/* * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the Apache License 2.0 (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */ /* * NB: These functions have been upgraded - the previous prototypes are in * dh_depr.c as wrappers to these ones. - Geoff */ #include #include "internal/cryptlib.h" #include #include "dh_locl.h" static int dh_builtin_genparams(DH *ret, int prime_len, int generator, BN_GENCB *cb); int DH_generate_parameters_ex(DH *ret, int prime_len, int generator, BN_GENCB *cb) { if (ret->meth->generate_params) return ret->meth->generate_params(ret, prime_len, generator, cb); return dh_builtin_genparams(ret, prime_len, generator, cb); } /*- * We generate DH parameters as follows * find a prime q which is prime_len/2 bits long. * p=(2*q)+1 or (p-1)/2 = q * For this case, g is a generator if * g^((p-1)/q) mod p != 1 for values of q which are the factors of p-1. * Since the factors of p-1 are q and 2, we just need to check * g^2 mod p != 1 and g^q mod p != 1. * * Having said all that, * there is another special case method for the generators 2, 3 and 5. * for 2, p mod 24 == 11 * for 3, p mod 12 == 5 <<<<< does not work for safe primes. * for 5, p mod 10 == 3 or 7 * * Thanks to Phil Karn for the pointers about the * special generators and for answering some of my questions. * * I've implemented the second simple method :-). * Since DH should be using a safe prime (both p and q are prime), * this generator function can take a very very long time to run. */ /* * Actually there is no reason to insist that 'generator' be a generator. * It's just as OK (and in some sense better) to use a generator of the * order-q subgroup. */ static int dh_builtin_genparams(DH *ret, int prime_len, int generator, BN_GENCB *cb) { BIGNUM *t1, *t2; int g, ok = -1; BN_CTX *ctx = NULL; ctx = BN_CTX_new(); if (ctx == NULL) goto err; BN_CTX_start(ctx); t1 = BN_CTX_get(ctx); t2 = BN_CTX_get(ctx); if (t2 == NULL) goto err; /* Make sure 'ret' has the necessary elements */ if (!ret->p && ((ret->p = BN_new()) == NULL)) goto err; if (!ret->g && ((ret->g = BN_new()) == NULL)) goto err; if (generator <= 1) { DHerr(DH_F_DH_BUILTIN_GENPARAMS, DH_R_BAD_GENERATOR); goto err; } if (generator == DH_GENERATOR_2) { if (!BN_set_word(t1, 24)) goto err; if (!BN_set_word(t2, 11)) goto err; g = 2; } else if (generator == DH_GENERATOR_5) { if (!BN_set_word(t1, 10)) goto err; if (!BN_set_word(t2, 3)) goto err; /* * BN_set_word(t3,7); just have to miss out on these ones :-( */ g = 5; } else { /* * in the general case, don't worry if 'generator' is a generator or * not: since we are using safe primes, it will generate either an * order-q or an order-2q group, which both is OK */ if (!BN_set_word(t1, 2)) goto err; if (!BN_set_word(t2, 1)) goto err; g = generator; } if (!BN_generate_prime_ex(ret->p, prime_len, 1, t1, t2, cb)) goto err; if (!BN_GENCB_call(cb, 3, 0)) goto err; if (!BN_set_word(ret->g, g)) goto err; ok = 1; err: if (ok == -1) { DHerr(DH_F_DH_BUILTIN_GENPARAMS, ERR_R_BN_LIB); ok = 0; } BN_CTX_end(ctx); BN_CTX_free(ctx); return ok; }