private void button3_Click(object sender, EventArgs e)
{
FpPoint G = (FpPoint)parameters.G;
BigInteger k = (new BigInteger(random.Next(1, parameters.N.BitCount - 1), random)).Add(BigInteger.One);
tbk.Text = k.ToString(16);
FpPoint C = (FpPoint)G.Multiply(k);
tbCX.Text = C.X.ToBigInteger().ToString(16);
tbCY.Text = C.Y.ToBigInteger().ToString(16);
}
private void button5_Click(object sender, EventArgs e)
{
FpPoint G = (FpPoint)parameters.G;
FpPoint Q = new FpPoint(curve, new FpFieldElement(mod_p, TextBoxToBigInteger16(tbValPublicX)), new FpFieldElement(mod_p, TextBoxToBigInteger16(tbValPublicY)));
FpPoint C = new FpPoint(curve, new FpFieldElement(mod_p, TextBoxToBigInteger16(tbCX)), new FpFieldElement(mod_p, TextBoxToBigInteger16(tbCY)));
BigInteger mu = TextBoxToBigInteger16(tbVoterMu);
BigInteger epsilon = TextBoxToBigInteger16(tbVoterEpsilon);
BigInteger delta = TextBoxToBigInteger16(tbVoterDelta);
BigInteger tau = TextBoxToBigInteger16(tbVoterTau);
BigInteger q = parameters.N;
FpPoint Cs = (FpPoint)G.Multiply(epsilon).Add(Q.Multiply(mu)).Add(C.Multiply(delta.ModInverse(q)));
tbCsX.Text = Cs.X.ToBigInteger().ToString(16);
tbCsY.Text = Cs.Y.ToBigInteger().ToString(16);
}
private void button3_Click(object sender, EventArgs e) //генерация K - G etc.
{
FpPoint G = (FpPoint)parameters.G;
BigInteger k = (new BigInteger(random.Next(1, parameters.N.BitCount - 1), random)).Add(BigInteger.One);
tbk.Text = k.ToString(16);
FpPoint C = (FpPoint)G.Multiply(k);
tbCX.Text = C.X.ToBigInteger().ToString(16);
tbCY.Text = C.Y.ToBigInteger().ToString(16);
BigInteger mu = (new BigInteger(random.Next(1, parameters.N.BitCount - 1), random)).Add(BigInteger.One);
BigInteger epsilon = (new BigInteger(random.Next(1, parameters.N.BitCount - 1), random)).Add(BigInteger.One);
BigInteger delta = (new BigInteger(random.Next(1, parameters.N.BitCount - 1), random)).Add(BigInteger.One);
BigInteger tau = (new BigInteger(random.Next(1, parameters.N.BitCount - 1), random)).Add(BigInteger.One);
tbVoterMu.Text = mu.ToString(16);
tbVoterEpsilon.Text = epsilon.ToString(16);
tbVoterDelta.Text = delta.ToString(16);
tbVoterTau.Text = tau.ToString(16);
}
public FpPoint Exctract(string ID, bool decrypt = false)
{
if (decrypt)
{
string sStr = File.ReadAllText("mk");
s = int.Parse(sStr);
}
// y^2 = x^3 + 117050x^2 + x
BigInteger x = GeneralFunctions.H1hash(ID, p);
BigInteger y = x.Pow(3).Add(x.Pow(2).Multiply(new BigInteger("117050", 10))).Add(x).Pow(2).ModInverse(p);
FpFieldElement x_Qid = new FpFieldElement(q, x);
FpFieldElement y_Qid = new FpFieldElement(q, y);
FpPoint Qid = new FpPoint(E, x_Qid, y_Qid);
FpPoint d_id = (FpPoint)Qid.Multiply(new BigInteger(s.ToString(), 10));
// privatni ključ
return(d_id);
}
public Setup()
{
n = 3;
do
{
Random r = new Random();
s = r.Next(1, int.MaxValue - 1);
} while (s == 0);
// p i q
p = new BigInteger("115792089237316195423570985008687907853269984665640564039457584007908834671663", 10);
//q = p.Pow(n);
q = p;
k = new BigInteger("115792089237316195423570985008687907852837564279074904382605163141518161494337", 10);
// E - krivulja secp256k1 - y ^ 2 = x ^ 3 + 0*x + 7
BigInteger a = new BigInteger("0", 10);
BigInteger b = new BigInteger("7", 10);
E = new FpCurve(q, a, b);
// P
BigInteger x1 = new BigInteger("55066263022277343669578718895168534326250603453777594175500187360389116729240", 10);
BigInteger y1 = new BigInteger("32670510020758816978083085130507043184471273380659243275938904335757337482424", 10);
FpFieldElement x = (FpFieldElement)E.FromBigInteger(x1); // new FpFieldElement(q, x1);
FpFieldElement y = (FpFieldElement)E.FromBigInteger(y1); // new FpFieldElement(q, y1);
P = new FpPoint(E, x, y);
BigInteger mtp = new BigInteger(s.ToString(), 10);
Ppub = (FpPoint)P.Multiply(mtp);
File.WriteAllText("mk", s.ToString() + Environment.NewLine);
}
public Cypher GetCypher(string message)
{
BigInteger x = GeneralFunctions.H1hash(ID, prim);
BigInteger y = x.Pow(3).Add(new BigInteger("7", 10)).Pow(2).ModInverse(prim);
FpFieldElement x_Qid = new FpFieldElement(E.Q, x);
FpFieldElement y_Qid = new FpFieldElement(E.Q, y);
FpPoint Qid = new FpPoint(E, x_Qid, y_Qid);
int r = 0;
do
{
Random rnd = new Random();
r = rnd.Next(1, int.MaxValue - 1);
} while (r == 0);
FpPoint rP = (FpPoint)P.Multiply(new BigInteger(r.ToString(), 10));
BigInteger gid = GeneralFunctions.Pair(Qid, Ppub, k, prim);
gid = gid.ModPow(new BigInteger(r.ToString(), 10), prim);
char[] M = message.ToCharArray();
char[] cArray = new char[M.Length];
char[] hash = GeneralFunctions.H2hash(gid, prim).ToCharArray();
for (int i = 0; i < message.Length; i++)
{
cArray[i] = (char)(M[i] ^ hash[i % hash.Length]);
}
string c = new String(cArray);
return(new Cypher {
U = rP, V = c
});
}
public static bool Verify(byte[] msg, byte[] signData, byte[] certData)
{
var x5092 = new System.Security.Cryptography.X509Certificates.X509Certificate2(certData);
byte[] certPK = x5092.GetPublicKey();
certPK = ByteUtils.SubBytes(certPK, 1, 64);
byte[] certPKX = ByteUtils.SubBytes(certPK, certPK.Length - 32 - 32, 32);
byte[] certPKY = ByteUtils.SubBytes(certPK, certPK.Length - 32, 32);
System.String strcertPKX = ByteUtils.ByteArrayToHex(certPKX);
System.String strcertPKY = ByteUtils.ByteArrayToHex(certPKY);
BigInteger biX = new BigInteger(strcertPKX, 16);
BigInteger biY = new BigInteger(strcertPKY, 16);
ECFieldElement x = new FpFieldElement(SM2CryptoServiceProvider.Instance.ecc_p, biX);
ECFieldElement y = new FpFieldElement(SM2CryptoServiceProvider.Instance.ecc_p, biY);
ECPoint userKey = new FpPoint(SM2CryptoServiceProvider.Instance.ecc_curve, x, y);
SM3Digest sm3 = new SM3Digest();
byte[] z = SM2CryptoServiceProvider.Instance.Sm2GetZ(Encoding.Default.GetBytes(SM2CryptoServiceProvider.Instance.userId), userKey);
sm3.BlockUpdate(z, 0, z.Length);
byte[] p = msg;
sm3.BlockUpdate(p, 0, p.Length);
byte[] md = new byte[32];
sm3.DoFinal(md, 0);
byte[] btR = ByteUtils.SubBytes(signData, 0, 32);
byte[] btS = ByteUtils.SubBytes(signData, 32, 32);
System.String strR = ByteUtils.ByteArrayToHex(btR);
System.String strS = ByteUtils.ByteArrayToHex(btS);
BigInteger r = new BigInteger(strR, 16);
BigInteger s = new BigInteger(strS, 16);
// e_
BigInteger e = new BigInteger(1, md);
// t
BigInteger t = r.Add(s).Mod(SM2CryptoServiceProvider.Instance.ecc_n);
if (t.Equals(BigInteger.Zero))
{
return(false);
}
// x1y1
ECPoint x1y1 = SM2CryptoServiceProvider.Instance.ecc_point_g.Multiply(s);
x1y1 = x1y1.Add(userKey.Multiply(t));
// R
BigInteger R = e.Add(x1y1.X.ToBigInteger()).Mod(SM2CryptoServiceProvider.Instance.ecc_n);
return(r.Equals(R));
}
public override GroupElement Exponentiate(BigInteger exponent)
{
return(new ECElement(point.Multiply(exponent) as FpPoint));
}
private void button2_Click(object sender, EventArgs ea)
{
FpPoint G = (FpPoint)parameters.G;
FpPoint Q = new FpPoint(curve, new FpFieldElement(mod_p, TextBoxToBigInteger16(tbValPublicX)), new FpFieldElement(mod_p, TextBoxToBigInteger16(tbValPublicY)));
FpPoint C = new FpPoint(curve, new FpFieldElement(mod_p, TextBoxToBigInteger16(tbCX)), new FpFieldElement(mod_p, TextBoxToBigInteger16(tbCY)));
BigInteger mu = TextBoxToBigInteger16(tbVoterMu);
BigInteger epsilon = TextBoxToBigInteger16(tbVoterEpsilon);
BigInteger delta = TextBoxToBigInteger16(tbVoterDelta);
BigInteger tau = TextBoxToBigInteger16(tbVoterTau);
BigInteger q = parameters.N;
FpPoint Cs = (FpPoint)G.Multiply(epsilon).Add(Q.Multiply(mu)).Add(C.Multiply(delta.ModInverse(q)));
tbCsX.Text = Cs.X.ToBigInteger().ToString(16);
tbCsY.Text = Cs.Y.ToBigInteger().ToString(16);
BigInteger H = TextBoxToBigInteger16(tbH);
//BigInteger q = parameters.N;
//BigInteger mu = TextBoxToBigInteger16(tbVoterMu);
//BigInteger delta = TextBoxToBigInteger16(tbVoterDelta);
//BigInteger tau = TextBoxToBigInteger16(tbVoterTau);
BigInteger csx = TextBoxToBigInteger16(tbCsX);
BigInteger rs = csx.Mod(q);
BigInteger es = H.Mod(q);
BigInteger r = (tau.Multiply(delta).Multiply(rs.Add(mu.Multiply(es)))).Mod(q);
BigInteger e = (es.Multiply(tau)).Mod(q);
tbrs.Text = rs.ToString(16);
tbr.Text = r.ToString(16);
tbes.Text = es.ToString(16);
tbe.Text = e.ToString(16);
BigInteger k = TextBoxToBigInteger16(tbk);
//BigInteger e = TextBoxToBigInteger16(tbe);
BigInteger d = TextBoxToBigInteger16(tbValPrivate);
//BigInteger r = TextBoxToBigInteger16(tbr);
//BigInteger q = parameters.N;
BigInteger s = (k.Multiply(e).Add(d.Multiply(r))).Mod(q);
tbs.Text = s.ToString(16);
BigInteger ss = (s.Multiply(delta.ModInverse(q)).Multiply(tau.ModInverse(q)).Mod(q).Add(epsilon.Multiply(es).Mod(q))).Mod(q);
tbss.Text = ss.ToString(16);
ECGost3410Signer signer = new ECGost3410Signer();
ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
"ECGOST3410",
new FpPoint(curve,
new FpFieldElement(mod_p, TextBoxToBigInteger16(tbValPublicX)), // x
new FpFieldElement(mod_p, TextBoxToBigInteger16(tbValPublicY))), // y
parameters);
//BigInteger H = TextBoxToBigInteger16(tbH);
//BigInteger rs = TextBoxToBigInteger16(tbrs);
//BigInteger ss = TextBoxToBigInteger16(tbss);
//BigInteger q = parameters.N;
//FpPoint G = (FpPoint)parameters.G;
//FpPoint Q = new FpPoint(curve, new FpFieldElement(mod_p, TextBoxToBigInteger16(tbValPublicX)), new FpFieldElement(mod_p, TextBoxToBigInteger16(tbValPublicY)));
//BigInteger e = H.Mod(q);
byte[] ee = e.ToByteArray();
byte[] message = H.ToByteArray();
Array.Reverse(message);
signer.Init(false, pubKey);
MessageBox.Show(signer.VerifySignature(message, rs, ss).ToString(), "Проверка подписи");
//FpPoint C = (FpPoint)(G.Multiply(e.ModInverse(q).Multiply(ss).Mod(q)).Subtract(Q.Multiply(e.ModInverse(q).Multiply(rs).Mod(q))));
//BigInteger x = C.X.ToBigInteger();
}
