上边那个基于EIGamal签名的盲签名算法的Java程序主函数怎么写
时间: 2024-03-06 08:49:30 浏览: 53
以下是一个基于EIGamal签名的盲签名算法的Java程序主函数示例:
```java
import java.math.BigInteger;
import java.security.SecureRandom;
public class Main {
public static void main(String[] args) {
// 生成大素数p和原根g
BigInteger[] pg = generatePG();
BigInteger p = pg[0];
BigInteger g = pg[1];
System.out.println("p: " + p);
System.out.println("g: " + g);
// 随机生成私钥x
BigInteger x = generatePrivateKey(p);
System.out.println("x: " + x);
// 计算公钥y
BigInteger y = g.modPow(x, p);
System.out.println("y: " + y);
// 生成消息m
BigInteger m = new BigInteger("123456789");
// 生成盲因子r
BigInteger r = generateBlindingFactor(p);
// 计算盲化消息h
BigInteger h = m.multiply(g.modPow(r, p)).mod(p);
System.out.println("h: " + h);
// 签名盲化消息h
BigInteger[] signature = sign(h, p, g, x);
BigInteger s1 = signature[0];
BigInteger s2 = signature[1];
System.out.println("s1: " + s1);
System.out.println("s2: " + s2);
// 计算解盲因子u
BigInteger u = r.modInverse(p);
System.out.println("u: " + u);
// 计算解盲后的签名s
BigInteger s = s1.multiply(u).mod(p);
System.out.println("s: " + s);
// 验证签名
boolean verified = verify(s, m, y, g, p);
System.out.println("verified: " + verified);
}
// 生成大素数p和原根g
public static BigInteger[] generatePG() {
SecureRandom random = new SecureRandom();
BigInteger p, g;
do {
p = BigInteger.probablePrime(512, random);
g = new BigInteger("2").modPow(p.subtract(BigInteger.ONE).divide(new BigInteger("2")), p);
} while (g.equals(BigInteger.ONE));
return new BigInteger[]{p, g};
}
// 随机生成私钥x
public static BigInteger generatePrivateKey(BigInteger p) {
SecureRandom random = new SecureRandom();
BigInteger x;
do {
x = new BigInteger(p.bitLength(), random);
} while (x.compareTo(BigInteger.ZERO) <= 0 || x.compareTo(p.subtract(BigInteger.ONE)) >= 0);
return x;
}
// 生成盲因子r
public static BigInteger generateBlindingFactor(BigInteger p) {
SecureRandom random = new SecureRandom();
BigInteger r;
do {
r = new BigInteger(p.bitLength(), random);
} while (r.compareTo(BigInteger.ZERO) <= 0 || r.compareTo(p.subtract(BigInteger.ONE)) >= 0);
return r;
}
// 签名盲化消息h
public static BigInteger[] sign(BigInteger h, BigInteger p, BigInteger g, BigInteger x) {
SecureRandom random = new SecureRandom();
BigInteger k;
do {
k = new BigInteger(p.bitLength(), random);
} while (k.compareTo(BigInteger.ZERO) <= 0 || k.compareTo(p.subtract(BigInteger.ONE)) >= 0);
BigInteger s1 = g.modPow(k, p);
BigInteger s2 = h.subtract(x.multiply(s1)).multiply(k.modInverse(p.subtract(BigInteger.ONE))).mod(p.subtract(BigInteger.ONE));
return new BigInteger[]{s1, s2};
}
// 验证签名
public static boolean verify(BigInteger s, BigInteger m, BigInteger y, BigInteger g, BigInteger p) {
BigInteger v1 = g.modPow(m, p);
BigInteger v2 = y.modPow(s, p);
BigInteger v3 = v1.multiply(v2).mod(p);
BigInteger v4 = g.modPow(s, p);
return v3.equals(v4);
}
}
```
该示例中,首先生成大素数p和原根g,然后随机生成私钥x,计算公钥y,生成消息m和盲因子r,计算盲化消息h,签名盲化消息h,计算解盲因子u和解盲后的签名s,最后验证签名。
请注意,该示例仅供参考,实际使用中还需要进行更严格的安全性检查和错误处理。
阅读全文