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56 changes: 56 additions & 0 deletions RSA.java
Original file line number Diff line number Diff line change
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// Java Program to Implement the RSA Algorithm
import java.math.*;
import java.util.*;

class RSA {

public static void main(String args[]) {
Scanner sc = new Scanner(System.in);
int p, q, n, z, d = 0, e, i;
System.out.println("Enter the number to be encrypted and decrypted");
int msg = sc.nextInt();

double c;
BigInteger msgback;
System.out.println("Enter 1st prime number p");
p = sc.nextInt();
System.out.println("Enter 2nd prime number q");
q = sc.nextInt();

n = p * q;
z = (p - 1) * (q - 1);
System.out.println("the value of z = " + z);

for (e = 2; e < z; e++) {
// e is for public key exponent
if (gcd(e, z) == 1) {
break;
}
}
System.out.println("the value of e = " + e);
for (i = 0; i <= 9; i++) {
int x = 1 + (i * z);

// d is for private key exponent
if (x % e == 0) {
d = x / e;
break;
}
}
System.out.println("the value of d = " + d);
c = (Math.pow(msg, e)) % n;
System.out.println("Encrypted message is : " + c);

// converting int value of n to BigInteger
BigInteger N = BigInteger.valueOf(n);

// converting float value of c to BigInteger
BigInteger C = BigDecimal.valueOf(c).toBigInteger();
msgback = (C.pow(d)).mod(N);
System.out.println("Decrypted message is : " + msgback);
}

static int gcd(int e, int z) {
if (e == 0) return z; else return gcd(z % e, e);
}
}