public EncriptionResult EncryptEncodedNumber(ECCPoint encodedNumber, ECCPoint openKey)
{
var seancePrivateKey = GeneratePrivateKey(GeneratorPoint.PointDimention);
var left = ECCPoint.Multiply(seancePrivateKey, GeneratorPoint); //tip for decryption
var right = encodedNumber + ECCPoint.Multiply(seancePrivateKey, openKey); //encrypted point
return(new EncriptionResult(left, right));
}
public ECCKey GenerateKey()
{
var key = new ECCKey();
key.PrivateKey = GeneratePrivateKey(GeneratorPoint.PointDimention);
key.OpenKey = ECCPoint.Multiply(key.PrivateKey, GeneratorPoint);
key.P = GeneratorPoint.Curve.FieldModule;
key.G = GeneratorPoint;
return(key);
}
public ECCPoint CreatePoint()
{
Random random = new Random();
var bytes = new byte[64];
random.NextBytes(bytes);
var privateKey = new mpz_t(bytes, 0) % GeneratorPoint.PointDimention;
if (privateKey < 0)
{
privateKey = privateKey * -1;
}
return(ECCPoint.Multiply(privateKey, GeneratorPoint));
}
public static ECCPoint Double(ECCPoint point)
{
var pointX = new mpz_t(point.X);
var pointY = new mpz_t(point.Y);
var module = new mpz_t(point.Curve.FieldModule);
var curveAkof = new mpz_t(point.Curve.A);
if (point == O)
{
return(O);
}
var dy = 3 * pointX * pointX + curveAkof;
var dx = 2 * pointY;
if (dx < 0)
{
dx += module;
}
if (dy < 0)
{
dy += module;
}
var dxInverse = dx.InvertMod(module);// BigInteger.ModPow(dx, curve.FieldModule - 2, curve.FieldModule);
var m = (dy * dxInverse) % module;
var resultX = (m * m - pointX - pointX) % module;
var resultY = (m * (pointX - resultX) - pointY) % module;
if (resultX < 0)
{
resultX += module;
}
if (resultY < 0)
{
resultY += module;
}
return(point.Curve.GetPoint(resultX, resultY));
}
public static ECCPoint Multiply(mpz_t x, ECCPoint p)
{
ECCPoint temp = p;
x = x - 1;
while (x != 0)
{
if ((x % 2) != 0)
{
if ((temp.X == p.X) || (temp.Y == p.Y))
{
temp = Double(temp);
}
else
{
temp = temp + p;
}
x = x - 1;
}
x = x / 2;
p = Double(p);
}
return(temp);
}
public EncriptionResult(ECCPoint left, ECCPoint right)
{
Left = left;
Right = right;
}