mirror of
https://github.com/CloverHackyColor/CloverBootloader.git
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368 lines
12 KiB
C
368 lines
12 KiB
C
/*
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* Copyright 2018-2023 The OpenSSL Project Authors. All Rights Reserved.
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* Copyright (c) 2018-2019, Oracle and/or its affiliates. All rights reserved.
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*
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* Licensed under the Apache License 2.0 (the "License"). You may not use
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* this file except in compliance with the License. You can obtain a copy
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* in the file LICENSE in the source distribution or at
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* https://www.openssl.org/source/license.html
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*/
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/*
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* According to NIST SP800-131A "Transitioning the use of cryptographic
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* algorithms and key lengths" Generation of 1024 bit RSA keys are no longer
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* allowed for signatures (Table 2) or key transport (Table 5). In the code
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* below any attempt to generate 1024 bit RSA keys will result in an error (Note
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* that digital signature verification can still use deprecated 1024 bit keys).
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*
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* FIPS 186-4 relies on the use of the auxiliary primes p1, p2, q1 and q2 that
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* must be generated before the module generates the RSA primes p and q.
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* Table B.1 in FIPS 186-4 specifies RSA modulus lengths of 2048 and
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* 3072 bits only, the min/max total length of the auxiliary primes.
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* FIPS 186-5 Table A.1 includes an additional entry for 4096 which has been
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* included here.
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*/
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#include <stdio.h>
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#include <openssl/bn.h>
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#include "bn_local.h"
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#include "crypto/bn.h"
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#include "internal/nelem.h"
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#if BN_BITS2 == 64
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# define BN_DEF(lo, hi) (BN_ULONG)hi<<32|lo
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#else
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# define BN_DEF(lo, hi) lo, hi
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#endif
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/* 1 / sqrt(2) * 2^256, rounded up */
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static const BN_ULONG inv_sqrt_2_val[] = {
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BN_DEF(0x83339916UL, 0xED17AC85UL), BN_DEF(0x893BA84CUL, 0x1D6F60BAUL),
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BN_DEF(0x754ABE9FUL, 0x597D89B3UL), BN_DEF(0xF9DE6484UL, 0xB504F333UL)
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};
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const BIGNUM ossl_bn_inv_sqrt_2 = {
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(BN_ULONG *)inv_sqrt_2_val,
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OSSL_NELEM(inv_sqrt_2_val),
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OSSL_NELEM(inv_sqrt_2_val),
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0,
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BN_FLG_STATIC_DATA
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};
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/*
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* FIPS 186-5 Table A.1. "Min length of auxiliary primes p1, p2, q1, q2".
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* (FIPS 186-5 has an entry for >= 4096 bits).
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*
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* Params:
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* nbits The key size in bits.
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* Returns:
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* The minimum size of the auxiliary primes or 0 if nbits is invalid.
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*/
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static int bn_rsa_fips186_5_aux_prime_min_size(int nbits)
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{
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if (nbits >= 4096)
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return 201;
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if (nbits >= 3072)
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return 171;
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if (nbits >= 2048)
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return 141;
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return 0;
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}
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/*
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* FIPS 186-5 Table A.1 "Max of len(p1) + len(p2) and
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* len(q1) + len(q2) for p,q Probable Primes".
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* (FIPS 186-5 has an entry for >= 4096 bits).
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* Params:
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* nbits The key size in bits.
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* Returns:
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* The maximum length or 0 if nbits is invalid.
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*/
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static int bn_rsa_fips186_5_aux_prime_max_sum_size_for_prob_primes(int nbits)
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{
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if (nbits >= 4096)
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return 2030;
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if (nbits >= 3072)
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return 1518;
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if (nbits >= 2048)
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return 1007;
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return 0;
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}
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/*
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* Find the first odd integer that is a probable prime.
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*
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* See section FIPS 186-4 B.3.6 (Steps 4.2/5.2).
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*
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* Params:
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* Xp1 The passed in starting point to find a probably prime.
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* p1 The returned probable prime (first odd integer >= Xp1)
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* ctx A BN_CTX object.
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* cb An optional BIGNUM callback.
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* Returns: 1 on success otherwise it returns 0.
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*/
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static int bn_rsa_fips186_4_find_aux_prob_prime(const BIGNUM *Xp1,
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BIGNUM *p1, BN_CTX *ctx,
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BN_GENCB *cb)
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{
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int ret = 0;
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int i = 0;
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int tmp = 0;
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if (BN_copy(p1, Xp1) == NULL)
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return 0;
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BN_set_flags(p1, BN_FLG_CONSTTIME);
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/* Find the first odd number >= Xp1 that is probably prime */
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for(;;) {
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i++;
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BN_GENCB_call(cb, 0, i);
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/* MR test with trial division */
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tmp = BN_check_prime(p1, ctx, cb);
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if (tmp > 0)
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break;
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if (tmp < 0)
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goto err;
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/* Get next odd number */
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if (!BN_add_word(p1, 2))
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goto err;
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}
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BN_GENCB_call(cb, 2, i);
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ret = 1;
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err:
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return ret;
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}
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/*
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* Generate a probable prime (p or q).
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*
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* See FIPS 186-4 B.3.6 (Steps 4 & 5)
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*
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* Params:
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* p The returned probable prime.
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* Xpout An optionally returned random number used during generation of p.
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* p1, p2 The returned auxiliary primes. If NULL they are not returned.
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* Xp An optional passed in value (that is random number used during
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* generation of p).
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* Xp1, Xp2 Optional passed in values that are normally generated
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* internally. Used to find p1, p2.
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* nlen The bit length of the modulus (the key size).
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* e The public exponent.
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* ctx A BN_CTX object.
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* cb An optional BIGNUM callback.
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* Returns: 1 on success otherwise it returns 0.
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*/
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int ossl_bn_rsa_fips186_4_gen_prob_primes(BIGNUM *p, BIGNUM *Xpout,
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BIGNUM *p1, BIGNUM *p2,
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const BIGNUM *Xp, const BIGNUM *Xp1,
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const BIGNUM *Xp2, int nlen,
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const BIGNUM *e, BN_CTX *ctx,
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BN_GENCB *cb)
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{
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int ret = 0;
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BIGNUM *p1i = NULL, *p2i = NULL, *Xp1i = NULL, *Xp2i = NULL;
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int bitlen;
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if (p == NULL || Xpout == NULL)
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return 0;
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BN_CTX_start(ctx);
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p1i = (p1 != NULL) ? p1 : BN_CTX_get(ctx);
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p2i = (p2 != NULL) ? p2 : BN_CTX_get(ctx);
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Xp1i = (Xp1 != NULL) ? (BIGNUM *)Xp1 : BN_CTX_get(ctx);
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Xp2i = (Xp2 != NULL) ? (BIGNUM *)Xp2 : BN_CTX_get(ctx);
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if (p1i == NULL || p2i == NULL || Xp1i == NULL || Xp2i == NULL)
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goto err;
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bitlen = bn_rsa_fips186_5_aux_prime_min_size(nlen);
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if (bitlen == 0)
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goto err;
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/* (Steps 4.1/5.1): Randomly generate Xp1 if it is not passed in */
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if (Xp1 == NULL) {
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/* Set the top and bottom bits to make it odd and the correct size */
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if (!BN_priv_rand_ex(Xp1i, bitlen, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ODD,
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0, ctx))
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goto err;
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}
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/* (Steps 4.1/5.1): Randomly generate Xp2 if it is not passed in */
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if (Xp2 == NULL) {
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/* Set the top and bottom bits to make it odd and the correct size */
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if (!BN_priv_rand_ex(Xp2i, bitlen, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ODD,
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0, ctx))
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goto err;
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}
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/* (Steps 4.2/5.2) - find first auxiliary probable primes */
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if (!bn_rsa_fips186_4_find_aux_prob_prime(Xp1i, p1i, ctx, cb)
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|| !bn_rsa_fips186_4_find_aux_prob_prime(Xp2i, p2i, ctx, cb))
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goto err;
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/* (Table B.1) auxiliary prime Max length check */
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if ((BN_num_bits(p1i) + BN_num_bits(p2i)) >=
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bn_rsa_fips186_5_aux_prime_max_sum_size_for_prob_primes(nlen))
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goto err;
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/* (Steps 4.3/5.3) - generate prime */
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if (!ossl_bn_rsa_fips186_4_derive_prime(p, Xpout, Xp, p1i, p2i, nlen, e,
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ctx, cb))
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goto err;
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ret = 1;
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err:
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/* Zeroize any internally generated values that are not returned */
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if (p1 == NULL)
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BN_clear(p1i);
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if (p2 == NULL)
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BN_clear(p2i);
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if (Xp1 == NULL)
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BN_clear(Xp1i);
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if (Xp2 == NULL)
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BN_clear(Xp2i);
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BN_CTX_end(ctx);
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return ret;
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}
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/*
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* Constructs a probable prime (a candidate for p or q) using 2 auxiliary
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* prime numbers and the Chinese Remainder Theorem.
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*
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* See FIPS 186-4 C.9 "Compute a Probable Prime Factor Based on Auxiliary
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* Primes". Used by FIPS 186-4 B.3.6 Section (4.3) for p and Section (5.3) for q.
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*
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* Params:
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* Y The returned prime factor (private_prime_factor) of the modulus n.
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* X The returned random number used during generation of the prime factor.
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* Xin An optional passed in value for X used for testing purposes.
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* r1 An auxiliary prime.
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* r2 An auxiliary prime.
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* nlen The desired length of n (the RSA modulus).
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* e The public exponent.
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* ctx A BN_CTX object.
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* cb An optional BIGNUM callback object.
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* Returns: 1 on success otherwise it returns 0.
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* Assumptions:
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* Y, X, r1, r2, e are not NULL.
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*/
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int ossl_bn_rsa_fips186_4_derive_prime(BIGNUM *Y, BIGNUM *X, const BIGNUM *Xin,
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const BIGNUM *r1, const BIGNUM *r2,
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int nlen, const BIGNUM *e, BN_CTX *ctx,
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BN_GENCB *cb)
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{
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int ret = 0;
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int i, imax;
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int bits = nlen >> 1;
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BIGNUM *tmp, *R, *r1r2x2, *y1, *r1x2;
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BIGNUM *base, *range;
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BN_CTX_start(ctx);
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base = BN_CTX_get(ctx);
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range = BN_CTX_get(ctx);
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R = BN_CTX_get(ctx);
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tmp = BN_CTX_get(ctx);
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r1r2x2 = BN_CTX_get(ctx);
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y1 = BN_CTX_get(ctx);
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r1x2 = BN_CTX_get(ctx);
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if (r1x2 == NULL)
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goto err;
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if (Xin != NULL && BN_copy(X, Xin) == NULL)
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goto err;
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/*
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* We need to generate a random number X in the range
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* 1/sqrt(2) * 2^(nlen/2) <= X < 2^(nlen/2).
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* We can rewrite that as:
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* base = 1/sqrt(2) * 2^(nlen/2)
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* range = ((2^(nlen/2))) - (1/sqrt(2) * 2^(nlen/2))
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* X = base + random(range)
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* We only have the first 256 bit of 1/sqrt(2)
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*/
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if (Xin == NULL) {
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if (bits < BN_num_bits(&ossl_bn_inv_sqrt_2))
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goto err;
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if (!BN_lshift(base, &ossl_bn_inv_sqrt_2,
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bits - BN_num_bits(&ossl_bn_inv_sqrt_2))
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|| !BN_lshift(range, BN_value_one(), bits)
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|| !BN_sub(range, range, base))
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goto err;
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}
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if (!(BN_lshift1(r1x2, r1)
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/* (Step 1) GCD(2r1, r2) = 1 */
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&& BN_gcd(tmp, r1x2, r2, ctx)
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&& BN_is_one(tmp)
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/* (Step 2) R = ((r2^-1 mod 2r1) * r2) - ((2r1^-1 mod r2)*2r1) */
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&& BN_mod_inverse(R, r2, r1x2, ctx)
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&& BN_mul(R, R, r2, ctx) /* R = (r2^-1 mod 2r1) * r2 */
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&& BN_mod_inverse(tmp, r1x2, r2, ctx)
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&& BN_mul(tmp, tmp, r1x2, ctx) /* tmp = (2r1^-1 mod r2)*2r1 */
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&& BN_sub(R, R, tmp)
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/* Calculate 2r1r2 */
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&& BN_mul(r1r2x2, r1x2, r2, ctx)))
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goto err;
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/* Make positive by adding the modulus */
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if (BN_is_negative(R) && !BN_add(R, R, r1r2x2))
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goto err;
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/*
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* In FIPS 186-4 imax was set to 5 * nlen/2.
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* Analysis by Allen Roginsky (See https://csrc.nist.gov/CSRC/media/Publications/fips/186/4/final/documents/comments-received-fips186-4-december-2015.pdf
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* page 68) indicates this has a 1 in 2 million chance of failure.
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* The number has been updated to 20 * nlen/2 as used in
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* FIPS186-5 Appendix B.9 Step 9.
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*/
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imax = 20 * bits; /* max = 20/2 * nbits */
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for (;;) {
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if (Xin == NULL) {
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/*
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* (Step 3) Choose Random X such that
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* sqrt(2) * 2^(nlen/2-1) <= Random X <= (2^(nlen/2)) - 1.
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*/
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if (!BN_priv_rand_range_ex(X, range, 0, ctx) || !BN_add(X, X, base))
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goto err;
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}
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/* (Step 4) Y = X + ((R - X) mod 2r1r2) */
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if (!BN_mod_sub(Y, R, X, r1r2x2, ctx) || !BN_add(Y, Y, X))
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goto err;
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/* (Step 5) */
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i = 0;
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for (;;) {
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/* (Step 6) */
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if (BN_num_bits(Y) > bits) {
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if (Xin == NULL)
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break; /* Randomly Generated X so Go back to Step 3 */
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else
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goto err; /* X is not random so it will always fail */
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}
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BN_GENCB_call(cb, 0, 2);
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/* (Step 7) If GCD(Y-1) == 1 & Y is probably prime then return Y */
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if (BN_copy(y1, Y) == NULL
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|| !BN_sub_word(y1, 1)
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|| !BN_gcd(tmp, y1, e, ctx))
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goto err;
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if (BN_is_one(tmp)) {
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int rv = BN_check_prime(Y, ctx, cb);
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if (rv > 0)
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goto end;
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if (rv < 0)
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goto err;
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}
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/* (Step 8-10) */
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if (++i >= imax) {
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ERR_raise(ERR_LIB_BN, BN_R_NO_PRIME_CANDIDATE);
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goto err;
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}
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if (!BN_add(Y, Y, r1r2x2))
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goto err;
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}
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}
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end:
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ret = 1;
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BN_GENCB_call(cb, 3, 0);
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err:
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BN_clear(y1);
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BN_CTX_end(ctx);
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return ret;
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}
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