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ECC.java
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161 lines (137 loc) · 5.84 KB
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package ECC;
import java.math.BigInteger;
import java.util.HashMap;
import java.util.Random;
public class ECC {
public static int PAD = 5;
public static final Random r = new Random();
private HashMap<Point, Integer> pointTable;
private HashMap<Integer, Point> charTable;
private Encoder mEncoder;
private Decoder mDecoder;
public ECC(EllipticCurve c) {
initCodeTable(c);
this.mEncoder = new Encoder(charTable);
this.mDecoder = new Decoder(pointTable);
}
public static Random getRandom() {
return r;
}
private int[] encrypt(String msg, PublicKey key) {
EllipticCurve c = key.getCurve();
Point g = c.getBasePoint();
Point publicKey = key.getKey();
BigInteger p = c.getP();
int numBits = p.bitLength();
BigInteger k;
do {
k = new BigInteger(numBits, getRandom());
} while (k.mod(p).compareTo(BigInteger.ZERO) == 0);
Point sharedSecret = c.multiply(publicKey, k);
Point keyHint = c.multiply(g, k); // key to send
System.out.println("----------------- Encryption process -----------------");
System.out.println(c);
System.out.println("Mesage to encrypt, m = " + msg);
System.out.println("Bob's public key, Pb = " + publicKey);
System.out.println("Alice's private key, k = " + k);
System.out.println("The ecryption key, sharedSecret = k * Pb = " + sharedSecret);
System.out.println("The hint to compute sharedSecret for bob, keyHint = " + keyHint);
Matrix mMatrix = mEncoder.encode(msg);
mMatrix.performAddition(Helpers.toBinary(sharedSecret));
System.out.println("sharedSecret binary format :");
Helpers.print(Helpers.toBinary(sharedSecret));
System.out.println("4) encrypt the matrix with sharedSecret (code addition)");
System.out.println(mMatrix);
return mMatrix.toArray(Helpers.toBinary(keyHint));
}
private String decrypt(int[] cipherText, PrivateKey key) {
EllipticCurve c = key.getCurve();
Point g = c.getBasePoint();
BigInteger privateKey = key.getKey();
BigInteger p = c.getP();
Point keyHint = Point.make(cipherText);
Point sharedSecret = c.multiply(keyHint, privateKey);
System.out.println("\n----------------- Decryption process -----------------");
System.out.println("1) Bob receive this :");
Helpers.print(cipherText);
System.out.println("");
System.out.println("2) Extract keyhint and the matrix C");
System.out.println("KeyHint = "+keyHint);
//get the decypted matrix
Matrix mMatrix = Matrix.make(cipherText);
System.out.println("C = ");
System.out.println(mMatrix);
//substract the key form the matrix
mMatrix.performSubstraction(Helpers.toBinary(sharedSecret));
System.out.println("Matrix after substraction");
System.out.println(mMatrix);
//decode the matrix
System.out.println("3) Reverse Matrix Scrambling");
return mDecoder.decode(mMatrix);
}
/**
* Generate a random key-pair, given the elliptic curve being used.
*/
public static KeyPair generateKeyPair(EllipticCurve c) {
// Randomly select the private key, such that it is relatively prime to p
BigInteger p = c.getP();
BigInteger privateKey;
do {
privateKey = new BigInteger(p.bitLength(), getRandom());
} while (privateKey.mod(p).compareTo(BigInteger.ZERO) == 0);
// Calculate the public key, k * g.
Point g = c.getBasePoint();
Point publicKey = c.multiply(g, privateKey);
return new KeyPair(
new PublicKey(c, publicKey),
new PrivateKey(c, privateKey)
);
}
public final void initCodeTable(EllipticCurve curve) {
charTable = new HashMap<>();
pointTable = new HashMap<>();
Point p = curve.getBasePoint();
for (int i = 1; i < 27; i++) {
do {
p = curve.multiply(curve.getBasePoint(), i);
} while (p.isInfinity());
charTable.put(i + 96, p); // 0 here refers to char 97 witch is a
}
//special characters
charTable.put(32, Point.getInfinity()); //space
int[] codeAscii = new int[]{10, 13, 39, 40, 41, 44, 46, 58, 59};
for (int i : codeAscii) {
p = curve.add(p, curve.getBasePoint());
charTable.put(i, p);
}
//populate the points symbol table
for (Integer key : charTable.keySet()) {
pointTable.put(charTable.get(key), key);
}
}
public void displayCodeTable() {
System.out.println("------ Code Table -------");
charTable.forEach((cle, val) -> {
System.out.println((char) cle.intValue() + " -> " + val);
});
}
public static void main(String[] args) {
EllipticCurve c = new EllipticCurve(4, 20, 29, new Point(1, 5));
ECC ecc = new ECC(c);
ecc.displayCodeTable();
String msg = "i understood the importance in principle of public key cryptography, but it is all moved much faster than i expected i did not expect it to be a mainstay of advanced communications technology";
msg = "hi there";
// generate pair of keys
KeyPair keys = generateKeyPair(c);
// encrypt the msg
int[] cipherText = ecc.encrypt(msg, keys.getPublicKey());
System.out.println("5) Alice send this to Bob:");
Helpers.print(cipherText);
// decrypt the result
String plainText = ecc.decrypt(cipherText, keys.getPrivateKey());
System.out.println("\n5) Translate each point to a carracter");
//System.out.println("Cipher : ");
//Helpers.print(cipherText);
System.out.println("Plain text : \n" + plainText);
}
}