This is how I am using C# to generate a random 4096 bit prime number, the code just runs and runs and runs and I haven't yet had produce for me a result.
I would like to successfully create an implementation that is not dependant on existing code such as the C# RSA object or other libraries, but if that is the only way to create a function where I can provide the amount of bits and have it produce a random prime number then so be it.
I am looking for advice on how to improve this code to get the desired result.
public class RSA_RandomPrime
{
// The random number provider.
private RNGCryptoServiceProvider rng =
new RNGCryptoServiceProvider();
public BigInteger RandomPrime(int bits)
{
BigInteger rn =0;
while (rn <= 0 || !PrimeExtensions.IsProbablyPrime(rn,256))
{
byte[] bytes = new byte[bits / 8];
rng.GetBytes(bytes);
rn = new BigInteger(bytes);
}
return rn;
}
}
public static class PrimeExtensions
{
// Random generator (thread safe)
private static ThreadLocal<Random> s_Gen = new ThreadLocal<Random>(
() => {
return new Random();
}
);
// Random generator (thread safe)
private static Random Gen
{
get
{
return s_Gen.Value;
}
}
public static Boolean IsProbablyPrime(this BigInteger value, int witnesses = 10)
{
if (value <= 1)
return false;
if (witnesses <= 0)
witnesses = 10;
BigInteger d = value - 1;
int s = 0;
while (d % 2 == 0)
{
d /= 2;
s += 1;
}
Byte[] bytes = new Byte[value.ToByteArray().LongLength];
BigInteger a;
for (int i = 0; i < witnesses; i++)
{
do
{
Gen.NextBytes(bytes);
a = new BigInteger(bytes);
}
while (a < 2 || a >= value - 2);
BigInteger x = BigInteger.ModPow(a, d, value);
if (x == 1 || x == value - 1)
continue;
for (int r = 1; r < s; r++)
{
x = BigInteger.ModPow(x, 2, value);
if (x == 1)
return false;
if (x == value - 1)
break;
}
if (x != value - 1)
return false;
}
return true;
}
}
I expect it to eventually report a random prime number to n bits but it appears to be stuck in a hopeless loop or I haven't give it enough time.
Aucun commentaire:
Enregistrer un commentaire