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The Bouncy Castle Crypto package is a Java implementation of cryptographic algorithms. This jar contains JCE provider and lightweight API for the Bouncy Castle Cryptography APIs for JDK 1.5.
package org.bouncycastle.crypto.generators;
import java.math.BigInteger;
import java.security.SecureRandom;
import org.bouncycastle.util.BigIntegers;
class DHParametersHelper
{
private static final BigInteger ONE = BigInteger.valueOf(1);
private static final BigInteger TWO = BigInteger.valueOf(2);
// Finds a pair of prime BigInteger's {p, q: p = 2q + 1}
static BigInteger[] generateSafePrimes(
int size,
int certainty,
SecureRandom random)
{
BigInteger p, q;
int qLength = size - 1;
for (;;)
{
q = new BigInteger(qLength, 2, random);
// p <- 2q + 1
p = q.shiftLeft(1).add(ONE);
if (p.isProbablePrime(certainty)
&& (certainty <= 2 || q.isProbablePrime(certainty)))
{
break;
}
}
return new BigInteger[] { p, q };
}
// Select a high order element of the multiplicative group Zp*
// p and q must be s.t. p = 2*q + 1, where p and q are prime
static BigInteger selectGenerator(
BigInteger p,
BigInteger q,
SecureRandom random)
{
BigInteger pMinusTwo = p.subtract(TWO);
BigInteger g;
// Handbook of Applied Cryptography 4.86
do
{
g = BigIntegers.createRandomInRange(TWO, pMinusTwo, random);
}
while (g.modPow(TWO, p).equals(ONE)
|| g.modPow(q, p).equals(ONE));
/*
// RFC 2631 2.1.1 (and see Handbook of Applied Cryptography 4.81)
do
{
BigInteger h = createInRange(TWO, pMinusTwo, random);
g = h.modPow(TWO, p);
}
while (g.equals(ONE));
*/
return g;
}
}