#include "bee2/core/blob.h"
#include "bee2/core/err.h"
#include "bee2/core/mem.h"
#include "bee2/core/prng.h"
#include "bee2/core/str.h"
#include "bee2/core/util.h"
#include "bee2/crypto/pfok.h"
#include "bee2/math/pri.h"
#include "bee2/math/zm.h"
#include "bee2/math/ww.h"
#include "bee2/math/zz.h"
#if (B_PER_W == 16)
#error "Can't construct small primes"
#endif
static size_t const _ls[] =
{
638, 702, 766, 862, 958, 1022, 1118,
1214, 1310, 1438, 1534, 1662, 1790, 1918,
2046, 2174, 2334, 2462, 2622, 2782, 2942,
};
static size_t const _rs[] =
{
130, 136, 141, 149, 154, 161, 168,
175, 181, 188, 194, 201, 208, 214,
221, 225, 234, 240, 246, 253, 259,
};
static const size_t _test_params_n = 256;
static const u16 _test_params_zi[] = {
40046, 43788, 1706, 57707, 58664, 8036, 56277, 12802,
22211, 49982, 39997, 7717, 7896, 18474, 58455, 3341,
30740, 54550, 18656, 61919, 54929, 55271, 27359, 45417,
54224, 30379, 40508, 57601, 27245, 54721, 4700,
};
static const char _test_params_name[] = "test";
static const size_t _test_params_l = 638;
static const size_t _test_params_r = 130;
static const octet _test_params_p[] = {
0xDF, 0x60, 0x3F, 0xB4, 0xB1, 0xCB, 0x6B, 0xEB,
0xBE, 0xB8, 0x47, 0xA8, 0x70, 0x61, 0x37, 0x93,
0x16, 0xAE, 0x3C, 0x66, 0xFA, 0x82, 0x8A, 0x6F,
0x90, 0x05, 0x8A, 0x59, 0xBA, 0xE3, 0xDC, 0x65,
0x80, 0x56, 0xB4, 0x67, 0xAE, 0x55, 0x59, 0x77,
0x11, 0x12, 0x33, 0x3B, 0x0B, 0x3C, 0xF8, 0xF9,
0x77, 0xE9, 0x7F, 0x51, 0xDC, 0xAE, 0x1F, 0x3C,
0x3E, 0x0E, 0x6C, 0xE0, 0xFB, 0xFA, 0xD8, 0x9D,
0x75, 0xB7, 0xF2, 0x4B, 0x3B, 0xE7, 0x37, 0xE1,
0x75, 0xAB, 0xAA, 0x86, 0xAB, 0x91, 0xF7, 0x2A,
};
static const octet _test_params_g[] = {
0xEA, 0x36, 0x50, 0x71, 0xE2, 0x10, 0x2E, 0x77,
0x59, 0xB7, 0x21, 0x16, 0x69, 0xBC, 0xD6, 0x11,
0xF6, 0x80, 0x58, 0x9A, 0x2B, 0x0E, 0xF9, 0xDC,
0x96, 0x51, 0xF0, 0x0E, 0x85, 0xB0, 0x21, 0x8E,
0xBD, 0xC1, 0xB1, 0xCC, 0x43, 0xF5, 0xD1, 0x12,
0x8E, 0xDD, 0xA8, 0x19, 0x8D, 0xE7, 0x21, 0x5E,
0x01, 0xF0, 0x6D, 0x2E, 0x3C, 0x35, 0x3B, 0xBA,
0x7C, 0x99, 0x27, 0x45, 0x2F, 0x7F, 0x47, 0x50,
0x28, 0x73, 0x4F, 0x54, 0x0A, 0xE9, 0x24, 0xDF,
0xB8, 0x81, 0x33, 0xC5, 0x97, 0xD3, 0x43, 0x2A,
};
static const size_t _test_params_li[] = {
637, 319, 160, 81, 41, 21,
};
static const size_t _bdh_params_n = 256;
static const u16 _bdh_params_zi[] = {
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
};
static const char _bdh_params3_name[] = "1.2.112.0.2.0.1176.2.3.3.2";
static const size_t _bdh_params3_l = 1022;
static const size_t _bdh_params3_r = 161;
static const octet _bdh_params3_p[] = {
0x6F, 0x5E, 0xBE, 0x31, 0xD7, 0x55, 0x76, 0x17,
0x84, 0x3F, 0xC5, 0xAB, 0x4E, 0xC7, 0x67, 0xE0,
0x6E, 0x42, 0xDE, 0xEA, 0x2C, 0x82, 0xBE, 0x7B,
0x3F, 0xEA, 0xCB, 0xEC, 0xC4, 0x17, 0x07, 0x65,
0x27, 0xB6, 0x04, 0xBF, 0xA6, 0x67, 0xE5, 0x2C,
0x48, 0xD2, 0x19, 0xEC, 0xAB, 0x83, 0x16, 0x72,
0x4F, 0x0B, 0xAB, 0x80, 0xD8, 0x10, 0x27, 0xB6,
0x9C, 0x80, 0xB7, 0xE8, 0xA2, 0x14, 0xAB, 0x94,
0x0E, 0x24, 0x0C, 0x05, 0x98, 0x9B, 0xC1, 0x4B,
0xEE, 0x10, 0x05, 0x2B, 0xE7, 0xC2, 0x68, 0x78,
0xAB, 0xE9, 0xEB, 0x51, 0x27, 0xCB, 0x9D, 0xA6,
0x48, 0x6A, 0x7E, 0x5E, 0x5D, 0x1E, 0xFE, 0x77,
0x66, 0xE5, 0x87, 0x6E, 0x34, 0x98, 0x66, 0x74,
0x64, 0x3E, 0xB8, 0x42, 0x93, 0xE6, 0xE3, 0x4E,
0x78, 0x9E, 0x50, 0x8B, 0x8C, 0x8C, 0xAF, 0x80,
0xA4, 0x66, 0xF6, 0x38, 0xC5, 0x17, 0x96, 0x33,
};
static const octet _bdh_params3_g[] = {
0x69, 0x4D, 0x08, 0xFB, 0x1D, 0x37, 0x1A, 0x1B,
0x5C, 0xFB, 0x53, 0x95, 0xCD, 0x61, 0xCB, 0xE4,
0x2E, 0x88, 0xFB, 0xA5, 0xEE, 0x3C, 0xC6, 0x03,
0xFA, 0x45, 0x14, 0x99, 0x16, 0xB6, 0xCA, 0xD7,
0xA6, 0xEC, 0x80, 0x2F, 0x64, 0x0A, 0x7D, 0x7A,
0xEA, 0x41, 0x81, 0x6A, 0x02, 0x0C, 0x60, 0x9A,
0xE7, 0x2B, 0xF0, 0xC3, 0xC3, 0xE1, 0x7D, 0xD4,
0x13, 0x78, 0xEB, 0x85, 0xC2, 0xFF, 0xE6, 0xC7,
0x39, 0x5F, 0x46, 0x80, 0xB5, 0x56, 0x98, 0xAC,
0x25, 0xE7, 0xCE, 0x34, 0xA4, 0x49, 0x83, 0x54,
0xF3, 0xE6, 0x72, 0xC2, 0x8B, 0xE4, 0x8C, 0xCD,
0xD8, 0x4C, 0x82, 0x58, 0x1F, 0x54, 0x17, 0xFF,
0x6C, 0x5E, 0x06, 0x18, 0xC4, 0x80, 0x58, 0x67,
0x3B, 0xB5, 0x10, 0x0F, 0xA3, 0x11, 0x87, 0x69,
0xD8, 0xD3, 0xEE, 0xA2, 0xA0, 0xBC, 0x0D, 0x69,
0xC8, 0xFE, 0xDC, 0x50, 0xD3, 0x3A, 0x2A, 0x32,
};
static const size_t _bdh_params3_li[] = {
1021, 511, 256, 129, 65, 33, 17,
};
static const char _bdh_params6_name[] = "1.2.112.0.2.0.1176.2.3.6.2";
static const size_t _bdh_params6_l = 1534;
static const size_t _bdh_params6_r = 194;
static const octet _bdh_params6_p[] = {
0xC7, 0x51, 0x14, 0x7B, 0xED, 0x69, 0xF4, 0x2D,
0x32, 0x5F, 0xB1, 0x45, 0x0A, 0x66, 0xAF, 0xA5,
0x34, 0xE1, 0xBF, 0x35, 0x42, 0xCB, 0xBF, 0x36,
0xB5, 0x14, 0x2E, 0xF6, 0x64, 0x17, 0xF5, 0x2D,
0x42, 0x2E, 0x3F, 0x7A, 0x35, 0x7E, 0xF2, 0xAC,
0x1B, 0xBF, 0xB8, 0xAA, 0xA7, 0x69, 0xB1, 0xF0,
0x49, 0x1B, 0x46, 0x61, 0xFA, 0x8F, 0xE0, 0xC7,
0x0F, 0x40, 0x94, 0xF8, 0x28, 0x73, 0x19, 0xFA,
0x2E, 0x95, 0x40, 0x05, 0x22, 0xC8, 0x85, 0xD9,
0x3B, 0x70, 0x0F, 0x58, 0x1B, 0xBE, 0xC1, 0xDC,
0x4C, 0xC7, 0xEC, 0xCF, 0xB4, 0x3C, 0x04, 0x79,
0x3A, 0x25, 0x9A, 0x2E, 0x6F, 0xFA, 0x3E, 0x8C,
0x1A, 0x06, 0xA8, 0x9F, 0x96, 0x88, 0x38, 0xBB,
0x74, 0xA5, 0x77, 0xC3, 0x0D, 0x09, 0x57, 0x45,
0x74, 0x08, 0x97, 0x44, 0xA1, 0xF4, 0x7C, 0xE0,
0x98, 0x85, 0xD2, 0x46, 0x24, 0x82, 0x1D, 0xA0,
0xAD, 0x39, 0xE6, 0x77, 0xF4, 0x5C, 0x00, 0xE0,
0x9E, 0x92, 0x06, 0x6B, 0x2B, 0xAD, 0xE0, 0xCB,
0x66, 0xD2, 0x02, 0xCC, 0xAD, 0x51, 0xEB, 0xE1,
0x1F, 0xE9, 0x4D, 0xB1, 0x30, 0x65, 0xBF, 0xBB,
0x94, 0x55, 0xE7, 0x58, 0x61, 0xAA, 0x78, 0x78,
0x1C, 0x5E, 0x6C, 0xB5, 0x88, 0xCA, 0x4E, 0xD5,
0x50, 0x3A, 0xDF, 0x8C, 0xD4, 0x4B, 0x05, 0x2D,
0xA5, 0xF5, 0xA9, 0x6B, 0x50, 0x1F, 0x7C, 0x39,
};
static const octet _bdh_params6_g[] = {
0xB2, 0x85, 0x48, 0xF3, 0x48, 0xEB, 0xE7, 0x5A,
0xBD, 0x23, 0xCE, 0x48, 0xB7, 0x2E, 0x92, 0xC5,
0x78, 0x0F, 0x74, 0xC2, 0xD7, 0xDF, 0x35, 0x1D,
0x76, 0x31, 0x54, 0x3F, 0xEE, 0x2C, 0x40, 0xB4,
0xE2, 0x9B, 0x5E, 0x7B, 0x94, 0xF9, 0x34, 0xD8,
0xA1, 0xD8, 0x71, 0x5E, 0x25, 0xC5, 0x21, 0xE4,
0xCE, 0xFC, 0xA4, 0x13, 0x22, 0xDF, 0x78, 0x8C,
0x6A, 0x71, 0xFD, 0x64, 0x4E, 0xE5, 0x74, 0x60,
0x1B, 0xCC, 0x01, 0xEC, 0x99, 0xF6, 0xCE, 0x18,
0xE2, 0x53, 0x4D, 0xA0, 0xA6, 0x85, 0x4B, 0xF6,
0xC8, 0xC6, 0xF9, 0xB0, 0x59, 0x3E, 0x31, 0x3A,
0x1A, 0x20, 0x6D, 0xB7, 0xB7, 0xC6, 0x54, 0x45,
0xA3, 0x00, 0xB1, 0x33, 0x06, 0x09, 0x2B, 0x97,
0x0D, 0xD7, 0x98, 0xC7, 0x32, 0x15, 0xC5, 0x3A,
0x97, 0xD3, 0xB4, 0xAF, 0xE1, 0xF9, 0x25, 0x08,
0xD1, 0xE5, 0x22, 0x13, 0x56, 0xAD, 0x88, 0xD2,
0xCD, 0xA0, 0xD7, 0x73, 0xD9, 0x62, 0x76, 0xC1,
0x47, 0x50, 0xBF, 0x1E, 0xD8, 0x7D, 0x58, 0x8B,
0xC7, 0xC5, 0x47, 0xEE, 0xB7, 0x57, 0xA9, 0xC3,
0xAF, 0x25, 0xC8, 0x7B, 0x8F, 0x13, 0x3A, 0x3C,
0xFD, 0x6F, 0x7D, 0xEE, 0x66, 0xF7, 0xD0, 0x9A,
0xCC, 0xA7, 0xCB, 0xB3, 0x0B, 0x4D, 0xDA, 0x41,
0xB4, 0x21, 0x84, 0xF9, 0xBD, 0xF4, 0xE3, 0x6B,
0xEF, 0x90, 0x3E, 0x5E, 0xB6, 0xA8, 0xE7, 0x24,
};
static const size_t _bdh_params6_li[] = {
1533, 767, 384, 193, 97, 49, 25,
};
static const char _bdh_params10_name[] = "1.2.112.0.2.0.1176.2.3.10.2";
static const size_t _bdh_params10_l = 2462;
static const size_t _bdh_params10_r = 240;
static const octet _bdh_params10_p[] = {
0xDB, 0x80, 0x4A, 0x65, 0x29, 0x2D, 0x15, 0x9C,
0x56, 0xF9, 0x99, 0x47, 0x65, 0xAE, 0x74, 0xFC,
0xE1, 0xE8, 0x0C, 0x12, 0x3E, 0x82, 0xBB, 0x75,
0x20, 0xE2, 0x33, 0x17, 0xD8, 0x03, 0xA6, 0x6A,
0x90, 0x8C, 0x5E, 0x94, 0x39, 0x65, 0x08, 0xA6,
0x92, 0x7F, 0x4A, 0xC6, 0x38, 0x33, 0xDF, 0x8E,
0xA6, 0x1A, 0x08, 0x23, 0xB8, 0x29, 0xFA, 0x3A,
0x33, 0xC6, 0xC8, 0x27, 0x58, 0xA4, 0xFE, 0x4D,
0xED, 0x1F, 0xDE, 0x37, 0x36, 0x84, 0x93, 0x68,
0x0B, 0x68, 0xE6, 0xA9, 0x5E, 0x07, 0xBF, 0x1C,
0xE0, 0x16, 0xAE, 0x73, 0xAE, 0x92, 0xAD, 0x2D,
0x0D, 0xC4, 0xE0, 0xF5, 0x39, 0x7B, 0x41, 0xF1,
0xFC, 0xBA, 0x14, 0x09, 0x8F, 0xA0, 0xFD, 0x21,
0x05, 0xB0, 0xD3, 0x8E, 0x63, 0xB5, 0x2F, 0x3A,
0xDE, 0x4B, 0x20, 0x36, 0xC3, 0xEC, 0xCD, 0x9A,
0xEF, 0x52, 0xE4, 0xA8, 0x56, 0x13, 0x00, 0xC4,
0xD5, 0x3C, 0x9A, 0x37, 0x08, 0x5B, 0xE9, 0xF8,
0x52, 0xBF, 0x29, 0xF4, 0x97, 0x85, 0x64, 0x42,
0x69, 0x45, 0x50, 0x41, 0xE6, 0x47, 0x56, 0xFF,
0xA6, 0xA3, 0xB2, 0xD9, 0x75, 0x9B, 0x01, 0x0C,
0x11, 0xDD, 0x63, 0xE1, 0x5F, 0x2E, 0x46, 0xA8,
0xD1, 0xA1, 0x36, 0x39, 0xC1, 0xA3, 0x6F, 0x51,
0xB4, 0xB9, 0xF6, 0x53, 0x26, 0x9F, 0xF9, 0xDC,
0xF2, 0x11, 0x27, 0x4E, 0xC1, 0x70, 0xF4, 0x1F,
0xEE, 0x33, 0x74, 0xAF, 0x40, 0xAE, 0x58, 0xA3,
0x5B, 0xD0, 0xAB, 0x66, 0x7F, 0x26, 0x39, 0x51,
0xDF, 0xB6, 0x8B, 0xB6, 0xF0, 0xAD, 0xB1, 0xE5,
0x3B, 0x02, 0x72, 0xB7, 0x8E, 0xA4, 0xD7, 0xF6,
0x2D, 0x05, 0x38, 0x3D, 0xE5, 0x34, 0x8D, 0x21,
0x87, 0x23, 0x7D, 0xEB, 0xA1, 0x3D, 0xF3, 0x22,
0xDA, 0xF1, 0xE4, 0x2D, 0xCF, 0x42, 0x69, 0x1C,
0x96, 0x54, 0x10, 0x16, 0xB1, 0xF4, 0xEA, 0x94,
0x9C, 0xED, 0x31, 0x46, 0x7F, 0x8F, 0x1F, 0x93,
0x9B, 0x59, 0x4A, 0x69, 0xEC, 0x92, 0x92, 0x9B,
0xA9, 0xB6, 0x0A, 0xD8, 0x3A, 0xED, 0x0F, 0x23,
0x08, 0x8C, 0xDD, 0xA0, 0x12, 0xAD, 0xC0, 0x26,
0xEE, 0x65, 0xC3, 0xD0, 0x38, 0x6B, 0x20, 0xAA,
0xA0, 0x13, 0x8F, 0xAF, 0x6F, 0xC2, 0x81, 0xEA,
0x85, 0xF4, 0xA8, 0x20,
};
static const octet _bdh_params10_g[] = {
0x14, 0xE1, 0x96, 0x49, 0x7C, 0x27, 0xCD, 0x04,
0x2E, 0xF3, 0x32, 0x7B, 0x74, 0x12, 0x2C, 0xDE,
0x04, 0xF8, 0xE6, 0x30, 0x2E, 0xB5, 0x25, 0x2A,
0x39, 0xBC, 0x4A, 0x90, 0xD7, 0xE0, 0x98, 0x97,
0xF9, 0xF4, 0xFD, 0xFD, 0x97, 0x96, 0xBF, 0xD7,
0x50, 0xA9, 0x51, 0x74, 0x6D, 0x40, 0xA0, 0xD7,
0x5F, 0x6A, 0xC6, 0x10, 0x3B, 0xAF, 0xB8, 0x51,
0xDA, 0xD5, 0x19, 0x0F, 0xD9, 0x66, 0xF4, 0x4E,
0xA6, 0x96, 0x5C, 0x33, 0x38, 0x88, 0xA6, 0x9B,
0x80, 0xCE, 0x13, 0xAE, 0xBF, 0x87, 0x63, 0x44,
0xF4, 0x6E, 0x44, 0x6D, 0x7C, 0x96, 0x32, 0x3B,
0xD9, 0xDD, 0x64, 0x84, 0xE2, 0x30, 0x5E, 0x94,
0x19, 0x9C, 0x67, 0xC4, 0xFB, 0xB7, 0x53, 0x38,
0x57, 0x55, 0xD5, 0x94, 0x7A, 0x08, 0xD6, 0x48,
0xA9, 0x7A, 0xF8, 0x74, 0xF4, 0x03, 0x6A, 0x01,
0x67, 0x2E, 0xEB, 0x54, 0x9F, 0x04, 0xF7, 0xB5,
0x0A, 0xCF, 0x6D, 0xAA, 0x7C, 0x7E, 0x70, 0x96,
0x32, 0xBA, 0x20, 0x16, 0x65, 0xB4, 0x6A, 0xFC,
0xB6, 0xDD, 0xC4, 0x58, 0x8A, 0xB0, 0x1B, 0x3A,
0x09, 0xC7, 0xD9, 0x7B, 0x67, 0x96, 0xEF, 0x0A,
0x94, 0x38, 0x17, 0x4C, 0xF1, 0x11, 0x8F, 0x8C,
0xCC, 0x6F, 0x27, 0x95, 0x9A, 0x7C, 0x9A, 0xC2,
0xC0, 0x92, 0x3B, 0x87, 0x00, 0xB9, 0xAE, 0x1F,
0x2B, 0xE6, 0xB3, 0xDD, 0xB5, 0xDB, 0xC8, 0x5A,
0x6C, 0xD2, 0x3F, 0xE3, 0x69, 0x41, 0xCD, 0x1E,
0x04, 0x6A, 0x6C, 0x48, 0x71, 0x22, 0x82, 0xAB,
0xD4, 0x52, 0x55, 0x4F, 0x84, 0xF5, 0x96, 0x13,
0x9F, 0xBA, 0xBB, 0x67, 0x8D, 0x39, 0x26, 0xE5,
0x58, 0x4E, 0x4C, 0x28, 0x0C, 0x18, 0xB2, 0xC2,
0x49, 0xF2, 0x35, 0x91, 0x03, 0x9E, 0x46, 0xA9,
0x86, 0xA8, 0x29, 0x8D, 0x76, 0x52, 0x57, 0x97,
0x7C, 0x54, 0x0F, 0x11, 0x23, 0x88, 0x3D, 0x87,
0xC9, 0x2B, 0x34, 0x7E, 0xB9, 0x41, 0x02, 0xD9,
0xA5, 0x0A, 0xE6, 0x0C, 0x10, 0x8D, 0x3E, 0x61,
0x73, 0x3D, 0x41, 0x6D, 0x82, 0x8E, 0x8F, 0x84,
0x96, 0xAD, 0x42, 0x9A, 0x75, 0xB6, 0xE2, 0x26,
0x95, 0xF1, 0x79, 0xED, 0x94, 0x4B, 0x2E, 0x44,
0x01, 0x06, 0x45, 0x62, 0x57, 0x39, 0xC2, 0xFA,
0xE5, 0x64, 0x83, 0x03,
};
static const size_t _bdh_params10_li[] = {
2461, 1231, 616, 309, 155, 78, 40, 21,
};
err_t pfokParamsStd(pfok_params* params, pfok_seed* seed, const char* name)
{
if (!memIsValid(params, sizeof(pfok_params)) ||
!memIsNullOrValid(seed, sizeof(pfok_seed)))
return ERR_BAD_INPUT;
memSetZero(params, sizeof(pfok_params));
if (seed)
memSetZero(seed, sizeof(pfok_seed));
if (strEq(name, _test_params_name))
{
params->l = _test_params_l;
params->r = _test_params_r;
params->n = _test_params_n;
memCopy(params->p, _test_params_p, sizeof(_test_params_p));
memCopy(params->g, _test_params_g, sizeof(_test_params_g));
if (seed)
{
seed->l = _test_params_l;
memCopy(seed->zi, _test_params_zi, sizeof(_test_params_zi));
memCopy(seed->li, _test_params_li, sizeof(_test_params_li));
}
return ERR_OK;
}
if (strEq(name, _bdh_params3_name))
{
params->l = _bdh_params3_l;
params->r = _bdh_params3_r;
params->n = _bdh_params_n;
memCopy(params->p, _bdh_params3_p, sizeof(_bdh_params3_p));
memCopy(params->g, _bdh_params3_g, sizeof(_bdh_params3_g));
if (seed)
{
seed->l = _bdh_params3_l;
memCopy(seed->zi, _bdh_params_zi, sizeof(_bdh_params_zi));
memCopy(seed->li, _bdh_params3_li, sizeof(_bdh_params3_li));
}
return ERR_OK;
}
if (strEq(name, _bdh_params6_name))
{
params->l = _bdh_params6_l;
params->r = _bdh_params6_r;
params->n = _bdh_params_n;
memCopy(params->p, _bdh_params6_p, sizeof(_bdh_params6_p));
memCopy(params->g, _bdh_params6_g, sizeof(_bdh_params6_g));
if (seed)
{
seed->l = _bdh_params6_l;
memCopy(seed->zi, _bdh_params_zi, sizeof(_bdh_params_zi));
memCopy(seed->li, _bdh_params6_li, sizeof(_bdh_params6_li));
}
return ERR_OK;
}
if (strEq(name, _bdh_params10_name))
{
params->l = _bdh_params10_l;
params->r = _bdh_params10_r;
params->n = _bdh_params_n;
memCopy(params->p, _bdh_params10_p, sizeof(_bdh_params10_p));
memCopy(params->g, _bdh_params10_g, sizeof(_bdh_params10_g));
if (seed)
{
seed->l = _bdh_params10_l;
memCopy(seed->zi, _bdh_params_zi, sizeof(_bdh_params_zi));
memCopy(seed->li, _bdh_params10_li, sizeof(_bdh_params10_li));
}
return ERR_OK;
}
return ERR_FILE_NOT_FOUND;
}
static err_t pfokZiVal(const pfok_seed* seed)
{
size_t i;
for (i = 0; i < 31; ++i)
if (seed->zi[i] == 0 || seed->zi[i] >= 65257)
return ERR_BAD_SEED;
return ERR_OK;
}
static err_t pfokLiVal(const pfok_seed* seed)
{
size_t i;
if (seed->li[0] != seed->l - 1)
return ERR_BAD_SEED;
ASSERT(seed->li[0] > 16);
for (i = 1; i < COUNT_OF(seed->li) && seed->li[i] > 16; ++i)
if (seed->li[i] >= SIZE_MAX / 5 ||
seed->li[i - 1] > 2 * seed->li[i] ||
5 * seed->li[i] >= 4 * seed->li[i - 1] - 16)
return ERR_BAD_SEED;
if (seed->li[i - 1] > 32)
return ERR_BAD_SEED;
for (; i < COUNT_OF(seed->li); ++i)
if (seed->li[i] != 0)
return ERR_BAD_SEED;
return ERR_OK;
}
err_t pfokSeedVal(const pfok_seed* seed)
{
err_t code;
size_t i;
if (!memIsValid(seed, sizeof(pfok_seed)))
return ERR_BAD_INPUT;
for (i = 0; i < COUNT_OF(_ls); ++i)
if (_ls[i] == seed->l)
break;
if (i == COUNT_OF(_ls))
return ERR_BAD_SEED;
code = pfokZiVal(seed);
ERR_CALL_CHECK(code);
code = pfokLiVal(seed);
ERR_CALL_CHECK(code);
return ERR_OK;
}
err_t pfokSeedAdj(pfok_seed* seed)
{
size_t i;
if (!memIsValid(seed, sizeof(pfok_seed)))
return ERR_BAD_INPUT;
for (i = 0; i < COUNT_OF(_ls); ++i)
if (_ls[i] == seed->l)
break;
if (i == COUNT_OF(_ls))
return ERR_BAD_SEED;
if (pfokZiVal(seed) != ERR_OK)
{
if (!memIsZero(seed->zi, sizeof(seed->zi)))
return ERR_BAD_SEED;
for (i = 0; i < 31; ++i)
seed->zi[i] = (u16)(i + 1);
}
if (pfokLiVal(seed) != ERR_OK)
{
if (!memIsZero(seed->li, sizeof(seed->li)))
return ERR_BAD_SEED;
seed->li[0] = seed->l - 1;
for (i = 1; (seed->li[i] = seed->li[i - 1] / 2 + 1) > 32; ++i);
ASSERT(seed->li[i] > 16);
}
return ERR_OK;
}
static bool_t pfokParamsIsOperable(const pfok_params* params)
{
size_t i;
size_t no;
ASSERT(memIsValid(params, sizeof(pfok_params)));
for (i = 0; i < COUNT_OF(_ls); ++i)
if (_ls[i] == params->l)
break;
if (i == COUNT_OF(_ls) || _rs[i] != params->r || params->n >= params->l)
return FALSE;
ASSERT((params->l + 2) % 8 == 0);
no = O_OF_B(params->l);
if (params->p[0] % 4 != 3 || params->p[no - 1] / 32 != 1 ||
!memIsZero(params->p + no, sizeof(params->p) - no))
return FALSE;
return !memIsZero(params->g, no) &&
memIsZero(params->g + no, sizeof(params->g) - no) &&
memCmpRev(params->g, params->p, no) < 0;
}
err_t pfokParamsGen(pfok_params* params, const pfok_seed* seed,
pfok_on_q_i on_q)
{
err_t code;
size_t num = 0;
size_t i;
size_t n, no;
size_t qw;
size_t offset;
size_t trials;
size_t base_count;
void* state;
octet* stb_state;
word* qi;
word* p;
word* g;
qr_o* qr;
void* stack;
code = pfokSeedVal(seed);
ERR_CALL_CHECK(code);
if (!memIsValid(params, sizeof(pfok_params)))
return ERR_BAD_INPUT;
memSetZero(params, sizeof(pfok_params));
params->l = seed->l;
for (i = 0; i < COUNT_OF(_ls); ++i)
if (_ls[i] == params->l)
break;
ASSERT(i != COUNT_OF(_ls));
params->r = _rs[i], params->n = 256;
for (i = 1, qw = W_OF_B(seed->li[0]); seed->li[i] > 32; ++i)
qw += W_OF_B(seed->li[i]);
ASSERT(seed->li[i] > 16);
ASSERT(W_OF_B(seed->li[i]) == 1);
qw += 1;
n = W_OF_B(params->l), no = O_OF_B(params->l);
ASSERT(W_OF_B(seed->li[0]) == n);
state = blobCreate(
prngSTB_keep() + O_OF_W(qw + 2 * n) + zmMontCreate_keep(no) +
utilMax(6,
priNextPrimeW_deep(),
priExtendPrime_deep(params->l, W_OF_B(seed->li[1]),
(seed->li[0] + 3) / 4),
priIsSieved_deep((seed->li[0] + 3) / 4),
priIsSGPrime_deep(n),
zmMontCreate_deep(no),
qrPower_deep(n, n, zmMontCreate_deep(no))));
if (state == 0)
return ERR_OUTOFMEMORY;
stb_state = (octet*)state;
qi = (word*)(stb_state + prngSTB_keep());
p = qi + qw;
g = p + n;
qr = (qr_o*)(g + n);
stack = (octet*)qr + zmMontCreate_keep(no);
prngSTBStart(stb_state, seed->zi);
offset = qw - 1;
while (1)
{
if (seed->li[i] <= 32)
{
do
{
prngSTBStepR(qi + offset, O_OF_B(seed->li[i]), stb_state);
wwFrom(qi + offset, qi + offset, O_OF_B(seed->li[i]));
wwTrimHi(qi + offset, W_OF_B(seed->li[i]), seed->li[i] - 1);
wwSetBit(qi + offset, seed->li[i] - 1, 1);
}
while (!priNextPrimeW(qi + offset, qi[offset], stack));
}
else
{
trials = (i == 0) ? 4 * seed->li[i] * seed->li[i] : 4 * seed->li[i];
base_count = (seed->li[i] + 3) / 4;
if (base_count > priBaseSize())
base_count = priBaseSize();
if (!priExtendPrime(qi + offset, seed->li[i],
qi + offset + W_OF_B(seed->li[i]), W_OF_B(seed->li[i + 1]),
trials, base_count, prngSTBStepR, stb_state, stack))
{
offset += W_OF_B(seed->li[i++]);
continue;
}
if (i == 0)
{
on_q ? on_q(qi, W_OF_B(seed->li[0]), ++num) : 0;
ASSERT(W_OF_B(seed->li[0]) == n);
wwCopy(p, qi, n);
wwShHi(p, n, 1);
p[0] |= 1;
if (priIsSieved(p, n, base_count, stack) &&
priIsSGPrime(qi, n, stack))
break;
else
continue;
}
}
offset -= W_OF_B(seed->li[--i]);
}
on_q ? on_q(qi, W_OF_B(seed->li[0]), 0) : 0;
wwTo(params->p, no, p);
zmMontCreate(qr, params->p, no, params->l + 2, stack);
params->g[0] = 1;
VERIFY(qrFrom(g, params->g, qr, stack));
while (1)
{
qrPower(p, g, qi, W_OF_B(seed->li[0]), qr, stack);
if (!qrIsUnity(p, qr) && qrCmp(p, g, qr) != 0)
break;
zzAddWMod(g, g, 1, qr->mod, n);
}
wwTo(params->g, no, g);
blobClose(state);
return ERR_OK;
}
err_t pfokParamsVal(const pfok_params* params)
{
size_t n, no;
void* state;
word* p;
word* q;
word* g;
qr_o* qr;
void* stack;
if (!memIsValid(params, sizeof(pfok_params)))
return ERR_BAD_INPUT;
if (!pfokParamsIsOperable(params))
return ERR_BAD_PARAMS;
no = O_OF_B(params->l), n = W_OF_B(params->l);
state = blobCreate(
O_OF_W(2 * n) + zmMontCreate_keep(no) +
utilMax(3,
priIsPrime_deep(n),
zmMontCreate_deep(no),
qrPower_deep(n, n, zmMontCreate_deep(no))));
if (state == 0)
return ERR_OUTOFMEMORY;
p = (word*)state;
g = p + n;
qr = (qr_o*)(g + n);
stack = (octet*)qr + zmMontCreate_keep(no);
wwFrom(p, params->p, no);
if (!priIsPrime(p, n, stack))
{
blobClose(state);
return ERR_BAD_PARAMS;
}
wwShLo(q = p, n, 1);
if (!priIsPrime(q, n, stack))
{
blobClose(state);
return ERR_BAD_PARAMS;
}
zmMontCreate(qr, params->p, no, params->l + 2, stack);
if (!qrFrom(g, params->g, qr, stack) ||
(qrPower(p, g, q, W_OF_B(params->l - 1), qr, stack), 0) ||
qrIsUnity(p, qr) ||
qrCmp(p, g, qr) == 0)
{
blobClose(state);
return ERR_BAD_PARAMS;
}
blobClose(state);
return ERR_OK;
}
err_t pfokKeypairGen(octet privkey[], octet pubkey[],
const pfok_params* params, gen_i rng, void* rng_state)
{
size_t n, no;
size_t m, mo;
void* state;
word* x;
word* y;
qr_o* qr;
void* stack;
if (!memIsValid(params, sizeof(pfok_params)))
return ERR_BAD_INPUT;
if (!pfokParamsIsOperable(params))
return ERR_BAD_PARAMS;
n = W_OF_B(params->l), no = O_OF_B(params->l);
m = W_OF_B(params->r), mo = O_OF_B(params->r);
if (!memIsValid(privkey, mo) || !memIsValid(pubkey, no) || rng == 0)
return ERR_BAD_INPUT;
state = blobCreate(
O_OF_W(n) + O_OF_W(m) + zmMontCreate_keep(no) +
utilMax(2,
zmMontCreate_deep(no),
qrPower_deep(n, n, zmMontCreate_deep(no))));
if (state == 0)
return ERR_OUTOFMEMORY;
x = (word*)state;
y = x + m;
qr = (qr_o*)(y + n);
stack = (octet*)qr + zmMontCreate_keep(no);
zmMontCreate(qr, params->p, no, params->l + 2, stack);
rng(x, mo, rng_state);
wwFrom(x, x, mo);
wwTrimHi(x, m, params->r);
wwFrom(y, params->g, no);
qrPower(y, y, x, m, qr, stack);
wwTo(privkey, mo, x);
qrTo(pubkey, y, qr, stack);
blobClose(state);
return ERR_OK;
}
err_t pfokPubkeyVal(const pfok_params* params, const octet pubkey[])
{
size_t no;
if (!memIsValid(params, sizeof(pfok_params)))
return ERR_BAD_INPUT;
if (!pfokParamsIsOperable(params))
return ERR_BAD_PARAMS;
no = O_OF_B(params->l);
if (!memIsValid(pubkey, no))
return ERR_BAD_INPUT;
if (memIsZero(pubkey, no) || memCmpRev(pubkey, params->p, no) >= 0)
return ERR_BAD_PUBKEY;
return ERR_OK;
}
err_t pfokPubkeyCalc(octet pubkey[], const pfok_params* params,
const octet privkey[])
{
size_t n, no;
size_t m, mo;
void* state;
word* x;
word* y;
qr_o* qr;
void* stack;
if (!memIsValid(params, sizeof(pfok_params)))
return ERR_BAD_INPUT;
if (!pfokParamsIsOperable(params))
return ERR_BAD_PARAMS;
n = W_OF_B(params->l), no = O_OF_B(params->l);
m = W_OF_B(params->r), mo = O_OF_B(params->r);
if (!memIsValid(privkey, mo) || !memIsValid(pubkey, no))
return ERR_BAD_INPUT;
state = blobCreate(
O_OF_W(n) + O_OF_W(m) + zmMontCreate_keep(no) +
utilMax(2,
zmMontCreate_deep(no),
qrPower_deep(n, n, zmMontCreate_deep(no))));
if (state == 0)
return ERR_OUTOFMEMORY;
x = (word*)state;
y = x + m;
qr = (qr_o*)(y + n);
stack = (octet*)qr + zmMontCreate_keep(no);
zmMontCreate(qr, params->p, no, params->l + 2, stack);
wwFrom(x, privkey, mo);
if (wwGetBits(x, params->r, B_OF_W(m) - params->r) != 0)
{
blobClose(state);
return ERR_BAD_PRIVKEY;
}
wwFrom(y, params->g, no);
qrPower(y, y, x, m, qr, stack);
qrTo(pubkey, y, qr, stack);
blobClose(state);
return ERR_OK;
}
err_t pfokDH(octet sharekey[], const pfok_params* params,
const octet privkey[], const octet pubkey[])
{
size_t n, no;
size_t m, mo;
void* state;
word* x;
word* y;
qr_o* qr;
void* stack;
if (!memIsValid(params, sizeof(pfok_params)))
return ERR_BAD_INPUT;
if (!pfokParamsIsOperable(params))
return ERR_BAD_PARAMS;
n = W_OF_B(params->l), no = O_OF_B(params->l);
m = W_OF_B(params->r), mo = O_OF_B(params->r);
if (!memIsValid(privkey, mo) ||
!memIsValid(pubkey, no) ||
!memIsValid(sharekey, O_OF_B(params->n)))
return ERR_BAD_INPUT;
state = blobCreate(
O_OF_W(n) + O_OF_W(m) + zmMontCreate_keep(no) +
utilMax(2,
zmMontCreate_deep(no),
qrPower_deep(n, n, zmMontCreate_deep(no))));
if (state == 0)
return ERR_OUTOFMEMORY;
x = (word*)state;
y = x + m;
qr = (qr_o*)(y + n);
stack = (octet*)qr + zmMontCreate_keep(no);
zmMontCreate(qr, params->p, no, params->l + 2, stack);
wwFrom(x, privkey, mo);
if (wwGetBits(x, params->r, B_OF_W(m) - params->r) != 0)
{
blobClose(state);
return ERR_BAD_PRIVKEY;
}
wwFrom(y, pubkey, no);
if (wwIsZero(y, n) || wwCmp(y, qr->mod, n) >= 0)
{
blobClose(state);
return ERR_BAD_PUBKEY;
}
qrPower(y, y, x, m, qr, stack);
qrTo((octet*)y, y, qr, stack);
memCopy(sharekey, y, O_OF_B(params->n));
if (params->n % 8)
sharekey[params->n / 8] &= (octet)255 >> (8 - params->n % 8);
blobClose(state);
return ERR_OK;
}
err_t pfokMTI(octet sharekey[], const pfok_params* params,
const octet privkey[], const octet privkey1[],
const octet pubkey[], const octet pubkey1[])
{
size_t n, no;
size_t m, mo;
void* state;
word* x;
word* u;
word* y;
word* v;
qr_o* qr;
void* stack;
if (!memIsValid(params, sizeof(pfok_params)))
return ERR_BAD_INPUT;
if (!pfokParamsIsOperable(params))
return ERR_BAD_PARAMS;
n = W_OF_B(params->l), no = O_OF_B(params->l);
m = W_OF_B(params->r), mo = O_OF_B(params->r);
if (!memIsValid(privkey, mo) ||
!memIsValid(privkey1, mo) ||
!memIsValid(pubkey, no) ||
!memIsValid(pubkey1, no) ||
!memIsValid(sharekey, O_OF_B(params->n)))
return ERR_BAD_INPUT;
state = blobCreate(
2 * O_OF_W(n) + 2 * O_OF_W(m) + zmMontCreate_keep(no) +
utilMax(2,
zmMontCreate_deep(no),
qrPower_deep(n, n, zmMontCreate_deep(no))));
if (state == 0)
return ERR_OUTOFMEMORY;
x = (word*)state;
u = x + m;
y = u + m;
v = y + n;
qr = (qr_o*)(v + n);
stack = (octet*)qr + zmMontCreate_keep(no);
zmMontCreate(qr, params->p, no, params->l + 2, stack);
wwFrom(x, privkey, mo);
wwFrom(u, privkey1, mo);
if (wwGetBits(x, params->r, B_OF_W(m) - params->r) != 0 ||
wwGetBits(u, params->r, B_OF_W(m) - params->r) != 0)
{
blobClose(state);
return ERR_BAD_PRIVKEY;
}
wwFrom(y, pubkey, no);
wwFrom(v, pubkey1, no);
if (wwIsZero(y, n) || wwCmp(y, qr->mod, n) >= 0 ||
wwIsZero(v, n) || wwCmp(v, qr->mod, n) >= 0)
{
blobClose(state);
return ERR_BAD_PUBKEY;
}
qrPower(y, y, u, m, qr, stack);
qrPower(v, v, x, m, qr, stack);
qrTo((octet*)y, y, qr, stack);
qrTo((octet*)v, v, qr, stack);
memCopy(sharekey, y, O_OF_B(params->n));
memXor2(sharekey, v, O_OF_B(params->n));
if (params->n % 8)
sharekey[params->n / 8] &= (octet)255 >> (8 - params->n % 8);
blobClose(state);
return ERR_OK;
}