/* * 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 "tommath.h" #define CHECK(f) \ do { where = __LINE__ + 1; if (ret == MP_OKAY && ((ret = f)) != MP_OKAY) { goto out; } } while (0) #define FIRST(e) do { ret = (e); } while (0) #define FIRST_ALLOC(e) \ do { where = __LINE__; ret = ((e)) ? MP_OKAY : MP_MEM; } while (0) #define THEN_MP(e) \ do { where = __LINE__ + 1; if (ret == MP_OKAY) ret = (e); } while (0) #define THEN_IF_MP(cond, e) \ do { where = __LINE__ + 1; if (ret == MP_OKAY && (cond)) ret = (e); } while (0) #define THEN_IF_VOID(cond, e) \ do { where = __LINE__ + 1; if (ret == MP_OKAY && (cond)) e; } while (0) #define THEN_VOID(e) \ do { where = __LINE__ + 1; if (ret == MP_OKAY) e; } while (0) #define THEN_ALLOC(e) \ do { where = __LINE__ + 1; if (ret == MP_OKAY) ret = ((e)) ? MP_OKAY : MP_MEM; } while (0) static mp_err random_num(mp_int *num, size_t len) { unsigned char *p; mp_err ret = MP_MEM; len = (len + 7) / 8; /* bits to bytes */ if ((p = malloc(len)) && RAND_bytes(p, len) != 1) ret = MP_ERR; if (p) ret = mp_from_ubin(num, p, len); free(p); return ret; } static mp_err BN2mpz(mp_int *s, const BIGNUM *bn) { size_t len; mp_err ret = MP_MEM; void *p; len = BN_num_bytes(bn); p = malloc(len); if (p) { BN_bn2bin(bn, p); ret = mp_from_ubin(s, p, len); } free(p); return ret; } static mp_err setup_blind(mp_int *n, mp_int *b, mp_int *bi) { mp_err ret; ret = random_num(b, mp_count_bits(n)); if (ret == MP_OKAY) ret = mp_mod(b, n, b); if (ret == MP_OKAY) ret = mp_invmod(b, n, bi); return ret; } static mp_err blind(mp_int *in, mp_int *b, mp_int *e, mp_int *n) { mp_err ret; mp_int t1; ret = mp_init(&t1); /* in' = (in * b^e) mod n */ if (ret == MP_OKAY) ret = mp_exptmod(b, e, n, &t1); if (ret == MP_OKAY) ret = mp_mul(&t1, in, in); if (ret == MP_OKAY) ret = mp_mod(in, n, in); mp_clear(&t1); return ret; } static mp_err unblind(mp_int *out, mp_int *bi, mp_int *n) { mp_err ret; /* out' = (out * 1/b) mod n */ ret = mp_mul(out, bi, out); if (ret == MP_OKAY) ret = mp_mod(out, n, out); return ret; } static mp_err 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_err ret; mp_int vp, vq, u; int where HEIMDAL_UNUSED_ATTRIBUTE = 0; FIRST(mp_init_multi(&vp, &vq, &u, NULL)); /* vq = c ^ (d mod (q - 1)) mod q */ /* vp = c ^ (d mod (p - 1)) mod p */ THEN_MP(mp_mod(in, p, &u)); THEN_MP(mp_exptmod(&u, dmp1, p, &vp)); THEN_MP(mp_mod(in, q, &u)); THEN_MP(mp_exptmod(&u, dmq1, q, &vq)); /* C2 = 1/q mod p (iqmp) */ /* u = (vp - vq)C2 mod p. */ THEN_MP(mp_sub(&vp, &vq, &u)); THEN_IF_MP(mp_isneg(&u), mp_add(&u, p, &u)); THEN_MP(mp_mul(&u, iqmp, &u)); THEN_MP(mp_mod(&u, p, &u)); /* c ^ d mod n = vq + u q */ THEN_MP(mp_mul(&u, q, &u)); THEN_MP(mp_add(&u, &vq, out)); mp_clear_multi(&vp, &vq, &u, NULL); return ret; } /* * */ static int ltm_rsa_public_encrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *p = NULL, *p0 = NULL; size_t size, ssize = 0, padlen; mp_int enc, dec, n, e; mp_err ret; int where = __LINE__; if (padding != RSA_PKCS1_PADDING) return -1; FIRST(mp_init_multi(&n, &e, &enc, &dec, NULL)); size = RSA_size(rsa); THEN_IF_MP((size < RSA_PKCS1_PADDING_SIZE || size - RSA_PKCS1_PADDING_SIZE < flen), MP_ERR); THEN_MP(BN2mpz(&n, rsa->n)); THEN_MP(BN2mpz(&e, rsa->e)); THEN_IF_MP((mp_cmp_d(&e, 3) == MP_LT), MP_ERR); THEN_ALLOC((p = p0 = malloc(size - 1))); if (ret == MP_OKAY) { padlen = size - flen - 3; *p++ = 2; } THEN_IF_MP((RAND_bytes(p, padlen) != 1), MP_ERR); if (ret == MP_OKAY) { while (padlen) { if (*p == 0) *p = 1; padlen--; p++; } *p++ = 0; memcpy(p, from, flen); p += flen; assert((p - p0) == size - 1); } THEN_MP(mp_from_ubin(&dec, p0, size - 1)); THEN_MP(mp_exptmod(&dec, &e, &n, &enc)); THEN_VOID(ssize = mp_ubin_size(&enc)); THEN_VOID(assert(size >= ssize)); THEN_MP(mp_to_ubin(&enc, to, SIZE_MAX, NULL)); THEN_VOID(size = ssize); mp_clear_multi(&dec, &e, &n, NULL); mp_clear(&enc); free(p0); return ret == MP_OKAY ? size : -where; } static int ltm_rsa_public_decrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *p = NULL; mp_err ret; size_t size = 0; mp_int s, us, n, e; int where = __LINE__; if (padding != RSA_PKCS1_PADDING) return -1; if (flen > RSA_size(rsa)) return -2; FIRST(mp_init_multi(&e, &n, &s, &us, NULL)); THEN_MP(BN2mpz(&n, rsa->n)); THEN_MP(BN2mpz(&e, rsa->e)); THEN_MP((mp_cmp_d(&e, 3) == MP_LT) ? MP_ERR : MP_OKAY); THEN_MP(mp_from_ubin(&s, rk_UNCONST(from), (size_t)flen)); THEN_MP((mp_cmp(&s, &n) >= 0) ? MP_ERR : MP_OKAY); THEN_MP(mp_exptmod(&s, &e, &n, &us)); THEN_VOID(p = to); THEN_VOID(size = mp_ubin_size(&us)); THEN_VOID(assert(size <= RSA_size(rsa))); THEN_MP(mp_to_ubin(&us, p, SIZE_MAX, NULL)); mp_clear_multi(&e, &n, &s, NULL); mp_clear(&us); if (ret != MP_OKAY || size == 0) return -where; /* head zero was skipped by mp_to_unsigned_bin */ if (*p == 0) return -where; if (*p != 1) return -(where + 1); size--; p++; while (size && *p == 0xff) { size--; p++; } if (size == 0 || *p != 0) return -(where + 2); 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 *ptr = NULL, *ptr0 = NULL; mp_err ret; mp_int in, out, n, e; mp_int bi, b; size_t size; int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0; int do_unblind = 0; int where = __LINE__; if (padding != RSA_PKCS1_PADDING) return -1; FIRST(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; THEN_ALLOC((ptr0 = ptr = malloc(size))); if (ret == MP_OKAY) { *ptr++ = 0; *ptr++ = 1; memset(ptr, 0xff, size - flen - 3); ptr += size - flen - 3; *ptr++ = 0; memcpy(ptr, from, flen); ptr += flen; assert((ptr - ptr0) == size); } THEN_MP(BN2mpz(&n, rsa->n)); THEN_MP(BN2mpz(&e, rsa->e)); THEN_IF_MP((mp_cmp_d(&e, 3) == MP_LT), MP_ERR); THEN_MP(mp_from_ubin(&in, ptr0, size)); free(ptr0); THEN_IF_MP((mp_isneg(&in) || mp_cmp(&in, &n) >= 0), MP_ERR); if (blinding) { THEN_MP(setup_blind(&n, &b, &bi)); THEN_MP(blind(&in, &b, &e, &n)); do_unblind = 1; } if (ret == MP_OKAY && rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) { mp_int p, q, dmp1, dmq1, iqmp; FIRST(mp_init_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL)); THEN_MP(BN2mpz(&p, rsa->p)); THEN_MP(BN2mpz(&q, rsa->q)); THEN_MP(BN2mpz(&dmp1, rsa->dmp1)); THEN_MP(BN2mpz(&dmq1, rsa->dmq1)); THEN_MP(BN2mpz(&iqmp, rsa->iqmp)); THEN_MP(ltm_rsa_private_calculate(&in, &p, &q, &dmp1, &dmq1, &iqmp, &out)); mp_clear_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); if (ret != MP_OKAY) goto out; } else if (ret == MP_OKAY) { mp_int d; THEN_MP(BN2mpz(&d, rsa->d)); THEN_MP(mp_exptmod(&in, &d, &n, &out)); mp_clear(&d); if (ret != MP_OKAY) goto out; } if (do_unblind) THEN_MP(unblind(&out, &bi, &n)); if (ret == MP_OKAY && size > 0) { size_t ssize; ssize = mp_ubin_size(&out); assert(size >= ssize); THEN_MP(mp_to_ubin(&out, to, SIZE_MAX, NULL)); size = ssize; } out: mp_clear_multi(&e, &n, &in, &out, &b, &bi, NULL); return ret == MP_OKAY ? size : -where; } static int ltm_rsa_private_decrypt(int flen, const unsigned char* from, unsigned char* to, RSA* rsa, int padding) { unsigned char *ptr; size_t size; mp_err ret; mp_int in, out, n, e, b, bi; int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0; int do_unblind = 0; int where = __LINE__; if (padding != RSA_PKCS1_PADDING) return -1; size = RSA_size(rsa); if (flen > size) return -2; FIRST(mp_init_multi(&in, &n, &e, &out, &b, &bi, NULL)); THEN_MP(BN2mpz(&n, rsa->n)); THEN_MP(BN2mpz(&e, rsa->e)); THEN_IF_MP((mp_cmp_d(&e, 3) == MP_LT), MP_ERR); THEN_MP(mp_from_ubin(&in, rk_UNCONST(from), flen)); THEN_IF_MP((mp_isneg(&in) || mp_cmp(&in, &n) >= 0), MP_ERR); if (blinding) { THEN_MP(setup_blind(&n, &b, &bi)); THEN_MP(blind(&in, &b, &e, &n)); do_unblind = 1; } if (ret == MP_OKAY && rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) { mp_int p, q, dmp1, dmq1, iqmp; THEN_MP(mp_init_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL)); THEN_MP(BN2mpz(&p, rsa->p)); THEN_MP(BN2mpz(&q, rsa->q)); THEN_MP(BN2mpz(&dmp1, rsa->dmp1)); THEN_MP(BN2mpz(&dmq1, rsa->dmq1)); THEN_MP(BN2mpz(&iqmp, rsa->iqmp)); THEN_MP(ltm_rsa_private_calculate(&in, &p, &q, &dmp1, &dmq1, &iqmp, &out)); mp_clear_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); if (ret != MP_OKAY) goto out; } else if (ret == MP_OKAY) { mp_int d; THEN_IF_MP((mp_isneg(&in) || mp_cmp(&in, &n) >= 0), MP_ERR); THEN_MP(BN2mpz(&d, rsa->d)); THEN_MP(mp_exptmod(&in, &d, &n, &out)); mp_clear(&d); if (ret != MP_OKAY) goto out; } if (do_unblind) THEN_MP(unblind(&out, &bi, &n)); if (ret == MP_OKAY) { size_t ssize; ptr = to; ssize = mp_ubin_size(&out); assert(size >= ssize); ret = mp_to_ubin(&out, ptr, SIZE_MAX, NULL); if (ret != MP_OKAY) goto out; size = ssize; /* head zero was skipped by mp_int_to_unsigned */ if (*ptr != 2) { where = __LINE__; goto out; } size--; ptr++; while (size && *ptr != 0) { size--; ptr++; } if (size == 0) { where = __LINE__; goto out; } size--; ptr++; memmove(to, ptr, size); } out: mp_clear_multi(&e, &n, &in, &out, &b, &bi, NULL); return (ret == MP_OKAY) ? size : -where; } static BIGNUM * mpz2BN(mp_int *s) { size_t size; BIGNUM *bn; mp_err ret; void *p; size = mp_ubin_size(s); if (size == 0) return NULL; p = malloc(size); if (p == NULL) return NULL; ret = mp_to_ubin(s, p, SIZE_MAX, NULL); if (ret == MP_OKAY) bn = BN_bin2bn(p, size, NULL); free(p); return (ret == MP_OKAY) ? bn : NULL; } enum gen_pq_type { GEN_P, GEN_Q }; static int gen_p(int bits, enum gen_pq_type pq_type, uint8_t nibble_pair, mp_int *p, mp_int *e, BN_GENCB *cb) { unsigned char *buf = NULL; mp_bool res; mp_err ret = MP_MEM; mp_int t1, t2; size_t len = (bits + 7) / 8; int trials = mp_prime_rabin_miller_trials(bits); int counter = 0; int where HEIMDAL_UNUSED_ATTRIBUTE = 0; FIRST(mp_init_multi(&t1, &t2, NULL)); if (ret == MP_OKAY && (buf = malloc(len))) do { BN_GENCB_call(cb, 2, counter++); /* random bytes */ ret = (RAND_bytes(buf, len) == 1) ? MP_OKAY : MP_ERR; /* make it odd */ buf[len - 1] |= 1; /* ensure the high nibble of the product is at least 128 */ if (pq_type == GEN_P) buf[0] = (nibble_pair & 0xf0) | (buf[0] & 0x0f); else buf[0] = ((nibble_pair & 0x0f) << 4) | (buf[0] & 0x0f); /* load number */ THEN_MP(mp_from_ubin(p, buf, len)); /* test primality; repeat if not */ THEN_MP(mp_prime_is_prime(p, trials, &res)); if (ret == MP_OKAY && res == MP_NO) continue; /* check gcd(p - 1, e) == 1 */ THEN_MP(mp_sub_d(p, 1, &t1)); THEN_MP(mp_gcd(&t1, e, &t2)); } while (ret == MP_OKAY && mp_cmp_d(&t2, 1) != MP_EQ); mp_clear_multi(&t1, &t2, NULL); free(buf); return ret; } static uint8_t pq_high_nibble_pairs[] = { 0x9f, 0xad, 0xae, 0xaf, 0xbc, 0xbd, 0xbe, 0xbf, 0xcb, 0xcc, 0xcd, 0xce, 0xcf, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf, 0xea, 0xeb, 0xec, 0xed, 0xee, 0xef, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff }; 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; mp_err ret; uint8_t high_nibbles = 0; int bitsp; int where = __LINE__; if (bits < 789) return -1; bitsp = (bits + 1) / 2; FIRST(mp_init_multi(&el, &p, &q, &n, &d, &dmp1, &dmq1, &iqmp, &t1, &t2, &t3, NULL)); THEN_MP(BN2mpz(&el, e)); /* * randomly pick a pair of high nibbles for p and q to ensure the product's * high nibble is at least 128 */ if (ret == MP_OKAY) ret = (RAND_bytes(&high_nibbles, 1) == 1) ? MP_OKAY : MP_ERR; high_nibbles %= sizeof(pq_high_nibble_pairs); high_nibbles = pq_high_nibble_pairs[high_nibbles]; /* generate p and q so that p != q and bits(pq) ~ bits */ THEN_MP(gen_p(bitsp, GEN_P, high_nibbles, &p, &el, cb)); BN_GENCB_call(cb, 3, 0); THEN_MP(gen_p(bitsp, GEN_Q, high_nibbles, &q, &el, cb)); /* 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 */ THEN_MP(mp_mul(&p, &q, &n)); /* calculate d, d = 1/e mod (p - 1)(q - 1) */ THEN_MP(mp_sub_d(&p, 1, &t1)); THEN_MP(mp_sub_d(&q, 1, &t2)); THEN_MP(mp_mul(&t1, &t2, &t3)); THEN_MP(mp_invmod(&el, &t3, &d)); /* calculate dmp1 dmp1 = d mod (p-1) */ THEN_MP(mp_mod(&d, &t1, &dmp1)); /* calculate dmq1 dmq1 = d mod (q-1) */ THEN_MP(mp_mod(&d, &t2, &dmq1)); /* calculate iqmp iqmp = 1/q mod p */ THEN_MP(mp_invmod(&q, &p, &iqmp)); /* fill in RSA key */ if (ret == MP_OKAY) { 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); } mp_clear_multi(&el, &p, &q, &n, &d, &dmp1, &dmq1, &iqmp, &t1, &t2, &t3, NULL); return (ret == MP_OKAY) ? 1 : -where; } 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; }