前言

  • 简介
    RSA公开密钥密码体制是一种使用不同的加密密钥与解密密钥,“由已知加密密钥推导出解密密钥在计算上是不可行的”密码体制。
  • 原理
    根据数论,寻求两个大素数比较简单,而将它们的乘积进行因式分解却极其困难,因此可以将乘积公开作为加密密钥,即公钥,而两个大素数组合成私钥。公钥是可发布的供任何人使用,私钥则为自己所有,供解密之用。
  • 运算速度
    由于进行的都是大数计算,使得RSA最快的情况也比DES慢上好几倍,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。RSA的速度比对应同样安全级别的对称密码算法要慢1000倍左右。
  • 其它链接
    RSA加密 - Vue
    RSA分段加密 - Java
    RSA分段解密 - Vue


具体实现

  • 实现类

    import javax.crypto.Cipher;
    import java.security.*;
    import java.security.interfaces.RSAPrivateKey;
    import java.security.interfaces.RSAPublicKey;
    import java.security.spec.PKCS8EncodedKeySpec;
    import java.security.spec.X509EncodedKeySpec;
    import java.util.Base64;
    
    /**
     * @Description RSA加密算法
     * @author coisini
     * @date Jul 5, 2021
     * @Version 1.0
     */
    public class RSAUtil {
    
      private static final String ALGO = "RSA";
      private static final String CHARSET = "UTF-8";
    
      /**
       * 公钥 由generateKeyPair()生成
       */
      private static final String PUBLIC_KEY = "MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQCaaI4MBywkCjIppZnraqN3pbrcZTq/t0+aMBo8K3pK9BDD6XkM6N2Yfcva7BSFbUWuAcI7piXak0UKn9CElDuhNzUSgQn4IXKxIt3Iva5cV83qYumj+0yRjjLT8Muu1Y1rgBZjY9oBwhVoV+Twg25+UJ+6Q6HM4xTwQQJDoyy4jwIDAQAB";
    
      /**
       * 私钥 由generateKeyPair()生成
       */
      private static final String PRIVATE_KEY = "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";
    
      /**
       * 生成密钥对
       * @throws NoSuchAlgorithmException
       */
      private static void generateKeyPair() throws NoSuchAlgorithmException {
          // KeyPairGenerator 类用于生成公钥和私钥对,基于RSA算法生成对象
          KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance(ALGO);
          // 初始化密钥对生成器,密钥大小为 96-1024 位
          keyPairGen.initialize(1024, new SecureRandom());
          // 生成一个密钥对,保存在 keyPair 中
          KeyPair keyPair = keyPairGen.generateKeyPair();
          // 得到私钥
          RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate();
          // 得到公钥
          RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic();
          String publicKeyString = new String(Base64.getEncoder().encode(publicKey.getEncoded()));
          // 得到私钥字符串
          String privateKeyString = new String(Base64.getEncoder().encode((privateKey.getEncoded())));
          System.out.println(publicKeyString);
          System.out.println(privateKeyString);
      }
    
      /**
       * RSA公钥加密
       * @param data 加密字符串
       * @return 密文
       * @throws Exception 加密过程中的异常信息
       */
      private static String encryptByPublicKey(String data) throws Exception {
          // base64 编码的公钥
          byte[] decoded = Base64.getDecoder().decode(PUBLIC_KEY);
          RSAPublicKey pubKey = (RSAPublicKey) KeyFactory.getInstance(ALGO).generatePublic(new X509EncodedKeySpec(decoded));
          // RSA加密
          Cipher cipher = Cipher.getInstance(ALGO);
          // 公钥加密
          cipher.init(Cipher.ENCRYPT_MODE, pubKey);
          return Base64.getEncoder().encodeToString(cipher.doFinal(data.getBytes(CHARSET)));
      }
    
      /**
       * RSA私钥解密
       * @param data 加密字符串
       * @return 明文
       * @throws Exception 解密过程中的异常信息
       */
      private static String decryptByPrivateKey(String data) throws Exception {
          byte[] inputByte = Base64.getDecoder().decode(data.getBytes(CHARSET));
          // base64 编码的私钥
          byte[] decoded = Base64.getDecoder().decode(PRIVATE_KEY);
          RSAPrivateKey priKey = (RSAPrivateKey) KeyFactory.getInstance(ALGO).generatePrivate(new PKCS8EncodedKeySpec(decoded));
          // RSA 解密
          Cipher cipher = Cipher.getInstance(ALGO);
          // 私钥解密
          cipher.init(Cipher.DECRYPT_MODE, priKey);
          return new String(cipher.doFinal(inputByte));
      }
    
      /**
       * 私钥加密
       * 前端公钥解密
       * @param data 加密字符串
       * @return 密文
       * @throws Exception 加密过程中的异常信息
       */
      public static String encryptByPrivateKey(String data) throws Exception {
          // 获取私钥
          PrivateKey privateKey = getPrivateKey(PRIVATE_KEY);
          Cipher cipher = Cipher.getInstance("RSA");
          cipher.init(Cipher.ENCRYPT_MODE, privateKey);
          byte[] cipherText = cipher.doFinal(data.getBytes());
          String cipherStr = Base64.getEncoder().encodeToString(cipherText);
          return cipherStr;
      }
    
      /**
       * 公钥解密
       * @param data 解密字符串
       * @return 明文
       * @throws Exception 解密过程中的异常信息
       */
      public static String decryptByPublicKey(String data) throws Exception {
          // 获取公钥
          PublicKey publicKey = getPublicKey(PUBLIC_KEY);
          Cipher cipher = Cipher.getInstance("RSA");
          cipher.init(Cipher.DECRYPT_MODE, publicKey);
          byte[] cipherText = Base64.getDecoder().decode(data);
          byte[] decryptText = cipher.doFinal(cipherText);
          return new String(decryptText);
      }
    
      /**
       * 将base64编码后的私钥字符串转成PrivateKey实例
       * @param privateKey 私钥
       * @return PrivateKey实例
       * @throws Exception 异常信息
       */
      private static PrivateKey getPrivateKey(String privateKey) throws Exception {
          byte[] keyBytes = Base64.getDecoder().decode(privateKey);
          PKCS8EncodedKeySpec keySpec = new PKCS8EncodedKeySpec(keyBytes);
          KeyFactory keyFactory = KeyFactory.getInstance(ALGO);
          return keyFactory.generatePrivate(keySpec);
      }
    
      /**
       * 将base64编码后的公钥字符串转成PublicKey实例
       * @param publicKey 公钥
       * @return PublicKey实例
       * @throws Exception 异常信息
       */
      private static PublicKey getPublicKey(String publicKey) throws Exception {
          byte[] keyBytes = Base64.getDecoder().decode(publicKey);
          X509EncodedKeySpec keySpec = new X509EncodedKeySpec(keyBytes);
          KeyFactory keyFactory = KeyFactory.getInstance(ALGO);
          return keyFactory.generatePublic(keySpec);
      }
    
    
      public static void main(String[] args) {
          String data = "RSA encrypt!";
          try {
              // generateKeyPair();
    
              String encryDataByPublicKey = encryptByPublicKey(data);
              System.out.println("encryDataByPublicKey: " + encryDataByPublicKey);
              String decryDataByPrivateKey = decryptByPrivateKey(encryDataByPublicKey);
              System.out.println("decryDataByPrivateKey: " + decryDataByPrivateKey);
    
              String encryDataByPrivateKey = encryptByPrivateKey(data);
              System.out.println("encryDataByPrivateKey: " + encryDataByPrivateKey);
              String decryDataByPublicKey = decryptByPublicKey(encryDataByPrivateKey);
              System.out.println("decryDataByPublicKey: " + decryDataByPublicKey);
          } catch (Exception e) {
              e.printStackTrace();
          }
      }
    
    }
  • 结果如下所示:
    在这里插入图片描述

源码

$$- End -$$


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