/* * Copyright (c) 2006 - 2007, 2010 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 #include #include #include "tommath.h" static int random_num(mp_int *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; } mp_read_unsigned_bin(num, p, len); free(p); return 0; } static void BN2mpz(mp_int *s, const BIGNUM *bn) { size_t len; void *p; len = BN_num_bytes(bn); p = malloc(len); BN_bn2bin(bn, p); mp_read_unsigned_bin(s, p, len); free(p); } static void setup_blind(mp_int *n, mp_int *b, mp_int *bi) { random_num(b, mp_count_bits(n)); mp_mod(b, n, b); mp_invmod(b, n, bi); } static void blind(mp_int *in, mp_int *b, mp_int *e, mp_int *n) { mp_int t1; mp_init(&t1); /* in' = (in * b^e) mod n */ mp_exptmod(b, e, n, &t1); mp_mul(&t1, in, in); mp_mod(in, n, in); mp_clear(&t1); } static void unblind(mp_int *out, mp_int *bi, mp_int *n) { /* out' = (out * 1/b) mod n */ mp_mul(out, bi, out); mp_mod(out, n, out); } static int ltm_rsa_private_calculate(mp_int * in, mp_int * p, mp_int * q, mp_int * dmp1, mp_int * dmq1, mp_int * iqmp, mp_int * out) { mp_int vp, vq, u; mp_init_multi(&vp, &vq, &u, NULL); /* vq = c ^ (d mod (q - 1)) mod q */ /* vp = c ^ (d mod (p - 1)) mod p */ mp_mod(in, p, &u); mp_exptmod(&u, dmp1, p, &vp); mp_mod(in, q, &u); mp_exptmod(&u, dmq1, q, &vq); /* C2 = 1/q mod p (iqmp) */ /* u = (vp - vq)C2 mod p. */ mp_sub(&vp, &vq, &u); if (mp_isneg(&u)) mp_add(&u, p, &u); mp_mul(&u, iqmp, &u); mp_mod(&u, p, &u); /* c ^ d mod n = vq + u q */ mp_mul(&u, q, &u); mp_add(&u, &vq, out); mp_clear_multi(&vp, &vq, &u, NULL); return 0; } /* * */ static int ltm_rsa_public_encrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *p, *p0; int res; size_t size, padlen; mp_int enc, dec, n, e; if (padding != RSA_PKCS1_PADDING) return -1; mp_init_multi(&n, &e, &enc, &dec, NULL); size = RSA_size(rsa); if (size < RSA_PKCS1_PADDING_SIZE || size - RSA_PKCS1_PADDING_SIZE < flen) { mp_clear_multi(&n, &e, &enc, &dec); return -2; } BN2mpz(&n, rsa->n); BN2mpz(&e, rsa->e); p = p0 = malloc(size - 1); if (p0 == NULL) { mp_clear_multi(&e, &n, &enc, &dec, NULL); return -3; } padlen = size - flen - 3; *p++ = 2; if (RAND_bytes(p, padlen) != 1) { mp_clear_multi(&e, &n, &enc, &dec, NULL); 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); mp_read_unsigned_bin(&dec, p0, size - 1); free(p0); res = mp_exptmod(&dec, &e, &n, &enc); mp_clear_multi(&dec, &e, &n, NULL); if (res != 0) { mp_clear(&enc); return -4; } { size_t ssize; ssize = mp_unsigned_bin_size(&enc); assert(size >= ssize); mp_to_unsigned_bin(&enc, to); size = ssize; } mp_clear(&enc); return size; } static int ltm_rsa_public_decrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *p; int res; size_t size; mp_int s, us, n, e; if (padding != RSA_PKCS1_PADDING) return -1; if (flen > RSA_size(rsa)) return -2; mp_init_multi(&e, &n, &s, &us, NULL); 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_clear_multi(&e, &n, &s, &us, NULL); return -3; } #endif mp_read_unsigned_bin(&s, rk_UNCONST(from), flen); if (mp_cmp(&s, &n) >= 0) { mp_clear_multi(&e, &n, &s, &us, NULL); return -4; } res = mp_exptmod(&s, &e, &n, &us); mp_clear_multi(&e, &n, &s, NULL); if (res != 0) { mp_clear(&us); return -5; } p = to; size = mp_unsigned_bin_size(&us); assert(size <= RSA_size(rsa)); mp_to_unsigned_bin(&us, p); mp_clear(&us); /* head zero was skipped by mp_to_unsigned_bin */ 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 ltm_rsa_private_encrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *p, *p0; int res; int size; mp_int in, out, n, e; mp_int bi, b; int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0; int do_unblind = 0; if (padding != RSA_PKCS1_PADDING) return -1; mp_init_multi(&e, &n, &in, &out, &b, &bi, NULL); 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); mp_read_unsigned_bin(&in, p0, size); free(p0); if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0) { size = -3; goto out; } if (blinding) { setup_blind(&n, &b, &bi); blind(&in, &b, &e, &n); do_unblind = 1; } if (rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) { mp_int p, q, dmp1, dmq1, iqmp; mp_init_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); BN2mpz(&p, rsa->p); BN2mpz(&q, rsa->q); BN2mpz(&dmp1, rsa->dmp1); BN2mpz(&dmq1, rsa->dmq1); BN2mpz(&iqmp, rsa->iqmp); res = ltm_rsa_private_calculate(&in, &p, &q, &dmp1, &dmq1, &iqmp, &out); mp_clear_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); if (res != 0) { size = -4; goto out; } } else { mp_int d; BN2mpz(&d, rsa->d); res = mp_exptmod(&in, &d, &n, &out); mp_clear(&d); if (res != 0) { size = -5; goto out; } } if (do_unblind) unblind(&out, &bi, &n); if (size > 0) { size_t ssize; ssize = mp_unsigned_bin_size(&out); assert(size >= ssize); mp_to_unsigned_bin(&out, to); size = ssize; } out: mp_clear_multi(&e, &n, &in, &out, &b, &bi, NULL); return size; } static int ltm_rsa_private_decrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *ptr; int res, size; mp_int in, out, n, e, b, bi; int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0; int do_unblind = 0; if (padding != RSA_PKCS1_PADDING) return -1; size = RSA_size(rsa); if (flen > size) return -2; mp_init_multi(&in, &n, &e, &out, &b, &bi, NULL); BN2mpz(&n, rsa->n); BN2mpz(&e, rsa->e); mp_read_unsigned_bin(&in, rk_UNCONST(from), flen); if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0) { size = -2; goto out; } if (blinding) { setup_blind(&n, &b, &bi); blind(&in, &b, &e, &n); do_unblind = 1; } if (rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) { mp_int p, q, dmp1, dmq1, iqmp; mp_init_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); BN2mpz(&p, rsa->p); BN2mpz(&q, rsa->q); BN2mpz(&dmp1, rsa->dmp1); BN2mpz(&dmq1, rsa->dmq1); BN2mpz(&iqmp, rsa->iqmp); res = ltm_rsa_private_calculate(&in, &p, &q, &dmp1, &dmq1, &iqmp, &out); mp_clear_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); if (res != 0) { size = -3; goto out; } } else { mp_int d; if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0) return -4; BN2mpz(&d, rsa->d); res = mp_exptmod(&in, &d, &n, &out); mp_clear(&d); if (res != 0) { size = -5; goto out; } } if (do_unblind) unblind(&out, &bi, &n); ptr = to; { size_t ssize; ssize = mp_unsigned_bin_size(&out); assert(size >= ssize); mp_to_unsigned_bin(&out, ptr); size = ssize; } /* head zero was skipped by mp_int_to_unsigned */ if (*ptr != 2) { size = -6; goto out; } size--; ptr++; while (size && *ptr != 0) { size--; ptr++; } if (size == 0) return -7; size--; ptr++; memmove(to, ptr, size); out: mp_clear_multi(&e, &n, &in, &out, &b, &bi, NULL); return size; } static BIGNUM * mpz2BN(mp_int *s) { size_t size; BIGNUM *bn; void *p; size = mp_unsigned_bin_size(s); p = malloc(size); if (p == NULL && size != 0) return NULL; mp_to_unsigned_bin(s, p); bn = BN_bin2bn(p, size, NULL); free(p); return bn; } #define CHECK(f, v) if ((f) != (v)) { goto out; } static int ltm_rsa_generate_key(RSA *rsa, int bits, BIGNUM *e, BN_GENCB *cb) { mp_int el, p, q, n, d, dmp1, dmq1, iqmp, t1, t2, t3; int counter, ret, bitsp; if (bits < 789) return -1; bitsp = (bits + 1) / 2; ret = -1; mp_init_multi(&el, &p, &q, &n, &d, &dmp1, &dmq1, &iqmp, &t1, &t2, &t3, NULL); BN2mpz(&el, e); /* generate p and q so that p != q and bits(pq) ~ bits */ counter = 0; do { BN_GENCB_call(cb, 2, counter++); CHECK(random_num(&p, bitsp), 0); CHECK(mp_find_prime(&p), MP_YES); mp_sub_d(&p, 1, &t1); mp_gcd(&t1, &el, &t2); } while(mp_cmp_d(&t2, 1) != 0); BN_GENCB_call(cb, 3, 0); counter = 0; do { BN_GENCB_call(cb, 2, counter++); CHECK(random_num(&q, bits - bitsp), 0); CHECK(mp_find_prime(&q), MP_YES); if (mp_cmp(&p, &q) == 0) /* don't let p and q be the same */ continue; mp_sub_d(&q, 1, &t1); mp_gcd(&t1, &el, &t2); } while(mp_cmp_d(&t2, 1) != 0); /* make p > q */ if (mp_cmp(&p, &q) < 0) { mp_int c; c = p; p = q; q = c; } BN_GENCB_call(cb, 3, 1); /* calculate n, n = p * q */ mp_mul(&p, &q, &n); /* calculate d, d = 1/e mod (p - 1)(q - 1) */ mp_sub_d(&p, 1, &t1); mp_sub_d(&q, 1, &t2); mp_mul(&t1, &t2, &t3); mp_invmod(&el, &t3, &d); /* calculate dmp1 dmp1 = d mod (p-1) */ mp_mod(&d, &t1, &dmp1); /* calculate dmq1 dmq1 = d mod (q-1) */ mp_mod(&d, &t2, &dmq1); /* calculate iqmp iqmp = 1/q mod p */ mp_invmod(&q, &p, &iqmp); /* 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; out: mp_clear_multi(&el, &p, &q, &n, &d, &dmp1, &dmq1, &iqmp, &t1, &t2, &t3, NULL); return ret; } static int ltm_rsa_init(RSA *rsa) { return 1; } static int ltm_rsa_finish(RSA *rsa) { return 1; } const RSA_METHOD hc_rsa_ltm_method = { "hcrypto ltm RSA", ltm_rsa_public_encrypt, ltm_rsa_public_decrypt, ltm_rsa_private_encrypt, ltm_rsa_private_decrypt, NULL, NULL, ltm_rsa_init, ltm_rsa_finish, 0, NULL, NULL, NULL, ltm_rsa_generate_key }; const RSA_METHOD * RSA_ltm_method(void) { return &hc_rsa_ltm_method; }