package org.bouncycastle.crypto.generators; import java.math.BigInteger; import java.security.SecureRandom; import org.bouncycastle.crypto.Digest; // BEGIN android-changed import org.bouncycastle.crypto.digests.AndroidDigestFactory; // END android-changed import org.bouncycastle.crypto.params.DSAParameterGenerationParameters; import org.bouncycastle.crypto.params.DSAParameters; import org.bouncycastle.crypto.params.DSAValidationParameters; import org.bouncycastle.util.Arrays; import org.bouncycastle.util.BigIntegers; import org.bouncycastle.util.encoders.Hex; /** * Generate suitable parameters for DSA, in line with FIPS 186-2, or FIPS 186-3. */ public class DSAParametersGenerator { private Digest digest; private int L, N; private int certainty; private SecureRandom random; private static final BigInteger ZERO = BigInteger.valueOf(0); private static final BigInteger ONE = BigInteger.valueOf(1); private static final BigInteger TWO = BigInteger.valueOf(2); private boolean use186_3; private int usageIndex; public DSAParametersGenerator() { // BEGIN android-changed this(AndroidDigestFactory.getSHA1()); // END android-changed } public DSAParametersGenerator(Digest digest) { this.digest = digest; } /** * initialise the key generator. * * @param size size of the key (range 2^512 -> 2^1024 - 64 bit increments) * @param certainty measure of robustness of prime (for FIPS 186-2 compliance this should be at least 80). * @param random random byte source. */ public void init( int size, int certainty, SecureRandom random) { this.use186_3 = false; this.L = size; this.N = getDefaultN(size); this.certainty = certainty; this.random = random; } /** * Initialise the key generator for DSA 2. *

* Use this init method if you need to generate parameters for DSA 2 keys. *

* * @param params DSA 2 key generation parameters. */ public void init( DSAParameterGenerationParameters params) { // TODO Should we enforce the minimum 'certainty' values as per C.3 Table C.1? this.use186_3 = true; this.L = params.getL(); this.N = params.getN(); this.certainty = params.getCertainty(); this.random = params.getRandom(); this.usageIndex = params.getUsageIndex(); if ((L < 1024 || L > 3072) || L % 1024 != 0) { throw new IllegalArgumentException("L values must be between 1024 and 3072 and a multiple of 1024"); } else if (L == 1024 && N != 160) { throw new IllegalArgumentException("N must be 160 for L = 1024"); } else if (L == 2048 && (N != 224 && N != 256)) { throw new IllegalArgumentException("N must be 224 or 256 for L = 2048"); } else if (L == 3072 && N != 256) { throw new IllegalArgumentException("N must be 256 for L = 3072"); } if (digest.getDigestSize() * 8 < N) { throw new IllegalStateException("Digest output size too small for value of N"); } } /** * which generates the p and g values from the given parameters, * returning the DSAParameters object. *

* Note: can take a while... */ public DSAParameters generateParameters() { return (use186_3) ? generateParameters_FIPS186_3() : generateParameters_FIPS186_2(); } private DSAParameters generateParameters_FIPS186_2() { byte[] seed = new byte[20]; byte[] part1 = new byte[20]; byte[] part2 = new byte[20]; byte[] u = new byte[20]; int n = (L - 1) / 160; byte[] w = new byte[L / 8]; // BEGIN android-changed if (!(digest.getAlgorithmName().equals("SHA-1"))) // END android-changed { throw new IllegalStateException("can only use SHA-1 for generating FIPS 186-2 parameters"); } for (;;) { random.nextBytes(seed); hash(digest, seed, part1); System.arraycopy(seed, 0, part2, 0, seed.length); inc(part2); hash(digest, part2, part2); for (int i = 0; i != u.length; i++) { u[i] = (byte)(part1[i] ^ part2[i]); } u[0] |= (byte)0x80; u[19] |= (byte)0x01; BigInteger q = new BigInteger(1, u); if (!q.isProbablePrime(certainty)) { continue; } byte[] offset = Arrays.clone(seed); inc(offset); for (int counter = 0; counter < 4096; ++counter) { for (int k = 0; k < n; k++) { inc(offset); hash(digest, offset, part1); System.arraycopy(part1, 0, w, w.length - (k + 1) * part1.length, part1.length); } inc(offset); hash(digest, offset, part1); System.arraycopy(part1, part1.length - ((w.length - (n) * part1.length)), w, 0, w.length - n * part1.length); w[0] |= (byte)0x80; BigInteger x = new BigInteger(1, w); BigInteger c = x.mod(q.shiftLeft(1)); BigInteger p = x.subtract(c.subtract(ONE)); if (p.bitLength() != L) { continue; } if (p.isProbablePrime(certainty)) { BigInteger g = calculateGenerator_FIPS186_2(p, q, random); return new DSAParameters(p, q, g, new DSAValidationParameters(seed, counter)); } } } } private static BigInteger calculateGenerator_FIPS186_2(BigInteger p, BigInteger q, SecureRandom r) { BigInteger e = p.subtract(ONE).divide(q); BigInteger pSub2 = p.subtract(TWO); for (;;) { BigInteger h = BigIntegers.createRandomInRange(TWO, pSub2, r); BigInteger g = h.modPow(e, p); if (g.bitLength() > 1) { return g; } } } /** * generate suitable parameters for DSA, in line with * FIPS 186-3 A.1 Generation of the FFC Primes p and q. */ private DSAParameters generateParameters_FIPS186_3() { // A.1.1.2 Generation of the Probable Primes p and q Using an Approved Hash Function // FIXME This should be configurable (digest size in bits must be >= N) Digest d = digest; int outlen = d.getDigestSize() * 8; // 1. Check that the (L, N) pair is in the list of acceptable (L, N pairs) (see Section 4.2). If // the pair is not in the list, then return INVALID. // Note: checked at initialisation // 2. If (seedlen < N), then return INVALID. // FIXME This should be configurable (must be >= N) int seedlen = N; byte[] seed = new byte[seedlen / 8]; // 3. n = ceiling(L / outlen) - 1. int n = (L - 1) / outlen; // 4. b = L - 1 - (n * outlen). int b = (L - 1) % outlen; byte[] output = new byte[d.getDigestSize()]; for (;;) { // 5. Get an arbitrary sequence of seedlen bits as the domain_parameter_seed. random.nextBytes(seed); // 6. U = Hash (domain_parameter_seed) mod 2^(N–1). hash(d, seed, output); BigInteger U = new BigInteger(1, output).mod(ONE.shiftLeft(N - 1)); // 7. q = 2^(N–1) + U + 1 – ( U mod 2). BigInteger q = ONE.shiftLeft(N - 1).add(U).add(ONE).subtract(U.mod(TWO)); // 8. Test whether or not q is prime as specified in Appendix C.3. // TODO Review C.3 for primality checking if (!q.isProbablePrime(certainty)) { // 9. If q is not a prime, then go to step 5. continue; } // 10. offset = 1. // Note: 'offset' value managed incrementally byte[] offset = Arrays.clone(seed); // 11. For counter = 0 to (4L – 1) do int counterLimit = 4 * L; for (int counter = 0; counter < counterLimit; ++counter) { // 11.1 For j = 0 to n do // Vj = Hash ((domain_parameter_seed + offset + j) mod 2^seedlen). // 11.2 W = V0 + (V1 ∗ 2^outlen) + ... + (V^(n–1) ∗ 2^((n–1) ∗ outlen)) + ((Vn mod 2^b) ∗ 2^(n ∗ outlen)). // TODO Assemble w as a byte array BigInteger W = ZERO; for (int j = 0, exp = 0; j <= n; ++j, exp += outlen) { inc(offset); hash(d, offset, output); BigInteger Vj = new BigInteger(1, output); if (j == n) { Vj = Vj.mod(ONE.shiftLeft(b)); } W = W.add(Vj.shiftLeft(exp)); } // 11.3 X = W + 2^(L–1). Comment: 0 ≤ W < 2L–1; hence, 2L–1 ≤ X < 2L. BigInteger X = W.add(ONE.shiftLeft(L - 1)); // 11.4 c = X mod 2q. BigInteger c = X.mod(q.shiftLeft(1)); // 11.5 p = X - (c - 1). Comment: p ≡ 1 (mod 2q). BigInteger p = X.subtract(c.subtract(ONE)); // 11.6 If (p < 2^(L - 1)), then go to step 11.9 if (p.bitLength() != L) { continue; } // 11.7 Test whether or not p is prime as specified in Appendix C.3. // TODO Review C.3 for primality checking if (p.isProbablePrime(certainty)) { // 11.8 If p is determined to be prime, then return VALID and the values of p, q and // (optionally) the values of domain_parameter_seed and counter. if (usageIndex >= 0) { BigInteger g = calculateGenerator_FIPS186_3_Verifiable(d, p, q, seed, usageIndex); if (g != null) { return new DSAParameters(p, q, g, new DSAValidationParameters(seed, counter, usageIndex)); } } BigInteger g = calculateGenerator_FIPS186_3_Unverifiable(p, q, random); return new DSAParameters(p, q, g, new DSAValidationParameters(seed, counter)); } // 11.9 offset = offset + n + 1. Comment: Increment offset; then, as part of // the loop in step 11, increment counter; if // counter < 4L, repeat steps 11.1 through 11.8. // Note: 'offset' value already incremented in inner loop } // 12. Go to step 5. } } private static BigInteger calculateGenerator_FIPS186_3_Unverifiable(BigInteger p, BigInteger q, SecureRandom r) { return calculateGenerator_FIPS186_2(p, q, r); } private static BigInteger calculateGenerator_FIPS186_3_Verifiable(Digest d, BigInteger p, BigInteger q, byte[] seed, int index) { // A.2.3 Verifiable Canonical Generation of the Generator g BigInteger e = p.subtract(ONE).divide(q); byte[] ggen = Hex.decode("6767656E"); // 7. U = domain_parameter_seed || "ggen" || index || count. byte[] U = new byte[seed.length + ggen.length + 1 + 2]; System.arraycopy(seed, 0, U, 0, seed.length); System.arraycopy(ggen, 0, U, seed.length, ggen.length); U[U.length - 3] = (byte)index; byte[] w = new byte[d.getDigestSize()]; for (int count = 1; count < (1 << 16); ++count) { inc(U); hash(d, U, w); BigInteger W = new BigInteger(1, w); BigInteger g = W.modPow(e, p); if (g.compareTo(TWO) >= 0) { return g; } } return null; } private static void hash(Digest d, byte[] input, byte[] output) { d.update(input, 0, input.length); d.doFinal(output, 0); } private static int getDefaultN(int L) { return L > 1024 ? 256 : 160; } private static void inc(byte[] buf) { for (int i = buf.length - 1; i >= 0; --i) { byte b = (byte)((buf[i] + 1) & 0xff); buf[i] = b; if (b != 0) { break; } } } }