Exemplo n.º 1
0
        public void RunTest()
        {
            // Done by sender
            //BigInteger p = 2357;
            BigInteger p = this.GenerateP(32);
            //BigInteger alpha = 2;
            BigInteger alpha = Helpers.GetRandomBigInteger(1, p - 1);
            //BigInteger a = 1751;
            BigInteger        a          = Helpers.GetRandomBigInteger(1, p - 2);
            BigInteger        alphaToA   = Helpers.SquareAndMultiply(alpha, a, p);
            ElGamalPublicKey  publicKey  = new ElGamalPublicKey(p, alpha, alphaToA);
            ElGamalPrivateKey privateKey = new ElGamalPrivateKey(a);

            // Done by receiver
            int message = 2035;
            //BigInteger k = 1520; // Random number 1 <= k <= p-2
            BigInteger k     = Helpers.GetRandomBigInteger(1, p - 2); // Random number 1 <= k <= p-2
            BigInteger gamma = Helpers.SquareAndMultiply(alpha, k, p);
            BigInteger delta = (message * Helpers.SquareAndMultiply(publicKey.AlphaToA, k, p)) % p;
            Tuple <BigInteger, BigInteger> cipherText = new Tuple <BigInteger, BigInteger>(gamma, delta);

            // Done by receiver
            BigInteger gammaToTheNegativeA = Helpers.SquareAndMultiply(gamma, (p - 1 - a), p);

            BigInteger plainText = gammaToTheNegativeA * delta % p;

            Console.WriteLine("plainText: " + message);
            Console.WriteLine("cipherText: (" + gamma + "," + delta + ")");
            Console.WriteLine("plainText: " + plainText);
        }
Exemplo n.º 2
0
        public Tuple <BigInteger, BigInteger> Encrypt(string plainText, ElGamalPublicKey publicKey)
        {
            byte[] plainTextAsBytes = Encoding.UTF8.GetBytes(plainText);

            BigInteger plainTextAsNumber = new BigInteger(plainTextAsBytes);

            if (plainTextAsNumber > publicKey.P)
            {
                throw new Exception("The Master Key cannot exceed n");
            }

            BigInteger k     = Helpers.GetRandomBigInteger(1, publicKey.P - 2);
            BigInteger gamma = Helpers.SquareAndMultiply(publicKey.Alpha, k, publicKey.P);
            BigInteger delta = (plainTextAsNumber * Helpers.SquareAndMultiply(publicKey.AlphaToA, k, publicKey.P)) % publicKey.P;
            Tuple <BigInteger, BigInteger> cipherText = new Tuple <BigInteger, BigInteger>(gamma, delta);

            return(cipherText);
        }
Exemplo n.º 3
0
        public List <Tuple <BigInteger, BigInteger> > EncryptWithChunking(string plainText, ElGamalPublicKey publicKey)
        {
            List <string> plainTextChunks = new List <string>();

            chunkIfRequired(plainText, publicKey.P, plainTextChunks);

            List <Tuple <BigInteger, BigInteger> > encryptedChunks = new List <Tuple <BigInteger, BigInteger> >();

            BigInteger k     = Helpers.GetRandomBigInteger(1, publicKey.P - 2);
            BigInteger gamma = Helpers.SquareAndMultiply(publicKey.Alpha, k, publicKey.P);

            foreach (string chunk in plainTextChunks)
            {
                byte[]     chunkAsBytes  = Encoding.UTF8.GetBytes(chunk);
                BigInteger chunkAsNumber = new BigInteger(chunkAsBytes);

                BigInteger delta = (chunkAsNumber * Helpers.SquareAndMultiply(publicKey.AlphaToA, k, publicKey.P)) % publicKey.P;
                Tuple <BigInteger, BigInteger> encryptedChunk = new Tuple <BigInteger, BigInteger>(gamma, delta);

                encryptedChunks.Add(encryptedChunk);
            }

            return(encryptedChunks);
        }