X-Git-Url: https://bearssl.org/gitweb//home/git/?p=BearSSL;a=blobdiff_plain;f=src%2Frsa%2Frsa_i62_priv.c;fp=src%2Frsa%2Frsa_i62_priv.c;h=ffa03c27a544ae6cf98d7f86a70a26c5e334ac35;hp=0000000000000000000000000000000000000000;hb=8b2fe3add686db5cbd977e75d3bef02fa4c98c8f;hpb=90bc9406c31e03d09b3d835c3cbabfec83f4e94d diff --git a/src/rsa/rsa_i62_priv.c b/src/rsa/rsa_i62_priv.c new file mode 100644 index 0000000..ffa03c2 --- /dev/null +++ b/src/rsa/rsa_i62_priv.c @@ -0,0 +1,186 @@ +/* + * Copyright (c) 2016 Thomas Pornin + * + * Permission is hereby granted, free of charge, to any person obtaining + * a copy of this software and associated documentation files (the + * "Software"), to deal in the Software without restriction, including + * without limitation the rights to use, copy, modify, merge, publish, + * distribute, sublicense, and/or sell copies of the Software, and to + * permit persons to whom the Software is furnished to do so, subject to + * the following conditions: + * + * The above copyright notice and this permission notice shall be + * included in all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, + * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF + * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND + * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS + * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN + * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN + * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. + */ + +#include "inner.h" + +#if BR_INT128 || BR_UMUL128 + +#define U (2 + ((BR_MAX_RSA_FACTOR + 30) / 31)) +#define TLEN (4 * U) /* TLEN is counted in 64-bit words */ + +/* see bearssl_rsa.h */ +uint32_t +br_rsa_i62_private(unsigned char *x, const br_rsa_private_key *sk) +{ + const unsigned char *p, *q; + size_t plen, qlen; + size_t fwlen; + uint32_t p0i, q0i; + size_t xlen; + uint64_t tmp[TLEN]; + long z; + uint32_t *mp, *mq, *s1, *s2, *t1, *t2, *t3; + uint32_t r; + + /* + * Compute the actual lengths of p and q, in bytes. + * These lengths are not considered secret (we cannot really hide + * them anyway in constant-time code). + */ + p = sk->p; + plen = sk->plen; + while (plen > 0 && *p == 0) { + p ++; + plen --; + } + q = sk->q; + qlen = sk->qlen; + while (qlen > 0 && *q == 0) { + q ++; + qlen --; + } + + /* + * Compute the maximum factor length, in words. + */ + z = (long)(plen > qlen ? plen : qlen) << 3; + fwlen = 1; + while (z > 0) { + z -= 31; + fwlen ++; + } + + /* + * Convert size to 62-bit words. + */ + fwlen = (fwlen + 1) >> 1; + + /* + * We need to fit at least 6 values in the stack buffer. + */ + if (6 * fwlen > TLEN) { + return 0; + } + + /* + * Compute signature length (in bytes). + */ + xlen = (sk->n_bitlen + 7) >> 3; + + /* + * Decode q. + */ + mq = (uint32_t *)tmp; + br_i31_decode(mq, q, qlen); + + /* + * Compute s2 = x^dq mod q. + */ + q0i = br_i31_ninv31(mq[1]); + s2 = (uint32_t *)(tmp + fwlen); + br_i31_decode_reduce(s2, x, xlen, mq); + r = br_i62_modpow_opt(s2, sk->dq, sk->dqlen, mq, q0i, + tmp + 2 * fwlen, TLEN - 2 * fwlen); + + /* + * Decode p. + */ + mp = (uint32_t *)(tmp + 2 * fwlen); + br_i31_decode(mp, p, plen); + + /* + * Compute s1 = x^dp mod p. + */ + p0i = br_i31_ninv31(mp[1]); + s1 = (uint32_t *)(tmp + 3 * fwlen); + br_i31_decode_reduce(s1, x, xlen, mp); + r &= br_i62_modpow_opt(s1, sk->dp, sk->dplen, mp, p0i, + tmp + 4 * fwlen, TLEN - 4 * fwlen); + + /* + * Compute: + * h = (s1 - s2)*(1/q) mod p + * s1 is an integer modulo p, but s2 is modulo q. PKCS#1 is + * unclear about whether p may be lower than q (some existing, + * widely deployed implementations of RSA don't tolerate p < q), + * but we want to support that occurrence, so we need to use the + * reduction function. + * + * Since we use br_i31_decode_reduce() for iq (purportedly, the + * inverse of q modulo p), we also tolerate improperly large + * values for this parameter. + */ + t1 = (uint32_t *)(tmp + 4 * fwlen); + t2 = (uint32_t *)(tmp + 5 * fwlen); + br_i31_reduce(t2, s2, mp); + br_i31_add(s1, mp, br_i31_sub(s1, t2, 1)); + br_i31_to_monty(s1, mp); + br_i31_decode_reduce(t1, sk->iq, sk->iqlen, mp); + br_i31_montymul(t2, s1, t1, mp, p0i); + + /* + * h is now in t2. We compute the final result: + * s = s2 + q*h + * All these operations are non-modular. + * + * We need mq, s2 and t2. We use the t3 buffer as destination. + * The buffers mp, s1 and t1 are no longer needed, so we can + * reuse them for t3. Moreover, the first step of the computation + * is to copy s2 into t3, after which s2 is not needed. Right + * now, mq is in slot 0, s2 is in slot 1, and t2 is in slot 5. + * Therefore, we have ample room for t3 by simply using s2. + */ + t3 = s2; + br_i31_mulacc(t3, mq, t2); + + /* + * Encode the result. Since we already checked the value of xlen, + * we can just use it right away. + */ + br_i31_encode(x, xlen, t3); + + /* + * The only error conditions remaining at that point are invalid + * values for p and q (even integers). + */ + return p0i & q0i & r; +} + +/* see bearssl_rsa.h */ +br_rsa_private +br_rsa_i62_private_get(void) +{ + return &br_rsa_i62_private; +} + +#else + +/* see bearssl_rsa.h */ +br_rsa_private +br_rsa_i62_private_get(void) +{ + return 0; +} + +#endif