———————RSA非对称可逆加密———————
RSA加密原理概述：
RSA的安全性依赖于大数的分解，公钥和私钥都是两个大素数（大于100的十进制位）的函数。从一个密钥和密文推断出明文的难度等同于分解两个大素数的积
- 1.选择两个大素数 p,q ,计算 n=p*q;
- 2.随机选择加密密钥 e ,要求 e 和 (p-1)*(q-1)互质
- 3.利用 Euclid算法计算解密密钥 d , 使其满足 ed = 1(mod(p-1)(q-1)) (其中 n,d 也要互质)
- 4:至此得出公钥为 (n,e) 私钥为 * (n,d) 加解密方法：
- 1.首先将要加密的信息 m(二进制表示) 分成等长的
数据块 m1,m2,…,mi 块长 s(尽可能大) ,其中2^s< n - 2:对应的密文是： ci = mi^e(mod n)
- 3:解密时作如下计算： mi = ci^d(mod n)
- 1.首先将要加密的信息 m(二进制表示) 分成等长的
RSA速度:
由于进行的都是大数计算，使得RSA最快的情况也比DES慢上100倍，无论 是软件还是硬件实现。 速度一直是RSA的缺陷。一般来说只用于少量数据 加密。
RSAUtils工具类:
package com.example.rsa;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.security.KeyFactory;
import java.security.KeyPair;
import java.security.KeyPairGenerator;
import java.security.NoSuchAlgorithmException;
import java.security.PrivateKey;
import java.security.PublicKey;
import java.security.interfaces.RSAPrivateKey;
import java.security.interfaces.RSAPublicKey;
import java.security.spec.InvalidKeySpecException;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.RSAPublicKeySpec;
import java.security.spec.X509EncodedKeySpec;
import javax.crypto.Cipher;
public final class RSAUtils
{
private static String RSA = "RSA";
private static final String TransForMation = "RSA/None/PKCS1Padding";
/**
* 随机生成RSA密钥对(默认密钥长度为1024)
*
* @return
*/
public static KeyPair generateRSAKeyPair()
{
return generateRSAKeyPair(1024);
}
/**
* 随机生成RSA密钥对
*
* @param keyLength
* 密钥长度，范围：512～2048<br>
* 一般1024
* @return
*/
public static KeyPair generateRSAKeyPair(int keyLength)
{
try
{
KeyPairGenerator kpg = KeyPairGenerator.getInstance(RSA);
kpg.initialize(keyLength);
return kpg.genKeyPair();
} catch (NoSuchAlgorithmException e)
{
e.printStackTrace();
return null;
}
}
/**
* 用公钥加密 <br>
* 每次加密的字节数，不能超过密钥的长度值减去11
*
* @param data
* 需加密数据的byte数据
* @param pubKey
* 公钥
* @return 加密后的byte型数据
*/
public static byte[] encryptData(byte[] data, PublicKey publicKey)
{
try
{
Cipher cipher = Cipher.getInstance(TransForMation);
// 编码前设定编码方式及密钥
cipher.init(Cipher.ENCRYPT_MODE, publicKey);
// 传入编码数据并返回编码结果
return cipher.doFinal(data);
} catch (Exception e)
{
e.printStackTrace();
return null;
}
}
/**
* 用私钥解密
*
* @param encryptedData
* 经过encryptedData()加密返回的byte数据
* @param privateKey
* 私钥
* @return
*/
public static byte[] decryptData(byte[] encryptedData, PrivateKey privateKey)
{
try
{
Cipher cipher = Cipher.getInstance(TransForMation);
cipher.init(Cipher.DECRYPT_MODE, privateKey);
return cipher.doFinal(encryptedData);
} catch (Exception e)
{
return null;
}
}
/**
* 通过公钥byte[](publicKey.getEncoded())将公钥还原，适用于RSA算法
*
* @param keyBytes
* @return
* @throws NoSuchAlgorithmException
* @throws InvalidKeySpecException
*/
public static PublicKey getPublicKey(byte[] keyBytes) throws NoSuchAlgorithmException,
InvalidKeySpecException
{
X509EncodedKeySpec keySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(RSA);
PublicKey publicKey = keyFactory.generatePublic(keySpec);
return publicKey;
}
/**
* 通过私钥byte[]将公钥还原，适用于RSA算法
*
* @param keyBytes
* @return
* @throws NoSuchAlgorithmException
* @throws InvalidKeySpecException
*/
public static PrivateKey getPrivateKey(byte[] keyBytes) throws NoSuchAlgorithmException,
InvalidKeySpecException
{
PKCS8EncodedKeySpec keySpec = new PKCS8EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(RSA);
PrivateKey privateKey = keyFactory.generatePrivate(keySpec);
return privateKey;
}
/**
* 使用N、e值还原公钥
*
* @param modulus
* @param publicExponent
* @return
* @throws NoSuchAlgorithmException
* @throws InvalidKeySpecException
*/
public static PublicKey getPublicKey(String modulus, String publicExponent)
throws NoSuchAlgorithmException, InvalidKeySpecException
{
BigInteger bigIntModulus = new BigInteger(modulus);
BigInteger bigIntPrivateExponent = new BigInteger(publicExponent);
RSAPublicKeySpec keySpec = new RSAPublicKeySpec(bigIntModulus, bigIntPrivateExponent);
KeyFactory keyFactory = KeyFactory.getInstance(RSA);
PublicKey publicKey = keyFactory.generatePublic(keySpec);
return publicKey;
}
/**
* 使用N、d值还原私钥
*
* @param modulus
* @param privateExponent
* @return
* @throws NoSuchAlgorithmException
* @throws InvalidKeySpecException
*/
public static PrivateKey getPrivateKey(String modulus, String privateExponent)
throws NoSuchAlgorithmException, InvalidKeySpecException
{
BigInteger bigIntModulus = new BigInteger(modulus);
BigInteger bigIntPrivateExponent = new BigInteger(privateExponent);
RSAPublicKeySpec keySpec = new RSAPublicKeySpec(bigIntModulus, bigIntPrivateExponent);
KeyFactory keyFactory = KeyFactory.getInstance(RSA);
PrivateKey privateKey = keyFactory.generatePrivate(keySpec);
return privateKey;
}
/**
* 从字符串中加载公钥
*
* @param publicKeyStr
* 公钥数据字符串
* @throws Exception
* 加载公钥时产生的异常
*/
public static PublicKey loadPublicKey(String publicKeyStr) throws Exception
{
try
{
byte[] buffer = Base64Utils.decode(publicKeyStr);
KeyFactory keyFactory = KeyFactory.getInstance(RSA);
X509EncodedKeySpec keySpec = new X509EncodedKeySpec(buffer);
return (RSAPublicKey) keyFactory.generatePublic(keySpec);
} catch (NoSuchAlgorithmException e)
{
throw new Exception("无此算法");
} catch (InvalidKeySpecException e)
{
throw new Exception("公钥非法");
} catch (NullPointerException e)
{
throw new Exception("公钥数据为空");
}
}
/**
* 从字符串中加载私钥<br>
* 加载时使用的是PKCS8EncodedKeySpec（PKCS#8编码的Key指令）。
*
* @param privateKeyStr
* @return
* @throws Exception
*/
public static PrivateKey loadPrivateKey(String privateKeyStr) throws Exception
{
try
{
byte[] buffer = Base64Utils.decode(privateKeyStr);
// X509EncodedKeySpec keySpec = new X509EncodedKeySpec(buffer);
PKCS8EncodedKeySpec keySpec = new PKCS8EncodedKeySpec(buffer);
KeyFactory keyFactory = KeyFactory.getInstance(RSA);
return (RSAPrivateKey) keyFactory.generatePrivate(keySpec);
} catch (NoSuchAlgorithmException e)
{
throw new Exception("无此算法");
} catch (InvalidKeySpecException e)
{
throw new Exception("私钥非法");
} catch (NullPointerException e)
{
throw new Exception("私钥数据为空");
}
}
/**
* 从文件中输入流中加载公钥
*
* @param in
* 公钥输入流
* @throws Exception
* 加载公钥时产生的异常
*/
public static PublicKey loadPublicKey(InputStream in) throws Exception
{
try
{
return loadPublicKey(readKey(in));
} catch (IOException e)
{
throw new Exception("公钥数据流读取错误");
} catch (NullPointerException e)
{
throw new Exception("公钥输入流为空");
}
}
/**
* 从文件中加载私钥
*
* @param keyFileName
* 私钥文件名
* @return 是否成功
* @throws Exception
*/
public static PrivateKey loadPrivateKey(InputStream in) throws Exception
{
try
{
return loadPrivateKey(readKey(in));
} catch (IOException e)
{
throw new Exception("私钥数据读取错误");
} catch (NullPointerException e)
{
throw new Exception("私钥输入流为空");
}
}
/**
* 读取密钥信息
*
* @param in
* @return
* @throws IOException
*/
private static String readKey(InputStream in) throws IOException
{
BufferedReader br = new BufferedReader(new InputStreamReader(in));
String readLine = null;
StringBuilder sb = new StringBuilder();
while ((readLine = br.readLine()) != null)
{
if (readLine.charAt(0) == '-')
{
continue;
} else
{
sb.append(readLine);
sb.append('\r');
}
}
return sb.toString();
}
/**
* 打印公钥信息
*
* @param publicKey
*/
public static void printPublicKeyInfo(PublicKey publicKey)
{
RSAPublicKey rsaPublicKey = (RSAPublicKey) publicKey;
System.out.println("----------RSAPublicKey----------");
System.out.println("Modulus.length=" + rsaPublicKey.getModulus().bitLength());
System.out.println("Modulus=" + rsaPublicKey.getModulus().toString());
System.out.println("PublicExponent.length=" + rsaPublicKey.getPublicExponent().bitLength());
System.out.println("PublicExponent=" + rsaPublicKey.getPublicExponent().toString());
}
public static void printPrivateKeyInfo(PrivateKey privateKey)
{
RSAPrivateKey rsaPrivateKey = (RSAPrivateKey) privateKey;
System.out.println("----------RSAPrivateKey ----------");
System.out.println("Modulus.length=" + rsaPrivateKey.getModulus().bitLength());
System.out.println("Modulus=" + rsaPrivateKey.getModulus().toString());
System.out.println("PrivateExponent.length=" + rsaPrivateKey.getPrivateExponent().bitLength());
System.out.println("PrivatecExponent=" + rsaPrivateKey.getPrivateExponent().toString());
}
}
特别说明：
1.以上的加解密只是针对单个Block块的，如果需要支持N个块，则需要自己单独对数据进行切分。
比如1024位加解密，单个block的size是128个字节。
2.注意密钥填充方式，这里用的是PKCS1。
更多详情可以参考：
Android传输数据时加密详解
Android使用RSA加密和解密
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