ECC-Elliptic Curves Cryptography，椭圆曲线密码编码学

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ECC
ECC-Elliptic Curves Cryptography，椭圆曲线密码编码学，是目前已知的公钥体制中，对每比特所提供加密强度最高的一种体制。在软件注册保护方面起到很大的作用，一般的序列号通常由该算法产生。

当我开始整理《Java加密技术（二）》的时候，我就已经在开始研究ECC了，但是关于Java实现ECC算法的资料实在是太少了，无论是国内还是国外的资料，无论是官方还是非官方的解释，最终只有一种答案——ECC算法在jdk1.5后加入支持，目前仅仅只能完成密钥的生成与解析。如果想要获得ECC算法实现，需要调用硬件完成加密/解密（ECC算法相当耗费资源，如果单纯使用CPU进行加密/解密，效率低下），涉及到Java Card领域，PKCS#11。其实，PKCS#11配置很简单，但缺乏硬件设备，无法尝试！

尽管如此，我照旧提供相应的Java实现代码，以供大家参考。

通过java代码实现如下：Coder类见 Java加密技术（一）

import java.math.BigInteger;
import java.security.Key;
import java.security.KeyFactory;
import java.security.interfaces.ECPrivateKey;
import java.security.interfaces.ECPublicKey;
import java.security.spec.ECFieldF2m;
import java.security.spec.ECParameterSpec;
import java.security.spec.ECPoint;
import java.security.spec.ECPrivateKeySpec;
import java.security.spec.ECPublicKeySpec;
import java.security.spec.EllipticCurve;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.X509EncodedKeySpec;
import java.util.HashMap;
import java.util.Map;
import javax.crypto.Cipher;
import javax.crypto.NullCipher;
import sun.security.ec.ECKeyFactory;
import sun.security.ec.ECPrivateKeyImpl;
import sun.security.ec.ECPublicKeyImpl;
/**
* ECC安全编码组件
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public abstract class ECCCoder extends Coder {
public static final String ALGORITHM = "EC";
private static final String PUBLIC_KEY = "ECCPublicKey";
private static final String PRIVATE_KEY = "ECCPrivateKey";
/**
* 解密<br>
* 用私钥解密
*
* @param data
* @param key
* @return
* @throws Exception
*/
public static byte[] decrypt(byte[] data, String key) throws Exception {
// 对密钥解密
byte[] keyBytes = decryptBASE64(key);
// 取得私钥
PKCS8EncodedKeySpec pkcs8KeySpec = new PKCS8EncodedKeySpec(keyBytes);
KeyFactory keyFactory = ECKeyFactory.INSTANCE;
ECPrivateKey priKey = (ECPrivateKey) keyFactory
.generatePrivate(pkcs8KeySpec);
ECPrivateKeySpec ecPrivateKeySpec = new ECPrivateKeySpec(priKey.getS(),
priKey.getParams());
// 对数据解密
// TODO Chipher不支持EC算法未能实现
Cipher cipher = new NullCipher();
// Cipher.getInstance(ALGORITHM, keyFactory.getProvider());
cipher.init(Cipher.DECRYPT_MODE, priKey, ecPrivateKeySpec.getParams());
return cipher.doFinal(data);
}
/**
* 加密<br>
* 用公钥加密
*
* @param data
* @param privateKey
* @return
* @throws Exception
*/
public static byte[] encrypt(byte[] data, String privateKey)
throws Exception {
// 对公钥解密
byte[] keyBytes = decryptBASE64(privateKey);
// 取得公钥
X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = ECKeyFactory.INSTANCE;
ECPublicKey pubKey = (ECPublicKey) keyFactory
.generatePublic(x509KeySpec);
ECPublicKeySpec ecPublicKeySpec = new ECPublicKeySpec(pubKey.getW(),
pubKey.getParams());
// 对数据加密
// TODO Chipher不支持EC算法未能实现
Cipher cipher = new NullCipher();
// Cipher.getInstance(ALGORITHM, keyFactory.getProvider());
cipher.init(Cipher.ENCRYPT_MODE, pubKey, ecPublicKeySpec.getParams());
return cipher.doFinal(data);
}
/**
* 取得私钥
*
* @param keyMap
* @return
* @throws Exception
*/
public static String getPrivateKey(Map<String, Object> keyMap)
throws Exception {
Key key = (Key) keyMap.get(PRIVATE_KEY);
return encryptBASE64(key.getEncoded());
}
/**
* 取得公钥
*
* @param keyMap
* @return
* @throws Exception
*/
public static String getPublicKey(Map<String, Object> keyMap)
throws Exception {
Key key = (Key) keyMap.get(PUBLIC_KEY);
return encryptBASE64(key.getEncoded());
}
/**
* 初始化密钥
*
* @return
* @throws Exception
*/
public static Map<String, Object> initKey() throws Exception {
BigInteger x1 = new BigInteger(
"2fe13c0537bbc11acaa07d793de4e6d5e5c94eee8", 16);
BigInteger x2 = new BigInteger(
"289070fb05d38ff58321f2e800536d538ccdaa3d9", 16);
ECPoint g = new ECPoint(x1, x2);
// the order of generator
BigInteger n = new BigInteger(
"5846006549323611672814741753598448348329118574063", 10);
// the cofactor
int h = 2;
int m = 163;
int[] ks = { 7, 6, 3 };
ECFieldF2m ecField = new ECFieldF2m(m, ks);
// y^2+xy=x^3+x^2+1
BigInteger a = new BigInteger("1", 2);
BigInteger b = new BigInteger("1", 2);
EllipticCurve ellipticCurve = new EllipticCurve(ecField, a, b);
ECParameterSpec ecParameterSpec = new ECParameterSpec(ellipticCurve, g,
n, h);
// 公钥
ECPublicKey publicKey = new ECPublicKeyImpl(g, ecParameterSpec);
BigInteger s = new BigInteger(
"1234006549323611672814741753598448348329118574063", 10);
// 私钥
ECPrivateKey privateKey = new ECPrivateKeyImpl(s, ecParameterSpec);
Map<String, Object> keyMap = new HashMap<String, Object>(2);
keyMap.put(PUBLIC_KEY, publicKey);
keyMap.put(PRIVATE_KEY, privateKey);
return keyMap;
}
}

请注意上述代码中的TODO内容，再次提醒注意，Chipher不支持EC算法，以上代码仅供参考。Chipher、Signature、KeyPairGenerator、KeyAgreement、SecretKey均不支持EC算法。为了确保程序能够正常执行，我们使用了NullCipher类，验证程序。

照旧提供一个测试类：