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add X9.31 prime generation routines from 0.9.8 branch
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/* bn_x931p.c */ | ||
/* Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL | ||
* project 2005. | ||
*/ | ||
/* ==================================================================== | ||
* Copyright (c) 2005 The OpenSSL Project. All rights reserved. | ||
* | ||
* 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 above 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 acknowledgment: | ||
* "This product includes software developed by the OpenSSL Project | ||
* for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)" | ||
* | ||
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | ||
* endorse or promote products derived from this software without | ||
* prior written permission. For written permission, please contact | ||
* licensing@OpenSSL.org. | ||
* | ||
* 5. Products derived from this software may not be called "OpenSSL" | ||
* nor may "OpenSSL" appear in their names without prior written | ||
* permission of the OpenSSL Project. | ||
* | ||
* 6. Redistributions of any form whatsoever must retain the following | ||
* acknowledgment: | ||
* "This product includes software developed by the OpenSSL Project | ||
* for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)" | ||
* | ||
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | ||
* EXPRESSED 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 OpenSSL PROJECT OR | ||
* ITS 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. | ||
* ==================================================================== | ||
* | ||
* This product includes cryptographic software written by Eric Young | ||
* (eay@cryptsoft.com). This product includes software written by Tim | ||
* Hudson (tjh@cryptsoft.com). | ||
* | ||
*/ | ||
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#include <stdio.h> | ||
#include <openssl/bn.h> | ||
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/* X9.31 routines for prime derivation */ | ||
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/* X9.31 prime derivation. This is used to generate the primes pi | ||
* (p1, p2, q1, q2) from a parameter Xpi by checking successive odd | ||
* integers. | ||
*/ | ||
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static int bn_x931_derive_pi(BIGNUM *pi, const BIGNUM *Xpi, BN_CTX *ctx, | ||
BN_GENCB *cb) | ||
{ | ||
int i = 0; | ||
if (!BN_copy(pi, Xpi)) | ||
return 0; | ||
if (!BN_is_odd(pi) && !BN_add_word(pi, 1)) | ||
return 0; | ||
for(;;) | ||
{ | ||
i++; | ||
BN_GENCB_call(cb, 0, i); | ||
/* NB 27 MR is specificed in X9.31 */ | ||
if (BN_is_prime_fasttest_ex(pi, 27, ctx, 1, cb)) | ||
break; | ||
if (!BN_add_word(pi, 2)) | ||
return 0; | ||
} | ||
BN_GENCB_call(cb, 2, i); | ||
return 1; | ||
} | ||
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/* This is the main X9.31 prime derivation function. From parameters | ||
* Xp1, Xp2 and Xp derive the prime p. If the parameters p1 or p2 are | ||
* not NULL they will be returned too: this is needed for testing. | ||
*/ | ||
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int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, | ||
const BIGNUM *Xp, const BIGNUM *Xp1, const BIGNUM *Xp2, | ||
const BIGNUM *e, BN_CTX *ctx, BN_GENCB *cb) | ||
{ | ||
int ret = 0; | ||
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BIGNUM *t, *p1p2, *pm1; | ||
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/* Only even e supported */ | ||
if (!BN_is_odd(e)) | ||
return 0; | ||
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BN_CTX_start(ctx); | ||
if (!p1) | ||
p1 = BN_CTX_get(ctx); | ||
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if (!p2) | ||
p2 = BN_CTX_get(ctx); | ||
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t = BN_CTX_get(ctx); | ||
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p1p2 = BN_CTX_get(ctx); | ||
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pm1 = BN_CTX_get(ctx); | ||
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if (!bn_x931_derive_pi(p1, Xp1, ctx, cb)) | ||
goto err; | ||
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if (!bn_x931_derive_pi(p2, Xp2, ctx, cb)) | ||
goto err; | ||
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if (!BN_mul(p1p2, p1, p2, ctx)) | ||
goto err; | ||
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/* First set p to value of Rp */ | ||
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if (!BN_mod_inverse(p, p2, p1, ctx)) | ||
goto err; | ||
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if (!BN_mul(p, p, p2, ctx)) | ||
goto err; | ||
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if (!BN_mod_inverse(t, p1, p2, ctx)) | ||
goto err; | ||
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if (!BN_mul(t, t, p1, ctx)) | ||
goto err; | ||
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if (!BN_sub(p, p, t)) | ||
goto err; | ||
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if (p->neg && !BN_add(p, p, p1p2)) | ||
goto err; | ||
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/* p now equals Rp */ | ||
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if (!BN_mod_sub(p, p, Xp, p1p2, ctx)) | ||
goto err; | ||
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if (!BN_add(p, p, Xp)) | ||
goto err; | ||
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/* p now equals Yp0 */ | ||
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for (;;) | ||
{ | ||
int i = 1; | ||
BN_GENCB_call(cb, 0, i++); | ||
if (!BN_copy(pm1, p)) | ||
goto err; | ||
if (!BN_sub_word(pm1, 1)) | ||
goto err; | ||
if (!BN_gcd(t, pm1, e, ctx)) | ||
goto err; | ||
if (BN_is_one(t) | ||
/* X9.31 specifies 8 MR and 1 Lucas test or any prime test | ||
* offering similar or better guarantees 50 MR is considerably | ||
* better. | ||
*/ | ||
&& BN_is_prime_fasttest_ex(p, 50, ctx, 1, cb)) | ||
break; | ||
if (!BN_add(p, p, p1p2)) | ||
goto err; | ||
} | ||
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BN_GENCB_call(cb, 3, 0); | ||
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ret = 1; | ||
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err: | ||
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BN_CTX_end(ctx); | ||
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return ret; | ||
} | ||
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/* Generate pair of paramters Xp, Xq for X9.31 prime generation. | ||
* Note: nbits paramter is sum of number of bits in both. | ||
*/ | ||
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int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx) | ||
{ | ||
BIGNUM *t; | ||
int i; | ||
/* Number of bits for each prime is of the form | ||
* 512+128s for s = 0, 1, ... | ||
*/ | ||
if ((nbits < 1024) || (nbits & 0xff)) | ||
return 0; | ||
nbits >>= 1; | ||
/* The random value Xp must be between sqrt(2) * 2^(nbits-1) and | ||
* 2^nbits - 1. By setting the top two bits we ensure that the lower | ||
* bound is exceeded. | ||
*/ | ||
if (!BN_rand(Xp, nbits, 1, 0)) | ||
return 0; | ||
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BN_CTX_start(ctx); | ||
t = BN_CTX_get(ctx); | ||
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for (i = 0; i < 1000; i++) | ||
{ | ||
if (!BN_rand(Xq, nbits, 1, 0)) | ||
return 0; | ||
/* Check that |Xp - Xq| > 2^(nbits - 100) */ | ||
BN_sub(t, Xp, Xq); | ||
if (BN_num_bits(t) > (nbits - 100)) | ||
break; | ||
} | ||
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BN_CTX_end(ctx); | ||
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if (i < 1000) | ||
return 1; | ||
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return 0; | ||
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} | ||
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/* Generate primes using X9.31 algorithm. Of the values p, p1, p2, Xp1 | ||
* and Xp2 only 'p' needs to be non-NULL. If any of the others are not NULL | ||
* the relevant parameter will be stored in it. | ||
* | ||
* Due to the fact that |Xp - Xq| > 2^(nbits - 100) must be satisfied Xp and Xq | ||
* are generated using the previous function and supplied as input. | ||
*/ | ||
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int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, | ||
BIGNUM *Xp1, BIGNUM *Xp2, | ||
const BIGNUM *Xp, | ||
const BIGNUM *e, BN_CTX *ctx, | ||
BN_GENCB *cb) | ||
{ | ||
int ret = 0; | ||
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BN_CTX_start(ctx); | ||
if (!Xp1) | ||
Xp1 = BN_CTX_get(ctx); | ||
if (!Xp2) | ||
Xp2 = BN_CTX_get(ctx); | ||
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if (!BN_rand(Xp1, 101, 0, 0)) | ||
goto error; | ||
if (!BN_rand(Xp2, 101, 0, 0)) | ||
goto error; | ||
if (!BN_X931_derive_prime_ex(p, p1, p2, Xp, Xp1, Xp2, e, ctx, cb)) | ||
goto error; | ||
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ret = 1; | ||
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error: | ||
BN_CTX_end(ctx); | ||
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return ret; | ||
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} | ||
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