtt -a/K8i017eZC6KqQ2SLqDDIHucNhtyp/b36BEGwiWb4kkyo5ogQsTGx6RNkHFxExT -AUiMv+EYCozXLdGn1cJmjzu3myC9133a6rIgnou5Ai/EW7RX+v90YObQpGZiWKZy -K0E6uKsDvxSDtiK+6voH91y7NEgxtPMbrNNh5/kJao2cPD9kpK6e565ciktLiJ2g -2XU6lqH578ZRdzedMJnSlaQZGtKVbsr0RDvaQeEeuozzc19lHKZkmUXAliOkXPWK -x4ysZMUJnHMUUAZauC6Tdz0vQBicpT9TbCzbeB8JLhOsxIagLNzN8oyu4MthmT2S -KRsPoYbZA6rkfoKgrzmGjW4U4m+inAsTUHeO7ZaDq+qaXsR5mlK08JxjtRc2Qguy -oMntsmmXlM3LsbuJYU4jUexsJjAZYqjXykPx3wO3s32eDbyKxFhNjSOCzGvP/Dvx -c9BZcmLfcAA9O+hDT/iwAQKCAQEAyWwmEbN+h2VcVai8iFf5sV9u4NFecxHY+3Cr -IaJp4R3V2gFYHVcoiADPU3yn8O0Pwm1UPKZein/KZ9xPY85NEnue0uJoberWBeIC -V/ipfJB9CgT/R/FeJJUIOicw5mu7legIZ5qritRBx2jd1pK+YxVyYvgsRDcNphmo -FpycKfdrubNXA3Xw82e/+x+iFfr5QPxY4ZT0XNoVQ7KCon8G6hR0Rl27b+VmLSlH -qjQ8AXpvzX9okrQnduaXXN9ZFzFQzgBziDM6BxaGdeCKjv4K5+GI5RhseYbYRkg4 -BCgpEocmaaf2eLZuBRoUJmMIS/Jt2C8pRYVWR2zuHDXhPflt8QKCAQEA+8gG+1Dh -il2Rs+Ctw/220TSjNeEJS/UN8GpU8GX4+Z2/7bi8L0cBBkI5bJOAsHdWU8+SQgaL -SgnbEUf6evIqyxp4fxNkrx+0IEp1t/Q1BUt7jrjG38r2yVRSj6WVzuZbUoM4ZdgS -hJxypbcLId/T64RHVE07va7ZidmlEbTLWE6n2eDCOdi3vuQ4g297E7nCkSwceE0o -g4AkqDEWTUoQf7zAgopraLbpY73fVjeiaKQvViLESQUlPr8uh0mYOl+W8iyWnr3N -o/p16GIa4u6RsOTbd+phax5YcnzZm/mbeh6Ey+ifsSl9w6PmiRLtUrKdE8ap/ABT -cHD9WsITAGgIoQKCAQBMUa4bBufqZX2W91h4UN1LV92rUal38EtG+mndVKzJn4Ro -FhpNA7lXzva/q3v2zdwqz0IbuO4ZjFIlCFUMfB634h9LyH3JKDHwCLLaol2V1SmL -olkX6VzCf7WeUzs0E54ALusAVpqo/8Psys9DflalNHsjBOXA8xs41H/cEXsaa6Vl -t45AwW+KysTzYgkISxAmj3ceAlKU3A0ymXDmITt9dkKYZuueek08z2dYFnKmHL5A -HwaAj8JkSvsPNZGMOCNl6sXb1Y0nImHQSEQ36go30j0MkTSI148bEkInURA+9PaZ -EgtRsc3+IOOBqAR8wl7ciwIYVW1bouqVxdSSpvABAoIBAQCmMndJVS5Lo1AWKG0L -PmJ63gAOBKmaVfwJgmbm+KjMPHEAfjzaCEiI1RYKsaL02RFG6XFl2+P9z1unoJea -qFfPEX4Qg8CmSIsh9YSXFMAa6qR4pUfBWbxlUR/eajLlC/GkGbIUp/gxSQP0l0rl -5VWB1SMwZnrUzqIR+HSZp3nCpMjvbQlIHeHMQ+F6ARCBCNGB+lggoO3pP6Dy1NQf -2I/jgbihcrVLvdF5YVAXHUo7QIVumixu9tKLBK+15cJyZb7BxOT3i9o+L4m9B2Uv -/sJ0vdyQ30nG55UCnZ8W8kDK73JBFyCyVO0LQxldyfyV5gkBkNWL3rs1MaBLVGgu -kH2BAoIBAQC2rlx8FX3P8pWMplesWoItdYrfLdsRILmZocSfHkRn93yU11l0m3gd -zsguPBuO+IA5nXldrQ8cRUuBG1k9YIX2MvveE8SXFpSIp6625F+6JDvvcSh1MMNa -7aqgoqWMtAr0x1hg7zlzcm+Q+vJw98v4hVESRrnbouLjuAj1cG0BhSHPxAPU5Swq -Oe7nEWJ6ZCvLmBQY4k+XGz/wf4dsyHf8p9kf8iRsmMObbA5mJFGfnHbxHj2aSWvH -coP+kcbtI398l7gbE1iYTDJcOPEI15NC52q1/VNk4UAyBvTyqwNHIy0bHgUIrdB+ -sZApBBoMaUXbbssGZtjCRlNX9IUKZYKd +MIIJQwIBADANBgkqhkiG9w0BAQEFAASCCS0wggkpAgEAAoICAQCuW+hI3vfWBlm/ +CiwGlQLLG/6WCAB5eNWfgWpjxBTKcGG+nKniAYrLtskG4fu0zJl5zf1HvGhJXW65 +6id3lcE4dCmtIDciebLexvkVcHGj+3dsh0i/RZ2hfNJQJa9BpzZ3DtsuDK4f5Tkj +1B5DScDEVfInSHDAU2rDxuDXBMnVXd08CDTLUiNU/BFQz0XEZJZ0Y4BeCmTm0cGE +V3LhahNgFh+1Lpi4cBwSt+EoFYWisPr9KXjAbHVCAYUHfvXvE1wXql0YexNTRHEf +EQG24EeEdj2XR72Ms36xrHhykIsSxuMjodsJlqG/JO/SAdeLMj4j68SD28F1fInW +2Szi1teXGDYBaMyT0Gw5kQ4TFlq8XED5hB5I8pOCtwuoQlw7vVjp1t90WL/bbA7Y +cwv9I4V3rOCkOkkCJe/mVB9Z0XmY7CnDYUXm211+oIcJyzTnk0iLV1cRiTAMEExK +S7wGJ1ZAh4CMTpk2FBx0tGb948Bny+gxjGLsYgNYUbp9GkOD8tYxo77k4Wjj7YgU +TA2A41zxA0LH/apfHRo8bSnIkLYw2NyzZ+OOGa7tW3oZ27yMlWnQGEErH6EcKNvB +2d4gUslWEjOn9XzqFnXRD2RUPfDPesMJ4Xlll2r7w4hMB9/VNkPtebE+rh5NB+cW +kvwrZWqlwXMCG/6o3a5Dden/b5387QIDAQABAoICAAlPxzv9DGdVt31IYcmIM7n9 +KL+CdeQG3AHEu5XQZvvYvJ+dZkU3p93xSRMhBnxFYPzsT1aBbWBdqQgsxSbRzJvj +OEaSrd8deLwFDFBkzOzhBSO6pdvxL9XsAJ9fI9jxwSrilDoFW1dAuqh7L5KQYcca +f/AxIjRjQBRsjp1tGApZFPObzJX/MPvc6l/ScftnE9HrbnOXQoRBN4CF2xDGxXog +NFlMv8M52YX2ZAPsAlMJ+J2ElXpRUIHR6vTXhvLZqdVpt8cS65lK0m/CTMEjgS5F +0kw9/JWDEIUUnOohZgv+qyq//h6o+MJoipZAmu5IJKFuefRAzDgmCoZ62rbSmnjU +m3N2DceHaAAw78Zf9RdT0w08fp/hXVO39HMnME5sFQGnlJsbNv74qfBIH6+8fDU7 +6rWWCq67E0gQkAnuYXczFSOPwZJn8E4Nce67UeyQq6CQEuC1XTrW34ZBUHy5pua9 +UuFymGYSNRBOUC3kurTYZmhpcAs9j8tVYSb62vNDZbvkYXRyPjpvRThpttCoa6Ds +3fiMfsN/AbpQqiSDxR2MX0okhHlrar2ucbNMJoxHf5iUo0Pj9LIRtmyIK/hh1uAI +eOks8M63wAmiuuHeDkXAMjuT3j59aS1jRSuJLZmxgnqttNbeYPqr74epMsFje7gy +0AXh5QS3BinxH7s4KONRAoIBAQDAPeQp+kSsYVR0SuiaSCn+O+9ytPUevVjt/Wcl +nx9XNTeaoj2rBwlqua50x1BPVXfOIXrQL2AV0xY+7aLmhVBQJ+FfA5hMFo0s6h+F +EeJdjBS1wd3uH40OUKbsIepnd7zxjbXgJzmChmaiVRUxwqi1mqWhMGgrvt42zwMZ +UAkXXbsyk1J3j+mlwsyLN887fHjW8tZPNr2f0uVs8ctmvSEIlDmMsaItu3DBN/Jz +6eOL6YBO1YGiinQHZk0aEbOd0uJ274wmQ24pAmrhH2btvuQ05/d+aSssJQBzoSqZ +3I81nSlZAjCigi6syj8Z9O90d2zdLQx4I6w46Rrat/Y3mWirAoIBAQDoL7Kjqv0i +Uk/VFbixpvUwf0GwlJnAuyrcpUlUqM5BBk/jbLTKPXzkTTIIzZvY32qmSNpdf/n/ +lNR7li07dJtd9RvfXDAFkf0GxwhRNOAn+KSWNqTQK7C8w2HGrdqkZRF3ZxQOWMbW +Z1ovSqcXwx3yFCSm/q6EdGSpXdiA9MmuDI5HO+U7t94VeTwg2slo8/kpLLtgF8OX +Ol65rO5lPuPRr0b2gVv8B+Lqd9wUThgQiDSPgLBGVbQ+GEERGL7JfzzxgW2YE3mL +0q0Susoi1hDVgnBw+TwzH74hyDSRVLDbMI2yIIfP77eYrygrUfF23eNGj6L+ogmD +f7+gC/oDWODHAoIBABt//waePXqnRayJFrMTRaaPrlYrWrE2BuWsjTfNhm80NqsR +MF8p14gD3dfoty1SHZxIH8huLoGQu6ru1ZHCWlXNDqlH215vD2zwZOflQgt9wWyq +ufOZYdU9ZlN7GowIjefEDNNu6QQp876fCzQeE4I/CBiB0zUGzcTrYhcZ4uMLzn6S +ooZl+Nd0gUwdBLEOwj6FaHDWdNPLGHS4Ng+RWItgoMbmljuSh7OsLCu2to1KLseY +NT4qLiTs1nS3OYmHJEw9QkAq/zQwm1du5Yt29jA3SqkzpDBhbqob0PtHmNjjjYml +DY4Br2maWOJ+rk5r0w/kpNb+y2Esv2GwVTFo6ZcCggEBAIg282ZxefAYuh0YkTIn +8NBy1+bwRwN6yrqHfW3dWqNrQJL7w1SinhKR9ziS50tkRv0m4HTaD6CRf9bBU+f9 +kOieU6vGOaYK75Z6TbbWfmr0xBocFLTL7PPQ7BvTAuJPKOAT6QBBtOUz3QTBlyWp +onfSuW3/HAM5BZUXKVz+PxOM6iuASAuw4ulWJqBfuqmH+DTfuU22o1ilNc1YVsOv +EZiCa+9SFNTXC5jimIqRBi0suyk1JjUdMpD7SbDuA3/S1b4ZYGJHipctEbxbORsW +2ulnjO+6SEb16GWJPs3EEb2Fzpsh2oty5xL8L2S6vh4uLpfGzKj2Bv7Og20xmYs9 +KSECggEBAKi6ccRd9c439uxW4+QRijrRl9nSMmHWR640EEwC6AgqaFgmQgxKf4e9 +2Hz84KVYFAipPDYAgFM6kY7j/S0rmbPrYGATyXmV+ugwfkH7ecc9BIWCjdvVWyb4 +fY6+qSRw5wtvcf2D9QsmsS15L4HTMn+GlnYN31Zda5Fg7TLIruADJniZeFYdI10F +RCCTi1YcQ4fsB+b+hsS7hgPHJ/ovQ8+6/Tt882cW4zCYIRSNPpxlaohH46rFiSkL +VQdslQAtvbuzCJ9CgHFPNLTlquSJ+DbXCq6AKFEiik73kw74VGHj34E8ZWa02GuD +470vqgm1JXKXNFHU9dkUZd/51e1fzso= -----END PRIVATE KEY----- */ static const uint8_t n_4096[] = { /* key component n, 512 bytes */ - 0xc6, 0x1a, 0x6b, 0x4f, 0x5e, 0x62, 0x47, 0xfb, 0x06, 0x0c, 0xb4, 0x93, - 0x4c, 0x73, 0xc6, 0x1b, 0x5a, 0xc7, 0x95, 0x84, 0xd8, 0x0e, 0xbb, 0x53, - 0x44, 0x7c, 0x27, 0x30, 0xc1, 0x2f, 0xf5, 0x7b, 0xfc, 0x67, 0xa2, 0xa4, - 0x62, 0x3e, 0x08, 0xb8, 0x12, 0xa3, 0x17, 0x13, 0x10, 0x43, 0xd7, 0x3d, - 0x6a, 0x1a, 0x61, 0xe3, 0x3a, 0x7a, 0x2e, 0x5c, 0xd7, 0x47, 0x7f, 0xbd, - 0x32, 0xf4, 0x82, 0x21, 0x39, 0xe2, 0xd7, 0x0f, 0x6a, 0x63, 0x84, 0x81, - 0x4d, 0x62, 0xd2, 0xfb, 0xf9, 0x6a, 0xde, 0x51, 0xa7, 0xe0, 0x02, 0x0d, - 0x47, 0x13, 0x61, 0x73, 0xee, 0x8e, 0x0d, 0x0e, 0x70, 0x02, 0xc7, 0xe9, - 0xe9, 0xf0, 0x6a, 0x01, 0xe9, 0xe7, 0x6d, 0xba, 0x07, 0xea, 0x2f, 0x9f, - 0xc7, 0x9e, 0xbb, 0xb3, 0xbb, 0x5a, 0x69, 0x0f, 0x69, 0x36, 0x86, 0xc6, - 0xd5, 0xbd, 0xb5, 0x69, 0xa6, 0x72, 0xc6, 0x22, 0x71, 0xb5, 0x92, 0xe5, - 0xd6, 0x28, 0xe7, 0xf3, 0x37, 0x8c, 0x05, 0x63, 0x5c, 0x82, 0x27, 0xa4, - 0x8b, 0x31, 0x0e, 0xdb, 0x1f, 0x07, 0x2b, 0xf0, 0x94, 0x50, 0x6b, 0x0b, - 0x70, 0x44, 0x8c, 0x94, 0xd4, 0x89, 0xd1, 0x38, 0xd1, 0x4e, 0xad, 0x2d, - 0x70, 0xbb, 0xe1, 0x50, 0xd4, 0x22, 0x2d, 0x55, 0xaf, 0x6a, 0x67, 0xc6, - 0x0b, 0x08, 0xc3, 0x1a, 0xa5, 0x6c, 0x5e, 0x7d, 0xd7, 0x32, 0x9a, 0xd4, - 0x8f, 0x42, 0xe7, 0x53, 0x5f, 0x25, 0x5c, 0xb5, 0xf0, 0x4f, 0x70, 0xc5, - 0xd3, 0x62, 0x90, 0xfe, 0x65, 0x6e, 0x37, 0xa0, 0x3f, 0xc9, 0x0c, 0x3a, - 0x1f, 0x3b, 0xab, 0x10, 0x13, 0x7a, 0x49, 0xca, 0xe0, 0x92, 0x0d, 0x6d, - 0x9e, 0xc0, 0x5b, 0x04, 0xa7, 0xb6, 0x99, 0x9c, 0x91, 0x90, 0xfc, 0x93, - 0x70, 0x3e, 0xa5, 0x8b, 0x1e, 0x08, 0x7c, 0x3a, 0x16, 0xb2, 0xb8, 0xfc, - 0x66, 0xff, 0xc2, 0x5b, 0x8f, 0x83, 0xf2, 0xe8, 0x12, 0x99, 0x7f, 0xde, - 0x1f, 0x98, 0x09, 0x6b, 0xac, 0x91, 0xb1, 0xe7, 0x9b, 0x4e, 0x9d, 0x62, - 0xfa, 0xa5, 0xa0, 0x83, 0x6d, 0x37, 0xc1, 0x28, 0xa8, 0x0a, 0x8f, 0x6f, - 0x05, 0x09, 0x87, 0xe3, 0x44, 0x44, 0xb9, 0xba, 0x67, 0x75, 0x44, 0x53, - 0xb0, 0x19, 0x22, 0x55, 0xcc, 0x90, 0xfd, 0x3e, 0xdf, 0x46, 0x8f, 0x1f, - 0x19, 0x28, 0x0e, 0xe2, 0xc9, 0x1e, 0x1a, 0x29, 0xda, 0x66, 0x7c, 0x56, - 0xee, 0x0d, 0xd2, 0x32, 0x67, 0x63, 0x6e, 0x9f, 0xa2, 0x45, 0x9c, 0x91, - 0x51, 0xd9, 0x70, 0x7b, 0x93, 0x54, 0x07, 0x39, 0xc9, 0xfb, 0x3b, 0x45, - 0xd4, 0xb5, 0x88, 0xd0, 0x6a, 0x1c, 0x1a, 0x29, 0xb9, 0xfc, 0xf4, 0xb1, - 0x64, 0x69, 0xfe, 0xf3, 0x1f, 0xea, 0xd0, 0xdb, 0x7a, 0xb3, 0xc8, 0xdc, - 0x04, 0xc9, 0xae, 0xb0, 0xd8, 0xb3, 0x4f, 0x4e, 0x14, 0x70, 0xeb, 0xd5, - 0x2b, 0x92, 0xdc, 0x7a, 0x77, 0x5d, 0x3e, 0x0e, 0x9f, 0x3a, 0xe1, 0x0b, - 0x6e, 0xce, 0x5e, 0x8f, 0x89, 0x18, 0x23, 0x63, 0x38, 0x8f, 0x9b, 0x09, - 0x57, 0x8e, 0x78, 0x8c, 0x94, 0xab, 0x20, 0x2e, 0xa0, 0x34, 0x95, 0x58, - 0xa6, 0x3b, 0x7b, 0x21, 0x0f, 0x97, 0x5d, 0xb6, 0x8a, 0xe4, 0x04, 0x93, - 0x73, 0x8f, 0xb1, 0x27, 0x81, 0x8e, 0x5d, 0x2c, 0x3f, 0x67, 0x38, 0x53, - 0x1d, 0xc4, 0x55, 0x4e, 0x54, 0x22, 0x80, 0xc4, 0x81, 0x2e, 0x2f, 0x3c, - 0x68, 0xf5, 0xf2, 0x4e, 0xbf, 0xb4, 0x90, 0x07, 0x15, 0x25, 0x29, 0x87, - 0xd7, 0x94, 0x42, 0xe4, 0x57, 0x75, 0x1a, 0x4a, 0xd3, 0xbb, 0x9b, 0xa6, - 0xc7, 0x4d, 0xb2, 0x56, 0xbf, 0xe8, 0x41, 0x83, 0x35, 0x24, 0xc2, 0x8d, - 0x7d, 0x06, 0xe4, 0x9c, 0xd0, 0xca, 0x44, 0x65, 0x0c, 0x77, 0x93, 0xde, - 0xf7, 0x7b, 0xe4, 0xcf, 0x6f, 0x35, 0xac, 0x91 + 0xae, 0x5b, 0xe8, 0x48, 0xde, 0xf7, 0xd6, 0x06, 0x59, 0xbf, 0x0a, 0x2c, + 0x06, 0x95, 0x02, 0xcb, 0x1b, 0xfe, 0x96, 0x08, 0x00, 0x79, 0x78, 0xd5, + 0x9f, 0x81, 0x6a, 0x63, 0xc4, 0x14, 0xca, 0x70, 0x61, 0xbe, 0x9c, 0xa9, + 0xe2, 0x01, 0x8a, 0xcb, 0xb6, 0xc9, 0x06, 0xe1, 0xfb, 0xb4, 0xcc, 0x99, + 0x79, 0xcd, 0xfd, 0x47, 0xbc, 0x68, 0x49, 0x5d, 0x6e, 0xb9, 0xea, 0x27, + 0x77, 0x95, 0xc1, 0x38, 0x74, 0x29, 0xad, 0x20, 0x37, 0x22, 0x79, 0xb2, + 0xde, 0xc6, 0xf9, 0x15, 0x70, 0x71, 0xa3, 0xfb, 0x77, 0x6c, 0x87, 0x48, + 0xbf, 0x45, 0x9d, 0xa1, 0x7c, 0xd2, 0x50, 0x25, 0xaf, 0x41, 0xa7, 0x36, + 0x77, 0x0e, 0xdb, 0x2e, 0x0c, 0xae, 0x1f, 0xe5, 0x39, 0x23, 0xd4, 0x1e, + 0x43, 0x49, 0xc0, 0xc4, 0x55, 0xf2, 0x27, 0x48, 0x70, 0xc0, 0x53, 0x6a, + 0xc3, 0xc6, 0xe0, 0xd7, 0x04, 0xc9, 0xd5, 0x5d, 0xdd, 0x3c, 0x08, 0x34, + 0xcb, 0x52, 0x23, 0x54, 0xfc, 0x11, 0x50, 0xcf, 0x45, 0xc4, 0x64, 0x96, + 0x74, 0x63, 0x80, 0x5e, 0x0a, 0x64, 0xe6, 0xd1, 0xc1, 0x84, 0x57, 0x72, + 0xe1, 0x6a, 0x13, 0x60, 0x16, 0x1f, 0xb5, 0x2e, 0x98, 0xb8, 0x70, 0x1c, + 0x12, 0xb7, 0xe1, 0x28, 0x15, 0x85, 0xa2, 0xb0, 0xfa, 0xfd, 0x29, 0x78, + 0xc0, 0x6c, 0x75, 0x42, 0x01, 0x85, 0x07, 0x7e, 0xf5, 0xef, 0x13, 0x5c, + 0x17, 0xaa, 0x5d, 0x18, 0x7b, 0x13, 0x53, 0x44, 0x71, 0x1f, 0x11, 0x01, + 0xb6, 0xe0, 0x47, 0x84, 0x76, 0x3d, 0x97, 0x47, 0xbd, 0x8c, 0xb3, 0x7e, + 0xb1, 0xac, 0x78, 0x72, 0x90, 0x8b, 0x12, 0xc6, 0xe3, 0x23, 0xa1, 0xdb, + 0x09, 0x96, 0xa1, 0xbf, 0x24, 0xef, 0xd2, 0x01, 0xd7, 0x8b, 0x32, 0x3e, + 0x23, 0xeb, 0xc4, 0x83, 0xdb, 0xc1, 0x75, 0x7c, 0x89, 0xd6, 0xd9, 0x2c, + 0xe2, 0xd6, 0xd7, 0x97, 0x18, 0x36, 0x01, 0x68, 0xcc, 0x93, 0xd0, 0x6c, + 0x39, 0x91, 0x0e, 0x13, 0x16, 0x5a, 0xbc, 0x5c, 0x40, 0xf9, 0x84, 0x1e, + 0x48, 0xf2, 0x93, 0x82, 0xb7, 0x0b, 0xa8, 0x42, 0x5c, 0x3b, 0xbd, 0x58, + 0xe9, 0xd6, 0xdf, 0x74, 0x58, 0xbf, 0xdb, 0x6c, 0x0e, 0xd8, 0x73, 0x0b, + 0xfd, 0x23, 0x85, 0x77, 0xac, 0xe0, 0xa4, 0x3a, 0x49, 0x02, 0x25, 0xef, + 0xe6, 0x54, 0x1f, 0x59, 0xd1, 0x79, 0x98, 0xec, 0x29, 0xc3, 0x61, 0x45, + 0xe6, 0xdb, 0x5d, 0x7e, 0xa0, 0x87, 0x09, 0xcb, 0x34, 0xe7, 0x93, 0x48, + 0x8b, 0x57, 0x57, 0x11, 0x89, 0x30, 0x0c, 0x10, 0x4c, 0x4a, 0x4b, 0xbc, + 0x06, 0x27, 0x56, 0x40, 0x87, 0x80, 0x8c, 0x4e, 0x99, 0x36, 0x14, 0x1c, + 0x74, 0xb4, 0x66, 0xfd, 0xe3, 0xc0, 0x67, 0xcb, 0xe8, 0x31, 0x8c, 0x62, + 0xec, 0x62, 0x03, 0x58, 0x51, 0xba, 0x7d, 0x1a, 0x43, 0x83, 0xf2, 0xd6, + 0x31, 0xa3, 0xbe, 0xe4, 0xe1, 0x68, 0xe3, 0xed, 0x88, 0x14, 0x4c, 0x0d, + 0x80, 0xe3, 0x5c, 0xf1, 0x03, 0x42, 0xc7, 0xfd, 0xaa, 0x5f, 0x1d, 0x1a, + 0x3c, 0x6d, 0x29, 0xc8, 0x90, 0xb6, 0x30, 0xd8, 0xdc, 0xb3, 0x67, 0xe3, + 0x8e, 0x19, 0xae, 0xed, 0x5b, 0x7a, 0x19, 0xdb, 0xbc, 0x8c, 0x95, 0x69, + 0xd0, 0x18, 0x41, 0x2b, 0x1f, 0xa1, 0x1c, 0x28, 0xdb, 0xc1, 0xd9, 0xde, + 0x20, 0x52, 0xc9, 0x56, 0x12, 0x33, 0xa7, 0xf5, 0x7c, 0xea, 0x16, 0x75, + 0xd1, 0x0f, 0x64, 0x54, 0x3d, 0xf0, 0xcf, 0x7a, 0xc3, 0x09, 0xe1, 0x79, + 0x65, 0x97, 0x6a, 0xfb, 0xc3, 0x88, 0x4c, 0x07, 0xdf, 0xd5, 0x36, 0x43, + 0xed, 0x79, 0xb1, 0x3e, 0xae, 0x1e, 0x4d, 0x07, 0xe7, 0x16, 0x92, 0xfc, + 0x2b, 0x65, 0x6a, 0xa5, 0xc1, 0x73, 0x02, 0x1b, 0xfe, 0xa8, 0xdd, 0xae, + 0x43, 0x75, 0xe9, 0xff, 0x6f, 0x9d, 0xfc, 0xed }; static const uint8_t e_4096[] = { /* key component e, 4 bytes */ @@ -395,124 +441,174 @@ static const uint8_t e_4096[] = { /* key component e, 4 bytes */ }; static const uint8_t d_4096[] = { /* key component d, 512 bytes */ - 0x97, 0xb1, 0xd3, 0x4a, 0x4b, 0x73, 0xe6, 0xba, 0x89, 0xbf, 0x60, 0xe7, - 0x0a, 0x3b, 0xfd, 0x0f, 0x25, 0x4c, 0x7f, 0x69, 0xe2, 0x28, 0x25, 0xb9, - 0x75, 0x4f, 0xbc, 0x92, 0xd0, 0xdb, 0xf0, 0x96, 0xa8, 0x88, 0x93, 0x3a, - 0x5d, 0x20, 0x33, 0x7d, 0x00, 0x88, 0x72, 0x3a, 0xde, 0xd1, 0x94, 0x18, - 0x2b, 0x0f, 0x58, 0xb5, 0xaf, 0x29, 0xb0, 0x26, 0xd7, 0x92, 0xa0, 0x76, - 0x38, 0x76, 0x92, 0xce, 0xee, 0x8c, 0x8d, 0x31, 0xf8, 0xbd, 0x8b, 0xd1, - 0x97, 0x78, 0x7d, 0x27, 0x05, 0xae, 0x97, 0xde, 0xdf, 0x35, 0xe1, 0x5c, - 0x59, 0x78, 0xb5, 0xbf, 0x18, 0x85, 0x1d, 0xea, 0x58, 0x4b, 0x48, 0xda, - 0x0d, 0x91, 0x53, 0x1b, 0x74, 0x09, 0x0b, 0x34, 0xd0, 0xaa, 0xbb, 0x1d, - 0x16, 0xb6, 0xad, 0xf4, 0xcb, 0x1a, 0x48, 0x28, 0xcc, 0xe0, 0x3c, 0x04, - 0x35, 0xd7, 0xb6, 0xfa, 0xd7, 0xc2, 0x3b, 0x86, 0x54, 0x9c, 0x3d, 0x88, - 0x51, 0x9d, 0xb1, 0x3f, 0xc4, 0xe1, 0x2b, 0x9f, 0x12, 0x4f, 0x78, 0x1b, - 0xbf, 0x9a, 0x29, 0x4e, 0x11, 0x4c, 0x64, 0x91, 0x2c, 0x81, 0x07, 0xf7, - 0x12, 0x58, 0xeb, 0x6d, 0x6b, 0xf2, 0xbc, 0x8b, 0x4d, 0x7b, 0x79, 0x90, - 0xba, 0x2a, 0xa4, 0x36, 0x48, 0xba, 0x83, 0x0c, 0x81, 0xee, 0x70, 0xd8, - 0x6d, 0xca, 0x9f, 0xdb, 0xdf, 0xa0, 0x44, 0x1b, 0x08, 0x96, 0x6f, 0x89, - 0x24, 0xca, 0x8e, 0x68, 0x81, 0x0b, 0x13, 0x1b, 0x1e, 0x91, 0x36, 0x41, - 0xc5, 0xc4, 0x4c, 0x53, 0x01, 0x48, 0x8c, 0xbf, 0xe1, 0x18, 0x0a, 0x8c, - 0xd7, 0x2d, 0xd1, 0xa7, 0xd5, 0xc2, 0x66, 0x8f, 0x3b, 0xb7, 0x9b, 0x20, - 0xbd, 0xd7, 0x7d, 0xda, 0xea, 0xb2, 0x20, 0x9e, 0x8b, 0xb9, 0x02, 0x2f, - 0xc4, 0x5b, 0xb4, 0x57, 0xfa, 0xff, 0x74, 0x60, 0xe6, 0xd0, 0xa4, 0x66, - 0x62, 0x58, 0xa6, 0x72, 0x2b, 0x41, 0x3a, 0xb8, 0xab, 0x03, 0xbf, 0x14, - 0x83, 0xb6, 0x22, 0xbe, 0xea, 0xfa, 0x07, 0xf7, 0x5c, 0xbb, 0x34, 0x48, - 0x31, 0xb4, 0xf3, 0x1b, 0xac, 0xd3, 0x61, 0xe7, 0xf9, 0x09, 0x6a, 0x8d, - 0x9c, 0x3c, 0x3f, 0x64, 0xa4, 0xae, 0x9e, 0xe7, 0xae, 0x5c, 0x8a, 0x4b, - 0x4b, 0x88, 0x9d, 0xa0, 0xd9, 0x75, 0x3a, 0x96, 0xa1, 0xf9, 0xef, 0xc6, - 0x51, 0x77, 0x37, 0x9d, 0x30, 0x99, 0xd2, 0x95, 0xa4, 0x19, 0x1a, 0xd2, - 0x95, 0x6e, 0xca, 0xf4, 0x44, 0x3b, 0xda, 0x41, 0xe1, 0x1e, 0xba, 0x8c, - 0xf3, 0x73, 0x5f, 0x65, 0x1c, 0xa6, 0x64, 0x99, 0x45, 0xc0, 0x96, 0x23, - 0xa4, 0x5c, 0xf5, 0x8a, 0xc7, 0x8c, 0xac, 0x64, 0xc5, 0x09, 0x9c, 0x73, - 0x14, 0x50, 0x06, 0x5a, 0xb8, 0x2e, 0x93, 0x77, 0x3d, 0x2f, 0x40, 0x18, - 0x9c, 0xa5, 0x3f, 0x53, 0x6c, 0x2c, 0xdb, 0x78, 0x1f, 0x09, 0x2e, 0x13, - 0xac, 0xc4, 0x86, 0xa0, 0x2c, 0xdc, 0xcd, 0xf2, 0x8c, 0xae, 0xe0, 0xcb, - 0x61, 0x99, 0x3d, 0x92, 0x29, 0x1b, 0x0f, 0xa1, 0x86, 0xd9, 0x03, 0xaa, - 0xe4, 0x7e, 0x82, 0xa0, 0xaf, 0x39, 0x86, 0x8d, 0x6e, 0x14, 0xe2, 0x6f, - 0xa2, 0x9c, 0x0b, 0x13, 0x50, 0x77, 0x8e, 0xed, 0x96, 0x83, 0xab, 0xea, - 0x9a, 0x5e, 0xc4, 0x79, 0x9a, 0x52, 0xb4, 0xf0, 0x9c, 0x63, 0xb5, 0x17, - 0x36, 0x42, 0x0b, 0xb2, 0xa0, 0xc9, 0xed, 0xb2, 0x69, 0x97, 0x94, 0xcd, - 0xcb, 0xb1, 0xbb, 0x89, 0x61, 0x4e, 0x23, 0x51, 0xec, 0x6c, 0x26, 0x30, - 0x19, 0x62, 0xa8, 0xd7, 0xca, 0x43, 0xf1, 0xdf, 0x03, 0xb7, 0xb3, 0x7d, - 0x9e, 0x0d, 0xbc, 0x8a, 0xc4, 0x58, 0x4d, 0x8d, 0x23, 0x82, 0xcc, 0x6b, - 0xcf, 0xfc, 0x3b, 0xf1, 0x73, 0xd0, 0x59, 0x72, 0x62, 0xdf, 0x70, 0x00, - 0x3d, 0x3b, 0xe8, 0x43, 0x4f, 0xf8, 0xb0, 0x01 + 0x09, 0x4f, 0xc7, 0x3b, 0xfd, 0x0c, 0x67, 0x55, 0xb7, 0x7d, 0x48, 0x61, + 0xc9, 0x88, 0x33, 0xb9, 0xfd, 0x28, 0xbf, 0x82, 0x75, 0xe4, 0x06, 0xdc, + 0x01, 0xc4, 0xbb, 0x95, 0xd0, 0x66, 0xfb, 0xd8, 0xbc, 0x9f, 0x9d, 0x66, + 0x45, 0x37, 0xa7, 0xdd, 0xf1, 0x49, 0x13, 0x21, 0x06, 0x7c, 0x45, 0x60, + 0xfc, 0xec, 0x4f, 0x56, 0x81, 0x6d, 0x60, 0x5d, 0xa9, 0x08, 0x2c, 0xc5, + 0x26, 0xd1, 0xcc, 0x9b, 0xe3, 0x38, 0x46, 0x92, 0xad, 0xdf, 0x1d, 0x78, + 0xbc, 0x05, 0x0c, 0x50, 0x64, 0xcc, 0xec, 0xe1, 0x05, 0x23, 0xba, 0xa5, + 0xdb, 0xf1, 0x2f, 0xd5, 0xec, 0x00, 0x9f, 0x5f, 0x23, 0xd8, 0xf1, 0xc1, + 0x2a, 0xe2, 0x94, 0x3a, 0x05, 0x5b, 0x57, 0x40, 0xba, 0xa8, 0x7b, 0x2f, + 0x92, 0x90, 0x61, 0xc7, 0x1a, 0x7f, 0xf0, 0x31, 0x22, 0x34, 0x63, 0x40, + 0x14, 0x6c, 0x8e, 0x9d, 0x6d, 0x18, 0x0a, 0x59, 0x14, 0xf3, 0x9b, 0xcc, + 0x95, 0xff, 0x30, 0xfb, 0xdc, 0xea, 0x5f, 0xd2, 0x71, 0xfb, 0x67, 0x13, + 0xd1, 0xeb, 0x6e, 0x73, 0x97, 0x42, 0x84, 0x41, 0x37, 0x80, 0x85, 0xdb, + 0x10, 0xc6, 0xc5, 0x7a, 0x20, 0x34, 0x59, 0x4c, 0xbf, 0xc3, 0x39, 0xd9, + 0x85, 0xf6, 0x64, 0x03, 0xec, 0x02, 0x53, 0x09, 0xf8, 0x9d, 0x84, 0x95, + 0x7a, 0x51, 0x50, 0x81, 0xd1, 0xea, 0xf4, 0xd7, 0x86, 0xf2, 0xd9, 0xa9, + 0xd5, 0x69, 0xb7, 0xc7, 0x12, 0xeb, 0x99, 0x4a, 0xd2, 0x6f, 0xc2, 0x4c, + 0xc1, 0x23, 0x81, 0x2e, 0x45, 0xd2, 0x4c, 0x3d, 0xfc, 0x95, 0x83, 0x10, + 0x85, 0x14, 0x9c, 0xea, 0x21, 0x66, 0x0b, 0xfe, 0xab, 0x2a, 0xbf, 0xfe, + 0x1e, 0xa8, 0xf8, 0xc2, 0x68, 0x8a, 0x96, 0x40, 0x9a, 0xee, 0x48, 0x24, + 0xa1, 0x6e, 0x79, 0xf4, 0x40, 0xcc, 0x38, 0x26, 0x0a, 0x86, 0x7a, 0xda, + 0xb6, 0xd2, 0x9a, 0x78, 0xd4, 0x9b, 0x73, 0x76, 0x0d, 0xc7, 0x87, 0x68, + 0x00, 0x30, 0xef, 0xc6, 0x5f, 0xf5, 0x17, 0x53, 0xd3, 0x0d, 0x3c, 0x7e, + 0x9f, 0xe1, 0x5d, 0x53, 0xb7, 0xf4, 0x73, 0x27, 0x30, 0x4e, 0x6c, 0x15, + 0x01, 0xa7, 0x94, 0x9b, 0x1b, 0x36, 0xfe, 0xf8, 0xa9, 0xf0, 0x48, 0x1f, + 0xaf, 0xbc, 0x7c, 0x35, 0x3b, 0xea, 0xb5, 0x96, 0x0a, 0xae, 0xbb, 0x13, + 0x48, 0x10, 0x90, 0x09, 0xee, 0x61, 0x77, 0x33, 0x15, 0x23, 0x8f, 0xc1, + 0x92, 0x67, 0xf0, 0x4e, 0x0d, 0x71, 0xee, 0xbb, 0x51, 0xec, 0x90, 0xab, + 0xa0, 0x90, 0x12, 0xe0, 0xb5, 0x5d, 0x3a, 0xd6, 0xdf, 0x86, 0x41, 0x50, + 0x7c, 0xb9, 0xa6, 0xe6, 0xbd, 0x52, 0xe1, 0x72, 0x98, 0x66, 0x12, 0x35, + 0x10, 0x4e, 0x50, 0x2d, 0xe4, 0xba, 0xb4, 0xd8, 0x66, 0x68, 0x69, 0x70, + 0x0b, 0x3d, 0x8f, 0xcb, 0x55, 0x61, 0x26, 0xfa, 0xda, 0xf3, 0x43, 0x65, + 0xbb, 0xe4, 0x61, 0x74, 0x72, 0x3e, 0x3a, 0x6f, 0x45, 0x38, 0x69, 0xb6, + 0xd0, 0xa8, 0x6b, 0xa0, 0xec, 0xdd, 0xf8, 0x8c, 0x7e, 0xc3, 0x7f, 0x01, + 0xba, 0x50, 0xaa, 0x24, 0x83, 0xc5, 0x1d, 0x8c, 0x5f, 0x4a, 0x24, 0x84, + 0x79, 0x6b, 0x6a, 0xbd, 0xae, 0x71, 0xb3, 0x4c, 0x26, 0x8c, 0x47, 0x7f, + 0x98, 0x94, 0xa3, 0x43, 0xe3, 0xf4, 0xb2, 0x11, 0xb6, 0x6c, 0x88, 0x2b, + 0xf8, 0x61, 0xd6, 0xe0, 0x08, 0x78, 0xe9, 0x2c, 0xf0, 0xce, 0xb7, 0xc0, + 0x09, 0xa2, 0xba, 0xe1, 0xde, 0x0e, 0x45, 0xc0, 0x32, 0x3b, 0x93, 0xde, + 0x3e, 0x7d, 0x69, 0x2d, 0x63, 0x45, 0x2b, 0x89, 0x2d, 0x99, 0xb1, 0x82, + 0x7a, 0xad, 0xb4, 0xd6, 0xde, 0x60, 0xfa, 0xab, 0xef, 0x87, 0xa9, 0x32, + 0xc1, 0x63, 0x7b, 0xb8, 0x32, 0xd0, 0x05, 0xe1, 0xe5, 0x04, 0xb7, 0x06, + 0x29, 0xf1, 0x1f, 0xbb, 0x38, 0x28, 0xe3, 0x51 }; static const uint8_t p_4096[] = { /* key component p, 256 bytes */ - 0xc9, 0x6c, 0x26, 0x11, 0xb3, 0x7e, 0x87, 0x65, 0x5c, 0x55, 0xa8, 0xbc, - 0x88, 0x57, 0xf9, 0xb1, 0x5f, 0x6e, 0xe0, 0xd1, 0x5e, 0x73, 0x11, 0xd8, - 0xfb, 0x70, 0xab, 0x21, 0xa2, 0x69, 0xe1, 0x1d, 0xd5, 0xda, 0x01, 0x58, - 0x1d, 0x57, 0x28, 0x88, 0x00, 0xcf, 0x53, 0x7c, 0xa7, 0xf0, 0xed, 0x0f, - 0xc2, 0x6d, 0x54, 0x3c, 0xa6, 0x5e, 0x8a, 0x7f, 0xca, 0x67, 0xdc, 0x4f, - 0x63, 0xce, 0x4d, 0x12, 0x7b, 0x9e, 0xd2, 0xe2, 0x68, 0x6d, 0xea, 0xd6, - 0x05, 0xe2, 0x02, 0x57, 0xf8, 0xa9, 0x7c, 0x90, 0x7d, 0x0a, 0x04, 0xff, - 0x47, 0xf1, 0x5e, 0x24, 0x95, 0x08, 0x3a, 0x27, 0x30, 0xe6, 0x6b, 0xbb, - 0x95, 0xe8, 0x08, 0x67, 0x9a, 0xab, 0x8a, 0xd4, 0x41, 0xc7, 0x68, 0xdd, - 0xd6, 0x92, 0xbe, 0x63, 0x15, 0x72, 0x62, 0xf8, 0x2c, 0x44, 0x37, 0x0d, - 0xa6, 0x19, 0xa8, 0x16, 0x9c, 0x9c, 0x29, 0xf7, 0x6b, 0xb9, 0xb3, 0x57, - 0x03, 0x75, 0xf0, 0xf3, 0x67, 0xbf, 0xfb, 0x1f, 0xa2, 0x15, 0xfa, 0xf9, - 0x40, 0xfc, 0x58, 0xe1, 0x94, 0xf4, 0x5c, 0xda, 0x15, 0x43, 0xb2, 0x82, - 0xa2, 0x7f, 0x06, 0xea, 0x14, 0x74, 0x46, 0x5d, 0xbb, 0x6f, 0xe5, 0x66, - 0x2d, 0x29, 0x47, 0xaa, 0x34, 0x3c, 0x01, 0x7a, 0x6f, 0xcd, 0x7f, 0x68, - 0x92, 0xb4, 0x27, 0x76, 0xe6, 0x97, 0x5c, 0xdf, 0x59, 0x17, 0x31, 0x50, - 0xce, 0x00, 0x73, 0x88, 0x33, 0x3a, 0x07, 0x16, 0x86, 0x75, 0xe0, 0x8a, - 0x8e, 0xfe, 0x0a, 0xe7, 0xe1, 0x88, 0xe5, 0x18, 0x6c, 0x79, 0x86, 0xd8, - 0x46, 0x48, 0x38, 0x04, 0x28, 0x29, 0x12, 0x87, 0x26, 0x69, 0xa7, 0xf6, - 0x78, 0xb6, 0x6e, 0x05, 0x1a, 0x14, 0x26, 0x63, 0x08, 0x4b, 0xf2, 0x6d, - 0xd8, 0x2f, 0x29, 0x45, 0x85, 0x56, 0x47, 0x6c, 0xee, 0x1c, 0x35, 0xe1, - 0x3d, 0xf9, 0x6d, 0xf1 + 0xc0, 0x3d, 0xe4, 0x29, 0xfa, 0x44, 0xac, 0x61, 0x54, 0x74, 0x4a, 0xe8, + 0x9a, 0x48, 0x29, 0xfe, 0x3b, 0xef, 0x72, 0xb4, 0xf5, 0x1e, 0xbd, 0x58, + 0xed, 0xfd, 0x67, 0x25, 0x9f, 0x1f, 0x57, 0x35, 0x37, 0x9a, 0xa2, 0x3d, + 0xab, 0x07, 0x09, 0x6a, 0xb9, 0xae, 0x74, 0xc7, 0x50, 0x4f, 0x55, 0x77, + 0xce, 0x21, 0x7a, 0xd0, 0x2f, 0x60, 0x15, 0xd3, 0x16, 0x3e, 0xed, 0xa2, + 0xe6, 0x85, 0x50, 0x50, 0x27, 0xe1, 0x5f, 0x03, 0x98, 0x4c, 0x16, 0x8d, + 0x2c, 0xea, 0x1f, 0x85, 0x11, 0xe2, 0x5d, 0x8c, 0x14, 0xb5, 0xc1, 0xdd, + 0xee, 0x1f, 0x8d, 0x0e, 0x50, 0xa6, 0xec, 0x21, 0xea, 0x67, 0x77, 0xbc, + 0xf1, 0x8d, 0xb5, 0xe0, 0x27, 0x39, 0x82, 0x86, 0x66, 0xa2, 0x55, 0x15, + 0x31, 0xc2, 0xa8, 0xb5, 0x9a, 0xa5, 0xa1, 0x30, 0x68, 0x2b, 0xbe, 0xde, + 0x36, 0xcf, 0x03, 0x19, 0x50, 0x09, 0x17, 0x5d, 0xbb, 0x32, 0x93, 0x52, + 0x77, 0x8f, 0xe9, 0xa5, 0xc2, 0xcc, 0x8b, 0x37, 0xcf, 0x3b, 0x7c, 0x78, + 0xd6, 0xf2, 0xd6, 0x4f, 0x36, 0xbd, 0x9f, 0xd2, 0xe5, 0x6c, 0xf1, 0xcb, + 0x66, 0xbd, 0x21, 0x08, 0x94, 0x39, 0x8c, 0xb1, 0xa2, 0x2d, 0xbb, 0x70, + 0xc1, 0x37, 0xf2, 0x73, 0xe9, 0xe3, 0x8b, 0xe9, 0x80, 0x4e, 0xd5, 0x81, + 0xa2, 0x8a, 0x74, 0x07, 0x66, 0x4d, 0x1a, 0x11, 0xb3, 0x9d, 0xd2, 0xe2, + 0x76, 0xef, 0x8c, 0x26, 0x43, 0x6e, 0x29, 0x02, 0x6a, 0xe1, 0x1f, 0x66, + 0xed, 0xbe, 0xe4, 0x34, 0xe7, 0xf7, 0x7e, 0x69, 0x2b, 0x2c, 0x25, 0x00, + 0x73, 0xa1, 0x2a, 0x99, 0xdc, 0x8f, 0x35, 0x9d, 0x29, 0x59, 0x02, 0x30, + 0xa2, 0x82, 0x2e, 0xac, 0xca, 0x3f, 0x19, 0xf4, 0xef, 0x74, 0x77, 0x6c, + 0xdd, 0x2d, 0x0c, 0x78, 0x23, 0xac, 0x38, 0xe9, 0x1a, 0xda, 0xb7, 0xf6, + 0x37, 0x99, 0x68, 0xab }; static const uint8_t q_4096[] = { /* key component q, 256 bytes */ - 0xfb, 0xc8, 0x06, 0xfb, 0x50, 0xe1, 0x8a, 0x5d, 0x91, 0xb3, 0xe0, 0xad, - 0xc3, 0xfd, 0xb6, 0xd1, 0x34, 0xa3, 0x35, 0xe1, 0x09, 0x4b, 0xf5, 0x0d, - 0xf0, 0x6a, 0x54, 0xf0, 0x65, 0xf8, 0xf9, 0x9d, 0xbf, 0xed, 0xb8, 0xbc, - 0x2f, 0x47, 0x01, 0x06, 0x42, 0x39, 0x6c, 0x93, 0x80, 0xb0, 0x77, 0x56, - 0x53, 0xcf, 0x92, 0x42, 0x06, 0x8b, 0x4a, 0x09, 0xdb, 0x11, 0x47, 0xfa, - 0x7a, 0xf2, 0x2a, 0xcb, 0x1a, 0x78, 0x7f, 0x13, 0x64, 0xaf, 0x1f, 0xb4, - 0x20, 0x4a, 0x75, 0xb7, 0xf4, 0x35, 0x05, 0x4b, 0x7b, 0x8e, 0xb8, 0xc6, - 0xdf, 0xca, 0xf6, 0xc9, 0x54, 0x52, 0x8f, 0xa5, 0x95, 0xce, 0xe6, 0x5b, - 0x52, 0x83, 0x38, 0x65, 0xd8, 0x12, 0x84, 0x9c, 0x72, 0xa5, 0xb7, 0x0b, - 0x21, 0xdf, 0xd3, 0xeb, 0x84, 0x47, 0x54, 0x4d, 0x3b, 0xbd, 0xae, 0xd9, - 0x89, 0xd9, 0xa5, 0x11, 0xb4, 0xcb, 0x58, 0x4e, 0xa7, 0xd9, 0xe0, 0xc2, - 0x39, 0xd8, 0xb7, 0xbe, 0xe4, 0x38, 0x83, 0x6f, 0x7b, 0x13, 0xb9, 0xc2, - 0x91, 0x2c, 0x1c, 0x78, 0x4d, 0x28, 0x83, 0x80, 0x24, 0xa8, 0x31, 0x16, - 0x4d, 0x4a, 0x10, 0x7f, 0xbc, 0xc0, 0x82, 0x8a, 0x6b, 0x68, 0xb6, 0xe9, - 0x63, 0xbd, 0xdf, 0x56, 0x37, 0xa2, 0x68, 0xa4, 0x2f, 0x56, 0x22, 0xc4, - 0x49, 0x05, 0x25, 0x3e, 0xbf, 0x2e, 0x87, 0x49, 0x98, 0x3a, 0x5f, 0x96, - 0xf2, 0x2c, 0x96, 0x9e, 0xbd, 0xcd, 0xa3, 0xfa, 0x75, 0xe8, 0x62, 0x1a, - 0xe2, 0xee, 0x91, 0xb0, 0xe4, 0xdb, 0x77, 0xea, 0x61, 0x6b, 0x1e, 0x58, - 0x72, 0x7c, 0xd9, 0x9b, 0xf9, 0x9b, 0x7a, 0x1e, 0x84, 0xcb, 0xe8, 0x9f, - 0xb1, 0x29, 0x7d, 0xc3, 0xa3, 0xe6, 0x89, 0x12, 0xed, 0x52, 0xb2, 0x9d, - 0x13, 0xc6, 0xa9, 0xfc, 0x00, 0x53, 0x70, 0x70, 0xfd, 0x5a, 0xc2, 0x13, - 0x00, 0x68, 0x08, 0xa1 + 0xe8, 0x2f, 0xb2, 0xa3, 0xaa, 0xfd, 0x22, 0x52, 0x4f, 0xd5, 0x15, 0xb8, + 0xb1, 0xa6, 0xf5, 0x30, 0x7f, 0x41, 0xb0, 0x94, 0x99, 0xc0, 0xbb, 0x2a, + 0xdc, 0xa5, 0x49, 0x54, 0xa8, 0xce, 0x41, 0x06, 0x4f, 0xe3, 0x6c, 0xb4, + 0xca, 0x3d, 0x7c, 0xe4, 0x4d, 0x32, 0x08, 0xcd, 0x9b, 0xd8, 0xdf, 0x6a, + 0xa6, 0x48, 0xda, 0x5d, 0x7f, 0xf9, 0xff, 0x94, 0xd4, 0x7b, 0x96, 0x2d, + 0x3b, 0x74, 0x9b, 0x5d, 0xf5, 0x1b, 0xdf, 0x5c, 0x30, 0x05, 0x91, 0xfd, + 0x06, 0xc7, 0x08, 0x51, 0x34, 0xe0, 0x27, 0xf8, 0xa4, 0x96, 0x36, 0xa4, + 0xd0, 0x2b, 0xb0, 0xbc, 0xc3, 0x61, 0xc6, 0xad, 0xda, 0xa4, 0x65, 0x11, + 0x77, 0x67, 0x14, 0x0e, 0x58, 0xc6, 0xd6, 0x67, 0x5a, 0x2f, 0x4a, 0xa7, + 0x17, 0xc3, 0x1d, 0xf2, 0x14, 0x24, 0xa6, 0xfe, 0xae, 0x84, 0x74, 0x64, + 0xa9, 0x5d, 0xd8, 0x80, 0xf4, 0xc9, 0xae, 0x0c, 0x8e, 0x47, 0x3b, 0xe5, + 0x3b, 0xb7, 0xde, 0x15, 0x79, 0x3c, 0x20, 0xda, 0xc9, 0x68, 0xf3, 0xf9, + 0x29, 0x2c, 0xbb, 0x60, 0x17, 0xc3, 0x97, 0x3a, 0x5e, 0xb9, 0xac, 0xee, + 0x65, 0x3e, 0xe3, 0xd1, 0xaf, 0x46, 0xf6, 0x81, 0x5b, 0xfc, 0x07, 0xe2, + 0xea, 0x77, 0xdc, 0x14, 0x4e, 0x18, 0x10, 0x88, 0x34, 0x8f, 0x80, 0xb0, + 0x46, 0x55, 0xb4, 0x3e, 0x18, 0x41, 0x11, 0x18, 0xbe, 0xc9, 0x7f, 0x3c, + 0xf1, 0x81, 0x6d, 0x98, 0x13, 0x79, 0x8b, 0xd2, 0xad, 0x12, 0xba, 0xca, + 0x22, 0xd6, 0x10, 0xd5, 0x82, 0x70, 0x70, 0xf9, 0x3c, 0x33, 0x1f, 0xbe, + 0x21, 0xc8, 0x34, 0x91, 0x54, 0xb0, 0xdb, 0x30, 0x8d, 0xb2, 0x20, 0x87, + 0xcf, 0xef, 0xb7, 0x98, 0xaf, 0x28, 0x2b, 0x51, 0xf1, 0x76, 0xdd, 0xe3, + 0x46, 0x8f, 0xa2, 0xfe, 0xa2, 0x09, 0x83, 0x7f, 0xbf, 0xa0, 0x0b, 0xfa, + 0x03, 0x58, 0xe0, 0xc7 +}; + +static const uint8_t dP_4096[] = { /* key component dP, 256 bytes */ + 0x1b, 0x7f, 0xff, 0x06, 0x9e, 0x3d, 0x7a, 0xa7, 0x45, 0xac, 0x89, 0x16, + 0xb3, 0x13, 0x45, 0xa6, 0x8f, 0xae, 0x56, 0x2b, 0x5a, 0xb1, 0x36, 0x06, + 0xe5, 0xac, 0x8d, 0x37, 0xcd, 0x86, 0x6f, 0x34, 0x36, 0xab, 0x11, 0x30, + 0x5f, 0x29, 0xd7, 0x88, 0x03, 0xdd, 0xd7, 0xe8, 0xb7, 0x2d, 0x52, 0x1d, + 0x9c, 0x48, 0x1f, 0xc8, 0x6e, 0x2e, 0x81, 0x90, 0xbb, 0xaa, 0xee, 0xd5, + 0x91, 0xc2, 0x5a, 0x55, 0xcd, 0x0e, 0xa9, 0x47, 0xdb, 0x5e, 0x6f, 0x0f, + 0x6c, 0xf0, 0x64, 0xe7, 0xe5, 0x42, 0x0b, 0x7d, 0xc1, 0x6c, 0xaa, 0xb9, + 0xf3, 0x99, 0x61, 0xd5, 0x3d, 0x66, 0x53, 0x7b, 0x1a, 0x8c, 0x08, 0x8d, + 0xe7, 0xc4, 0x0c, 0xd3, 0x6e, 0xe9, 0x04, 0x29, 0xf3, 0xbe, 0x9f, 0x0b, + 0x34, 0x1e, 0x13, 0x82, 0x3f, 0x08, 0x18, 0x81, 0xd3, 0x35, 0x06, 0xcd, + 0xc4, 0xeb, 0x62, 0x17, 0x19, 0xe2, 0xe3, 0x0b, 0xce, 0x7e, 0x92, 0xa2, + 0x86, 0x65, 0xf8, 0xd7, 0x74, 0x81, 0x4c, 0x1d, 0x04, 0xb1, 0x0e, 0xc2, + 0x3e, 0x85, 0x68, 0x70, 0xd6, 0x74, 0xd3, 0xcb, 0x18, 0x74, 0xb8, 0x36, + 0x0f, 0x91, 0x58, 0x8b, 0x60, 0xa0, 0xc6, 0xe6, 0x96, 0x3b, 0x92, 0x87, + 0xb3, 0xac, 0x2c, 0x2b, 0xb6, 0xb6, 0x8d, 0x4a, 0x2e, 0xc7, 0x98, 0x35, + 0x3e, 0x2a, 0x2e, 0x24, 0xec, 0xd6, 0x74, 0xb7, 0x39, 0x89, 0x87, 0x24, + 0x4c, 0x3d, 0x42, 0x40, 0x2a, 0xff, 0x34, 0x30, 0x9b, 0x57, 0x6e, 0xe5, + 0x8b, 0x76, 0xf6, 0x30, 0x37, 0x4a, 0xa9, 0x33, 0xa4, 0x30, 0x61, 0x6e, + 0xaa, 0x1b, 0xd0, 0xfb, 0x47, 0x98, 0xd8, 0xe3, 0x8d, 0x89, 0xa5, 0x0d, + 0x8e, 0x01, 0xaf, 0x69, 0x9a, 0x58, 0xe2, 0x7e, 0xae, 0x4e, 0x6b, 0xd3, + 0x0f, 0xe4, 0xa4, 0xd6, 0xfe, 0xcb, 0x61, 0x2c, 0xbf, 0x61, 0xb0, 0x55, + 0x31, 0x68, 0xe9, 0x97 +}; + +static const uint8_t dQ_4096[] = { /* key component dQ, 256 bytes */ + 0x88, 0x36, 0xf3, 0x66, 0x71, 0x79, 0xf0, 0x18, 0xba, 0x1d, 0x18, 0x91, + 0x32, 0x27, 0xf0, 0xd0, 0x72, 0xd7, 0xe6, 0xf0, 0x47, 0x03, 0x7a, 0xca, + 0xba, 0x87, 0x7d, 0x6d, 0xdd, 0x5a, 0xa3, 0x6b, 0x40, 0x92, 0xfb, 0xc3, + 0x54, 0xa2, 0x9e, 0x12, 0x91, 0xf7, 0x38, 0x92, 0xe7, 0x4b, 0x64, 0x46, + 0xfd, 0x26, 0xe0, 0x74, 0xda, 0x0f, 0xa0, 0x91, 0x7f, 0xd6, 0xc1, 0x53, + 0xe7, 0xfd, 0x90, 0xe8, 0x9e, 0x53, 0xab, 0xc6, 0x39, 0xa6, 0x0a, 0xef, + 0x96, 0x7a, 0x4d, 0xb6, 0xd6, 0x7e, 0x6a, 0xf4, 0xc4, 0x1a, 0x1c, 0x14, + 0xb4, 0xcb, 0xec, 0xf3, 0xd0, 0xec, 0x1b, 0xd3, 0x02, 0xe2, 0x4f, 0x28, + 0xe0, 0x13, 0xe9, 0x00, 0x41, 0xb4, 0xe5, 0x33, 0xdd, 0x04, 0xc1, 0x97, + 0x25, 0xa9, 0xa2, 0x77, 0xd2, 0xb9, 0x6d, 0xff, 0x1c, 0x03, 0x39, 0x05, + 0x95, 0x17, 0x29, 0x5c, 0xfe, 0x3f, 0x13, 0x8c, 0xea, 0x2b, 0x80, 0x48, + 0x0b, 0xb0, 0xe2, 0xe9, 0x56, 0x26, 0xa0, 0x5f, 0xba, 0xa9, 0x87, 0xf8, + 0x34, 0xdf, 0xb9, 0x4d, 0xb6, 0xa3, 0x58, 0xa5, 0x35, 0xcd, 0x58, 0x56, + 0xc3, 0xaf, 0x11, 0x98, 0x82, 0x6b, 0xef, 0x52, 0x14, 0xd4, 0xd7, 0x0b, + 0x98, 0xe2, 0x98, 0x8a, 0x91, 0x06, 0x2d, 0x2c, 0xbb, 0x29, 0x35, 0x26, + 0x35, 0x1d, 0x32, 0x90, 0xfb, 0x49, 0xb0, 0xee, 0x03, 0x7f, 0xd2, 0xd5, + 0xbe, 0x19, 0x60, 0x62, 0x47, 0x8a, 0x97, 0x2d, 0x11, 0xbc, 0x5b, 0x39, + 0x1b, 0x16, 0xda, 0xe9, 0x67, 0x8c, 0xef, 0xba, 0x48, 0x46, 0xf5, 0xe8, + 0x65, 0x89, 0x3e, 0xcd, 0xc4, 0x11, 0xbd, 0x85, 0xce, 0x9b, 0x21, 0xda, + 0x8b, 0x72, 0xe7, 0x12, 0xfc, 0x2f, 0x64, 0xba, 0xbe, 0x1e, 0x2e, 0x2e, + 0x97, 0xc6, 0xcc, 0xa8, 0xf6, 0x06, 0xfe, 0xce, 0x83, 0x6d, 0x31, 0x99, + 0x8b, 0x3d, 0x29, 0x21 }; static const uint8_t u_4096[] = { /* key component u, 256 bytes */ - 0x17, 0x6d, 0x50, 0x05, 0xa2, 0x81, 0x24, 0x76, 0xce, 0xe4, 0x5b, 0xad, - 0xfd, 0x41, 0x05, 0xac, 0x59, 0xe9, 0x03, 0x22, 0x4c, 0x8e, 0x70, 0xe1, - 0xee, 0xfb, 0x66, 0x29, 0xee, 0x8e, 0x9a, 0x59, 0x84, 0x6c, 0x07, 0x71, - 0xbb, 0x3c, 0x78, 0xf1, 0xa0, 0x5a, 0x23, 0x18, 0x35, 0xf9, 0xc6, 0x4e, - 0x58, 0x64, 0xc0, 0xba, 0xa0, 0x35, 0xe7, 0xf6, 0x62, 0x20, 0x35, 0x61, - 0x4f, 0x2b, 0x20, 0x62, 0x90, 0xfb, 0x77, 0x52, 0x0e, 0xdc, 0x17, 0x02, - 0x10, 0xc3, 0xe6, 0x0f, 0xdf, 0x71, 0xf2, 0x94, 0xe8, 0x4b, 0xc6, 0x63, - 0x57, 0x60, 0x9b, 0x78, 0xdb, 0xf9, 0xac, 0x6b, 0xc2, 0x0b, 0xb7, 0x35, - 0xa7, 0xf3, 0xdd, 0x5e, 0x28, 0xdc, 0xb3, 0xea, 0xd4, 0xe2, 0xf5, 0xc4, - 0xbe, 0xa1, 0x8e, 0x53, 0x61, 0x74, 0x82, 0x2d, 0x1c, 0xb4, 0x91, 0x28, - 0x24, 0x97, 0xb0, 0x28, 0xc8, 0x64, 0x12, 0x45, 0xb5, 0xc4, 0x70, 0x31, - 0xcc, 0x87, 0x65, 0x93, 0x4c, 0x1a, 0x05, 0x6c, 0x99, 0x9d, 0x03, 0xf5, - 0x3b, 0x8f, 0x80, 0x1a, 0xe4, 0x40, 0x77, 0x82, 0xc1, 0xb7, 0x6e, 0x22, - 0x5e, 0x7a, 0x6e, 0x27, 0x57, 0xb9, 0x73, 0xd7, 0xc1, 0x4b, 0x41, 0x14, - 0x8d, 0xbb, 0x29, 0x21, 0xd9, 0xa3, 0x43, 0x4d, 0x44, 0x41, 0xe3, 0x20, - 0x0f, 0x6f, 0x71, 0x18, 0x64, 0xc5, 0xc9, 0x94, 0x94, 0x28, 0xb3, 0x4e, - 0x62, 0xe7, 0x69, 0xf9, 0xca, 0xa5, 0xbe, 0x49, 0xd0, 0xf0, 0xef, 0x97, - 0x4e, 0x6a, 0x93, 0x4b, 0xb5, 0xb1, 0x95, 0x75, 0xa1, 0xc6, 0xed, 0x58, - 0x46, 0xf0, 0x27, 0x24, 0x24, 0x9b, 0x6d, 0x48, 0xc0, 0x74, 0x6c, 0x0d, - 0x92, 0xb7, 0x50, 0xe2, 0x7a, 0xce, 0xac, 0x48, 0xcc, 0x6c, 0x3c, 0x2b, - 0x77, 0x06, 0x67, 0x41, 0x8c, 0xd6, 0xce, 0x41, 0x0c, 0x33, 0x8e, 0x8b, - 0x32, 0x74, 0x7c, 0x25 + 0xa8, 0xba, 0x71, 0xc4, 0x5d, 0xf5, 0xce, 0x37, 0xf6, 0xec, 0x56, 0xe3, + 0xe4, 0x11, 0x8a, 0x3a, 0xd1, 0x97, 0xd9, 0xd2, 0x32, 0x61, 0xd6, 0x47, + 0xae, 0x34, 0x10, 0x4c, 0x02, 0xe8, 0x08, 0x2a, 0x68, 0x58, 0x26, 0x42, + 0x0c, 0x4a, 0x7f, 0x87, 0xbd, 0xd8, 0x7c, 0xfc, 0xe0, 0xa5, 0x58, 0x14, + 0x08, 0xa9, 0x3c, 0x36, 0x00, 0x80, 0x53, 0x3a, 0x91, 0x8e, 0xe3, 0xfd, + 0x2d, 0x2b, 0x99, 0xb3, 0xeb, 0x60, 0x60, 0x13, 0xc9, 0x79, 0x95, 0xfa, + 0xe8, 0x30, 0x7e, 0x41, 0xfb, 0x79, 0xc7, 0x3d, 0x04, 0x85, 0x82, 0x8d, + 0xdb, 0xd5, 0x5b, 0x26, 0xf8, 0x7d, 0x8e, 0xbe, 0xa9, 0x24, 0x70, 0xe7, + 0x0b, 0x6f, 0x71, 0xfd, 0x83, 0xf5, 0x0b, 0x26, 0xb1, 0x2d, 0x79, 0x2f, + 0x81, 0xd3, 0x32, 0x7f, 0x86, 0x96, 0x76, 0x0d, 0xdf, 0x56, 0x5d, 0x6b, + 0x91, 0x60, 0xed, 0x32, 0xc8, 0xae, 0xe0, 0x03, 0x26, 0x78, 0x99, 0x78, + 0x56, 0x1d, 0x23, 0x5d, 0x05, 0x44, 0x20, 0x93, 0x8b, 0x56, 0x1c, 0x43, + 0x87, 0xec, 0x07, 0xe6, 0xfe, 0x86, 0xc4, 0xbb, 0x86, 0x03, 0xc7, 0x27, + 0xfa, 0x2f, 0x43, 0xcf, 0xba, 0xfd, 0x3b, 0x7c, 0xf3, 0x67, 0x16, 0xe3, + 0x30, 0x98, 0x21, 0x14, 0x8d, 0x3e, 0x9c, 0x65, 0x6a, 0x88, 0x47, 0xe3, + 0xaa, 0xc5, 0x89, 0x29, 0x0b, 0x55, 0x07, 0x6c, 0x95, 0x00, 0x2d, 0xbd, + 0xbb, 0xb3, 0x08, 0x9f, 0x42, 0x80, 0x71, 0x4f, 0x34, 0xb4, 0xe5, 0xaa, + 0xe4, 0x89, 0xf8, 0x36, 0xd7, 0x0a, 0xae, 0x80, 0x28, 0x51, 0x22, 0x8a, + 0x4e, 0xf7, 0x93, 0x0e, 0xf8, 0x54, 0x61, 0xe3, 0xdf, 0x81, 0x3c, 0x65, + 0x66, 0xb4, 0xd8, 0x6b, 0x83, 0xe3, 0xbd, 0x2f, 0xaa, 0x09, 0xb5, 0x25, + 0x72, 0x97, 0x34, 0x51, 0xd4, 0xf5, 0xd9, 0x14, 0x65, 0xdf, 0xf9, 0xd5, + 0xed, 0x5f, 0xce, 0xca }; static const uint8_t m_4096[] = { /* message to be signed, 512 bytes */ @@ -562,53 +658,53 @@ static const uint8_t m_4096[] = { /* message to be signed, 512 bytes */ }; static const uint8_t s_4096[] = { /* signed message, 512 bytes */ - 0x1f, 0xf4, 0x15, 0x31, 0x5b, 0x8c, 0x8f, 0xb4, 0xe1, 0x8c, 0x9e, 0x7b, - 0x9d, 0x48, 0x3a, 0xa6, 0x3e, 0xd5, 0x86, 0x8e, 0x0e, 0xdc, 0x2f, 0x3c, - 0xae, 0xfd, 0xda, 0xad, 0x6a, 0x6b, 0x3a, 0x73, 0xc9, 0xca, 0x69, 0x79, - 0x85, 0x59, 0xbd, 0xd1, 0xca, 0x7b, 0xf5, 0xe2, 0xc4, 0x32, 0x98, 0xcb, - 0x1e, 0x57, 0x20, 0x3c, 0xe8, 0xd7, 0x8d, 0x3a, 0x73, 0xd9, 0x44, 0xca, - 0x3b, 0x38, 0x92, 0x7c, 0xb0, 0x7c, 0x38, 0x6a, 0x2d, 0xa9, 0x3e, 0xc3, - 0x5e, 0x77, 0xf3, 0x5d, 0x43, 0x3b, 0xea, 0xff, 0x23, 0x2a, 0x13, 0x50, - 0x8c, 0x1a, 0x72, 0xe1, 0xc8, 0x55, 0x53, 0x3d, 0xbb, 0xf9, 0x7f, 0x3f, - 0xb6, 0xf7, 0xec, 0xd9, 0x64, 0x45, 0x8f, 0xc7, 0xf8, 0x9d, 0xb1, 0xcb, - 0x84, 0xa1, 0x6d, 0xbf, 0x15, 0xa2, 0x4e, 0x32, 0xcf, 0xdd, 0x98, 0x72, - 0xe2, 0xfd, 0x43, 0x1d, 0x44, 0xde, 0xed, 0xc5, 0x43, 0x76, 0xdd, 0xf9, - 0x13, 0xb9, 0x5d, 0x30, 0xd0, 0x69, 0xda, 0x2a, 0xce, 0xd0, 0x79, 0x88, - 0xcc, 0x94, 0x7f, 0x35, 0xdf, 0x30, 0xb7, 0x05, 0xa9, 0x54, 0x41, 0x0e, - 0x8a, 0x0d, 0x56, 0xb2, 0xf7, 0x1b, 0xe8, 0xb2, 0xb8, 0xd2, 0xe5, 0x4b, - 0x3d, 0x2a, 0x57, 0x27, 0x02, 0xe0, 0x69, 0xb7, 0x52, 0x8a, 0xb3, 0x39, - 0x5e, 0xdb, 0x5f, 0x52, 0x09, 0x62, 0xe8, 0xf2, 0xdb, 0x50, 0x44, 0x00, - 0x77, 0x8a, 0x49, 0x80, 0xee, 0xf7, 0xad, 0x99, 0xb4, 0x73, 0xd3, 0x01, - 0xca, 0xae, 0x09, 0x9f, 0xad, 0xb0, 0x23, 0xb1, 0x5b, 0x5b, 0xed, 0x34, - 0xb6, 0xbf, 0x71, 0x90, 0xeb, 0xa6, 0x31, 0x58, 0xe5, 0xce, 0xa5, 0x5a, - 0x7c, 0x7c, 0x6a, 0x90, 0x34, 0x3f, 0x84, 0x16, 0x6c, 0x7c, 0xae, 0x1f, - 0x00, 0xab, 0x6a, 0xe5, 0x09, 0x09, 0x83, 0xe8, 0xf0, 0x78, 0xfa, 0xe8, - 0xe9, 0x81, 0xd0, 0x7f, 0xc4, 0x20, 0x70, 0x10, 0xcf, 0xd4, 0x0f, 0x0b, - 0x0f, 0x50, 0x53, 0x15, 0x62, 0xf5, 0x68, 0xcf, 0x7f, 0x3b, 0xdd, 0x1d, - 0x88, 0x7a, 0x9b, 0xea, 0x38, 0x89, 0x70, 0x69, 0x04, 0x0b, 0x54, 0xb3, - 0xc7, 0x9c, 0x27, 0xe3, 0x51, 0xb8, 0xaf, 0x9d, 0xf8, 0xbf, 0xdd, 0x8d, - 0x9f, 0xe2, 0x33, 0xd5, 0x32, 0x44, 0xd1, 0xae, 0xc3, 0x1e, 0x0f, 0xab, - 0xcd, 0x41, 0x9a, 0x5f, 0x48, 0x51, 0xe9, 0x4e, 0x46, 0x89, 0xee, 0x53, - 0xa4, 0x48, 0x36, 0xff, 0xfd, 0xfa, 0xd1, 0xd6, 0xa3, 0x5d, 0xc4, 0xb9, - 0xbd, 0x87, 0x83, 0xcb, 0x6a, 0x00, 0x6d, 0x3c, 0x07, 0x3e, 0xd3, 0xf5, - 0x87, 0xb2, 0xa1, 0x85, 0x13, 0x80, 0x59, 0xac, 0x58, 0x8e, 0xcf, 0xf3, - 0x01, 0x42, 0x09, 0x6b, 0xed, 0x54, 0xbb, 0x82, 0xe6, 0xbb, 0xd9, 0xd2, - 0xfa, 0x02, 0x90, 0x0f, 0x68, 0xff, 0xa8, 0x26, 0x14, 0x02, 0xc3, 0xf3, - 0x39, 0xc4, 0xde, 0x7e, 0x66, 0x23, 0xfe, 0x2e, 0x9d, 0x13, 0xdb, 0xc8, - 0x91, 0x4b, 0x54, 0x7b, 0x2b, 0x78, 0x8b, 0x2b, 0x4e, 0xef, 0x3d, 0x47, - 0x8c, 0xd7, 0x60, 0x9f, 0x45, 0x26, 0xe6, 0x4e, 0x46, 0x9d, 0x35, 0x52, - 0x81, 0x8f, 0xc6, 0xd7, 0x5a, 0x4e, 0x90, 0xc5, 0x1a, 0x69, 0x52, 0x40, - 0x4b, 0x79, 0xef, 0xe7, 0x68, 0x26, 0xe2, 0xbb, 0x52, 0xa5, 0x78, 0xec, - 0xe4, 0xfb, 0x32, 0xcb, 0x81, 0xad, 0xc0, 0x7b, 0xe4, 0x14, 0x12, 0x80, - 0xa8, 0xb8, 0xea, 0xb3, 0xbb, 0x28, 0x74, 0x39, 0x89, 0xfa, 0x38, 0x3d, - 0xa5, 0x8d, 0xfd, 0xb1, 0x3f, 0x20, 0xc1, 0x33, 0x33, 0xa9, 0xcf, 0x1c, - 0xa1, 0xe6, 0x3a, 0x1e, 0x95, 0x46, 0x37, 0xbc, 0xdd, 0x94, 0x34, 0x53, - 0x33, 0xef, 0x46, 0x72, 0xde, 0xc2, 0x87, 0xac, 0xe1, 0xfa, 0xb0, 0x67, - 0xb6, 0xbe, 0x5c, 0x45, 0x78, 0xee, 0xa9, 0xa2 + 0xad, 0x46, 0xb3, 0x86, 0xb3, 0x3d, 0x13, 0xb7, 0x56, 0x0c, 0xbf, 0xd8, + 0xfe, 0xf4, 0xf2, 0x0d, 0x2d, 0x5a, 0x28, 0xad, 0xb5, 0x43, 0x7b, 0x88, + 0x5f, 0x01, 0xa4, 0x01, 0xd6, 0x28, 0x3b, 0x10, 0x0e, 0x22, 0x89, 0x11, + 0xc4, 0x3e, 0xcf, 0xbb, 0xaf, 0xd6, 0x82, 0xd9, 0x51, 0xb1, 0x93, 0xd6, + 0xc8, 0x7b, 0x89, 0xd4, 0x7a, 0xd1, 0xd0, 0x08, 0x39, 0x6b, 0x13, 0xb5, + 0x55, 0x75, 0x61, 0xf3, 0xce, 0x47, 0x77, 0x01, 0x29, 0xee, 0x07, 0x5e, + 0x4d, 0xdf, 0x83, 0x80, 0x18, 0x6d, 0xb8, 0x57, 0x14, 0x45, 0x81, 0x27, + 0x1e, 0xe3, 0x2f, 0xdf, 0x0a, 0xba, 0x3b, 0x0f, 0x12, 0x07, 0xff, 0x7f, + 0x35, 0x44, 0x75, 0xe3, 0xa8, 0x39, 0x25, 0x88, 0x3c, 0x32, 0x9e, 0x8a, + 0xd6, 0xfa, 0x3f, 0x89, 0xa4, 0x6d, 0x8a, 0x9d, 0x3d, 0x75, 0x2c, 0x6f, + 0x2a, 0x85, 0xd8, 0x96, 0x47, 0x4b, 0xde, 0x2a, 0x6b, 0x5e, 0xe1, 0x88, + 0xcd, 0x37, 0xfb, 0x17, 0xe2, 0x84, 0x81, 0xe7, 0xa8, 0x7c, 0x47, 0x8e, + 0x69, 0x69, 0x91, 0x37, 0x71, 0x97, 0x3f, 0xd1, 0x1a, 0x3e, 0x34, 0x84, + 0x52, 0xe0, 0x08, 0x2c, 0x4c, 0xdc, 0x02, 0x11, 0x08, 0x30, 0xc9, 0xf5, + 0x85, 0xc6, 0x6b, 0xba, 0x59, 0xc1, 0xf2, 0xc6, 0x7f, 0x8c, 0x4a, 0x57, + 0xe5, 0x29, 0xa5, 0x0d, 0x60, 0x1a, 0x0e, 0xda, 0xd1, 0xac, 0xcc, 0x21, + 0x20, 0x5c, 0xa0, 0x62, 0xf6, 0xc6, 0x4a, 0x92, 0xb2, 0x35, 0x9f, 0x62, + 0x51, 0x4d, 0xcb, 0xd0, 0x35, 0x4e, 0xb2, 0xa3, 0x1b, 0xec, 0xd6, 0x18, + 0xb4, 0x67, 0xb9, 0xf8, 0x5c, 0x80, 0xfc, 0x20, 0x05, 0x85, 0x8a, 0x5a, + 0x35, 0x9a, 0xde, 0x2c, 0xd9, 0xde, 0x21, 0xfe, 0x9f, 0x92, 0x9f, 0xcb, + 0xb8, 0xea, 0x56, 0xf9, 0xb7, 0x4f, 0x61, 0xf9, 0x20, 0x09, 0xfe, 0x78, + 0x4b, 0x92, 0x90, 0x7a, 0xf9, 0xd0, 0x28, 0x95, 0x34, 0xc6, 0x5a, 0x9a, + 0x2a, 0x2a, 0xb8, 0xab, 0x6a, 0x1a, 0xc1, 0xd7, 0x7d, 0x5c, 0xde, 0xd1, + 0xaf, 0xe2, 0x20, 0x8d, 0x62, 0x56, 0x2c, 0x71, 0x78, 0x5b, 0x29, 0x20, + 0x4b, 0xf0, 0xe9, 0xa4, 0xe2, 0x3f, 0xab, 0xa2, 0x77, 0xac, 0xdf, 0x6e, + 0x2e, 0xc3, 0xa1, 0x4f, 0xe0, 0x30, 0xa7, 0xb7, 0x3a, 0x05, 0x13, 0x43, + 0xc1, 0x64, 0xdd, 0xff, 0x96, 0x65, 0x4c, 0x40, 0x62, 0x4a, 0xff, 0xa3, + 0xf0, 0x81, 0x26, 0x5d, 0x5f, 0x55, 0x73, 0xdb, 0x7d, 0xf8, 0x1f, 0x9c, + 0x0a, 0x64, 0x93, 0x74, 0xf3, 0xeb, 0x3d, 0x6f, 0x68, 0xec, 0x85, 0x5a, + 0xaa, 0x91, 0xb8, 0x5a, 0x36, 0x64, 0x89, 0x66, 0xb1, 0x53, 0xc5, 0xb8, + 0x5d, 0x33, 0xf7, 0x60, 0xc2, 0x89, 0x36, 0xef, 0x0d, 0xc5, 0x58, 0x08, + 0x75, 0x40, 0xae, 0x04, 0x87, 0x74, 0x1f, 0x11, 0x65, 0x1c, 0x84, 0xb6, + 0x60, 0xa0, 0xae, 0xe2, 0x2e, 0x70, 0xbe, 0x6a, 0x5d, 0x76, 0x60, 0xaa, + 0x41, 0xc5, 0x35, 0x09, 0xd3, 0x25, 0x5e, 0xd4, 0x7f, 0x22, 0x2b, 0xd7, + 0x09, 0x38, 0xae, 0x59, 0xde, 0x55, 0x88, 0x52, 0xae, 0x30, 0xfc, 0xb8, + 0x61, 0xdd, 0x7e, 0xc7, 0x1b, 0x37, 0xd5, 0x83, 0x28, 0x2a, 0x6e, 0x38, + 0x01, 0xb5, 0xd4, 0x3f, 0x34, 0xb6, 0x37, 0xd5, 0xbf, 0x59, 0x6e, 0xb7, + 0x16, 0x07, 0x96, 0x76, 0xe7, 0x84, 0x1b, 0x24, 0x59, 0x0b, 0x0a, 0x5c, + 0x5b, 0xef, 0xae, 0xc7, 0x7d, 0x18, 0x7e, 0x7c, 0x1a, 0xd5, 0x24, 0x2e, + 0xe9, 0x7f, 0x92, 0x3f, 0x4d, 0xd2, 0x0e, 0x44, 0xd1, 0x60, 0x73, 0xef, + 0x9b, 0xb6, 0x43, 0x87, 0xdd, 0x43, 0x1c, 0xa2, 0x67, 0x3e, 0x80, 0x5f, + 0x50, 0x6d, 0x5c, 0xb6, 0x90, 0xd5, 0x14, 0xce, 0xad, 0xbc, 0x2e, 0x39, + 0x62, 0x96, 0xc3, 0x25, 0xec, 0xa4, 0xd8, 0xf2 }; typedef struct { const uint8_t *val; size_t len; } rsa_tc_bn_t; -typedef struct { size_t size; rsa_tc_bn_t n, e, d, p, q, u, m, s; } rsa_tc_t; +typedef struct { size_t size; rsa_tc_bn_t n, e, d, p, q, dP, dQ, u, m, s; } rsa_tc_t; static const rsa_tc_t rsa_tc[] = { { 1024, @@ -617,6 +713,8 @@ static const rsa_tc_t rsa_tc[] = { { d_1024, sizeof(d_1024) }, { p_1024, sizeof(p_1024) }, { q_1024, sizeof(q_1024) }, + { dP_1024, sizeof(dP_1024) }, + { dQ_1024, sizeof(dQ_1024) }, { u_1024, sizeof(u_1024) }, { m_1024, sizeof(m_1024) }, { s_1024, sizeof(s_1024) } @@ -627,6 +725,8 @@ static const rsa_tc_t rsa_tc[] = { { d_2048, sizeof(d_2048) }, { p_2048, sizeof(p_2048) }, { q_2048, sizeof(q_2048) }, + { dP_2048, sizeof(dP_2048) }, + { dQ_2048, sizeof(dQ_2048) }, { u_2048, sizeof(u_2048) }, { m_2048, sizeof(m_2048) }, { s_2048, sizeof(s_2048) } @@ -637,6 +737,8 @@ static const rsa_tc_t rsa_tc[] = { { d_4096, sizeof(d_4096) }, { p_4096, sizeof(p_4096) }, { q_4096, sizeof(q_4096) }, + { dP_4096, sizeof(dP_4096) }, + { dQ_4096, sizeof(dQ_4096) }, { u_4096, sizeof(u_4096) }, { m_4096, sizeof(m_4096) }, { s_4096, sizeof(s_4096) } diff --git a/tests/test-rsa.py b/tests/test-rsa.py index 3824276..8f3f8b5 100644 --- a/tests/test-rsa.py +++ b/tests/test-rsa.py @@ -36,7 +36,7 @@ from argparse import ArgumentParser, FileType from Crypto import __version__ as PyCryptoVersion from Crypto.PublicKey import RSA from Crypto.Hash import SHA256 -from Crypto.Util.number import long_to_bytes +from Crypto.Util.number import long_to_bytes, inverse from Crypto.Signature.PKCS1_v1_5 import EMSA_PKCS1_V1_5_ENCODE, PKCS115_SigScheme from textwrap import TextWrapper import sys, os.path @@ -101,6 +101,8 @@ printlines("/*", plaintext = plaintext, digest = h.hexdigest()) +fields = ("n", "e", "d", "p", "q", "dP", "dQ", "u", "m", "s") + for k_len in args.key_lengths: k = RSA.generate(k_len) # Cryptlib insists u < p, probably with good reason, @@ -123,14 +125,29 @@ for k_len in args.key_lengths: "*/", "", k_len = k_len, pkcs = args.pkcs_encoding) - for component in k.keydata: - print_hex("%s_%d" % (component, k_len), - long_to_bytes(getattr(k, component), blocksize = blocksize), - "key component %s" % component) + # PyCrypto doesn't precalculate dP or dQ, and for some reason it + # does u backwards (uses (1/p % q) and swaps the roles of p and q in + # the CRT calculation to compensate), so we just calculate our own. + + for name in fields: + if name in "ms": + continue + elif name == "dP": + value = k.d % (k.p - 1) + elif name == "dQ": + value = k.d % (k.q - 1) + elif name == "u": + value = inverse(k.q, k.p) + else: + value = getattr(k, name) + + print_hex("%s_%d" % (name, k_len), + long_to_bytes(value, blocksize = blocksize), + "key component %s" % name) + print_hex("m_%d" % k_len, pad_to_blocksize(m, blocksize), "message to be signed") print_hex("s_%d" % k_len, pad_to_blocksize(s, blocksize), "signed message") -fields = "nedpqums" printlines("typedef struct { const uint8_t *val; size_t len; } rsa_tc_bn_t;", "typedef struct { size_t size; rsa_tc_bn_t %(fields)s; } rsa_tc_t;", "", |