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RSA

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package com.thealgorithms.ciphers;

import javax.swing.*;
import java.math.BigInteger;
import java.security.SecureRandom;

/**
 * @author Nguyen Duy Tiep on 23-Oct-17.
 */
public final class RSA {

    public static void main(String[] args) {

        RSA rsa = new RSA(1024);
        String text1 = JOptionPane.showInputDialog("Enter a message to encrypt :");

        String ciphertext = rsa.encrypt(text1);
        JOptionPane.showMessageDialog(null, "Your encrypted message : " + ciphertext);

        JOptionPane.showMessageDialog(null, "Your message after decrypt : " + rsa.decrypt(ciphertext));
    }

    private BigInteger modulus, privateKey, publicKey;

    public RSA(int bits) {
        generateKeys(bits);
    }

    /**
     * @return encrypted message
     */
    public synchronized String encrypt(String message) {
        return (new BigInteger(message.getBytes())).modPow(publicKey, modulus).toString();
    }

    /**
     * @return encrypted message as big integer
     */
    public synchronized BigInteger encrypt(BigInteger message) {
        return message.modPow(publicKey, modulus);
    }

    /**
     * @return plain message
     */
    public synchronized String decrypt(String encryptedMessage) {
        return new String((new BigInteger(encryptedMessage)).modPow(privateKey, modulus).toByteArray());
    }

    /**
     * @return plain message as big integer
     */
    public synchronized BigInteger decrypt(BigInteger encryptedMessage) {
        return encryptedMessage.modPow(privateKey, modulus);
    }

    /**
     * Generate a new public and private key set.
     */
    public synchronized void generateKeys(int bits) {
        SecureRandom r = new SecureRandom();
        BigInteger p = new BigInteger(bits / 2, 100, r);
        BigInteger q = new BigInteger(bits / 2, 100, r);
        modulus = p.multiply(q);

        BigInteger m = (p.subtract(BigInteger.ONE)).multiply(q.subtract(BigInteger.ONE));

        publicKey = new BigInteger("3");

        while (m.gcd(publicKey).intValue() > 1) {
            publicKey = publicKey.add(new BigInteger("2"));
        }

        privateKey = publicKey.modInverse(m);
    }
}