/** * @file rsa_private_key.c * * @brief Implementation of rsa_private_key_t. * */ /* * Copyright (C) 2005 Jan Hutter, Martin Willi * Hochschule fuer Technik Rapperswil * * This program is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License as published by the * Free Software Foundation; either version 2 of the License, or (at your * option) any later version. See . * * This program is distributed in the hope that it will be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * for more details. */ #include #include "rsa_private_key.h" #include #include /* * Oids for hash algorithms are defined in * rsa_public_key.c. */ extern u_int8_t md2_oid[18]; extern u_int8_t md5_oid[18]; extern u_int8_t sha1_oid[15]; extern u_int8_t sha256_oid[19]; extern u_int8_t sha384_oid[19]; extern u_int8_t sha512_oid[19]; /* asn1_module_t rsa_private_key_module = { {ASN1_SEQUENCE, 0, 0, 0}, { ASN1_INTEGER, 0, offsetof(private_rsa_private_key, version), 0}, { ASN1_INTEGER, ASN1_MPZ, offsetof(private_rsa_private_key, n), 0}, { ASN1_INTEGER, ASN1_MPZ, offsetof(private_rsa_private_key, e), 0}, { ASN1_INTEGER, ASN1_MPZ, offsetof(private_rsa_private_key, d), 0}, { ASN1_INTEGER, ASN1_MPZ, offsetof(private_rsa_private_key, p), 0}, { ASN1_INTEGER, ASN1_MPZ, offsetof(private_rsa_private_key, q), 0}, { ASN1_INTEGER, ASN1_MPZ, offsetof(private_rsa_private_key, exp1), 0}, { ASN1_INTEGER, ASN1_MPZ, offsetof(private_rsa_private_key, exp2), 0}, { ASN1_INTEGER, ASN1_MPZ, offsetof(private_rsa_private_key, coeff), 0}, {ASN1_END, 0, 0, 0}, };*/ /** * Public exponent to use for key generation. */ #define PUBLIC_EXPONENT 0x10001 typedef struct private_rsa_private_key_t private_rsa_private_key_t; /** * Private data of a rsa_private_key_t object. */ struct private_rsa_private_key_t { /** * Public interface for this signer. */ rsa_private_key_t public; /** * Version of key, as encoded in PKCS#1 */ u_int version; /** * Is the key already set ? */ bool is_key_set; /** * Public modulus. */ mpz_t n; /** * Public exponent. */ mpz_t e; /** * Private prime 1. */ mpz_t p; /** * Private Prime 2. */ mpz_t q; /** * Private exponent. */ mpz_t d; /** * Private exponent 1. */ mpz_t exp1; /** * Private exponent 2. */ mpz_t exp2; /** * Private coefficient. */ mpz_t coeff; /** * Keysize in bytes. */ size_t k; /** * @brief Implements the RSADP algorithm specified in PKCS#1. * * @param this calling object * @param data data to process * @return processed data */ chunk_t (*rsadp) (private_rsa_private_key_t *this, chunk_t data); /** * @brief Implements the RSASP1 algorithm specified in PKCS#1. * @param this calling object * @param data data to process * @return processed data */ chunk_t (*rsasp1) (private_rsa_private_key_t *this, chunk_t data); /** * @brief Generate a prime value. * * @param this calling object * @param prime_size size of the prime, in bytes * @param[out] prime uninitialized mpz */ void (*compute_prime) (private_rsa_private_key_t *this, size_t prime_size, mpz_t *prime); }; /** * Implementation of private_rsa_private_key_t.compute_prime. */ static void compute_prime(private_rsa_private_key_t *this, size_t prime_size, mpz_t *prime) { randomizer_t *randomizer; chunk_t random_bytes; randomizer = randomizer_create(); mpz_init(*prime); do { randomizer->allocate_random_bytes(randomizer, prime_size, &random_bytes); /* make sure most significant bit is set */ random_bytes.ptr[0] = random_bytes.ptr[0] | 0x80; /* convert chunk to mpz value */ mpz_import(*prime, random_bytes.len, 1, 1, 1, 0, random_bytes.ptr); /* get next prime */ mpz_nextprime (*prime, *prime); allocator_free(random_bytes.ptr); } /* check if it isnt too large */ while (((mpz_sizeinbase(*prime, 2) + 7) / 8) > prime_size); randomizer->destroy(randomizer); } /** * Implementation of private_rsa_private_key_t.rsadp and private_rsa_private_key_t.rsasp1. */ static chunk_t rsadp(private_rsa_private_key_t *this, chunk_t data) { mpz_t t1, t2; chunk_t decrypted; mpz_init(t1); mpz_init(t2); mpz_import(t1, data.len, 1, 1, 1, 0, data.ptr); mpz_powm(t2, t1, this->exp1, this->p); /* m1 = c^dP mod p */ mpz_powm(t1, t1, this->exp2, this->q); /* m2 = c^dQ mod Q */ mpz_sub(t2, t2, t1); /* h = qInv (m1 - m2) mod p */ mpz_mod(t2, t2, this->p); mpz_mul(t2, t2, this->coeff); mpz_mod(t2, t2, this->p); mpz_mul(t2, t2, this->q); /* m = m2 + h q */ mpz_add(t1, t1, t2); decrypted.len = this->k; decrypted.ptr = mpz_export(NULL, NULL, 1, decrypted.len, 1, 0, t1); mpz_clear(t1); mpz_clear(t2); return decrypted; } /** * Implementation of rsa_private_key.build_emsa_signature. */ static status_t build_emsa_pkcs1_signature(private_rsa_private_key_t *this, hash_algorithm_t hash_algorithm, chunk_t data, chunk_t *signature) { hasher_t *hasher; chunk_t hash; chunk_t oid; chunk_t em; /* get oid string prepended to hash */ switch (hash_algorithm) { case HASH_MD2: { oid.ptr = md2_oid; oid.len = sizeof(md2_oid); break; } case HASH_MD5: { oid.ptr = md5_oid; oid.len = sizeof(md5_oid); break; } case HASH_SHA1: { oid.ptr = sha1_oid; oid.len = sizeof(sha1_oid); break; } case HASH_SHA256: { oid.ptr = sha256_oid; oid.len = sizeof(sha256_oid); break; } case HASH_SHA384: { oid.ptr = sha384_oid; oid.len = sizeof(sha384_oid); break; } case HASH_SHA512: { oid.ptr = sha512_oid; oid.len = sizeof(sha512_oid); break; } default: { return NOT_SUPPORTED; } } /* get hasher */ hasher = hasher_create(hash_algorithm); if (hasher == NULL) { return NOT_SUPPORTED; } /* build hash */ hasher->allocate_hash(hasher, data, &hash); hasher->destroy(hasher); /* build chunk to rsa-decrypt: * EM = 0x00 || 0x01 || PS || 0x00 || T. * PS = 0xFF padding, with length to fill em * T = oid || hash */ em.len = this->k; em.ptr = allocator_alloc(em.len); /* fill em with padding */ memset(em.ptr, 0xFF, em.len); /* set magic bytes */ *(em.ptr) = 0x00; *(em.ptr+1) = 0x01; *(em.ptr + em.len - hash.len - oid.len - 1) = 0x00; /* set hash */ memcpy(em.ptr + em.len - hash.len, hash.ptr, hash.len); /* set oid */ memcpy(em.ptr + em.len - hash.len - oid.len, oid.ptr, oid.len); /* build signature */ *signature = this->rsasp1(this, em); allocator_free(hash.ptr); allocator_free(em.ptr); return SUCCESS; } /** * Implementation of rsa_private_key.set_key. */ static status_t set_key(private_rsa_private_key_t *this, chunk_t key) { chunk_t n, e, p, q, d, exp1, exp2, coeff; this->k = key.len / 8; n.len = this->k; e.len = this->k; p.len = this->k; q.len = this->k; d.len = this->k; exp1.len = this->k; exp2.len = this->k; coeff.len = this->k; n.ptr = key.ptr + this->k * 0; e.ptr = key.ptr + this->k * 1; p.ptr = key.ptr + this->k * 2; q.ptr = key.ptr + this->k * 3; d.ptr = key.ptr + this->k * 4; exp1.ptr = key.ptr + this->k * 5; exp2.ptr = key.ptr + this->k * 6; coeff.ptr = key.ptr + this->k * 7; mpz_init(this->n); mpz_init(this->e); mpz_init(this->p); mpz_init(this->q); mpz_init(this->d); mpz_init(this->exp1); mpz_init(this->exp2); mpz_init(this->coeff); mpz_import(this->n, this->k, 1, 1, 1, 0, n.ptr); mpz_import(this->e, this->k, 1, 1, 1, 0, e.ptr); mpz_import(this->p, this->k, 1, 1, 1, 0, p.ptr); mpz_import(this->q, this->k, 1, 1, 1, 0, q.ptr); mpz_import(this->d, this->k, 1, 1, 1, 0, d.ptr); mpz_import(this->exp1, this->k, 1, 1, 1, 0, exp1.ptr); mpz_import(this->exp2, this->k, 1, 1, 1, 0, exp2.ptr); mpz_import(this->coeff, this->k, 1, 1, 1, 0, coeff.ptr); this->is_key_set = TRUE; return SUCCESS; } /** * Implementation of rsa_private_key.get_key. */ static status_t get_key(private_rsa_private_key_t *this, chunk_t *key) { if (!this->is_key_set) { return INVALID_STATE; } chunk_t n, e, p, q, d, exp1, exp2, coeff; n.len = this->k; n.ptr = mpz_export(NULL, NULL, 1, n.len, 1, 0, this->n); e.len = this->k; e.ptr = mpz_export(NULL, NULL, 1, e.len, 1, 0, this->e); p.len = this->k; p.ptr = mpz_export(NULL, NULL, 1, p.len, 1, 0, this->p); q.len = this->k; q.ptr = mpz_export(NULL, NULL, 1, q.len, 1, 0, this->q); d.len = this->k; d.ptr = mpz_export(NULL, NULL, 1, d.len, 1, 0, this->d); exp1.len = this->k; exp1.ptr = mpz_export(NULL, NULL, 1, exp1.len, 1, 0, this->exp1); exp2.len = this->k; exp2.ptr = mpz_export(NULL, NULL, 1, exp2.len, 1, 0, this->exp2); coeff.len = this->k; coeff.ptr = mpz_export(NULL, NULL, 1, coeff.len, 1, 0, this->coeff); key->len = this->k * 8; key->ptr = allocator_alloc(key->len); memcpy(key->ptr + this->k * 0, n.ptr , n.len); memcpy(key->ptr + this->k * 1, e.ptr, e.len); memcpy(key->ptr + this->k * 2, p.ptr, p.len); memcpy(key->ptr + this->k * 3, q.ptr, q.len); memcpy(key->ptr + this->k * 4, d.ptr, d.len); memcpy(key->ptr + this->k * 5, exp1.ptr, exp1.len); memcpy(key->ptr + this->k * 6, exp2.ptr, exp2.len); memcpy(key->ptr + this->k * 7, coeff.ptr, coeff.len); allocator_free(n.ptr); allocator_free(e.ptr); allocator_free(p.ptr); allocator_free(q.ptr); allocator_free(d.ptr); allocator_free(exp1.ptr); allocator_free(exp2.ptr); allocator_free(coeff.ptr); return SUCCESS; } /** * Implementation of rsa_private_key.load_key. */ static status_t load_key(private_rsa_private_key_t *this, char *file) { return NOT_SUPPORTED; } /** * Implementation of rsa_private_key.save_key. */ static status_t save_key(private_rsa_private_key_t *this, char *file) { return NOT_SUPPORTED; } /** * Implementation of rsa_private_key.generate_key. */ static status_t generate_key(private_rsa_private_key_t *this, size_t key_size) { mpz_t p, q, n, e, d, exp1, exp2, coeff; mpz_t m, q1, t; if (key_size < 0) { return INVALID_ARG; } if (this->is_key_set) { mpz_clear(this->n); mpz_clear(this->e); mpz_clear(this->p); mpz_clear(this->q); mpz_clear(this->d); mpz_clear(this->exp1); mpz_clear(this->exp2); mpz_clear(this->coeff); } key_size = key_size / 8; mpz_init(t); mpz_init(n); mpz_init(d); mpz_init(exp1); mpz_init(exp2); mpz_init(coeff); /* Get values of primes p and q */ this->compute_prime(this, key_size/2, &p); this->compute_prime(this, key_size/2, &q); /* Swapping Primes so p is larger then q */ if (mpz_cmp(p, q) < 0) { mpz_set(t, p); mpz_set(p, q); mpz_set(q, t); } mpz_mul(n, p, q); /* n = p*q */ mpz_init_set_ui(e, PUBLIC_EXPONENT); /* assign public exponent */ mpz_init_set(m, p); /* m = p */ mpz_sub_ui(m, m, 1); /* m = m -1 */ mpz_init_set(q1, q); /* q1 = q */ mpz_sub_ui(q1, q1, 1); /* q1 = q1 -1 */ mpz_gcd(t, m, q1); /* t = gcd(p-1, q-1) */ mpz_mul(m, m, q1); /* m = (p-1)*(q-1) */ mpz_divexact(m, m, t); /* m = m / t */ mpz_gcd(t, m, e); /* t = gcd(m, e) (greatest common divisor) */ mpz_invert(d, e, m); /* e has an inverse mod m */ if (mpz_cmp_ui(d, 0) < 0) /* make sure d is positive */ { mpz_add(d, d, m); } mpz_sub_ui(t, p, 1); /* t = p-1 */ mpz_mod(exp1, d, t); /* exp1 = d mod p-1 */ mpz_sub_ui(t, q, 1); /* t = q-1 */ mpz_mod(exp2, d, t); /* exp2 = d mod q-1 */ mpz_invert(coeff, q, p); /* coeff = q^-1 mod p */ if (mpz_cmp_ui(coeff, 0) < 0) /* make coeff d is positive */ { mpz_add(coeff, coeff, p); } mpz_clear(q1); mpz_clear(m); mpz_clear(t); /* apply values */ *(this->p) = *p; *(this->q) = *q; *(this->n) = *n; *(this->e) = *e; *(this->d) = *d; *(this->exp1) = *exp1; *(this->exp2) = *exp2; *(this->coeff) = *coeff; /* set key size in bytes */ this->is_key_set = TRUE; this->k = key_size; return SUCCESS; } /** * Implementation of rsa_private_key.get_public_key. */ rsa_public_key_t *get_public_key(private_rsa_private_key_t *this) { rsa_public_key_t *public_key; //chunk_t key; public_key = rsa_public_key_create(); if (this->is_key_set) { chunk_t n, e, key; n.len = this->k; n.ptr = mpz_export(NULL, NULL, 1, n.len, 1, 0, this->n); e.len = this->k; e.ptr = mpz_export(NULL, NULL, 1, e.len, 1, 0, this->e); key.len = this->k * 2; key.ptr = allocator_alloc(key.len); memcpy(key.ptr, n.ptr, n.len); memcpy(key.ptr + n.len, e.ptr, e.len); allocator_free(n.ptr); allocator_free(e.ptr); public_key->set_key(public_key, key); allocator_free(key.ptr); } return public_key; } /** * Implementation of rsa_private_key.destroy. */ static void destroy(private_rsa_private_key_t *this) { if (this->is_key_set) { mpz_clear(this->n); mpz_clear(this->e); mpz_clear(this->p); mpz_clear(this->q); mpz_clear(this->d); mpz_clear(this->exp1); mpz_clear(this->exp2); mpz_clear(this->coeff); } allocator_free(this); } /* * Described in header. */ rsa_private_key_t *rsa_private_key_create(hash_algorithm_t hash_algoritm) { private_rsa_private_key_t *this = allocator_alloc_thing(private_rsa_private_key_t); /* public functions */ this->public.build_emsa_pkcs1_signature = (status_t (*) (rsa_private_key_t*,hash_algorithm_t,chunk_t,chunk_t*))build_emsa_pkcs1_signature; this->public.set_key = (status_t (*) (rsa_private_key_t*,chunk_t))set_key; this->public.get_key = (status_t (*) (rsa_private_key_t*,chunk_t*))get_key; this->public.load_key = (status_t (*) (rsa_private_key_t*,char*))load_key; this->public.save_key = (status_t (*) (rsa_private_key_t*,char*))save_key; this->public.generate_key = (status_t (*) (rsa_private_key_t*,size_t))generate_key; this->public.get_public_key = (rsa_public_key_t *(*) (rsa_private_key_t*))get_public_key; this->public.destroy = (void (*) (rsa_private_key_t*))destroy; /* private functions */ this->rsadp = rsadp; this->rsasp1 = rsadp; /* same algorithm */ this->compute_prime = compute_prime; this->is_key_set = FALSE; return &(this->public); }