libjava/classpath/gnu/java/security/sig/dss/DSSSignature.java

/* DSSSignature.java --
   Copyright (C) 2001, 2002, 2003, 2006 Free Software Foundation, Inc.

This file is a part of GNU Classpath.

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it under the terms of the GNU General Public License as published by
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General Public License for more details.

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Linking this library statically or dynamically with other modules is
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permission to link this library with independent modules to produce an
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package gnu.java.security.sig.dss;

import gnu.java.security.Registry;
import gnu.java.security.hash.IMessageDigest;
import gnu.java.security.hash.Sha160;
import gnu.java.security.prng.IRandom;
import gnu.java.security.sig.BaseSignature;
import gnu.java.security.sig.ISignature;

import java.math.BigInteger;
import java.security.PrivateKey;
import java.security.PublicKey;
import java.security.interfaces.DSAPrivateKey;
import java.security.interfaces.DSAPublicKey;
import java.util.HashMap;
import java.util.Map;
import java.util.Random;

/**
 * The DSS (Digital Signature Standard) algorithm makes use of the following
 * parameters:
 * <ol>
 * <li>p: A prime modulus, where
 * <code>2<sup>L-1</sup> &lt; p &lt; 2<sup>L</sup> </code> for <code>512 &lt;= L
 * &lt;= 1024</code> and <code>L</code> a multiple of <code>64</code>.</li>
 * <li>q: A prime divisor of <code>p - 1</code>, where <code>2<sup>159</sup>
 *    &lt; q &lt; 2<sup>160</sup></code>.</li>
 * <li>g: Where <code>g = h<sup>(p-1)</sup>/q mod p</code>, where
 * <code>h</code> is any integer with <code>1 &lt; h &lt; p - 1</code> such
 * that <code>h<sup> (p-1)</sup>/q mod p > 1</code> (<code>g</code> has order
 * <code>q mod p</code>).</li>
 * <li>x: A randomly or pseudorandomly generated integer with <code>0 &lt; x
 *    &lt; q</code>.</li>
 * <li>y: <code>y = g<sup>x</sup> mod p</code>.</li>
 * <li>k: A randomly or pseudorandomly generated integer with <code>0 &lt; k
 *    &lt; q</code>.</li>
 * </ol>
 * <p>
 * The integers <code>p</code>, <code>q</code>, and <code>g</code> can be
 * public and can be common to a group of users. A user's private and public
 * keys are <code>x</code> and <code>y</code>, respectively. They are
 * normally fixed for a period of time. Parameters <code>x</code> and
 * <code>k</code> are used for signature generation only, and must be kept
 * secret. Parameter <code>k</code> must be regenerated for each signature.
 * <p>
 * The signature of a message <code>M</code> is the pair of numbers
 * <code>r</code> and <code>s</code> computed according to the equations below:
 * <ul>
 * <li><code>r = (g<sup>k</sup> mod p) mod q</code> and</li>
 * <li><code>s = (k<sup>-1</sup>(SHA(M) + xr)) mod q</code>.</li>
 * </ul>
 * <p>
 * In the above, <code>k<sup>-1</sup></code> is the multiplicative inverse of
 * <code>k</code>, <code>mod q</code>; i.e., <code>(k<sup>-1</sup> k) mod q =
 * 1</code> and <code>0 &lt; k-1 &lt; q</code>. The value of <code>SHA(M)</code>
 * is a 160-bit string output by the Secure Hash Algorithm specified in FIPS
 * 180. For use in computing <code>s</code>, this string must be converted to
 * an integer.
 * <p>
 * As an option, one may wish to check if <code>r == 0</code> or <code>s == 0
 * </code>.
 * If either <code>r == 0</code> or <code>s == 0</code>, a new value of
 * <code>k</code> should be generated and the signature should be recalculated
 * (it is extremely unlikely that <code>r == 0</code> or <code>s == 0</code> if
 * signatures are generated properly).
 * <p>
 * The signature is transmitted along with the message to the verifier.
 * <p>
 * References:
 * <ol>
 * <li><a href="http://www.itl.nist.gov/fipspubs/fip186.htm">Digital Signature
 * Standard (DSS)</a>, Federal Information Processing Standards Publication
 * 186. National Institute of Standards and Technology.</li>
 * </ol>
 */
public class DSSSignature
    extends BaseSignature
{
  /** Trivial 0-arguments constructor. */
  public DSSSignature()
  {
    super(Registry.DSS_SIG, new Sha160());
  }

  /** Private constructor for cloning purposes. */
  private DSSSignature(DSSSignature that)
  {
    this();

    this.publicKey = that.publicKey;
    this.privateKey = that.privateKey;
    this.md = (IMessageDigest) that.md.clone();
  }

  public static final BigInteger[] sign(final DSAPrivateKey k, final byte[] h)
  {
    final DSSSignature sig = new DSSSignature();
    final Map attributes = new HashMap();
    attributes.put(ISignature.SIGNER_KEY, k);
    sig.setupSign(attributes);
    return sig.computeRS(h);
  }

  public static final BigInteger[] sign(final DSAPrivateKey k, final byte[] h,
                                        Random rnd)
  {
    final DSSSignature sig = new DSSSignature();
    final Map attributes = new HashMap();
    attributes.put(ISignature.SIGNER_KEY, k);
    if (rnd != null)
      attributes.put(ISignature.SOURCE_OF_RANDOMNESS, rnd);

    sig.setupSign(attributes);
    return sig.computeRS(h);
  }

  public static final BigInteger[] sign(final DSAPrivateKey k, final byte[] h,
                                        IRandom irnd)
  {
    final DSSSignature sig = new DSSSignature();
    final Map attributes = new HashMap();
    attributes.put(ISignature.SIGNER_KEY, k);
    if (irnd != null)
      attributes.put(ISignature.SOURCE_OF_RANDOMNESS, irnd);

    sig.setupSign(attributes);
    return sig.computeRS(h);
  }

  public static final boolean verify(final DSAPublicKey k, final byte[] h,
                                     final BigInteger[] rs)
  {
    final DSSSignature sig = new DSSSignature();
    final Map attributes = new HashMap();
    attributes.put(ISignature.VERIFIER_KEY, k);
    sig.setupVerify(attributes);
    return sig.checkRS(rs, h);
  }

  public Object clone()
  {
    return new DSSSignature(this);
  }

  protected void setupForVerification(PublicKey k)
      throws IllegalArgumentException
  {
    if (! (k instanceof DSAPublicKey))
      throw new IllegalArgumentException();

    this.publicKey = k;
  }

  protected void setupForSigning(PrivateKey k) throws IllegalArgumentException
  {
    if (! (k instanceof DSAPrivateKey))
      throw new IllegalArgumentException();

    this.privateKey = k;
  }

  protected Object generateSignature() throws IllegalStateException
  {
    final BigInteger[] rs = computeRS(md.digest());
    return encodeSignature(rs[0], rs[1]);
  }

  protected boolean verifySignature(Object sig) throws IllegalStateException
  {
    final BigInteger[] rs = decodeSignature(sig);
    return checkRS(rs, md.digest());
  }

  /**
   * Returns the output of a signature generation phase.
   *
   * @return an object encapsulating the DSS signature pair <code>r</code> and
   *         <code>s</code>.
   */
  private Object encodeSignature(BigInteger r, BigInteger s)
  {
    return new BigInteger[] { r, s };
  }

  /**
   * Returns the output of a previously generated signature object as a pair of
   * {@link java.math.BigInteger}.
   *
   * @return the DSS signature pair <code>r</code> and <code>s</code>.
   */
  private BigInteger[] decodeSignature(Object signature)
  {
    return (BigInteger[]) signature;
  }

  private BigInteger[] computeRS(final byte[] digestBytes)
  {
    final BigInteger p = ((DSAPrivateKey) privateKey).getParams().getP();
    final BigInteger q = ((DSAPrivateKey) privateKey).getParams().getQ();
    final BigInteger g = ((DSAPrivateKey) privateKey).getParams().getG();
    final BigInteger x = ((DSAPrivateKey) privateKey).getX();
    final BigInteger m = new BigInteger(1, digestBytes);
    BigInteger k, r, s;
    final byte[] kb = new byte[20]; // we'll use 159 bits only
    while (true)
      {
        this.nextRandomBytes(kb);
        k = new BigInteger(1, kb);
        k.clearBit(159);
        r = g.modPow(k, p).mod(q);
        if (r.equals(BigInteger.ZERO))
          continue;

        s = m.add(x.multiply(r)).multiply(k.modInverse(q)).mod(q);
        if (s.equals(BigInteger.ZERO))
          continue;

        break;
      }
    return new BigInteger[] { r, s };
  }

  private boolean checkRS(final BigInteger[] rs, final byte[] digestBytes)
  {
    final BigInteger r = rs[0];
    final BigInteger s = rs[1];
    final BigInteger g = ((DSAPublicKey) publicKey).getParams().getG();
    final BigInteger p = ((DSAPublicKey) publicKey).getParams().getP();
    final BigInteger q = ((DSAPublicKey) publicKey).getParams().getQ();
    final BigInteger y = ((DSAPublicKey) publicKey).getY();
    final BigInteger w = s.modInverse(q);
    final BigInteger u1 = w.multiply(new BigInteger(1, digestBytes)).mod(q);
    final BigInteger u2 = r.multiply(w).mod(q);
    final BigInteger v = g.modPow(u1, p).multiply(y.modPow(u2, p)).mod(p).mod(q);
    return v.equals(r);
  }
}