diff options
Diffstat (limited to 'sw')
| -rwxr-xr-x | sw/Makefile | 5 | ||||
| -rw-r--r-- | sw/cryptech.h | 31 | ||||
| -rw-r--r-- | sw/modexps6_tester.c | 650 | ||||
| -rw-r--r-- | sw/test-modexp-for-pavel.h | 140 | ||||
| -rw-r--r-- | sw/test-rsa.h | 746 |
5 files changed, 1571 insertions, 1 deletions
diff --git a/sw/Makefile b/sw/Makefile index 928466e..63c9197 100755 --- a/sw/Makefile +++ b/sw/Makefile @@ -3,7 +3,7 @@ AR = ar CFLAGS = -Wall -fPIC LIB = libcryptech.a -BIN = hash hash_tester trng_extractor trng_tester aes_tester modexp_tester devmem3 +BIN = hash hash_tester trng_extractor trng_tester aes_tester modexp_tester modexps6_tester devmem3 INC = cryptech.h PREFIX = /usr/local @@ -31,6 +31,9 @@ aes_tester: aes_tester.o $(LIB) modexp_tester: modexp_tester.o $(LIB) $(CC) -o $@ $^ +modexps6_tester: modexps6_tester.o $(LIB) + $(CC) -o $@ $^ + hash: hash.o $(LIB) $(CC) -o $@ $^ diff --git a/sw/cryptech.h b/sw/cryptech.h index 5b01bc9..aeafc1b 100644 --- a/sw/cryptech.h +++ b/sw/cryptech.h @@ -421,6 +421,37 @@ in order to map it into a 16-bit address space. #define MODEXP_NAME1 "xp " #define MODEXP_VERSION "0.51" +// Experimental ModexpS6 core. +// XXX AT THE SAME CORE PREFIX - YOU CAN'T HAVE BOTH AT THE SAME TIME +#define MODEXPS6_ADDR_BASE SEGMENT_OFFSET_MATH + (0x00 * CORE_SIZE) +#define MODEXPS6_ADDR_NAME0 MODEXPS6_ADDR_BASE + ADDR_NAME0 +#define MODEXPS6_ADDR_NAME1 MODEXPS6_ADDR_BASE + ADDR_NAME1 +#define MODEXPS6_ADDR_VERSION MODEXPS6_ADDR_BASE + ADDR_VERSION +#define MODEXPS6_ADDR_CTRL MODEXPS6_ADDR_BASE + ADDR_CTRL +#define MODEXPS6_CTRL_INIT_BIT 1 +#define MODEXPS6_CTRL_NEXT_BIT 2 +#define MODEXPS6_ADDR_STATUS MODEXPS6_ADDR_BASE + ADDR_STATUS + +/* 4096-bit operands are stored as 128 words of 32 bits */ +#define MODEXPS6_OPERAND_SIZE 4096/32 + +#define MODEXPS6_ADDR_REGISTERS MODEXPS6_ADDR_BASE + 0*MODEXPS6_OPERAND_SIZE +#define MODEXPS6_ADDR_OPERANDS MODEXPS6_ADDR_BASE + 4*MODEXPS6_OPERAND_SIZE + +#define MODEXPS6_ADDR_MODE MODEXPS6_ADDR_REGISTERS + 0x10 +#define MODEXPS6_ADDR_MODULUS_WIDTH MODEXPS6_ADDR_REGISTERS + 0x11 +#define MODEXPS6_ADDR_EXPONENT_WIDTH MODEXPS6_ADDR_REGISTERS + 0x12 + +/* addresses of block memories for operands */ +#define MODEXPS6_ADDR_MODULUS MODEXPS6_ADDR_OPERANDS + 0*MODEXPS6_OPERAND_SIZE +#define MODEXPS6_ADDR_MESSAGE MODEXPS6_ADDR_OPERANDS + 1*MODEXPS6_OPERAND_SIZE +#define MODEXPS6_ADDR_EXPONENT MODEXPS6_ADDR_OPERANDS + 2*MODEXPS6_OPERAND_SIZE +#define MODEXPS6_ADDR_RESULT MODEXPS6_ADDR_OPERANDS + 3*MODEXPS6_OPERAND_SIZE + +#define MODEXPS6_NAME0 "mode" +#define MODEXPS6_NAME1 "xps6" +#define MODEXPS6_VERSION "0.10" + //------------------------------------------------------------------ // Test case public functions diff --git a/sw/modexps6_tester.c b/sw/modexps6_tester.c new file mode 100644 index 0000000..a9e3b74 --- /dev/null +++ b/sw/modexps6_tester.c @@ -0,0 +1,650 @@ +#include <string.h> +#include <stdio.h> +#include <stdlib.h> +#include <errno.h> +#include <sys/mman.h> +#include <fcntl.h> +#include <unistd.h> +#include <time.h> +#include <sys/time.h> +#include <sys/ioctl.h> +#include <arpa/inet.h> +#include <ctype.h> +#include <signal.h> +#include <assert.h> + +#include "cryptech.h" +#include "test-rsa.h" +#include "test-modexp-for-pavel.h" + +int quiet = 0; +int repeat = 0; + +int tc_width(off_t offset, uint32_t length) +{ + length = htonl(length); // ! + + uint8_t width[4]; + memcpy(width, &length, 4); + + return tc_write(offset, width, sizeof(width)); +} + +/* + * Utility to madly swap 32-bit words within an operand so that the + * first word becomes the last word and so forth. + */ + +static void two_card_monty(void *output, const void * const input, const size_t byte_count) +{ + const size_t word_count = byte_count / 4; + const uint32_t * const i32 = input; + uint32_t * const o32 = output; + int i; + + assert(byte_count % 4 == 0); + + for (i = 0; i < word_count; i++) + o32[i] = i32[word_count - i - 1]; +} + +/* + * Clone operand into a reversed buffer. Necessary lack of curly + * braces makes this unsuitable for use in library code, but it + * simplifies test setup here. + */ + +#define clone_reversed(_clone, _orig) \ + uint8_t _clone[sizeof(_orig)]; \ + two_card_monty(_clone, _orig, sizeof(_orig)) + + +/* TC0: Read name and version from ModExpS6 core. */ +int TC0(void) +{ + uint8_t name0[4] = { 'm', 'o', 'd', 'e'}; + uint8_t name1[4] = { 'x', 'p', 's', '6'}; + uint8_t version[4] = { '0', '.', '1', '0'}; + + if (!quiet) + printf("TC0: Reading name and version words from ModExpS6 core.\n"); + + return + tc_expected(MODEXPS6_ADDR_NAME0, name0, sizeof(name0)) || + tc_expected(MODEXPS6_ADDR_NAME1, name1, sizeof(name1)) || + tc_expected(MODEXPS6_ADDR_VERSION, version, sizeof(version)); +} + +/* TC1: Fast single 1024-bit message. */ +int TC1(void) +{ + int ret; + + if (!quiet) + printf("TC1: Sign 1024-bit message (fast & unsafe public mode).\n"); + + /* Change order of 32-bit words for all the operands (first word becomes last word, and so on...) */ + clone_reversed(modulus, n_1024); + clone_reversed(message, m_1024); + clone_reversed(exponent, d_1024); + clone_reversed(result, s_1024); + + /* Set fast mode */ + /*uint8_t mode_slow_secure[] = {0, 0, 0, 0};*/ + uint8_t mode_fast_unsafe[] = {0, 0, 0, 1}; + tc_write(MODEXPS6_ADDR_MODE, mode_fast_unsafe, sizeof(mode_fast_unsafe)); + + /* Set new modulus size */ + tc_width(MODEXPS6_ADDR_MODULUS_WIDTH, sizeof(modulus) * 8); // number of bits + + /* Write new modulus */ + tc_write(MODEXPS6_ADDR_MODULUS, modulus, sizeof(modulus)); + + /* Pre-calculate speed-up coefficient */ + tc_init(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_ready(MODEXPS6_ADDR_STATUS); + + /* Write new message */ + tc_write(MODEXPS6_ADDR_MESSAGE, message, sizeof(message)); + + /* Set new exponent length */ + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, sizeof(exponent) * 8); // number of bits + + /* Write new exponent */ + tc_write(MODEXPS6_ADDR_EXPONENT, exponent, sizeof(exponent)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result, sizeof(result)); + + return ret; +} + +/* TC2: Slow single 1024-bit message. */ +int TC2(void) +{ + int ret; + + if (!quiet) + printf("TC2: Sign 1024-bit message (slow & secure private mode).\n"); + + /* Change order of 32-bit words for all the operands (first word becomes last word, and so on...) */ + clone_reversed(modulus, n_1024); + clone_reversed(message, m_1024); + clone_reversed(exponent, d_1024); + clone_reversed(result, s_1024); + + /* Set slow mode */ + uint8_t mode_slow_secure[] = {0, 0, 0, 0}; + /*uint8_t mode_fast_unsafe[] = {0, 0, 0, 1};*/ + tc_write(MODEXPS6_ADDR_MODE, mode_slow_secure, sizeof(mode_slow_secure)); + + /* Set new modulus size */ + tc_width(MODEXPS6_ADDR_MODULUS_WIDTH, sizeof(modulus) * 8); // number of bits + + /* Write new modulus */ + tc_write(MODEXPS6_ADDR_MODULUS, modulus, sizeof(modulus)); + + /* Pre-calculate speed-up coefficient */ + tc_init(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_ready(MODEXPS6_ADDR_STATUS); + + /* Write new message */ + tc_write(MODEXPS6_ADDR_MESSAGE, message, sizeof(message)); + + /* Set new exponent length */ + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, sizeof(exponent) * 8); // number of bits + + /* Write new exponent */ + tc_write(MODEXPS6_ADDR_EXPONENT, exponent, sizeof(exponent)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result, sizeof(result)); + + return ret; +} + +/* TC3: Fast single 2048-bit message. */ +int TC3(void) +{ + int ret; + + if (!quiet) + printf("TC3: Sign 2048-bit message (fast & unsafe public mode).\n"); + + /* Change order of 32-bit words for all the operands (first word becomes last word, and so on...) */ + clone_reversed(modulus, n_2048); + clone_reversed(message, m_2048); + clone_reversed(exponent, d_2048); + clone_reversed(result, s_2048); + + /* Set fast mode */ + /*uint8_t mode_slow_secure[] = {0, 0, 0, 0};*/ + uint8_t mode_fast_unsafe[] = {0, 0, 0, 1}; + tc_write(MODEXPS6_ADDR_MODE, mode_fast_unsafe, sizeof(mode_fast_unsafe)); + + /* Set new modulus size */ + tc_width(MODEXPS6_ADDR_MODULUS_WIDTH, sizeof(modulus) * 8); // number of bits + + /* Write new modulus */ + tc_write(MODEXPS6_ADDR_MODULUS, modulus, sizeof(modulus)); + + /* Pre-calculate speed-up coefficient */ + tc_init(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_ready(MODEXPS6_ADDR_STATUS); + + /* Write new message */ + tc_write(MODEXPS6_ADDR_MESSAGE, message, sizeof(message)); + + /* Set new exponent length */ + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, sizeof(exponent) * 8); // number of bits + + /* Write new exponent */ + tc_write(MODEXPS6_ADDR_EXPONENT, exponent, sizeof(exponent)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result, sizeof(result)); + + return ret; +} + +/* TC4: Slow single 2048-bit message. */ +int TC4(void) +{ + int ret; + + if (!quiet) + printf("TC4: Sign 2048-bit message (slow & secure private mode).\n"); + + /* Change order of 32-bit words for all the operands (first word becomes last word, and so on...) */ + clone_reversed(modulus, n_2048); + clone_reversed(message, m_2048); + clone_reversed(exponent, d_2048); + clone_reversed(result, s_2048); + + /* Set slow mode */ + uint8_t mode_slow_secure[] = {0, 0, 0, 0}; + /*uint8_t mode_fast_unsafe[] = {0, 0, 0, 1};*/ + tc_write(MODEXPS6_ADDR_MODE, mode_slow_secure, sizeof(mode_slow_secure)); + + /* Set new modulus size */ + tc_width(MODEXPS6_ADDR_MODULUS_WIDTH, sizeof(modulus) * 8); // number of bits + + /* Write new modulus */ + tc_write(MODEXPS6_ADDR_MODULUS, modulus, sizeof(modulus)); + + /* Pre-calculate speed-up coefficient */ + tc_init(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_ready(MODEXPS6_ADDR_STATUS); + + /* Write new message */ + tc_write(MODEXPS6_ADDR_MESSAGE, message, sizeof(message)); + + /* Set new exponent length */ + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, sizeof(exponent) * 8); // number of bits + + /* Write new exponent */ + tc_write(MODEXPS6_ADDR_EXPONENT, exponent, sizeof(exponent)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result, sizeof(result)); + + return ret; +} + +/* TC5: Fast single 4096-bit message. */ +int TC5(void) +{ + int ret; + + if (!quiet) + printf("TC5: Sign 4096-bit message (fast & unsafe public mode).\n"); + + /* Change order of 32-bit words for all the operands (first word becomes last word, and so on...) */ + clone_reversed(modulus, n_4096); + clone_reversed(message, m_4096); + clone_reversed(exponent, d_4096); + clone_reversed(result, s_4096); + + /* Set fast mode */ + /*uint8_t mode_slow_secure[] = {0, 0, 0, 0};*/ + uint8_t mode_fast_unsafe[] = {0, 0, 0, 1}; + tc_write(MODEXPS6_ADDR_MODE, mode_fast_unsafe, sizeof(mode_fast_unsafe)); + + /* Set new modulus size */ + tc_width(MODEXPS6_ADDR_MODULUS_WIDTH, sizeof(modulus) * 8); // number of bits + + /* Write new modulus */ + tc_write(MODEXPS6_ADDR_MODULUS, modulus, sizeof(modulus)); + + /* Pre-calculate speed-up coefficient */ + tc_init(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_ready(MODEXPS6_ADDR_STATUS); + + /* Write new message */ + tc_write(MODEXPS6_ADDR_MESSAGE, message, sizeof(message)); + + /* Set new exponent length */ + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, sizeof(exponent) * 8); // number of bits + + /* Write new exponent */ + tc_write(MODEXPS6_ADDR_EXPONENT, exponent, sizeof(exponent)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result, sizeof(result)); + + return ret; +} + +/* TC6: Slow single 4096-bit message. */ +int TC6(void) +{ + int ret; + + if (!quiet) + printf("TC6: Sign 4096-bit message (slow & secure private mode).\n"); + + /* Change order of 32-bit words for all the operands (first word becomes last word, and so on...) */ + clone_reversed(modulus, n_4096); + clone_reversed(message, m_4096); + clone_reversed(exponent, d_4096); + clone_reversed(result, s_4096); + + /* Set slow mode */ + uint8_t mode_slow_secure[] = {0, 0, 0, 0}; + /*uint8_t mode_fast_unsafe[] = {0, 0, 0, 1};*/ + tc_write(MODEXPS6_ADDR_MODE, mode_slow_secure, sizeof(mode_slow_secure)); + + /* Set new modulus size */ + tc_width(MODEXPS6_ADDR_MODULUS_WIDTH, sizeof(modulus) * 8); // number of bits + + /* Write new modulus */ + tc_write(MODEXPS6_ADDR_MODULUS, modulus, sizeof(modulus)); + + /* Pre-calculate speed-up coefficient */ + tc_init(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_ready(MODEXPS6_ADDR_STATUS); + + /* Write new message */ + tc_write(MODEXPS6_ADDR_MESSAGE, message, sizeof(message)); + + /* Set new exponent length */ + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, sizeof(exponent) * 8); // number of bits + + /* Write new exponent */ + tc_write(MODEXPS6_ADDR_EXPONENT, exponent, sizeof(exponent)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result, sizeof(result)); + + return ret; +} + +/* TC7: Signing of multiple 1024-bit messages with same key. */ +int TC7(void) +{ + int ret; + + if (!quiet) + printf("TC7: Sign several 1024-bit messages (without pre-calculation every time).\n"); + + /* Change order of 32-bit words for all the operands (first word becomes last word, and so on...) */ + clone_reversed(modulus, n_1024); + clone_reversed(exponent, d_1024); + clone_reversed(message_0, m_1024_0); + clone_reversed(message_1, m_1024_1); + clone_reversed(message_2, m_1024_2); + clone_reversed(message_3, m_1024_3); + clone_reversed(result_0, s_1024_0); + clone_reversed(result_1, s_1024_1); + clone_reversed(result_2, s_1024_2); + clone_reversed(result_3, s_1024_3); + + /* Set fast mode */ + /*uint8_t mode_slow_secure[] = {0, 0, 0, 0};*/ + uint8_t mode_fast_unsafe[] = {0, 0, 0, 1}; + tc_write(MODEXPS6_ADDR_MODE, mode_fast_unsafe, sizeof(mode_fast_unsafe)); + + /* Set new modulus size */ + tc_width(MODEXPS6_ADDR_MODULUS_WIDTH, sizeof(modulus) * 8); // number of bits + + /* Write new modulus */ + tc_write(MODEXPS6_ADDR_MODULUS, modulus, sizeof(modulus)); + + /* Pre-calculate speed-up coefficient */ + tc_init(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_ready(MODEXPS6_ADDR_STATUS); + + /* Set new exponent length */ + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, sizeof(exponent) * 8); // number of bits + + /* Write new exponent */ + tc_write(MODEXPS6_ADDR_EXPONENT, exponent, sizeof(exponent)); + + { + /* Write new message #0 */ + tc_write(MODEXPS6_ADDR_MESSAGE, message_0, sizeof(message_0)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result_0, sizeof(result_0)); + if (ret) return 1; + } + { + /* Write new message #1 */ + tc_write(MODEXPS6_ADDR_MESSAGE, message_1, sizeof(message_1)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result_1, sizeof(result_1)); + if (ret) return 1; + } + { + /* Write new message #2 */ + tc_write(MODEXPS6_ADDR_MESSAGE, message_2, sizeof(message_2)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result_2, sizeof(result_2)); + if (ret) return 1; + } + { + /* Write new message #3 */ + tc_write(MODEXPS6_ADDR_MESSAGE, message_3, sizeof(message_3)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result_3, sizeof(result_3)); + if (ret) return 1; + } + + return 0; +} + +/* TC8: Fast 4096-bit message verification. */ +int TC8(void) +{ + int ret; + + if (!quiet) + printf("TC8: Verify 4096-bit message (fast mode using public exponent).\n"); + + /* Change order of 32-bit words for all the operands (first word becomes last word, and so on...) */ + clone_reversed(modulus, n_4096); + clone_reversed(message, s_4096); + clone_reversed(exponent, e_4096); + clone_reversed(result, m_4096); + + /* Set fast mode */ + /*uint8_t mode_slow_secure[] = {0, 0, 0, 0};*/ + uint8_t mode_fast_unsafe[] = {0, 0, 0, 1}; + tc_write(MODEXPS6_ADDR_MODE, mode_fast_unsafe, sizeof(mode_fast_unsafe)); + + /* Set new modulus size */ + tc_width(MODEXPS6_ADDR_MODULUS_WIDTH, sizeof(modulus) * 8); // number of bits + + /* Write new modulus */ + tc_write(MODEXPS6_ADDR_MODULUS, modulus, sizeof(modulus)); + + /* Pre-calculate speed-up coefficient */ + tc_init(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_ready(MODEXPS6_ADDR_STATUS); + + /* Write new message */ + tc_write(MODEXPS6_ADDR_MESSAGE, message, sizeof(message)); + + /* Set new exponent length */ +#if 1 + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, 18); // number of bits +#else + tc_width(MODEXPS6_ADDR_EXPONENT_WIDTH, 24); // number of bits +#endif + + /* Write new exponent */ + tc_write(MODEXPS6_ADDR_EXPONENT, exponent, sizeof(exponent)); + + /* Start calculation */ + tc_next(MODEXPS6_ADDR_CTRL); + + /* Wait while core is calculating */ + tc_wait_valid(MODEXPS6_ADDR_STATUS); + + /* Compare actual result with expected value */ + ret = tc_expected(MODEXPS6_ADDR_RESULT, result, sizeof(result)); + + return ret; +} + + +/* signal handler for ctrl-c to end repeat testing */ +unsigned long iter = 0; +struct timeval tv_start, tv_end; +void sighandler(int unused) +{ + double tv_diff; + + gettimeofday(&tv_end, NULL); + tv_diff = (double)(tv_end.tv_sec - tv_start.tv_sec) + + (double)(tv_end.tv_usec - tv_start.tv_usec)/1000000; + printf("\n%lu iterations in %.3f seconds (%.3f iterations/sec)\n", + iter, tv_diff, (double)iter/tv_diff); + exit(EXIT_SUCCESS); +} + +int main(int argc, char *argv[]) +{ + typedef int (*tcfp)(void); + tcfp all_tests[] = { TC0, TC1, TC2, TC3, TC4, TC5, TC6, TC7, TC8 }; + + char *usage = "Usage: %s [-h] [-d] [-q] [-r] tc...\n"; + int i, j, opt; + + while ((opt = getopt(argc, argv, "h?dqr")) != -1) { + switch (opt) { + case 'h': + case '?': + printf(usage, argv[0]); + return EXIT_SUCCESS; + case 'd': + tc_set_debug(1); + break; + case 'q': + quiet = 1; + break; + case 'r': + repeat = 1; + break; + default: + fprintf(stderr, usage, argv[0]); + return EXIT_FAILURE; + } + } + + /* repeat one test until interrupted */ + if (repeat) { + tcfp tc; + if (optind != argc - 1) { + fprintf(stderr, "only one test case can be repeated\n"); + return EXIT_FAILURE; + } + j = atoi(argv[optind]); + if (j < 0 || j >= sizeof(all_tests)/sizeof(all_tests[0])) { + fprintf(stderr, "invalid test number %s\n", argv[optind]); + return EXIT_FAILURE; + } + tc = (all_tests[j]); + srand(time(NULL)); + signal(SIGINT, sighandler); + gettimeofday(&tv_start, NULL); + while (1) { + ++iter; + if ((iter & 0xffff) == 0) { + printf("."); + fflush(stdout); + } + if (tc() != 0) + sighandler(0); + } + return EXIT_SUCCESS; /*NOTREACHED*/ + } + + /* no args == run all tests */ + if (optind >= argc) { + for (j = 0; j < sizeof(all_tests)/sizeof(all_tests[0]); ++j) + if (all_tests[j]() != 0) + return EXIT_FAILURE; + return EXIT_SUCCESS; + } + + /* run one or more tests (by number) or groups of tests (by name) */ + for (i = optind; i < argc; ++i) { + if (strcmp(argv[i], "all") == 0) { + for (j = 0; j < sizeof(all_tests)/sizeof(all_tests[0]); ++j) + if (all_tests[j]() != 0) + return EXIT_FAILURE; + } + else if (isdigit(argv[i][0]) && + (((j = atoi(argv[i])) >= 0) && + (j < sizeof(all_tests)/sizeof(all_tests[0])))) { + if (all_tests[j]() != 0) + return EXIT_FAILURE; + } + else { + fprintf(stderr, "unknown test case %s\n", argv[i]); + return EXIT_FAILURE; + } + } + + return EXIT_SUCCESS; +} diff --git a/sw/test-modexp-for-pavel.h b/sw/test-modexp-for-pavel.h new file mode 100644 index 0000000..79889ee --- /dev/null +++ b/sw/test-modexp-for-pavel.h @@ -0,0 +1,140 @@ +/* + * Test vectors. First should be same as in test-rsa.h, for check. + */ + +/* + * Message #0 + * Plaintext: "You can hack anything you want with TECO and DDT." + * SHA-256: 8e36fc9aa31724c32416263c0366a175fabbb92b741ca6496107074d0343b597 + */ + +static const uint8_t m_1024_0[] = { /* message to be signed, 128 bytes */ + 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, + 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, + 0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c, + 0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49, + 0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97 +}; + +static const uint8_t s_1024_0[] = { /* signed message, 128 bytes */ + 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 +}; + +/* + * Message #1 + * Plaintext: "$U in and begin to hack." + * SHA-256: 6592ba987edef196b98beed2f618198b109ad93d9a32939e2134863f4f7aff4a + */ + +static const uint8_t m_1024_1[] = { /* message to be signed, 128 bytes */ + 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, + 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, + 0x65, 0x92, 0xba, 0x98, 0x7e, 0xde, 0xf1, 0x96, 0xb9, 0x8b, 0xee, 0xd2, + 0xf6, 0x18, 0x19, 0x8b, 0x10, 0x9a, 0xd9, 0x3d, 0x9a, 0x32, 0x93, 0x9e, + 0x21, 0x34, 0x86, 0x3f, 0x4f, 0x7a, 0xff, 0x4a +}; + +static const uint8_t s_1024_1[] = { /* signed message, 128 bytes */ + 0x30, 0x23, 0x3d, 0x81, 0xa0, 0xa5, 0xc3, 0xcc, 0x48, 0xb2, 0x69, 0xe6, + 0xe8, 0xb1, 0xc7, 0x34, 0xed, 0x56, 0xc6, 0x3b, 0xfb, 0xfe, 0x2f, 0xba, + 0x1d, 0xa5, 0x3f, 0x18, 0xa8, 0xb9, 0xd6, 0x80, 0x2f, 0x30, 0x39, 0x54, + 0x00, 0xed, 0x1b, 0x54, 0x4e, 0x28, 0x90, 0xc6, 0xe6, 0x58, 0x43, 0x1b, + 0x84, 0x94, 0x59, 0x46, 0xc2, 0xb3, 0x22, 0x38, 0x49, 0xf9, 0x2a, 0x7f, + 0xfc, 0xef, 0xe7, 0xb4, 0x6e, 0x77, 0xf9, 0x9c, 0x41, 0x79, 0x65, 0x72, + 0x18, 0xa4, 0xb6, 0x98, 0x28, 0x98, 0xba, 0xfe, 0xdc, 0x71, 0x8f, 0x58, + 0x2f, 0x6d, 0x25, 0x67, 0x35, 0x23, 0x6a, 0x98, 0xbb, 0xfa, 0x3b, 0x13, + 0x3b, 0x6f, 0x4b, 0x2a, 0x1e, 0x59, 0x7b, 0x0b, 0x62, 0x45, 0xe2, 0x4e, + 0xc1, 0x9d, 0x66, 0x38, 0x71, 0xca, 0xcf, 0x91, 0x66, 0x7d, 0x81, 0xf4, + 0x78, 0x68, 0x41, 0x08, 0xd1, 0xad, 0xda, 0xf0 +}; + +/* + * Message #2 + * Plaintext: "Twiddle bits in a core dump and write 'em back." + * SHA-256: 0633b9805544473dd4169773ff708f3868eb7f0ecbda0349012ea6ff7798b7b4 + */ + +static const uint8_t m_1024_2[] = { /* message to be signed, 128 bytes */ + 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, + 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, + 0x06, 0x33, 0xb9, 0x80, 0x55, 0x44, 0x47, 0x3d, 0xd4, 0x16, 0x97, 0x73, + 0xff, 0x70, 0x8f, 0x38, 0x68, 0xeb, 0x7f, 0x0e, 0xcb, 0xda, 0x03, 0x49, + 0x01, 0x2e, 0xa6, 0xff, 0x77, 0x98, 0xb7, 0xb4 +}; + +static const uint8_t s_1024_2[] = { /* signed message, 128 bytes */ + 0x6b, 0x29, 0x54, 0xa3, 0x05, 0x5a, 0x92, 0xa5, 0x65, 0x00, 0x72, 0x3a, + 0xdf, 0x85, 0x11, 0x47, 0x96, 0x7f, 0x67, 0x38, 0xf0, 0xae, 0x06, 0xe4, + 0x7e, 0x99, 0xc3, 0x17, 0x85, 0x7d, 0x03, 0xbe, 0xf8, 0xae, 0x1e, 0x89, + 0x99, 0x9e, 0x03, 0xb3, 0xe0, 0xfb, 0x15, 0xce, 0xed, 0x11, 0x21, 0xc4, + 0x20, 0x0d, 0x35, 0x84, 0xcc, 0xba, 0x53, 0xe0, 0x88, 0x5b, 0xa6, 0x25, + 0xdb, 0xa5, 0x6e, 0x4f, 0x06, 0xce, 0x81, 0xf7, 0x15, 0x15, 0x54, 0x15, + 0x11, 0x0d, 0x67, 0x73, 0x08, 0xd0, 0x15, 0x22, 0x8d, 0xef, 0x46, 0xda, + 0x61, 0x29, 0xc6, 0xe7, 0x37, 0x63, 0x2d, 0x0a, 0x82, 0x79, 0x17, 0xed, + 0xf4, 0x07, 0x79, 0xa2, 0x56, 0xb2, 0xbb, 0xf5, 0x4a, 0x40, 0x34, 0xec, + 0x9a, 0x92, 0x8f, 0xd4, 0x66, 0xc1, 0x83, 0xe0, 0x45, 0xa8, 0xe6, 0x4e, + 0x52, 0xb1, 0x11, 0xe9, 0x17, 0xc0, 0xcb, 0x5c +}; + +/* + * Message #3 + * Plaintext: "(But be careful typing <RET>)" + * SHA-256: 524bb716e35f7ca6e54fa59c75e395d4e6a9a567e2c928aa34c7ef7b09ed7b45 + */ + +static const uint8_t m_1024_3[] = { /* message to be signed, 128 bytes */ + 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, + 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, + 0x52, 0x4b, 0xb7, 0x16, 0xe3, 0x5f, 0x7c, 0xa6, 0xe5, 0x4f, 0xa5, 0x9c, + 0x75, 0xe3, 0x95, 0xd4, 0xe6, 0xa9, 0xa5, 0x67, 0xe2, 0xc9, 0x28, 0xaa, + 0x34, 0xc7, 0xef, 0x7b, 0x09, 0xed, 0x7b, 0x45 +}; + +static const uint8_t s_1024_3[] = { /* signed message, 128 bytes */ + 0x56, 0x20, 0xa9, 0xd5, 0x0e, 0x61, 0xa4, 0xb6, 0xfc, 0x8a, 0xf6, 0x27, + 0x40, 0x3c, 0x8c, 0x7a, 0x3f, 0x27, 0xdb, 0x1e, 0xb8, 0xf7, 0xf1, 0x35, + 0x21, 0xbc, 0xcd, 0x0d, 0xd9, 0x39, 0x98, 0x40, 0x1c, 0x48, 0x19, 0x85, + 0x57, 0xed, 0xa2, 0x59, 0x9d, 0xef, 0x13, 0x4c, 0xe7, 0x9e, 0x8b, 0x15, + 0x66, 0xce, 0xbf, 0x57, 0xcf, 0x43, 0x00, 0xf4, 0xb3, 0xf4, 0x6b, 0xcd, + 0x77, 0x34, 0xdd, 0xbd, 0x13, 0xdf, 0xe7, 0xf5, 0xb1, 0xe7, 0xa0, 0x2c, + 0xfc, 0x03, 0x00, 0x33, 0x78, 0x51, 0x28, 0x0c, 0x7c, 0x8a, 0x8b, 0xaa, + 0x8d, 0xb2, 0x72, 0x43, 0x54, 0x19, 0xf2, 0xf2, 0x53, 0xba, 0x16, 0x64, + 0x65, 0x69, 0xbd, 0xc4, 0x26, 0x08, 0xa2, 0x12, 0x4d, 0xbd, 0x6f, 0x9d, + 0x2f, 0x9d, 0x34, 0x41, 0xa8, 0x5f, 0x92, 0xa1, 0xc8, 0xa4, 0x27, 0xa8, + 0x34, 0x26, 0x3d, 0x4e, 0x6d, 0xc4, 0x0e, 0x66 +}; + diff --git a/sw/test-rsa.h b/sw/test-rsa.h new file mode 100644 index 0000000..400ffd0 --- /dev/null +++ b/sw/test-rsa.h @@ -0,0 +1,746 @@ +/* + * RSA signature test data for Cryptech project, automatically generated by + * test-rsa.py using PyCrypto version 2.6.1. Do not edit. + * + * Plaintext: "You can hack anything you want with TECO and DDT." + * SHA-256: 8e36fc9aa31724c32416263c0366a175fabbb92b741ca6496107074d0343b597 + */ + +/* 1024-bit RSA private key (PKCS #8) +-----BEGIN PRIVATE KEY----- +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 */ + 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 */ + 0x00, 0x01, 0x00, 0x01 +}; + +static const uint8_t d_1024[] = { /* key component d, 128 bytes */ + 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 */ + 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 */ + 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 */ + 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 */ + 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, + 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, + 0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c, + 0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49, + 0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97 +}; + +static const uint8_t s_1024[] = { /* signed message, 128 bytes */ + 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----- +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 */ + 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 */ + 0x00, 0x01, 0x00, 0x01 +}; + +static const uint8_t d_2048[] = { /* key component d, 256 bytes */ + 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 */ + 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, 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 */ + 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 */ + 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, + 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, 0x8e, 0x36, 0xfc, 0x9a, + 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c, 0x03, 0x66, 0xa1, 0x75, + 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49, 0x61, 0x07, 0x07, 0x4d, + 0x03, 0x43, 0xb5, 0x97 +}; + +static const uint8_t s_2048[] = { /* signed message, 256 bytes */ + 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----- +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 */ + 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 */ + 0x00, 0x01, 0x00, 0x01 +}; + +static const uint8_t d_4096[] = { /* key component d, 512 bytes */ + 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 */ + 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 */ + 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 */ + 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 */ + 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, + 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, + 0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c, + 0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49, + 0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97 +}; + +static const uint8_t s_4096[] = { /* signed message, 512 bytes */ + 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, dP, dQ, u, m, s; } rsa_tc_t; + +static const rsa_tc_t rsa_tc[] = { + { 1024, + { n_1024, sizeof(n_1024) }, + { e_1024, sizeof(e_1024) }, + { 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) } + }, + { 2048, + { n_2048, sizeof(n_2048) }, + { e_2048, sizeof(e_2048) }, + { 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) } + }, + { 4096, + { n_4096, sizeof(n_4096) }, + { e_4096, sizeof(e_4096) }, + { 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) } + } +}; |