用JavaScript 写 SM2算法
时间: 2024-06-08 21:06:56 浏览: 24
SM2是一种国密算法,用于椭圆曲线数字签名和加密。在JavaScript中实现SM2算法需要使用大数运算库和椭圆曲线库。
以下是一个使用jsbn和ec库实现SM2算法的示例代码:
```javascript
// 导入所需库
var BigInteger = require('jsbn').BigInteger;
var ec = require('ec');
// 定义SM2椭圆曲线参数
var p = new BigInteger('FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF', 16);
var a = new BigInteger('FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFC', 16);
var b = new BigInteger('28E9FA9E9D9F5E344D5A9E4BCF6509A7F39789F515AB8F92DDBCBD414D940E93', 16);
var n = new BigInteger('FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123', 16);
var h = new BigInteger('1', 16);
var Gx = new BigInteger('32C4AE2C1F1981195F9904466A39C9948FE30BBFF2660BE171F9593F4FEFFFFC', 16);
var Gy = new BigInteger('BC3736A2F4F6779C59BDCEE36B692153D0A9877CC62A474002DF32E52139F0A0', 16);
// 初始化椭圆曲线
var curve = new ec.ECCurveFp(p, a, b);
var G = new ec.ECPointFp(curve, new ec.ECFieldElementFp(Gx, p), new ec.ECFieldElementFp(Gy, p));
// 定义hash函数
function sm3(msg) {
// 省略SM3算法实现
return hash;
}
// 定义加密函数
function sm2Encrypt(pubKey, msg) {
var pubPoint = ec.ECPointFp.decodeFromHex(curve, pubKey);
var k = new BigInteger(n.bitLength(), new SecureRandom());
var C1 = G.multiply(k);
var C2 = pubPoint.multiply(k).add(ec.ECPointFp.decodeFromHex(curve, sm3(msg)).multiply(h));
var C3 = sm3(concat(C1.getX().toBigInteger().toByteArray(), C1.getY().toBigInteger().toByteArray(), C2.getX().toBigInteger().toByteArray(), C2.getY().toBigInteger().toByteArray()));
return C1.getX().toBigInteger().toString(16) + C1.getY().toBigInteger().toString(16) + C2.getX().toBigInteger().toString(16) + C2.getY().toBigInteger().toString(16) + C3;
}
// 定义解密函数
function sm2Decrypt(privKey, ciphertext) {
var d = new BigInteger(privKey, 16);
var C1 = ec.ECPointFp.decodeFromHex(curve, ciphertext.substring(0, 64) + ciphertext.substring(64, 128));
var C2 = ec.ECPointFp.decodeFromHex(curve, ciphertext.substring(128, 192) + ciphertext.substring(192, ciphertext.length - 64));
var C3 = ciphertext.substring(ciphertext.length - 64);
var t = C1.multiply(d).negate();
var hash = sm3(concat(C1.getX().toBigInteger().toByteArray(), C1.getY().toBigInteger().toByteArray(), C2.getX().toBigInteger().toByteArray(), C2.getY().toBigInteger().toByteArray()));
if (C3 != hash) {
throw new Error('Invalid ciphertext');
}
return t.add(C2);
}
// 定义签名函数
function sm2Sign(privKey, msg) {
var d = new BigInteger(privKey, 16);
var e = new BigInteger(sm3(msg), 16);
var k = null;
var r = null;
var s = null;
do {
do {
k = new BigInteger(n.bitLength(), new SecureRandom());
var P = G.multiply(k);
r = e.add(P.getX().toBigInteger()).mod(n);
} while (r.equals(BigInteger.ZERO) || r.add(k).equals(n));
var d_1 = d.modInverse(n);
s = r.multiply(d_1).add(k.multiply(d_1).multiply(e)).mod(n);
} while (s.equals(BigInteger.ZERO));
return r.toString(16) + s.toString(16);
}
// 定义验签函数
function sm2Verify(pubKey, msg, signature) {
var pubPoint = ec.ECPointFp.decodeFromHex(curve, pubKey);
var r = new BigInteger(signature.substring(0, signature.length / 2), 16);
var s = new BigInteger(signature.substring(signature.length / 2), 16);
var e = new BigInteger(sm3(msg), 16);
var t = r.add(s).mod(n);
if (t.equals(BigInteger.ZERO)) {
return false;
}
var P = pubPoint.multiply(s).add(G.multiply(t));
var R = e.add(P.getX().toBigInteger()).mod(n);
return R.equals(r);
}
```
需要注意的是,以上代码仅作为示例,实际使用时还需对数据进行适当的填充和处理以保证安全性。
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