#include "config.h" #include #include "tgl.h" #include "tools.h" static unsigned long long gcd (unsigned long long a, unsigned long long b) { return b ? gcd (b, a % b) : a; } static int check_prime (struct tgl_state *TLS, BIGNUM *p) { int r = BN_is_prime (p, BN_prime_checks, 0, TLS->BN_ctx, 0); ensure (r >= 0); return r; } // Complete set of checks see at https://core.telegram.org/mtproto/security_guidelines // Checks that (p,g) is acceptable pair for DH int tglmp_check_DH_params (struct tgl_state *TLS, BIGNUM *p, int g) { if (g < 2 || g > 7) { return -1; } if (BN_num_bits (p) != 2048) { return -1; } BIGNUM *t = BN_new (); BIGNUM *dh_g = BN_new (); ensure (BN_set_word (dh_g, 4 * g)); ensure (BN_mod (t, p, dh_g, TLS->BN_ctx)); int x = BN_get_word (t); assert (x >= 0 && x < 4 * g); BN_free (dh_g); int res = 0; switch (g) { case 2: if (x != 7) { res = -1; } break; case 3: if (x % 3 != 2) { res = -1; } break; case 4: break; case 5: if (x % 5 != 1 && x % 5 != 4) { res = -1; } break; case 6: if (x != 19 && x != 23) { res = -1; } break; case 7: if (x % 7 != 3 && x % 7 != 5 && x % 7 != 6) { res = -1; } break; } if (res < 0 || !check_prime (TLS, p)) { BN_free (t); return -1; } BIGNUM *b = BN_new (); ensure (BN_set_word (b, 2)); ensure (BN_div (t, 0, p, b, TLS->BN_ctx)); if (!check_prime (TLS, t)) { res = -1; } BN_free (b); BN_free (t); return res; } // checks that g_a is acceptable for DH int tglmp_check_g_a (struct tgl_state *TLS, BIGNUM *p, BIGNUM *g_a) { if (BN_num_bytes (g_a) > 256) { return -1; } if (BN_num_bits (g_a) < 2048 - 64) { return -1; } if (BN_cmp (p, g_a) <= 0) { return -1; } BIGNUM *dif = BN_new (); BN_sub (dif, p, g_a); if (BN_num_bits (dif) < 2048 - 64) { BN_free (dif); return -1; } BN_free (dif); return 0; } static unsigned long long BN2ull (BIGNUM *b) { if (sizeof (BN_ULONG) == 8) { return BN_get_word (b); } else { unsigned int tmp[2]; memset (tmp, 0, 8); BN_bn2bin (b, (void *)tmp); return __builtin_bswap32 (tmp[0]) * (1ll << 32) | __builtin_bswap32 (tmp[1]); } } static void ull2BN (BIGNUM *b, unsigned long long val) { if (sizeof (BN_ULONG) == 8 || val < (1ll << 32)) { BN_set_word (b, val); } else { unsigned int tmp[2]; tmp[0] = __builtin_bswap32 (val >> 32); tmp[1] = __builtin_bswap32 ((unsigned)val); BN_bin2bn ((void *)tmp, 8, b); } } int bn_factorize (BIGNUM *pq, BIGNUM *p, BIGNUM *q) { // Should work in any case // Rewrite this code unsigned long long what = BN2ull (pq); int it = 0; unsigned long long g = 0; int i; for (i = 0; i < 3 || it < 1000; i++) { int q = ((lrand48() & 15) + 17) % what; unsigned long long x = (long long)lrand48 () % (what - 1) + 1, y = x; int lim = 1 << (i + 18); int j; for (j = 1; j < lim; j++) { ++it; unsigned long long a = x, b = x, c = q; while (b) { if (b & 1) { c += a; if (c >= what) { c -= what; } } a += a; if (a >= what) { a -= what; } b >>= 1; } x = c; unsigned long long z = x < y ? what + x - y : x - y; g = gcd (z, what); if (g != 1) { break; } if (!(j & (j - 1))) { y = x; } } if (g > 1 && g < what) break; } assert (g > 1 && g < what); unsigned long long p1 = g; unsigned long long p2 = what / g; if (p1 > p2) { unsigned long long t = p1; p1 = p2; p2 = t; } ull2BN (p, p1); ull2BN (q, p2); return 0; }