rsa.h

/* rsa.h
 *
 * The RSA publickey algorithm.
 */

/* nettle, low-level cryptographics library
 *
 * Copyright (C) 2001 Niels Mller
 *  
 * The nettle library is free software; you can redistribute it and/or modify
 * it under the terms of the GNU Lesser General Public License as published by
 * the Free Software Foundation; either version 2.1 of the License, or (at your
 * option) any later version.
 * 
 * The nettle library 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 Lesser General Public
 * License for more details.
 * 
 * You should have received a copy of the GNU Lesser General Public License
 * along with the nettle library; see the file COPYING.LIB.  If not, write to
 * the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
 * MA 02111-1307, USA.
 */
 
#ifndef NETTLE_RSA_H_INCLUDED
#define NETTLE_RSA_H_INCLUDED

#include <inttypes.h>
#include <gmp.h>

#include "md5.h"
#include "sha.h"

struct rsa_public_key
{
  /* Size of the modulo, in octets. This is also the size of all
   * signatures that are created or verified with this key. */
  unsigned size;
  
  /* Modulo */
  mpz_t n;

  /* Public exponent */
  mpz_t e;
};

struct rsa_private_key
{
  struct rsa_public_key pub;
  
  /* Secret exponent */
  mpz_t d;

  /* The two factors */
  mpz_t p; mpz_t q;

  /* d % (p-1), i.e. a e = 1 (mod (p-1)) */
  mpz_t a;

  /* d % (q-1), i.e. b e = 1 (mod (q-1)) */
  mpz_t b;

  /* modular inverse of q , i.e. c q = 1 (mod p) */
  mpz_t c;
};

/* Signing a message works as follows:
 *
 * Store the private key in a rsa_private_key struct.
 *
 * Call rsa_prepare_private_key. This initializes the size attribute
 * to the length of a signature.
 *
 * Initialize a hashing context, by callling
 *   md5_init
 *
 * Hash the message by calling
 *   md5_update
 *
 * Create the signature by calling
 *   rsa_md5_sign
 *
 * The signature is represented as a mpz_t bignum. This call also
 * resets the hashing context.
 *
 * When done with the key, don't forget to call mpz_clear.
 */

int
rsa_prepare_public_key(struct rsa_public_key *key);

int
rsa_prepare_private_key(struct rsa_private_key *key);

/* PKCS#1 style signatures */
void
rsa_md5_sign(struct rsa_private_key *key,
             struct md5_ctx *hash,
             mpz_t signature);


int
rsa_md5_verify(struct rsa_public_key *key,
               struct md5_ctx *hash,
	       const mpz_t signature);

void
rsa_sha1_sign(struct rsa_private_key *key,
              struct sha1_ctx *hash,
              mpz_t signature);

int
rsa_sha1_verify(struct rsa_public_key *key,
                struct sha1_ctx *hash,
		const mpz_t signature);

/* Compute x, the d:th root of m. Calling it with x == m is allowed. */
void
rsa_compute_root(struct rsa_private_key *key, mpz_t x, const mpz_t m);


#endif /* NETTLE_RSA_H_INCLUDED */