I have the C# code that does encryption with RSA algorithm but I want to give my own p and q, when I try to give for instance; p=11 q=5 manually. When I try to set my values manually inside
Create() method, it gives me error at
ModInverse() saying
System.ArgumentException: 'a is not convertible.'
What I have tried:
public void RSACompatibility()
{
var rsa = new RSACryptoServiceProvider(512);
var parameters = rsa.ExportParameters(true);
var recreatedParameters = Create(parameters.P, parameters.Q, parameters.Exponent, parameters.Modulus);
var recreatedRSA = new RSACryptoServiceProvider();
recreatedRSA.ImportParameters(recreatedParameters);
byte[] message = Encoding.UTF8.GetBytes("hello");
var ciphertext = rsa.Encrypt(message, false);
var plaintext = recreatedRSA.Decrypt(ciphertext, false);
string recreatedMessage = Encoding.UTF8.GetString(plaintext);
var bw = new BinaryWriter(File.Open("path", FileMode.OpenOrCreate));
bw.Write(ciphertext);
}
private static RSAParameters Create(byte[] p, byte[] q, byte[] exponent, byte[] modulus)
{
int intValueP = 51;
int intValueQ = 7;
byte[] intBytes = BitConverter.GetBytes(intValueP);
byte[] intBytes2 = BitConverter.GetBytes(intValueQ);
var addlParameters = GetFullPrivateParameters(
p: new BigInteger(CopyAndReverse(intBytes)),
q: new BigInteger(CopyAndReverse(intBytes2)),
e: new BigInteger(CopyAndReverse(exponent)),
modulus: new BigInteger(CopyAndReverse(modulus)));
return new RSAParameters
{
P = p,
Q = q,
Exponent = exponent,
Modulus = modulus,
D = addlParameters.D,
DP = addlParameters.DP,
DQ = addlParameters.DQ,
InverseQ = addlParameters.InverseQ,
};
}
private static RSAParameters GetFullPrivateParameters(BigInteger p, BigInteger q, BigInteger e, BigInteger modulus)
{
var n = p * q;
var phiOfN = n - p - q + 1;
var d = ModInverse(e, phiOfN);
var dp = d % (p - 1);
var dq = d % (q - 1);
var qInv = ModInverse(q, p);
return new RSAParameters
{
D = CopyAndReverse(d.ToByteArray()),
DP = CopyAndReverse(dp.ToByteArray()),
DQ = CopyAndReverse(dq.ToByteArray()),
InverseQ = CopyAndReverse(qInv.ToByteArray()),
};
}
private static BigInteger Encrypt(BigInteger m, BigInteger n, BigInteger e)
{
return BigInteger.ModPow(m, e, n);
}
private static BigInteger Decrypt(BigInteger mEnc, BigInteger d, BigInteger n)
{
return BigInteger.ModPow(mEnc, d, n);
}
public static BigInteger ModInverse(BigInteger a, BigInteger n)
{
BigInteger t = 0, nt = 1, r = n, nr = a;
if (n < 0)
{
n = -n;
}
if (a < 0)
{
a = n - (-a % n);
}
while (nr != 0)
{
var quot = r / nr;
var tmp = nt; nt = t - quot * nt; t = tmp;
tmp = nr; nr = r - quot * nr; r = tmp;
}
if (r > 1) throw new ArgumentException(nameof(a) + " is not convertible.");
if (t < 0) t = t + n;
return t;
}
private static byte[] CopyAndReverse(byte[] data)
{
byte[] reversed = new byte[data.Length];
Array.Copy(data, 0, reversed, 0, data.Length);
Array.Reverse(reversed);
return reversed;
}