/* * Copyright (c) 2006 - 2007 Kungliga Tekniska Högskolan * (Royal Institute of Technology, Stockholm, Sweden). * 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. Neither the name of the Institute nor the names of its contributors * may be used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE INSTITUTE AND CONTRIBUTORS ``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 INSTITUTE 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. */ #include #include #include #include #include #ifdef HAVE_GMP #include static void BN2mpz(mpz_t s, const BIGNUM *bn) { size_t len; void *p; len = BN_num_bytes(bn); p = malloc(len); BN_bn2bin(bn, p); mpz_init(s); mpz_import(s, len, 1, 1, 1, 0, p); free(p); } static BIGNUM * mpz2BN(mpz_t s) { size_t size; BIGNUM *bn; void *p; mpz_export(NULL, &size, 1, 1, 1, 0, s); p = malloc(size); if (p == NULL && size != 0) return NULL; mpz_export(p, &size, 1, 1, 1, 0, s); bn = BN_bin2bn(p, size, NULL); free(p); return bn; } static int rsa_private_calculate(mpz_t in, mpz_t p, mpz_t q, mpz_t dmp1, mpz_t dmq1, mpz_t iqmp, mpz_t out) { mpz_t vp, vq, u; mpz_init(vp); mpz_init(vq); mpz_init(u); /* vq = c ^ (d mod (q - 1)) mod q */ /* vp = c ^ (d mod (p - 1)) mod p */ mpz_fdiv_r(vp, in, p); mpz_powm(vp, vp, dmp1, p); mpz_fdiv_r(vq, in, q); mpz_powm(vq, vq, dmq1, q); /* C2 = 1/q mod p (iqmp) */ /* u = (vp - vq)C2 mod p. */ mpz_sub(u, vp, vq); #if 0 if (mp_int_compare_zero(&u) < 0) mp_int_add(&u, p, &u); #endif mpz_mul(u, iqmp, u); mpz_fdiv_r(u, u, p); /* c ^ d mod n = vq + u q */ mpz_mul(u, q, u); mpz_add(out, u, vq); mpz_clear(vp); mpz_clear(vq); mpz_clear(u); return 0; } /* * */ static int gmp_rsa_public_encrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *p, *p0; size_t size, padlen; mpz_t enc, dec, n, e; if (padding != RSA_PKCS1_PADDING) return -1; size = RSA_size(rsa); if (size < RSA_PKCS1_PADDING_SIZE || size - RSA_PKCS1_PADDING_SIZE < flen) return -2; BN2mpz(n, rsa->n); BN2mpz(e, rsa->e); p = p0 = malloc(size - 1); if (p0 == NULL) { mpz_clear(e); mpz_clear(n); return -3; } padlen = size - flen - 3; assert(padlen >= 8); *p++ = 2; if (RAND_bytes(p, padlen) != 1) { mpz_clear(e); mpz_clear(n); free(p0); return -4; } while(padlen) { if (*p == 0) *p = 1; padlen--; p++; } *p++ = 0; memcpy(p, from, flen); p += flen; assert((p - p0) == size - 1); mpz_init(enc); mpz_init(dec); mpz_import(dec, size - 1, 1, 1, 1, 0, p0); free(p0); mpz_powm(enc, dec, e, n); mpz_clear(dec); mpz_clear(e); mpz_clear(n); { size_t ssize; mpz_export(to, &ssize, 1, 1, 1, 0, enc); assert(size >= ssize); size = ssize; } mpz_clear(enc); return size; } static int gmp_rsa_public_decrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *p; size_t size; mpz_t s, us, n, e; if (padding != RSA_PKCS1_PADDING) return -1; if (flen > RSA_size(rsa)) return -2; BN2mpz(n, rsa->n); BN2mpz(e, rsa->e); #if 0 /* Check that the exponent is larger then 3 */ if (mp_int_compare_value(&e, 3) <= 0) { mp_int_clear(&n); mp_int_clear(&e); return -3; } #endif mpz_init(s); mpz_init(us); mpz_import(s, flen, 1, 1, 1, 0, rk_UNCONST(from)); if (mpz_cmp(s, n) >= 0) { mpz_clear(n); mpz_clear(e); return -4; } mpz_powm(us, s, e, n); mpz_clear(s); mpz_clear(n); mpz_clear(e); p = to; mpz_export(p, &size, 1, 1, 1, 0, us); assert(size <= RSA_size(rsa)); mpz_clear(us); /* head zero was skipped by mp_int_to_unsigned */ if (*p == 0) return -6; if (*p != 1) return -7; size--; p++; while (size && *p == 0xff) { size--; p++; } if (size == 0 || *p != 0) return -8; size--; p++; memmove(to, p, size); return size; } static int gmp_rsa_private_encrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *p, *p0; size_t size; mpz_t in, out, n, e; if (padding != RSA_PKCS1_PADDING) return -1; size = RSA_size(rsa); if (size < RSA_PKCS1_PADDING_SIZE || size - RSA_PKCS1_PADDING_SIZE < flen) return -2; p0 = p = malloc(size); *p++ = 0; *p++ = 1; memset(p, 0xff, size - flen - 3); p += size - flen - 3; *p++ = 0; memcpy(p, from, flen); p += flen; assert((p - p0) == size); BN2mpz(n, rsa->n); BN2mpz(e, rsa->e); mpz_init(in); mpz_init(out); mpz_import(in, size, 1, 1, 1, 0, p0); free(p0); #if 0 if(mp_int_compare_zero(&in) < 0 || mp_int_compare(&in, &n) >= 0) { size = 0; goto out; } #endif if (rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) { mpz_t p, q, dmp1, dmq1, iqmp; BN2mpz(p, rsa->p); BN2mpz(q, rsa->q); BN2mpz(dmp1, rsa->dmp1); BN2mpz(dmq1, rsa->dmq1); BN2mpz(iqmp, rsa->iqmp); rsa_private_calculate(in, p, q, dmp1, dmq1, iqmp, out); mpz_clear(p); mpz_clear(q); mpz_clear(dmp1); mpz_clear(dmq1); mpz_clear(iqmp); } else { mpz_t d; BN2mpz(d, rsa->d); mpz_powm(out, in, d, n); mpz_clear(d); } { size_t ssize; mpz_export(to, &ssize, 1, 1, 1, 0, out); assert(size >= ssize); size = ssize; } mpz_clear(e); mpz_clear(n); mpz_clear(in); mpz_clear(out); return size; } static int gmp_rsa_private_decrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *ptr; size_t size; mpz_t in, out, n, e; if (padding != RSA_PKCS1_PADDING) return -1; size = RSA_size(rsa); if (flen > size) return -2; mpz_init(in); mpz_init(out); BN2mpz(n, rsa->n); BN2mpz(e, rsa->e); mpz_import(in, flen, 1, 1, 1, 0, from); if(mpz_cmp_ui(in, 0) < 0 || mpz_cmp(in, n) >= 0) { size = 0; goto out; } if (rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) { mpz_t p, q, dmp1, dmq1, iqmp; BN2mpz(p, rsa->p); BN2mpz(q, rsa->q); BN2mpz(dmp1, rsa->dmp1); BN2mpz(dmq1, rsa->dmq1); BN2mpz(iqmp, rsa->iqmp); rsa_private_calculate(in, p, q, dmp1, dmq1, iqmp, out); mpz_clear(p); mpz_clear(q); mpz_clear(dmp1); mpz_clear(dmq1); mpz_clear(iqmp); } else { mpz_t d; #if 0 if(mp_int_compare_zero(&in) < 0 || mp_int_compare(&in, &n) >= 0) return MP_RANGE; #endif BN2mpz(d, rsa->d); mpz_powm(out, in, d, n); mpz_clear(d); } ptr = to; { size_t ssize; mpz_export(ptr, &ssize, 1, 1, 1, 0, out); assert(size >= ssize); size = ssize; } /* head zero was skipped by mp_int_to_unsigned */ if (*ptr != 2) return -3; size--; ptr++; while (size && *ptr != 0) { size--; ptr++; } if (size == 0) return -4; size--; ptr++; memmove(to, ptr, size); out: mpz_clear(e); mpz_clear(n); mpz_clear(in); mpz_clear(out); return size; } static int random_num(mpz_t num, size_t len) { unsigned char *p; len = (len + 7) / 8; p = malloc(len); if (p == NULL) return 1; if (RAND_bytes(p, len) != 1) { free(p); return 1; } mpz_import(num, len, 1, 1, 1, 0, p); free(p); return 0; } static int gmp_rsa_generate_key(RSA *rsa, int bits, BIGNUM *e, BN_GENCB *cb) { mpz_t el, p, q, n, d, dmp1, dmq1, iqmp, t1, t2, t3; int counter, ret; if (bits < 789) return -1; ret = -1; mpz_init(el); mpz_init(p); mpz_init(q); mpz_init(n); mpz_init(d); mpz_init(dmp1); mpz_init(dmq1); mpz_init(iqmp); mpz_init(t1); mpz_init(t2); mpz_init(t3); BN2mpz(el, e); /* generate p and q so that p != q and bits(pq) ~ bits */ counter = 0; do { BN_GENCB_call(cb, 2, counter++); random_num(p, bits / 2 + 1); mpz_nextprime(p, p); mpz_sub_ui(t1, p, 1); mpz_gcd(t2, t1, el); } while(mpz_cmp_ui(t2, 1) != 0); BN_GENCB_call(cb, 3, 0); counter = 0; do { BN_GENCB_call(cb, 2, counter++); random_num(q, bits / 2 + 1); mpz_nextprime(q, q); mpz_sub_ui(t1, q, 1); mpz_gcd(t2, t1, el); } while(mpz_cmp_ui(t2, 1) != 0); /* make p > q */ if (mpz_cmp(p, q) < 0) mpz_swap(p, q); BN_GENCB_call(cb, 3, 1); /* calculate n, n = p * q */ mpz_mul(n, p, q); /* calculate d, d = 1/e mod (p - 1)(q - 1) */ mpz_sub_ui(t1, p, 1); mpz_sub_ui(t2, q, 1); mpz_mul(t3, t1, t2); mpz_invert(d, el, t3); /* calculate dmp1 dmp1 = d mod (p-1) */ mpz_mod(dmp1, d, t1); /* calculate dmq1 dmq1 = d mod (q-1) */ mpz_mod(dmq1, d, t2); /* calculate iqmp iqmp = 1/q mod p */ mpz_invert(iqmp, q, p); /* fill in RSA key */ rsa->e = mpz2BN(el); rsa->p = mpz2BN(p); rsa->q = mpz2BN(q); rsa->n = mpz2BN(n); rsa->d = mpz2BN(d); rsa->dmp1 = mpz2BN(dmp1); rsa->dmq1 = mpz2BN(dmq1); rsa->iqmp = mpz2BN(iqmp); ret = 1; mpz_clear(el); mpz_clear(p); mpz_clear(q); mpz_clear(n); mpz_clear(d); mpz_clear(dmp1); mpz_clear(dmq1); mpz_clear(iqmp); mpz_clear(t1); mpz_clear(t2); mpz_clear(t3); return ret; } static int gmp_rsa_init(RSA *rsa) { return 1; } static int gmp_rsa_finish(RSA *rsa) { return 1; } const RSA_METHOD hc_rsa_gmp_method = { "hcrypto GMP RSA", gmp_rsa_public_encrypt, gmp_rsa_public_decrypt, gmp_rsa_private_encrypt, gmp_rsa_private_decrypt, NULL, NULL, gmp_rsa_init, gmp_rsa_finish, 0, NULL, NULL, NULL, gmp_rsa_generate_key }; #endif /* HAVE_GMP */ /** * RSA implementation using Gnu Multipresistion Library. */ const RSA_METHOD * RSA_gmp_method(void) { #ifdef HAVE_GMP return &hc_rsa_gmp_method; #else return NULL; #endif }