JAVA加密算法4
关键字: rsa, 公钥, 私钥, 非对称加密
接下来我们介绍典型的非对称加密算法，RSA
RSA
这种算法1978年就出现了，它是第一个既能用于数据加密也能用于数字签名的算法。它易于理解和操作，也很流行。算法的名字以发明者的名字命名：Ron Rivest, AdiShamir 和Leonard Adleman。
这种加密算法的特点主要是密钥的变化，上文我们看到DES只有一个密钥。相当于只有一把钥匙，如果这把钥匙丢了，数据也就不安全了。RSA同时有两把钥匙，公钥与私钥。
公钥公开，私钥保密。我们用公钥加密数据，用私钥解密数据。能不能反过来呢，用私钥加密，用公钥解密呢？不可以！
通过java代码实现如下：Coder类见 java加密技术（一）
Java代码
import java.security.Key;
import java.security.KeyFactory;
import java.security.KeyPair;
import java.security.KeyPairGenerator;
import java.security.interfaces.RSAPrivateKey;
import java.security.interfaces.RSAPublicKey;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.X509EncodedKeySpec;
import java.util.HashMap;
import java.util.Map;
import javax.crypto.Cipher;
/**
* RSA安全编码组件
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public abstract class RSACoder extends Coder {
public static final String ALGORITHM = "RSA";
private static final String PUBLIC_KEY = "RSAPublicKey";
private static final String PRIVATE_KEY = "RSAPrivateKey";
/**
* 解密
* 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 = KeyFactory.getInstance(ALGORITHM);
Key privateKey = keyFactory.generatePrivate(pkcs8KeySpec);
// 对数据解密
Cipher cipher = Cipher.getInstance(ALGORITHM);
cipher.init(Cipher.DECRYPT_MODE, privateKey);
return cipher.doFinal(data);
}
/**
* 加密
* 用公钥加密
*
* @param data
* @param key
* @return
* @throws Exception
*/
public static byte[] encrypt(byte[] data, String key) throws Exception {
// 对公钥解密
byte[] keyBytes = decryptBASE64(key);
// 取得公钥
X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(ALGORITHM);
Key publicKey = keyFactory.generatePublic(x509KeySpec);
// 对数据加密
Cipher cipher = Cipher.getInstance(ALGORITHM);
cipher.init(Cipher.ENCRYPT_MODE, publicKey);
return cipher.doFinal(data);
}
/**
* 取得私钥
*
* @param keyMap
* @return
* @throws Exception
*/
public static String getPrivateKey(Map 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 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 initKey() throws Exception {
KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance(ALGORITHM);
keyPairGen.initialize(1024);
KeyPair keyPair = keyPairGen.generateKeyPair();
// 公钥
RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic();
// 私钥
RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate();
Map keyMap = new HashMap(2);
keyMap.put(PUBLIC_KEY, publicKey);
keyMap.put(PRIVATE_KEY, privateKey);
return keyMap;
}
}
import java.security.Key;
import java.security.KeyFactory;
import java.security.KeyPair;
import java.security.KeyPairGenerator;
import java.security.interfaces.RSAPrivateKey;
import java.security.interfaces.RSAPublicKey;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.X509EncodedKeySpec;
import java.util.HashMap;
import java.util.Map;
import javax.crypto.Cipher;
/**
* RSA安全编码组件
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public abstract class RSACoder extends Coder {
public static final String ALGORITHM = "RSA";
private static final String PUBLIC_KEY = "RSAPublicKey";
private static final String PRIVATE_KEY = "RSAPrivateKey";
/**
* 解密
* 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 = KeyFactory.getInstance(ALGORITHM);
Key privateKey = keyFactory.generatePrivate(pkcs8KeySpec);
// 对数据解密
Cipher cipher = Cipher.getInstance(ALGORITHM);
cipher.init(Cipher.DECRYPT_MODE, privateKey);
return cipher.doFinal(data);
}
/**
* 加密
* 用公钥加密
*
* @param data
* @param key
* @return
* @throws Exception
*/
public static byte[] encrypt(byte[] data, String key) throws Exception {
// 对公钥解密
byte[] keyBytes = decryptBASE64(key);
// 取得公钥
X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(ALGORITHM);
Key publicKey = keyFactory.generatePublic(x509KeySpec);
// 对数据加密
Cipher cipher = Cipher.getInstance(ALGORITHM);
cipher.init(Cipher.ENCRYPT_MODE, publicKey);
return cipher.doFinal(data);
}
/**
* 取得私钥
*
* @param keyMap
* @return
* @throws Exception
*/
public static String getPrivateKey(Map 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 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 initKey() throws Exception {
KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance(ALGORITHM);
keyPairGen.initialize(1024);
KeyPair keyPair = keyPairGen.generateKeyPair();
// 公钥
RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic();
// 私钥
RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate();
Map keyMap = new HashMap(2);
keyMap.put(PUBLIC_KEY, publicKey);
keyMap.put(PRIVATE_KEY, privateKey);
return keyMap;
}
}
再给出一个测试类：
Java代码
import static org.junit.Assert.*;
import org.junit.Test;
import java.util.Map;
/**
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public class RSACoderTest {
@Test
public void test() throws Exception {
String inputStr = "abc";
byte[] data = inputStr.getBytes();
Map keyMap = RSACoder.initKey();
String publicKey = RSACoder.getPublicKey(keyMap);
String privateKey = RSACoder.getPrivateKey(keyMap);
System.err.println("公钥: \n\r" + publicKey);
System.err.println("私钥： \n\r" + privateKey);
byte[] encodedData = RSACoder.encrypt(data, publicKey);
byte[] decodedData = RSACoder.decrypt(encodedData, privateKey);
String outputStr = new String(decodedData);
System.err.println("加密前: " + inputStr + "\n\r" + "解密后: " + outputStr);
assertEquals(inputStr, outputStr);
}
}
import static org.junit.Assert.*;
import org.junit.Test;
import java.util.Map;
/**
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public class RSACoderTest {
@Test
public void test() throws Exception {
String inputStr = "abc";
byte[] data = inputStr.getBytes();
Map keyMap = RSACoder.initKey();
String publicKey = RSACoder.getPublicKey(keyMap);
String privateKey = RSACoder.getPrivateKey(keyMap);
System.err.println("公钥: \n\r" + publicKey);
System.err.println("私钥： \n\r" + privateKey);
byte[] encodedData = RSACoder.encrypt(data, publicKey);
byte[] decodedData = RSACoder.decrypt(encodedData, privateKey);
String outputStr = new String(decodedData);
System.err.println("加密前: " + inputStr + "\n\r" + "解密后: " + outputStr);
assertEquals(inputStr, outputStr);
}
}
控制台输出：
Console代码
公钥:
MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQCAiF0wxZP16aO4ZjUAj1bxFzhx157bB/hBpKyi
lh68cg5cTm5QQvWcc1duLdXyR4EH0O557qONMKopsTNIGGrpDRWVU1RIlpCOk+53MmEVm/R/Gmj7
l0ccckrDl4Dx1hWEtxqgXh6H/DDk6Ldns4RYVj0evqj7l1KESNvNWjQlBwIDAQAB
私钥：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加密前: abc
解密后: abc
公钥:
MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQCAiF0wxZP16aO4ZjUAj1bxFzhx157bB/hBpKyi
lh68cg5cTm5QQvWcc1duLdXyR4EH0O557qONMKopsTNIGGrpDRWVU1RIlpCOk+53MmEVm/R/Gmj7
l0ccckrDl4Dx1hWEtxqgXh6H/DDk6Ldns4RYVj0evqj7l1KESNvNWjQlBwIDAQAB
私钥：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加密前: abc
解密后: abc
如果公钥只能加密，私钥只能解密，但是双方都需要互通加密数据该怎么办？使用DH加密算法！
接下来我们介绍典型的非对称加密算法，RSA
RSA
这种算法1978年就出现了，它是第一个既能用于数据加密也能用于数字签名的算法。它易于理解和操作，也很流行。算法的名字以发明者的名字命名：Ron Rivest, AdiShamir 和Leonard Adleman。
这种加密算法的特点主要是密钥的变化，上文我们看到DES只有一个密钥。相当于只有一把钥匙，如果这把钥匙丢了，数据也就不安全了。RSA同时有两把钥匙，公钥与私钥。
公钥公开，私钥保密。我们用公钥加密数据，用私钥解密数据。能不能反过来呢，用私钥加密，用公钥解密呢？不可以！
通过java代码实现如下：Coder类见 java加密技术（一）
Java代码
import java.security.Key;
import java.security.KeyFactory;
import java.security.KeyPair;
import java.security.KeyPairGenerator;
import java.security.interfaces.RSAPrivateKey;
import java.security.interfaces.RSAPublicKey;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.X509EncodedKeySpec;
import java.util.HashMap;
import java.util.Map;
import javax.crypto.Cipher;
/**
* RSA安全编码组件
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public abstract class RSACoder extends Coder {
public static final String ALGORITHM = "RSA";
private static final String PUBLIC_KEY = "RSAPublicKey";
private static final String PRIVATE_KEY = "RSAPrivateKey";
/**
* 解密
* 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 = KeyFactory.getInstance(ALGORITHM);
Key privateKey = keyFactory.generatePrivate(pkcs8KeySpec);
// 对数据解密
Cipher cipher = Cipher.getInstance(ALGORITHM);
cipher.init(Cipher.DECRYPT_MODE, privateKey);
return cipher.doFinal(data);
}
/**
* 加密
* 用公钥加密
*
* @param data
* @param key
* @return
* @throws Exception
*/
public static byte[] encrypt(byte[] data, String key) throws Exception {
// 对公钥解密
byte[] keyBytes = decryptBASE64(key);
// 取得公钥
X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(ALGORITHM);
Key publicKey = keyFactory.generatePublic(x509KeySpec);
// 对数据加密
Cipher cipher = Cipher.getInstance(ALGORITHM);
cipher.init(Cipher.ENCRYPT_MODE, publicKey);
return cipher.doFinal(data);
}
/**
* 取得私钥
*
* @param keyMap
* @return
* @throws Exception
*/
public static String getPrivateKey(Map
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
throws Exception {
Key key = (Key) keyMap.get(PUBLIC_KEY);
return encryptBASE64(key.getEncoded());
}
/**
* 初始化密钥
*
* @return
* @throws Exception
*/
public static Map
KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance(ALGORITHM);
keyPairGen.initialize(1024);
KeyPair keyPair = keyPairGen.generateKeyPair();
// 公钥
RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic();
// 私钥
RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate();
Map
keyMap.put(PUBLIC_KEY, publicKey);
keyMap.put(PRIVATE_KEY, privateKey);
return keyMap;
}
}
import java.security.Key;
import java.security.KeyFactory;
import java.security.KeyPair;
import java.security.KeyPairGenerator;
import java.security.interfaces.RSAPrivateKey;
import java.security.interfaces.RSAPublicKey;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.X509EncodedKeySpec;
import java.util.HashMap;
import java.util.Map;
import javax.crypto.Cipher;
/**
* RSA安全编码组件
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public abstract class RSACoder extends Coder {
public static final String ALGORITHM = "RSA";
private static final String PUBLIC_KEY = "RSAPublicKey";
private static final String PRIVATE_KEY = "RSAPrivateKey";
/**
* 解密
* 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 = KeyFactory.getInstance(ALGORITHM);
Key privateKey = keyFactory.generatePrivate(pkcs8KeySpec);
// 对数据解密
Cipher cipher = Cipher.getInstance(ALGORITHM);
cipher.init(Cipher.DECRYPT_MODE, privateKey);
return cipher.doFinal(data);
}
/**
* 加密
* 用公钥加密
*
* @param data
* @param key
* @return
* @throws Exception
*/
public static byte[] encrypt(byte[] data, String key) throws Exception {
// 对公钥解密
byte[] keyBytes = decryptBASE64(key);
// 取得公钥
X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(ALGORITHM);
Key publicKey = keyFactory.generatePublic(x509KeySpec);
// 对数据加密
Cipher cipher = Cipher.getInstance(ALGORITHM);
cipher.init(Cipher.ENCRYPT_MODE, publicKey);
return cipher.doFinal(data);
}
/**
* 取得私钥
*
* @param keyMap
* @return
* @throws Exception
*/
public static String getPrivateKey(Map
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
throws Exception {
Key key = (Key) keyMap.get(PUBLIC_KEY);
return encryptBASE64(key.getEncoded());
}
/**
* 初始化密钥
*
* @return
* @throws Exception
*/
public static Map
KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance(ALGORITHM);
keyPairGen.initialize(1024);
KeyPair keyPair = keyPairGen.generateKeyPair();
// 公钥
RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic();
// 私钥
RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate();
Map
keyMap.put(PUBLIC_KEY, publicKey);
keyMap.put(PRIVATE_KEY, privateKey);
return keyMap;
}
}
再给出一个测试类：
Java代码
import static org.junit.Assert.*;
import org.junit.Test;
import java.util.Map;
/**
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public class RSACoderTest {
@Test
public void test() throws Exception {
String inputStr = "abc";
byte[] data = inputStr.getBytes();
Map
String publicKey = RSACoder.getPublicKey(keyMap);
String privateKey = RSACoder.getPrivateKey(keyMap);
System.err.println("公钥: \n\r" + publicKey);
System.err.println("私钥： \n\r" + privateKey);
byte[] encodedData = RSACoder.encrypt(data, publicKey);
byte[] decodedData = RSACoder.decrypt(encodedData, privateKey);
String outputStr = new String(decodedData);
System.err.println("加密前: " + inputStr + "\n\r" + "解密后: " + outputStr);
assertEquals(inputStr, outputStr);
}
}
import static org.junit.Assert.*;
import org.junit.Test;
import java.util.Map;
/**
*
* @author 梁栋
* @version 1.0
* @since 1.0
*/
public class RSACoderTest {
@Test
public void test() throws Exception {
String inputStr = "abc";
byte[] data = inputStr.getBytes();
Map
String publicKey = RSACoder.getPublicKey(keyMap);
String privateKey = RSACoder.getPrivateKey(keyMap);
System.err.println("公钥: \n\r" + publicKey);
System.err.println("私钥： \n\r" + privateKey);
byte[] encodedData = RSACoder.encrypt(data, publicKey);
byte[] decodedData = RSACoder.decrypt(encodedData, privateKey);
String outputStr = new String(decodedData);
System.err.println("加密前: " + inputStr + "\n\r" + "解密后: " + outputStr);
assertEquals(inputStr, outputStr);
}
}
控制台输出：
Console代码
公钥:
MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQCAiF0wxZP16aO4ZjUAj1bxFzhx157bB/hBpKyi
lh68cg5cTm5QQvWcc1duLdXyR4EH0O557qONMKopsTNIGGrpDRWVU1RIlpCOk+53MmEVm/R/Gmj7
l0ccckrDl4Dx1hWEtxqgXh6H/DDk6Ldns4RYVj0evqj7l1KESNvNWjQlBwIDAQAB
私钥：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加密前: abc
解密后: abc
公钥:
MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQCAiF0wxZP16aO4ZjUAj1bxFzhx157bB/hBpKyi
lh68cg5cTm5QQvWcc1duLdXyR4EH0O557qONMKopsTNIGGrpDRWVU1RIlpCOk+53MmEVm/R/Gmj7
l0ccckrDl4Dx1hWEtxqgXh6H/DDk6Ldns4RYVj0evqj7l1KESNvNWjQlBwIDAQAB
私钥：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加密前: abc
解密后: abc
如果公钥只能加密，私钥只能解密，但是双方都需要互通加密数据该怎么办？使用DH加密算法！