用Java模拟diffie-hellman算法
时间: 2023-11-26 18:05:21 浏览: 99
好的,下面是一个简单的Java代码实现Diffie-Hellman算法:
```java
import java.math.BigInteger;
import java.security.SecureRandom;
public class DiffieHellman {
private BigInteger p; //大质数
private BigInteger g; //原根
private BigInteger a; //私钥
private BigInteger A; //公钥
//构造函数
public DiffieHellman(BigInteger p, BigInteger g) {
this.p = p;
this.g = g;
this.a = new BigInteger(128, new SecureRandom()); //生成一个128位的随机数作为私钥
this.A = g.modPow(a, p); //计算公钥
}
//计算共享秘密
public BigInteger getSharedSecret(BigInteger B) {
return B.modPow(a, p); //B的a次方模p
}
public BigInteger getP() {
return p;
}
public BigInteger getG() {
return g;
}
public BigInteger getA() {
return a;
}
public BigInteger getA() {
return A;
}
}
```
使用方法如下:
```java
public static void main(String[] args) {
BigInteger p = new BigInteger("FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1"
+ "29024E088A67CC74020BBEA63B139B22514A08798E3404DD"
+ "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245"
+ "E485B576625E7EC6F44C42E9A63A3620FFFFFFFFFFFFFFFF", 16); //大质数
BigInteger g = BigInteger.valueOf(2); //原根
DiffieHellman alice = new DiffieHellman(p, g); //Alice生成公钥、私钥
DiffieHellman bob = new DiffieHellman(p, g); //Bob生成公钥、私钥
BigInteger A = alice.getA(); //Alice将公钥A发送给Bob
BigInteger B = bob.getA(); //Bob将公钥B发送给Alice
BigInteger aliceSharedSecret = alice.getSharedSecret(B); //Alice计算共享秘密
BigInteger bobSharedSecret = bob.getSharedSecret(A); //Bob计算共享秘密
System.out.println("Alice's private key: " + alice.getA().toString(16));
System.out.println("Bob's private key: " + bob.getA().toString(16));
System.out.println("Alice's public key: " + A.toString(16));
System.out.println("Bob's public key: " + B.toString(16));
System.out.println("Alice's shared secret: " + aliceSharedSecret.toString(16));
System.out.println("Bob's shared secret: " + bobSharedSecret.toString(16));
}
```
其中,`p`和`g`分别为大质数和原根,可以自行定义。在实际应用中,一般使用更大的质数和位数。Alice和Bob分别生成公钥和私钥,通过交换公钥来计算共享秘密。最后打印私钥、公钥和共享秘密。
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