public override Boolean Verify(byte[] publicKey, byte[] message, byte[] signature, byte[] rgbContext = null)
{
EdDSAPoint A = DecodePoint(publicKey);
byte[] r = new byte[signature.Length / 2];
Array.Copy(signature, r, r.Length);
EdDSAPoint R = DecodePoint(r);
byte[] s = new byte[signature.Length / 2];
Array.Copy(signature, r.Length, s, 0, r.Length);
Array.Reverse(s);
BigInteger S = new BigInteger(1, s);
message = PreHash(message);
Sha512Digest sha256 = new Sha512Digest();
byte[] dom = Dom(rgbContext);
sha256.BlockUpdate(dom, 0, dom.Length);
sha256.BlockUpdate(r, 0, r.Length);
sha256.BlockUpdate(publicKey, 0, publicKey.Length);
sha256.BlockUpdate(message, 0, message.Length);
byte[] h = new byte[64];
sha256.DoFinal(h, 0);
Array.Reverse(h);
BigInteger k = new BigInteger(1, h).Mod(L);
EdDSAPoint left = EdDSAPoint25517.B.MultipleByScalar(S).Normalize();
EdDSAPoint right = EdDSAPoint25517.Add((EdDSAPoint25517)R, (EdDSAPoint25517)A.MultipleByScalar(k)).Normalize();
return(left.equal(right));
}
override public byte[] Encode()
{
EdDSAPoint25517 point = (EdDSAPoint25517)this.Normalize();
byte[] rgbY = new byte[32];
Array.Copy(point.Y.ToByteArrayUnsigned(), rgbY, rgbY.Length);
rgbY[0] |= (byte)(point.X.TestBit(0) ? 0x80 : 0);
Array.Reverse(rgbY);
return(rgbY);
}
public override byte[] Sign(byte[] publicKey, byte[] privateKey, byte[] M, byte[] rgbContext = null)
{
Sha512Digest sha512 = new Sha512Digest();
sha512.BlockUpdate(privateKey, 0, privateKey.Length);
byte[] h = new byte[sha512.GetDigestSize()];
sha512.DoFinal(h, 0);
byte[] x = new byte[32];
Array.Copy(h, x, 32);
x[0] &= 0xf8; // Clear lowest 3 bits
x[31] |= 0x40; // Set the highest bit
x[31] &= 0x7f; // Clear the highest bit
Array.Reverse(x);
byte[] prefix = new byte[32];
Array.Copy(h, 32, prefix, 0, 32);
BigInteger a = new BigInteger(1, x);
byte[] A = publicKey;
M = PreHash(M);
sha512.Reset();
byte[] dom = Dom(rgbContext);
sha512.BlockUpdate(dom, 0, dom.Length);
sha512.BlockUpdate(prefix, 0, prefix.Length);
sha512.BlockUpdate(M, 0, M.Length);
byte[] r1 = new byte[64];
sha512.DoFinal(r1, 0);
Array.Reverse(r1);
BigInteger r = new BigInteger(1, r1).Mod(L);
EdDSAPoint25517 rB = (EdDSAPoint25517)EdDSAPoint25517.B.MultipleByScalar(r);
byte[] R = rB.Encode();
sha512.Reset();
sha512.BlockUpdate(dom, 0, dom.Length);
sha512.BlockUpdate(R, 0, R.Length);
sha512.BlockUpdate(A, 0, A.Length);
sha512.BlockUpdate(M, 0, M.Length);
byte[] kBytes = new byte[64];
sha512.DoFinal(kBytes, 0);
Array.Reverse(kBytes);
BigInteger k = new BigInteger(1, kBytes).Mod(L);
BigInteger S = r.Add(k.Multiply(a)).Mod(L);
byte[] hash = new byte[64];
byte[] s = S.ToByteArrayUnsigned();
Array.Copy(s, 0, hash, 32 - s.Length, s.Length);
Array.Reverse(hash);
Array.Copy(R, hash, 32);
return(hash);
}
public override EdDSAPoint GetPublic(byte[] privateKey)
{
Sha512Digest sha512 = new Sha512Digest();
byte[] h = new byte[64];
sha512.BlockUpdate(privateKey, 0, 32);
sha512.DoFinal(h, 0);
Array.Resize(ref h, 32);
h[0] &= 0xf8; // Clear lowest 3 bits
h[31] |= 0x40; // Set the highest bit
h[31] &= 0x7f; // Clear the highest bit
Array.Reverse(h);
BigInteger a = new BigInteger(1, h);
EdDSAPoint25517 publicKey = (EdDSAPoint25517)EdDSAPoint25517.B.MultipleByScalar(a);
return(publicKey);
}
public override EdDSAPoint MultipleByScalar(BigInteger k)
{
int i;
EdDSAPoint25517 result = new EdDSAPoint25517(zero, one, one, zero);
EdDSAPoint25517 pNext = this;
for (i = 0; i < k.BitLength; i++)
{
if (k.TestBit(i))
{
result = Add(pNext, result);
}
pNext = pNext.Double();
}
return(result.Normalize());
}
static public EdDSAPoint25517 Add(EdDSAPoint25517 p1, EdDSAPoint25517 p2)
{
BigInteger A = p1.Y.Subtract(p1.X).Multiply(p2.Y.Subtract(p2.X)).Mod(p);
BigInteger B = p1.Y.Add(p1.X).Multiply(p2.Y.Add(p2.X)).Mod(p);
BigInteger C = p1.T.Multiply(Two).Multiply(d).Multiply(p2.T).Mod(p);
BigInteger D = p1.Z.Multiply(Two).Multiply(p2.Z).Mod(p);
BigInteger E = B.Subtract(A).Mod(p);
BigInteger F = D.Subtract(C).Mod(p);
BigInteger G = D.Add(C).Mod(p);
BigInteger H = B.Add(A).Mod(p);
BigInteger X3 = E.Multiply(F).Mod(p);
BigInteger Y3 = G.Multiply(H).Mod(p);
BigInteger T3 = E.Multiply(H).Mod(p);
BigInteger Z3 = F.Multiply(G).Mod(p);
return(new EdDSAPoint25517(X3, Y3, Z3, T3));
}