/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) * All rights reserved. * * This package is an SSL implementation written * by Eric Young (eay@cryptsoft.com). * The implementation was written so as to conform with Netscapes SSL. * * This library is free for commercial and non-commercial use as long as * the following conditions are aheared to. The following conditions * apply to all code found in this distribution, be it the RC4, RSA, * lhash, DES, etc., code; not just the SSL code. The SSL documentation * included with this distribution is covered by the same copyright terms * except that the holder is Tim Hudson (tjh@cryptsoft.com). * * Copyright remains Eric Young's, and as such any Copyright notices in * the code are not to be removed. * If this package is used in a product, Eric Young should be given attribution * as the author of the parts of the library used. * This can be in the form of a textual message at program startup or * in documentation (online or textual) provided with the package. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * 3. All advertising materials mentioning features or use of this software * must display the following acknowledgement: * "This product includes cryptographic software written by * Eric Young (eay@cryptsoft.com)" * The word 'cryptographic' can be left out if the rouines from the library * being used are not cryptographic related :-). * 4. If you include any Windows specific code (or a derivative thereof) from * the apps directory (application code) you must include an acknowledgement: * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" * * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. * * The licence and distribution terms for any publically available version or * derivative of this code cannot be changed. i.e. this code cannot simply be * copied and put under another distribution licence * [including the GNU Public Licence.] */ #include #include #include #include #include "internal.h" #define OPENSSL_DH_MAX_MODULUS_BITS 10000 static int generate_parameters(DH *ret, int prime_bits, int generator, BN_GENCB *cb) { /* We generate DH parameters as follows * find a prime q which is prime_bits/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. */ BIGNUM *t1, *t2; int g, ok = 0; 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 (t1 == NULL || 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) { OPENSSL_PUT_ERROR(DH, 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_bits, 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) { OPENSSL_PUT_ERROR(DH, ERR_R_BN_LIB); } if (ctx != NULL) { BN_CTX_end(ctx); BN_CTX_free(ctx); } return ok; } static int generate_key(DH *dh) { int ok = 0; int generate_new_key = 0; unsigned l; BN_CTX *ctx; BN_MONT_CTX *mont = NULL; BIGNUM *pub_key = NULL, *priv_key = NULL; BIGNUM local_priv; ctx = BN_CTX_new(); if (ctx == NULL) { goto err; } if (dh->priv_key == NULL) { priv_key = BN_new(); if (priv_key == NULL) { goto err; } generate_new_key = 1; } else { priv_key = dh->priv_key; } if (dh->pub_key == NULL) { pub_key = BN_new(); if (pub_key == NULL) { goto err; } } else { pub_key = dh->pub_key; } mont = BN_MONT_CTX_set_locked(&dh->method_mont_p, &dh->method_mont_p_lock, dh->p, ctx); if (!mont) { goto err; } if (generate_new_key) { if (dh->q) { do { if (!BN_rand_range(priv_key, dh->q)) { goto err; } } while (BN_is_zero(priv_key) || BN_is_one(priv_key)); } else { /* secret exponent length */ DH_check_standard_parameters(dh); l = dh->priv_length ? dh->priv_length : BN_num_bits(dh->p) - 1; if (!BN_rand(priv_key, l, 0, 0)) { goto err; } } } BN_with_flags(&local_priv, priv_key, BN_FLG_CONSTTIME); if (!BN_mod_exp_mont(pub_key, dh->g, &local_priv, dh->p, ctx, mont)) { goto err; } dh->pub_key = pub_key; dh->priv_key = priv_key; ok = 1; err: if (ok != 1) { OPENSSL_PUT_ERROR(DH, ERR_R_BN_LIB); } if (dh->pub_key == NULL) { BN_free(pub_key); } if (dh->priv_key == NULL) { BN_free(priv_key); } BN_CTX_free(ctx); return ok; } static int compute_key(DH *dh, unsigned char *out, const BIGNUM *pub_key) { BN_CTX *ctx = NULL; BN_MONT_CTX *mont = NULL; BIGNUM *shared_key; int ret = -1; int check_result; BIGNUM local_priv; if (BN_num_bits(dh->p) > OPENSSL_DH_MAX_MODULUS_BITS) { OPENSSL_PUT_ERROR(DH, DH_R_MODULUS_TOO_LARGE); goto err; } ctx = BN_CTX_new(); if (ctx == NULL) { goto err; } BN_CTX_start(ctx); shared_key = BN_CTX_get(ctx); if (shared_key == NULL) { goto err; } if (dh->priv_key == NULL) { OPENSSL_PUT_ERROR(DH, DH_R_NO_PRIVATE_VALUE); goto err; } mont = BN_MONT_CTX_set_locked(&dh->method_mont_p, &dh->method_mont_p_lock, dh->p, ctx); if (!mont) { goto err; } if (!DH_check_pub_key(dh, pub_key, &check_result) || check_result) { OPENSSL_PUT_ERROR(DH, DH_R_INVALID_PUBKEY); goto err; } BN_with_flags(&local_priv, dh->priv_key, BN_FLG_CONSTTIME); if (!BN_mod_exp_mont(shared_key, pub_key, &local_priv, dh->p, ctx, mont)) { OPENSSL_PUT_ERROR(DH, ERR_R_BN_LIB); goto err; } ret = BN_bn2bin(shared_key, out); err: if (ctx != NULL) { BN_CTX_end(ctx); BN_CTX_free(ctx); } return ret; } const struct dh_method DH_default_method = { { 0 /* references */, 1 /* is_static */, }, NULL /* app_data */, NULL /* init */, NULL /* finish */, generate_parameters, generate_key, compute_key, };