RSA加解密及签名的用法

加密分为对称加密非对称加密不可逆加密

对称加密
描述: 加密解密使用同样的密钥。
特点: 速度快,安全性一般。
举例:DES、3DES、AES
使用场景:对大量数据进行加解密。
非对称加密:
描述:加解密使用不同的密钥。
特点:速度慢,安全性较高。
举例:RSA
使用场景:在对称加密前,使用非对称加密传输公共的密钥。
不可逆加密:
描述:只能加密,不能解密,加密过程不可逆。
特点:不可逆加密。
举例:md5
使用场景:使用md5(md5(password)),使用双重不可逆加密对用户密码加密,并存入数据库。在验证用户密码的时候,将待验证的数据进行双重加密后与数据库中的数据作比较即可。

RSA加解密

RSA元素:
公钥:发给对方
私钥:自己保留
说明:
a 公钥加密后,私钥可以解密。
b 私钥加密后公钥可以解密。
c 私钥签名后,公钥可以验签。
d 密钥长度一般有:1024bits(128bytes) 2048bits(256bytes) 3072bits 4096bits。
e 密文长度一般等于密钥长度。(128bytes 256bytes)
f 待加密数据的长度:
RSA_PKCS1_PADDING RSA_size(128bytes) - 11 padding(11bytes) =117bytes
RSA_NO_PADDING RSA_size(128bytes) - 0 = 128bytes
RSA_X931_PADDING RSA_size(128bytes) - 2 padding(2bytes) = 126bytes
常用用法:
a. 公钥加密,私钥解密。
b. 私钥加密并签名,公钥验签并解密。
常见问题:
RSA对待加密的数据有长度限制(Data must not be longer than 117 bytes),需要分块加密。
实际应用场景:
1--通信双方A和B各自生成一对密钥对(公钥,私钥)。
2--A和B交换公钥。
3--根据DH算法计算出一个A和B共有的共享密钥
(原理:shareKey = A_privateKey * B_publicKey = A_publicKey * B_privateKey)。这只是示意,实际的DH运算是:
设有这么一个二元组 (q, p) = (3, 7)
我们定义Alice和Bob这么一个运算:
(1)Alice 选择一个范围在[1, p-1]的随机数,为da= 5
(2)Alice 计算Pa = q^da mod p = 3^5 mod 7 = 5
(3)Bob选择一个范围在[1, p-1]的随机数,为db = 6
(4)Bob计算Pb = q^db mod p = 3^6 mod 7 = 1
(5)Alice和Bob交换Pa和Pb
(6)Alice计算共享密钥S = Pb ^da mod p = 1^5 mod 7 = 1
(7)Bob计算共享密钥S = Pa ^db mod p = 5^6 m 7 = 1
4--使用shareKey来进行对称加密。
有证书应用场景:
1--通信双方A和B各自生成一对密钥对(公钥,私钥)。
2--使用证书系统根私钥对公钥进行签名生成公钥证书A和公钥证书B。
3--A,B交换公钥证书。
4--A和B使用证书系统根证书对公钥证书进行验签。
5--验签通过后提取公钥。
6--根据DH算法计算出一个A和B共有的共享密钥
(原理:shareKey = A_privateKey * B_publicKey = A_publicKey * B_privateKey)。
7--使用shareKey来进行对称加密。

RSA 加解密实例程序

代码:

依赖第三方类库:javabase64-1.3.1.jar
下载地址:https://sourceforge.net/projects/java-base64/files/

Base64Utils.java

import java.io.ByteArrayInputStream;
import java.io.ByteArrayOutputStream;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.InputStream;
import java.io.OutputStream;
 
import it.sauronsoftware.base64.Base64;
 
/** *//**
 * 

* BASE64编码解码工具包 *

*

* 依赖javabase64-1.3.1.jar *

* * @author IceWee * @date 2012-5-19 * @version 1.0 */ public class Base64Utils { /** *//** * 文件读取缓冲区大小 */ private static final int CACHE_SIZE = 1024; /** *//** *

* BASE64字符串解码为二进制数据 *

* * @param base64 * @return * @throws Exception */ public static byte[] decode(String base64) throws Exception { return Base64.decode(base64.getBytes()); } /** *//** *

* 二进制数据编码为BASE64字符串 *

* * @param bytes * @return * @throws Exception */ public static String encode(byte[] bytes) throws Exception { return new String(Base64.encode(bytes)); } /** *//** *

* 将文件编码为BASE64字符串 *

*

* 大文件慎用,可能会导致内存溢出 *

* * @param filePath 文件绝对路径 * @return * @throws Exception */ public static String encodeFile(String filePath) throws Exception { byte[] bytes = fileToByte(filePath); return encode(bytes); } /** *//** *

* BASE64字符串转回文件 *

* * @param filePath 文件绝对路径 * @param base64 编码字符串 * @throws Exception */ public static void decodeToFile(String filePath, String base64) throws Exception { byte[] bytes = decode(base64); byteArrayToFile(bytes, filePath); } /** *//** *

* 文件转换为二进制数组 *

* * @param filePath 文件路径 * @return * @throws Exception */ public static byte[] fileToByte(String filePath) throws Exception { byte[] data = new byte[0]; File file = new File(filePath); if (file.exists()) { FileInputStream in = new FileInputStream(file); ByteArrayOutputStream out = new ByteArrayOutputStream(2048); byte[] cache = new byte[CACHE_SIZE]; int nRead = 0; while ((nRead = in.read(cache)) != -1) { out.write(cache, 0, nRead); out.flush(); } out.close(); in.close(); data = out.toByteArray(); } return data; } /** *//** *

* 二进制数据写文件 *

* * @param bytes 二进制数据 * @param filePath 文件生成目录 */ public static void byteArrayToFile(byte[] bytes, String filePath) throws Exception { InputStream in = new ByteArrayInputStream(bytes); File destFile = new File(filePath); if (!destFile.getParentFile().exists()) { destFile.getParentFile().mkdirs(); } destFile.createNewFile(); OutputStream out = new FileOutputStream(destFile); byte[] cache = new byte[CACHE_SIZE]; int nRead = 0; while ((nRead = in.read(cache)) != -1) { out.write(cache, 0, nRead); out.flush(); } out.close(); in.close(); } }

RSAUtils.java

改进点:
1 增加了try catch ,不用将异常抛出。这样可以给类的变量赋值。生成密钥对的时候使用。
2 增加了将公钥和私钥存储到文件的功能。

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.ByteArrayOutputStream;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.security.InvalidKeyException;
import java.security.Key;
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.Signature;
import java.security.interfaces.RSAPrivateKey;
import java.security.interfaces.RSAPublicKey;
import java.security.spec.InvalidKeySpecException;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.X509EncodedKeySpec;
import java.util.HashMap;
import java.util.Map;

import javax.crypto.BadPaddingException;
import javax.crypto.Cipher;
import javax.crypto.IllegalBlockSizeException;
import javax.crypto.NoSuchPaddingException;

/** *//**
* 

* RSA公钥/私钥/签名工具包 *

*

* 罗纳德·李维斯特(Ron [R]ivest)、阿迪·萨莫尔(Adi [S]hamir)和伦纳德·阿德曼(Leonard [A]dleman) *

*

* 字符串格式的密钥在未在特殊说明情况下都为BASE64编码格式
* 由于非对称加密速度极其缓慢,一般文件不使用它来加密而是使用对称加密,
* 非对称加密算法可以用来对对称加密的密钥加密,这样保证密钥的安全也就保证了数据的安全 *

* * @author IceWee * @date 2012-4-26 * @version 1.0 */ public class RSAUtils { /** *//** * 加密算法RSA */ public static final String KEY_ALGORITHM = "RSA"; /** *//** * 签名算法 */ public static final String SIGNATURE_ALGORITHM = "MD5withRSA"; /** *//** * 获取公钥的key */ private static final String PUBLIC_KEY = "RSAPublicKey"; /** *//** * 获取私钥的key */ private static final String PRIVATE_KEY = "RSAPrivateKey"; /** *//** * RSA最大加密明文大小 */ private static final int MAX_ENCRYPT_BLOCK = 117; /** *//** * RSA最大解密密文大小 */ private static final int MAX_DECRYPT_BLOCK = 128; /** *//** *

* 生成密钥对(公钥和私钥) *

* * @return * @throws Exception */ public static Map genKeyPair() { try { KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance(KEY_ALGORITHM); keyPairGen.initialize(1024); KeyPair keyPair = keyPairGen.generateKeyPair(); RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic(); RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate(); Map keyMap = new HashMap(2); keyMap.put(PUBLIC_KEY, publicKey); keyMap.put(PRIVATE_KEY, privateKey); return keyMap; } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 用私钥对信息生成数字签名 *

* * @param data 已加密数据 * @param privateKey 私钥(BASE64编码) * * @return * @throws Exception */ public static String sign(byte[] data, String privateKey) { try { byte[] keyBytes = Base64Utils.decode(privateKey); PKCS8EncodedKeySpec pkcs8KeySpec = new PKCS8EncodedKeySpec(keyBytes); KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM); PrivateKey privateK = keyFactory.generatePrivate(pkcs8KeySpec); Signature signature = Signature.getInstance(SIGNATURE_ALGORITHM); signature.initSign(privateK); signature.update(data); return Base64Utils.encode(signature.sign()); } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 校验数字签名 *

* * @param data 已加密数据 * @param publicKey 公钥(BASE64编码) * @param sign 数字签名 * * @return * @throws Exception * */ public static boolean verify(byte[] data, String publicKey, String sign) throws Exception { byte[] keyBytes = Base64Utils.decode(publicKey); X509EncodedKeySpec keySpec = new X509EncodedKeySpec(keyBytes); KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM); PublicKey publicK = keyFactory.generatePublic(keySpec); Signature signature = Signature.getInstance(SIGNATURE_ALGORITHM); signature.initVerify(publicK); signature.update(data); return signature.verify(Base64Utils.decode(sign)); } /** *//** *

* 私钥解密 *

* * @param encryptedData 已加密数据 * @param privateKey 私钥(BASE64编码) * @return * @throws Exception */ public static byte[] decryptByPrivateKey(byte[] encryptedData, String privateKey) { try { byte[] keyBytes = Base64Utils.decode(privateKey); PKCS8EncodedKeySpec pkcs8KeySpec = new PKCS8EncodedKeySpec(keyBytes); KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM); Key privateK = keyFactory.generatePrivate(pkcs8KeySpec); Cipher cipher = Cipher.getInstance(keyFactory.getAlgorithm()); cipher.init(Cipher.DECRYPT_MODE, privateK); int inputLen = encryptedData.length; ByteArrayOutputStream out = new ByteArrayOutputStream(); int offSet = 0; byte[] cache; int i = 0; // 对数据分段解密 while (inputLen - offSet > 0) { if (inputLen - offSet > MAX_DECRYPT_BLOCK) { cache = cipher.doFinal(encryptedData, offSet, MAX_DECRYPT_BLOCK); } else { cache = cipher.doFinal(encryptedData, offSet, inputLen - offSet); } out.write(cache, 0, cache.length); i++; offSet = i * MAX_DECRYPT_BLOCK; } byte[] decryptedData = out.toByteArray(); out.close(); return decryptedData; } catch (InvalidKeyException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (NoSuchAlgorithmException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (InvalidKeySpecException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (NoSuchPaddingException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IllegalBlockSizeException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (BadPaddingException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 公钥解密 *

* * @param encryptedData 已加密数据 * @param publicKey 公钥(BASE64编码) * @return * @throws Exception */ public static byte[] decryptByPublicKey(byte[] encryptedData, String publicKey) { try { byte[] keyBytes = Base64Utils.decode(publicKey); X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes); KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM); Key publicK = keyFactory.generatePublic(x509KeySpec); Cipher cipher = Cipher.getInstance(keyFactory.getAlgorithm()); cipher.init(Cipher.DECRYPT_MODE, publicK); int inputLen = encryptedData.length; ByteArrayOutputStream out = new ByteArrayOutputStream(); int offSet = 0; byte[] cache; int i = 0; // 对数据分段解密 while (inputLen - offSet > 0) { if (inputLen - offSet > MAX_DECRYPT_BLOCK) { cache = cipher.doFinal(encryptedData, offSet, MAX_DECRYPT_BLOCK); } else { cache = cipher.doFinal(encryptedData, offSet, inputLen - offSet); } out.write(cache, 0, cache.length); i++; offSet = i * MAX_DECRYPT_BLOCK; } byte[] decryptedData = out.toByteArray(); out.close(); return decryptedData; } catch (InvalidKeyException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (NoSuchAlgorithmException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (InvalidKeySpecException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (NoSuchPaddingException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IllegalBlockSizeException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (BadPaddingException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 公钥加密 *

* * @param data 源数据 * @param publicKey 公钥(BASE64编码) * @return * @throws Exception */ public static byte[] encryptByPublicKey(byte[] data, String publicKey) { try { byte[] keyBytes = Base64Utils.decode(publicKey); X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes); KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM); Key publicK = keyFactory.generatePublic(x509KeySpec); // 对数据加密 Cipher cipher = Cipher.getInstance(keyFactory.getAlgorithm()); cipher.init(Cipher.ENCRYPT_MODE, publicK); int inputLen = data.length; ByteArrayOutputStream out = new ByteArrayOutputStream(); int offSet = 0; byte[] cache; int i = 0; // 对数据分段加密 while (inputLen - offSet > 0) { if (inputLen - offSet > MAX_ENCRYPT_BLOCK) { cache = cipher.doFinal(data, offSet, MAX_ENCRYPT_BLOCK); } else { cache = cipher.doFinal(data, offSet, inputLen - offSet); } out.write(cache, 0, cache.length); i++; offSet = i * MAX_ENCRYPT_BLOCK; } byte[] encryptedData = out.toByteArray(); out.close(); return encryptedData; } catch (InvalidKeyException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (NoSuchAlgorithmException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (InvalidKeySpecException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (NoSuchPaddingException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IllegalBlockSizeException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (BadPaddingException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 私钥加密 *

* * @param data 源数据 * @param privateKey 私钥(BASE64编码) * @return * @throws Exception */ public static byte[] encryptByPrivateKey(byte[] data, String privateKey) { try { byte[] keyBytes = Base64Utils.decode(privateKey); PKCS8EncodedKeySpec pkcs8KeySpec = new PKCS8EncodedKeySpec(keyBytes); KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM); Key privateK = keyFactory.generatePrivate(pkcs8KeySpec); Cipher cipher = Cipher.getInstance(keyFactory.getAlgorithm()); cipher.init(Cipher.ENCRYPT_MODE, privateK); int inputLen = data.length; ByteArrayOutputStream out = new ByteArrayOutputStream(); int offSet = 0; byte[] cache; int i = 0; // 对数据分段加密 while (inputLen - offSet > 0) { if (inputLen - offSet > MAX_ENCRYPT_BLOCK) { cache = cipher.doFinal(data, offSet, MAX_ENCRYPT_BLOCK); } else { cache = cipher.doFinal(data, offSet, inputLen - offSet); } out.write(cache, 0, cache.length); i++; offSet = i * MAX_ENCRYPT_BLOCK; } byte[] encryptedData = out.toByteArray(); out.close(); return encryptedData; } catch (InvalidKeyException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (NoSuchAlgorithmException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (InvalidKeySpecException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (NoSuchPaddingException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IllegalBlockSizeException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (BadPaddingException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 获取私钥 *

* * @param keyMap 密钥对 * @return * @throws Exception */ public static String getPrivateKey(Map keyMap) { try { Key key = (Key) keyMap.get(PRIVATE_KEY); return Base64Utils.encode(key.getEncoded()); } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 获取公钥 *

* * @param keyMap 密钥对 * @return * @throws Exception */ public static String getPublicKey(Map keyMap) { try { Key key = (Key) keyMap.get(PUBLIC_KEY); return Base64Utils.encode(key.getEncoded()); } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 获取私钥 *

* * @param privateKeystore 读取存储私钥的文件 * @return * @throws Exception */ public static String readPrivateKeyFile(String privateKeystore) { try { StringBuilder privateKey = new StringBuilder(); FileReader fr = new FileReader(privateKeystore); BufferedReader br = new BufferedReader(fr); String line; while ((line = br.readLine()) != null) { privateKey.append(line); } br.close(); fr.close(); return privateKey.toString(); } catch (FileNotFoundException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 获取公钥 *

* * @param publicKeystore 存储公钥的文件 * @return * @throws Exception */ public static String readPublicKeyFile(String publicKeystore) { try { StringBuilder publicKey = new StringBuilder(); FileReader fr = new FileReader(publicKeystore); BufferedReader br = new BufferedReader(fr); String line; while ((line = br.readLine()) != null) { publicKey.append(line); } br.close(); fr.close(); return publicKey.toString(); } catch (FileNotFoundException e) { // TODO Auto-generated catch block e.printStackTrace(); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } return null; } /** *//** *

* 存储私钥到文件 *

* * @param privateKey 私钥字符串 * @param privateKeystore 存储私钥的文件 * @return * @throws Exception */ public static void writePrivateKeyFile(String privateKey, String privateKeystore) { try { FileWriter fw = new FileWriter(privateKeystore); fw.write(privateKey); fw.flush(); fw.close(); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } } /** *//** *

* 存储公钥到文件 *

* * @param publicKey 公钥文件 * @param publicKeystore 存储公钥的文件 * @return * @throws Exception */ public static void writePublicKeyFile(String publicKey, String publicKeystore) { try { FileWriter fw = new FileWriter(publicKeystore); fw.write(publicKey); fw.flush(); fw.close(); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } } public static void testEncryptAndSignByPrivateKey(String publicKey, String privateKey) { System.err.println("私钥加密<===>公钥解密"); String source = "1. 这是测试通过私钥加密,公钥解密的测试源数据" + "2. 这是测试通过私钥加密,公钥解密的测试源数据" + "3. 这是测试通过私钥加密,公钥解密的测试源数据" + "4. 这是测试通过私钥加密,公钥解密的测试源数据" + "5. 这是测试通过私钥加密,公钥解密的测试源数据" + "6. 这是测试通过私钥加密,公钥解密的测试源数据" + "7. 这是测试通过私钥加密,公钥解密的测试源数据" + "8. 这是测试通过私钥加密,公钥解密的测试源数据" + "9. 这是测试通过私钥加密,公钥解密的测试源数据" + "10. 这是测试通过私钥加密,公钥解密的测试源数据" ; System.out.println("加密前的数据:\r\n" + source); byte[] data = source.getBytes(); try { byte[] encodeData = RSAUtils.encryptByPrivateKey(data, privateKey); System.out.println("加密后的数据:\r\n" + new String(encodeData)); byte[] decodeData = RSAUtils.decryptByPublicKey(encodeData, publicKey); System.out.println("解密后的数据: \r\n" + new String(decodeData)); System.err.println("私钥签名<===>公钥验签"); String sign = RSAUtils.sign(decodeData, privateKey); System.out.println("签名数据: \r\n" + sign); boolean status = RSAUtils.verify(decodeData, publicKey, sign); System.out.println("验签结果:\r\n" + status); } catch (Exception e) { // TODO: handle exception e.printStackTrace(); } } public static void testEncryptByPublicKey(String publicKey, String privateKey) { System.err.println("公钥加密<===>私钥解密"); String source = "这是测试公钥加密,私钥解密的测试源数据"; System.out.println("加密前的数据:\r\n" + source); // byte[] data = source.getBytes(); try { byte[] data = source.getBytes(); byte[] encodedData = RSAUtils.encryptByPublicKey(data, publicKey); System.out.println("加密后的数据: \r\n" + new String(encodedData)); byte[] decodedData = RSAUtils.decryptByPrivateKey(encodedData, privateKey); System.out.println("解密后的数据: \r\n" + new String(decodedData)); } catch (Exception e) { // TODO Auto-generated catch block e.printStackTrace(); } } public static void main(String[] args) { String publicKey; String privateKey; try { Map keyMap = RSAUtils.genKeyPair(); publicKey = RSAUtils.getPublicKey(keyMap); privateKey = RSAUtils.getPrivateKey(keyMap); System.err.println("PublicKey: \r\n" + publicKey); System.err.println("PrivateKey: \r\n" + privateKey); Thread.sleep(100); testEncryptByPublicKey(publicKey, privateKey); Thread.sleep(100); testEncryptAndSignByPrivateKey(publicKey, privateKey); System.err.println("测试存储公钥文件: "); String publicKeystore = "D:\\test\\RSA\\publicKey.store"; writePublicKeyFile(publicKey, publicKeystore); System.out.println("write ok"); Thread.sleep(100); System.err.println("测试读取公钥文件: "); String readPublicKey = readPublicKeyFile(publicKeystore); System.out.println("读取的公钥文件:\r\n" + readPublicKey); } catch (Exception e) { // TODO: handle exception e.printStackTrace(); } } }

程序运行结果:

image.png

image.png

参考

DH算法:
https://blog.csdn.net/y_xianjun/article/details/81327943
MD5与对称加密、非对称加密算法的比较:
https://blog.csdn.net/wangpeng322/article/details/84106548
java对称加密与非对称加密(DES、AES、RSA的实现):
https://blog.csdn.net/chengbinbbs/article/details/78640589
RSA密钥长度、明文长度和密文长度
https://blog.csdn.net/luoluo_onion/article/details/78354799

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