File: esign.h

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// -*-c++-*-
/* $Id: esign.h,v 1.4 2004/09/20 00:31:49 dm Exp $ */

/*
 *
 * Copyright (C) 1998 David Mazieres (dm@uun.org)
 *
 * 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, or (at
 * your option) any later version.
 *
 * 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.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
 * USA
 *
 */

#include "bigint.h"
#include "modalg.h"

class esign_pub {
public:
  const bigint n;
  const u_long k;
  const int log2k;		// log_2 (k), or -1 if k not power of 2

protected:
  bigint t;

  static void msg2bigint (bigint *resp, const str &msg, int bits);
  static int calc_log2k (u_long k);

public:
  void kpow (bigint *rp, const bigint &x) const {
#if 1
    *rp = powm (x, k, n);
#else  /* This seems to be slower on the P4 */
    if (log2k <= 0)
      *rp = powm (x, k, n);
    else {
      bigint tmp;
      mpz_square (&tmp, &x);
      mpz_mod (rp, &tmp, &n);
      for (int i = log2k - 1; i > 0; i--) {
	mpz_square (&tmp, rp);
	mpz_mod (rp, &tmp, &n);
      }
    }
#endif
  }

  esign_pub (const bigint &n, u_long k);
  bool raw_verify (const bigint &msg, const bigint &sig) const;
  bool verify (const str &msg, const bigint &sig) const {
    bigint z;
    msg2bigint (&z, msg, mpz_sizeinbase2 (&n));
    return raw_verify (z, sig);
  }
};

class esign_priv : public esign_pub {
public:
  bigint p;
  bigint q;

protected:
  bigint pq;

  struct precomp {
    bigint x;
    bigint xk;
    bigint x_over_kxk;
  };
  mutable vec<precomp, 2> prevec;

public:
  esign_priv (const bigint &p, const bigint &q, u_long k);
  void precompute () const;
  size_t nprecomputed () const { return prevec.size (); }
  bigint raw_sign (const bigint &m) const;
  bigint sign (const str &msg) const {
    bigint z;
    msg2bigint (&z, msg, mpz_sizeinbase2 (&n));
    return raw_sign (z);
  }
};

esign_priv esign_keygen (size_t nbits, u_long k = 8);