哈希签名：哈希函数（hash）在数字签名中的实现思路

以下代码实现上的思路来自：Constructing Digital Signatures from a One Way Function, 文档资料源自http://lamport.azurewebsites.net/pubs/dig-sig.pdf, 这个是我下来上传的地址：http://dl.iteye.com/topics/download/f80e7b49-8d9c-30bb-9db9-8b3df6171465

public class HashDigest {

    private static byte[] privateKeyEncodedPart1 = null;
    private static byte[] privateKeyEncodedPart2 = null;

    private static byte[] publicKeyEncodedPart1 = null;
    private static byte[] publicKeyEncodedPart2 = null;

    @BeforeClass
    public static void init() {
        privateKeyEncodedPart1 = new byte[256 * 8];
        privateKeyEncodedPart2 = new byte[256 * 8];

        for (int i = 0; i < 256; i++) {
            Random random = new Random();
            byte[] bytes = new byte[8];
            random.nextBytes(bytes);
            System.arraycopy(bytes, 0, privateKeyEncodedPart1, i * 8, bytes.length);
            random.nextBytes(bytes);
            System.arraycopy(bytes, 0, privateKeyEncodedPart2, i * 8, bytes.length);
        }
        publicKeyEncodedPart1 = new byte[256 * 8];
        publicKeyEncodedPart2 = new byte[256 * 8];
        for (int i = 0; i < 256; i++) {
            byte[] t = new byte[8];
            System.arraycopy(privateKeyEncodedPart1, i * 8, t, 0, t.length);
            t = hash(t);
            System.arraycopy(t, 0, publicKeyEncodedPart1, i * 8, t.length);

            System.arraycopy(privateKeyEncodedPart2, i * 8, t, 0, t.length);
            t = hash(t);
            System.arraycopy(t, 0, publicKeyEncodedPart2, i * 8, t.length);
        }

        byte[] privateKeyEncoded = getPrivateKeyEncoded();
        System.out.println("private key: " + Base64.byteArrayToBase64(privateKeyEncoded));
        byte[] publicKeyEncoded = getPublicKeyEncoded();
        System.out.println("public key: " + Base64.byteArrayToBase64(publicKeyEncoded));
    }

    private static byte[] getPrivateKeyEncoded() {
        byte[] encoded = new byte[privateKeyEncodedPart1.length + privateKeyEncodedPart2.length];
        System.arraycopy(privateKeyEncodedPart1, 0, encoded, 0, privateKeyEncodedPart1.length);
        System.arraycopy(privateKeyEncodedPart2, 0, encoded, privateKeyEncodedPart1.length, privateKeyEncodedPart2.length);
        return encoded;
    }

    private static byte[] getPublicKeyEncoded() {
        byte[] encoded = new byte[publicKeyEncodedPart1.length + publicKeyEncodedPart2.length];
        System.arraycopy(publicKeyEncodedPart1, 0, encoded, 0, publicKeyEncodedPart1.length);
        System.arraycopy(publicKeyEncodedPart2, 0, encoded, publicKeyEncodedPart1.length, publicKeyEncodedPart2.length);
        return encoded;
    }

    // 仅演示用
    private static byte[] hash(byte[] input) {
        byte[] bytes = new byte[input.length];
        for (int i = 0; i < input.length; i++) {
            bytes[i] = (byte) ~input[i];
        }
        return bytes;
    }

    public byte[] digest(byte[] input) {
        byte[] digest = new byte[input.length * 8];
        for (int i = 0; i < input.length; i++) {
            int j = input[i] % 256;
            if ((i & 0x01) == 0) {
                System.arraycopy(privateKeyEncodedPart1, j * 8, digest, i * 8, 8);
            } else {
                System.arraycopy(privateKeyEncodedPart2, j * 8, digest, i * 8, 8);
            }
        }
        return digest;
    }

    public boolean verify(byte[] input, byte[] digest) {
        for (int i = 0; i < input.length; i++) {
            byte[] t = new byte[8];
            System.arraycopy(digest, i * 8, t, 0, t.length);
            int j = input[i] % 256;

            byte[] b = new byte[8];
            if ((i & 0x01) == 0) {
                System.arraycopy(publicKeyEncodedPart1, j * 8, b, 0, b.length);
            } else {
                System.arraycopy(publicKeyEncodedPart2, j * 8, b, 0, b.length);
            }
            b = hash(b);
            for (int k = 0; k < t.length; k++) {
                if (t[k] != b[k]) {
                    return false;
                }
            }
        }
        return true;
    }

    @org.junit.Test
    public void test() {
        String message = "13120983870";
        System.out.println(message + ", base64: " + Base64.byteArrayToBase64(message.getBytes()));
        byte[] digest = digest(message.getBytes());
        System.out.println("signature: " + Base64.byteArrayToBase64(digest));
        boolean result = verify(message.getBytes(), digest);
        System.out.println(result);

        result = verify("13120983871".getBytes(), digest);
        System.out.println(result);

        result = verify("13120983879".getBytes(), digest);
        System.out.println(result);

        result = verify("abcdefg".getBytes(), digest);
        System.out.println(result);
    }
}

private key: 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public key: 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13120983870, base64: MTMxMjA5ODM4NzA=
signature: gt0SgjpLWmyPgLdmw3mbxYLdEoI6S1psAG4ZGBSpBPs+62mTq93Vt+cB+FshxiYJTqKV1cnTpGqPgLdmw3mbxU6ildXJ06RqngIFxsrihHU+62mTq93Vtw==
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1、Constructing Digital Signatures from a One Way Function, http://lamport.azurewebsites.net/pubs/pubs.html#dig-sig

2、Constructing Digital Signatures from a One Way Function, http://lamport.azurewebsites.net/pubs/dig-sig.pdf