我想要ECC.js的代码
时间: 2024-06-08 09:11:24 浏览: 11
以下是一个简单的 ECC.js 实现,用于生成椭圆曲线密钥对、加密和解密消息:
```js
const bigInt = require('big-integer');
// 定义一些常用的椭圆曲线参数
const p = bigInt("115792089237316195423570985008687907853269984665640564039457584007908834671663");
const a = bigInt("-3");
const b = bigInt("41058363725152142129326129780047268409114441015993725554835256314039467401291");
const Gx = bigInt("48439561293906451759052585252797914202762949526041747995844080717082404635286");
const Gy = bigInt("36134250956749795798585127919587881956611106672985015071877198253568414405109");
const n = bigInt("115792089237316195423570985008687907852837564279074904382605163141518161494337");
// 定义椭圆曲线点类
class Point {
constructor(x, y) {
this.x = bigInt(x);
this.y = bigInt(y);
}
equals(other) {
return this.x.equals(other.x) && this.y.equals(other.y);
}
negate() {
return new Point(this.x, this.y.negate().mod(p));
}
add(other) {
if (this.equals(other)) {
return this.double();
}
if (this.x.equals(other.x)) {
return new Point(bigInt(0), bigInt(0));
}
const slope = other.y.subtract(this.y).multiply(other.x.subtract(this.x).modInv(p)).mod(p);
const x = slope.pow(2).subtract(this.x).subtract(other.x).mod(p);
const y = slope.multiply(this.x.subtract(x)).subtract(this.y).mod(p);
return new Point(x, y);
}
subtract(other) {
return this.add(other.negate());
}
multiply(scalar) {
if (scalar.equals(0)) {
return new Point(bigInt(0), bigInt(0));
}
if (scalar.equals(1)) {
return this;
}
if (scalar.mod(2).equals(0)) {
return this.double().multiply(scalar.divide(2));
}
return this.add(this.double().multiply(scalar.divide(2)));
}
double() {
const slope = this.x.pow(2).multiply(3).add(a).multiply(this.y.multiply(2).modInv(p)).mod(p);
const x = slope.pow(2).subtract(this.x.multiply(2)).mod(p);
const y = slope.multiply(this.x.subtract(x)).subtract(this.y).mod(p);
return new Point(x, y);
}
}
// 生成一个新的椭圆曲线密钥对
function generateKeyPair() {
let privateKey;
do {
privateKey = bigInt.randBetween(1, n);
} while (privateKey.greaterOrEquals(n));
const publicKey = new Point(Gx, Gy).multiply(privateKey);
return { privateKey, publicKey };
}
// 加密消息
function encrypt(message, publicKey) {
let k;
let C;
do {
k = bigInt.randBetween(1, n);
C = new Point(Gx, Gy).multiply(k);
} while (C.x.equals(0));
const P = new Point(publicKey.x, publicKey.y).multiply(k);
const cipherText = message.split('').map(c => bigInt(c.charCodeAt(0)));
for (let i = 0; i < cipherText.length; i++) {
cipherText[i] = cipherText[i].multiply(P.x).mod(p);
}
return { C, cipherText };
}
// 解密消息
function decrypt(C, cipherText, privateKey) {
const P = new Point(C.x, C.y).multiply(privateKey);
const plainText = cipherText.map(c => String.fromCharCode(c.multiply(P.x.modInv(p)).mod(p).toJSNumber()));
return plainText.join('');
}
// 生成一对新的密钥
const keyPair = generateKeyPair();
console.log('Private Key:', keyPair.privateKey.toString());
console.log('Public Key:', keyPair.publicKey.x.toString(), keyPair.publicKey.y.toString());
// 加密消息
const message = "Hello, world!";
const { C, cipherText } = encrypt(message, keyPair.publicKey);
console.log('Ciphertext:', C.x.toString(), C.y.toString());
console.log('CipherText:', cipherText);
// 解密消息
const plainText = decrypt(C, cipherText, keyPair.privateKey);
console.log('Plaintext:', plainText);
```
此代码生成椭圆曲线密钥对、加密和解密消息,使用的椭圆曲线参数是 secp256k1,这也是比特币所使用的椭圆曲线之一。请注意,此代码仅用于教育目的,不应用于生产环境。在生产环境中,应使用开源的密码库,如 OpenSSL 或 libsodium。
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