// // DSAManaged.cs - Implements the DSA algorithm. // // Authors: // Dan Lewis (dihlewis@yahoo.co.uk) // Sebastien Pouliot (spouliot@motus.com) // Ben Maurer (bmaurer@users.sf.net) // // (C) 2002, 2003 Motus Technologies Inc. (http://www.motus.com) // Portions (C) 2003 Ben Maurer // // Key generation translated from Bouncy Castle JCE (http://www.bouncycastle.org/) // See bouncycastle.txt for license. // // // Copyright (C) 2004 Novell, Inc (http://www.novell.com) // // Permission is hereby granted, free of charge, to any person obtaining // a copy of this software and associated documentation files (the // "Software"), to deal in the Software without restriction, including // without limitation the rights to use, copy, modify, merge, publish, // distribute, sublicense, and/or sell copies of the Software, and to // permit persons to whom the Software is furnished to do so, subject to // the following conditions: // // The above copyright notice and this permission notice shall be // included in all copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF // MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. // using System; using System.Security.Cryptography; using Mono.Math; namespace Mono.Security.Cryptography { #if INSIDE_CORLIB internal #else public #endif class DSAManaged : DSA { private const int defaultKeySize = 1024; private bool keypairGenerated = false; private bool m_disposed = false; private BigInteger p; private BigInteger q; private BigInteger g; private BigInteger x; // private key private BigInteger y; private BigInteger j; private BigInteger seed; private int counter; private bool j_missing; private RandomNumberGenerator rng; public DSAManaged () : this (defaultKeySize) {} public DSAManaged (int dwKeySize) { KeySizeValue = dwKeySize; LegalKeySizesValue = new KeySizes [1]; LegalKeySizesValue [0] = new KeySizes (512, 1024, 64); } ~DSAManaged () { // Zeroize private key Dispose (false); } // generate both the group and the keypair private void Generate () { GenerateParams (base.KeySize); GenerateKeyPair (); keypairGenerated = true; if (KeyGenerated != null) KeyGenerated (this, null); } // this part is quite fast private void GenerateKeyPair () { x = BigInteger.GenerateRandom (160); while ((x == 0) || (x >= q)) { // size of x (private key) isn't affected by the keysize (512-1024) x.Randomize (); } // calculate the public key y = g^x % p y = g.ModPow (x, p); } private void add (byte[] a, byte[] b, int value) { uint x = (uint) ((b [b.Length - 1] & 0xff) + value); a [b.Length - 1] = (byte)x; x >>= 8; for (int i = b.Length - 2; i >= 0; i--) { x += (uint) (b [i] & 0xff); a [i] = (byte)x; x >>= 8; } } private void GenerateParams (int keyLength) { byte[] seed = new byte[20]; byte[] part1 = new byte[20]; byte[] part2 = new byte[20]; byte[] u = new byte[20]; // TODO: a prime generator should be made for this SHA1 sha = SHA1.Create (); int n = (keyLength - 1) / 160; byte[] w = new byte [keyLength / 8]; bool primesFound = false; while (!primesFound) { do { Random.GetBytes (seed); part1 = sha.ComputeHash (seed); Array.Copy(seed, 0, part2, 0, seed.Length); add (part2, seed, 1); part2 = sha.ComputeHash (part2); for (int i = 0; i != u.Length; i++) u [i] = (byte)(part1 [i] ^ part2 [i]); // first bit must be set (to respect key length) u[0] |= (byte)0x80; // last bit must be set (prime are all odds - except 2) u[19] |= (byte)0x01; q = new BigInteger (u); } while (!q.IsProbablePrime ()); counter = 0; int offset = 2; while (counter < 4096) { for (int k = 0; k < n; k++) { add(part1, seed, offset + k); part1 = sha.ComputeHash (part1); Array.Copy (part1, 0, w, w.Length - (k + 1) * part1.Length, part1.Length); } add(part1, seed, offset + n); part1 = sha.ComputeHash (part1); Array.Copy (part1, part1.Length - ((w.Length - (n) * part1.Length)), w, 0, w.Length - n * part1.Length); w[0] |= (byte)0x80; BigInteger x = new BigInteger (w); BigInteger c = x % (q * 2); p = x - (c - 1); if (p.TestBit ((uint)(keyLength - 1))) { if (p.IsProbablePrime ()) { primesFound = true; break; } } counter += 1; offset += n + 1; } } // calculate the generator g BigInteger pMinusOneOverQ = (p - 1) / q; for (;;) { BigInteger h = BigInteger.GenerateRandom (keyLength); if ((h <= 1) || (h >= (p - 1))) continue; g = h.ModPow (pMinusOneOverQ, p); if (g <= 1) continue; break; } this.seed = new BigInteger (seed); j = (p - 1) / q; } private RandomNumberGenerator Random { get { if (rng == null) rng = RandomNumberGenerator.Create (); return rng; } } // overrides from DSA class public override int KeySize { get { // in case keypair hasn't been (yet) generated if (keypairGenerated) return p.BitCount (); else return base.KeySize; } } public override string KeyExchangeAlgorithm { get { return null; } } // note: when (if) we generate a keypair then it will have both // the public and private keys public bool PublicOnly { get { return ((keypairGenerated) && (x == null)); } } public override string SignatureAlgorithm { get { return "http://www.w3.org/2000/09/xmldsig#dsa-sha1"; } } private byte[] NormalizeArray (byte[] array) { int n = (array.Length % 4); if (n > 0) { byte[] temp = new byte [array.Length + 4 - n]; Array.Copy (array, 0, temp, (4 - n), array.Length); return temp; } else return array; } public override DSAParameters ExportParameters (bool includePrivateParameters) { if (m_disposed) throw new ObjectDisposedException (Locale.GetText ("Keypair was disposed")); if (!keypairGenerated) Generate (); if ((includePrivateParameters) && (x == null)) throw new CryptographicException ("no private key to export"); DSAParameters param = new DSAParameters (); // all parameters must be in multiple of 4 bytes arrays // this isn't (generally) a problem for most of the parameters // except for J (but we won't take a chance) param.P = NormalizeArray (p.GetBytes ()); param.Q = NormalizeArray (q.GetBytes ()); param.G = NormalizeArray (g.GetBytes ()); param.Y = NormalizeArray (y.GetBytes ()); if (!j_missing) { param.J = NormalizeArray (j.GetBytes ()); } if (seed != 0) { param.Seed = NormalizeArray (seed.GetBytes ()); param.Counter = counter; } if (includePrivateParameters) { byte[] privateKey = x.GetBytes (); if (privateKey.Length == 20) { param.X = NormalizeArray (privateKey); } } return param; } public override void ImportParameters (DSAParameters parameters) { if (m_disposed) throw new ObjectDisposedException (Locale.GetText ("Keypair was disposed")); // if missing "mandatory" parameters if ((parameters.P == null) || (parameters.Q == null) || (parameters.G == null)) throw new CryptographicException (Locale.GetText ("Missing mandatory DSA parameters (P, Q or G).")); // We can calculate Y from X, but both can't be missing if ((parameters.X == null) && (parameters.Y == null)) throw new CryptographicException (Locale.GetText ("Missing both public (Y) and private (X) keys.")); p = new BigInteger (parameters.P); q = new BigInteger (parameters.Q); g = new BigInteger (parameters.G); // optional parameter - private key if (parameters.X != null) x = new BigInteger (parameters.X); else x = null; // we can calculate Y from X if required if (parameters.Y != null) y = new BigInteger (parameters.Y); else y = g.ModPow (x, p); // optional parameter - pre-computation if (parameters.J != null) { j = new BigInteger (parameters.J); } else { j = (p - 1) / q; j_missing = true; } // optional - seed and counter must both be present (or absent) if (parameters.Seed != null) { seed = new BigInteger (parameters.Seed); counter = parameters.Counter; } else seed = 0; // we now have a keypair keypairGenerated = true; } public override byte[] CreateSignature (byte[] rgbHash) { if (m_disposed) throw new ObjectDisposedException (Locale.GetText ("Keypair was disposed")); if (rgbHash == null) throw new ArgumentNullException ("rgbHash"); if (rgbHash.Length != 20) throw new CryptographicException ("invalid hash length"); if (!keypairGenerated) Generate (); // if required key must be generated before checking for X if (x == null) throw new CryptographicException ("no private key available for signature"); BigInteger m = new BigInteger (rgbHash); // (a) Select a random secret integer k; 0 < k < q. BigInteger k = BigInteger.GenerateRandom (160); while (k >= q) k.Randomize (); // (b) Compute r = (g^k mod p) mod q BigInteger r = (g.ModPow (k, p)) % q; // (c) Compute k -1 mod q (e.g., using Algorithm 2.142). // (d) Compute s = k -1 fh(m) +arg mod q. BigInteger s = (k.ModInverse (q) * (m + x * r)) % q; // (e) A's signature for m is the pair (r; s). byte[] signature = new byte [40]; byte[] part1 = r.GetBytes (); byte[] part2 = s.GetBytes (); // note: sometime (1/256) we may get less than 20 bytes (if first is 00) int start = 20 - part1.Length; Array.Copy (part1, 0, signature, start, part1.Length); start = 40 - part2.Length; Array.Copy (part2, 0, signature, start, part2.Length); return signature; } public override bool VerifySignature (byte[] rgbHash, byte[] rgbSignature) { if (m_disposed) throw new ObjectDisposedException (Locale.GetText ("Keypair was disposed")); if (rgbHash == null) throw new ArgumentNullException ("rgbHash"); if (rgbSignature == null) throw new ArgumentNullException ("rgbSignature"); if (rgbHash.Length != 20) throw new CryptographicException ("invalid hash length"); // signature is always 40 bytes (no matter the size of the // public key). In fact it is 2 times the size of the private // key (which is 20 bytes for 512 to 1024 bits DSA keypairs) if (rgbSignature.Length != 40) throw new CryptographicException ("invalid signature length"); // it would be stupid to verify a signature with a newly // generated keypair - so we return false if (!keypairGenerated) return false; try { BigInteger m = new BigInteger (rgbHash); byte[] half = new byte [20]; Array.Copy (rgbSignature, 0, half, 0, 20); BigInteger r = new BigInteger (half); Array.Copy (rgbSignature, 20, half, 0, 20); BigInteger s = new BigInteger (half); if ((r < 0) || (q <= r)) return false; if ((s < 0) || (q <= s)) return false; BigInteger w = s.ModInverse(q); BigInteger u1 = m * w % q; BigInteger u2 = r * w % q; u1 = g.ModPow(u1, p); u2 = y.ModPow(u2, p); BigInteger v = ((u1 * u2 % p) % q); return (v == r); } catch { throw new CryptographicException ("couldn't compute signature verification"); } } protected override void Dispose (bool disposing) { if (!m_disposed) { // Always zeroize private key if (x != null) { x.Clear (); x = null; } if (disposing) { // clear group if (p != null) { p.Clear (); p = null; } if (q != null) { q.Clear (); q = null; } if (g != null) { g.Clear (); g = null; } if (j != null) { j.Clear (); j = null; } if (seed != null) { seed.Clear (); seed = null; } // clear public key if (y != null) { y.Clear (); y = null; } } } // call base class // no need as they all are abstract before us m_disposed = true; } public delegate void KeyGeneratedEventHandler (object sender, EventArgs e); public event KeyGeneratedEventHandler KeyGenerated; } }