// Apply the public key to a value.
private byte[] ApplyPublic(byte[] value)
{
if (rsaParams.Modulus == null)
{
throw new CryptographicException
(_("Crypto_RSAParamsNotSet"));
}
return(CryptoMethods.NumPow(value, rsaParams.Exponent,
rsaParams.Modulus));
}
// Apply the private key to a value.
private byte[] ApplyPrivate(byte[] value)
{
if (rsaParams.P != null)
{
// Use the Chinese Remainder Theorem exponents.
// Based on the description in PKCS #1.
byte[] m1 = CryptoMethods.NumPow(value, rsaParams.DP,
rsaParams.P);
byte[] m2 = CryptoMethods.NumPow(value, rsaParams.DQ,
rsaParams.Q);
byte[] diff = CryptoMethods.NumSub(m1, m2, null);
byte[] h = CryptoMethods.NumMul(diff,
rsaParams.InverseQ,
rsaParams.P);
byte[] prod = CryptoMethods.NumMul(rsaParams.Q, h, null);
byte[] m = CryptoMethods.NumAdd(m2, prod, null);
// Clear all temporary values.
Array.Clear(m1, 0, m1.Length);
Array.Clear(m2, 0, m2.Length);
Array.Clear(diff, 0, diff.Length);
Array.Clear(h, 0, h.Length);
Array.Clear(prod, 0, prod.Length);
// Return the decrypted message.
return(m);
}
else if (rsaParams.D != null)
{
// Use the private exponent directly.
return(CryptoMethods.NumPow(value, rsaParams.D,
rsaParams.Modulus));
}
else
{
// Insufficient parameters for private key operations.
throw new CryptographicException
(_("Crypto_RSAParamsNotSet"));
}
}
// Verify a DSA signature.
public override bool VerifySignature(byte[] rgbHash, byte[] rgbSignature)
{
// Validate the parameters.
if (rgbHash == null)
{
throw new ArgumentNullException("rgbHash");
}
if (rgbSignature == null)
{
throw new ArgumentNullException("rgbSignature");
}
// Make sure that we have sufficient parameters to verify.
if (dsaParams.G == null)
{
throw new CryptographicException
(_("Crypto_DSAParamsNotSet"));
}
// Unpack the signature blob to get R and S.
ASN1Parser parser;
parser = (new ASN1Parser(rgbSignature)).GetSequence();
byte[] R = parser.GetBigInt();
byte[] S = parser.GetBigInt();
parser.AtEnd();
// Compute W = (S^-1 mod Q)
byte[] W = CryptoMethods.NumInv(S, dsaParams.Q);
// Compute U1 = ((hash * W) mod Q)
byte[] U1 = CryptoMethods.NumMul(rgbHash, W, dsaParams.Q);
// Compute U2 = ((R * W) mod Q)
byte[] U2 = CryptoMethods.NumMul(R, W, dsaParams.Q);
// Compute V = (((G^U1 * Y^U2) mod P) mod Q)
byte[] temp1 = CryptoMethods.NumPow
(dsaParams.G, U1, dsaParams.P);
byte[] temp2 = CryptoMethods.NumPow
(dsaParams.Y, U2, dsaParams.P);
byte[] temp3 = CryptoMethods.NumMul(temp1, temp2, dsaParams.P);
byte[] V = CryptoMethods.NumMod(temp3, dsaParams.Q);
// Determine if we have a signature match.
bool result = CryptoMethods.NumEq(V, R);
// Clear sensitive values.
Array.Clear(R, 0, R.Length);
Array.Clear(S, 0, S.Length);
Array.Clear(W, 0, W.Length);
Array.Clear(U1, 0, U1.Length);
Array.Clear(U2, 0, U2.Length);
Array.Clear(temp1, 0, temp1.Length);
Array.Clear(temp2, 0, temp2.Length);
Array.Clear(temp3, 0, temp3.Length);
Array.Clear(V, 0, V.Length);
// Done.
return(result);
}
// Create a DSA signature for the specified data.
public override byte[] CreateSignature(byte[] rgbHash)
{
// Validate the parameter.
if (rgbHash == null)
{
throw new ArgumentNullException("rgbHash");
}
// Check that we have sufficient DSA parameters to sign.
if (dsaParams.G == null)
{
throw new CryptographicException
(_("Crypto_DSAParamsNotSet"));
}
else if (dsaParams.X == null)
{
throw new CryptographicException
(_("Crypto_CannotSignWithPublic"));
}
// Generate a random K less than Q to use in
// signature generation. We guarantee less than
// by setting the high byte of K to at least one
// less than the high byte of Q.
int len = dsaParams.Q.Length;
byte[] K = new byte [len];
CryptoMethods.GenerateRandom(K, 1, K.Length - 1);
int index = 0;
while (index < len && K[index] >= dsaParams.Q[index])
{
if (dsaParams.Q[index] == 0)
{
K[index] = (byte)0;
++index;
}
else
{
K[index] = (byte)(dsaParams.Q[index] - 1);
break;
}
}
// Compute R = ((G^K mod P) mod Q)
byte[] temp1 = CryptoMethods.NumPow
(dsaParams.G, K, dsaParams.P);
byte[] R = CryptoMethods.NumMod(temp1, dsaParams.Q);
Array.Clear(temp1, 0, temp1.Length);
// Compute S = ((K^-1 * (hash + X * R)) mod Q)
temp1 = CryptoMethods.NumInv(K, dsaParams.Q);
byte[] temp2 = CryptoMethods.NumMul
(dsaParams.X, R, dsaParams.Q);
byte[] temp3 = CryptoMethods.NumAdd
(rgbHash, temp2, dsaParams.Q);
byte[] S = CryptoMethods.NumMul(temp1, temp3, dsaParams.Q);
Array.Clear(temp1, 0, temp1.Length);
Array.Clear(temp2, 0, temp2.Length);
Array.Clear(temp3, 0, temp3.Length);
Array.Clear(K, 0, K.Length);
// Pack R and S into a signature blob and return it.
ASN1Builder builder = new ASN1Builder();
builder.AddBigInt(R);
builder.AddBigInt(S);
byte[] sig = builder.ToByteArray();
Array.Clear(R, 0, R.Length);
Array.Clear(S, 0, S.Length);
return(sig);
}