implement key generation

src/Main.java

@@ -1,9 +1,16 @@
 import java.math.BigInteger;
 
 public class Main {
+    static BigInteger cipher (BigInteger message, BigInteger key, BigInteger module) {
+        return message.modPow(key, module);
+    }
     public static void main(String[] args) {
     BigInteger prime = Prime.generate(32);
     System.out.println("Finished - number is "+prime);
-
+    RSA test = new RSA (32);
+    test.createKeys();
+        System.out.println(String.format("public key: 0x%X", test.getPublicKey()));
+        System.out.println(String.format("private key: 0x%X", test.getPrivateKey()));
+        System.out.println(String.format("RSA module: 0x%X", test.getRSAModule()));
     }
 }

src/RSA.java

@@ -1,4 +1,3 @@
-public class RSA {
 //        p = 5, q = 11
 //        RSA-Modul N = p * q = 55
 //        Phi(N) = Phi(p)*Phi(q) | weil eigenschaft eulersche phi funktion und p,q teilerfremd
@@ -19,10 +18,65 @@ public class RSA {
 //    ----
 //        Entschlüsseln
 //                m = c^d (mod N) => 52^27 (mod 55) = 13 = m
-    public RSA() {
 
+import java.math.BigInteger;
+
+public class RSA {
+    private int bitLength;
+    private BigInteger p;
+    private BigInteger q;
+    private BigInteger n;
+    private BigInteger phiP;
+    private BigInteger phiQ;
+    private BigInteger phiN;
+    private BigInteger e;
+    private BigInteger d;
+
+    public RSA (int bitLength) {
+        this.bitLength = bitLength;
+        this.p = Prime.generate(bitLength);
+        this.q = Prime.generate(bitLength);
+        this.n = p.multiply(q);
+        this.phiP = p.subtract(BigInteger.ONE);
+        this.phiQ = q.subtract(BigInteger.ONE);
+        this.phiN = phiP.multiply(phiQ);
     }
 
+    private void findPublicKey () {
+        BigInteger check;
+        do {
+            this.e = Prime.generate(this.bitLength*2/3);
+            check = this.e.gcd(phiN);
+        } while (!check.equals(BigInteger.ONE));
+    }
 
+    private void findPrivateKey () {
+        this.d = e.modInverse(phiN);
+    }
 
+    private void endKeyCreation () {
+        this.p = BigInteger.ZERO;
+        this.q = BigInteger.ZERO;
+        this.phiP = BigInteger.ZERO;
+        this.phiQ = BigInteger.ZERO;
+        this.phiN = BigInteger.ZERO;
+    }
+
+    public void createKeys() {
+        this.findPublicKey();
+        this.findPrivateKey();
+        this.endKeyCreation();
+    }
+
+    public BigInteger getPublicKey () {
+        return e;
+    }
+
+    public BigInteger getPrivateKey () {
+        return d;
+    }
+
+    public BigInteger getRSAModule() {
+        return n;
+    }
 }