RSA加密算法是一種非對稱加密算法。在公開密鑰加密和電子商業中RSA被廣泛使用。RSA是1977年由羅納德·李維斯特(Ron Rivest)、阿迪·薩莫爾(Adi Shamir)和倫納德·阿德曼(Leonard Adleman)一起提出的。當時他們三人都在麻省理工學院工作。RSA就是他們三人姓氏開頭字母拼在一起組成的。
RSA是第一個比較完善的公開密鑰算法,它既能用於加密,也能用於數字簽名。這個算法經受住了多年深入的密碼分析,雖然密碼分析者既不能證明也不能否定RSA的安全性,但這恰恰說明該算法有一定的可信性,目前它已經成為最流行的公開密鑰算法。
RSA的安全基於大數分解的難度。其公鑰和私鑰是一對大素數(100到200位十進制數或更大)的函數。從一個公鑰和密文恢復出明文的難度,等價於分解兩個大素數之積(這是公認的數學難題)。
RSA的公鑰、私鑰的組成,以及加密、解密的公式可見於下表:
版本
語言 | 版本 |
---|---|
PHP | 7.3.11 |
Java | 1.8.0_231 |
密鑰生成
PHP
RSAUtils::resetGenKeyPair
public static function resetGenKeyPair()
{
$config = array(
"private_key_bits" => self::PRIVATE_KEY_BITS,
"private_key_type" => self::KEY_ALGORITHM,
);
$openssl = openssl_pkey_new($config);
openssl_pkey_export($openssl, $privateKey);
$publicKey = openssl_pkey_get_details($openssl);
$publicKey = $publicKey["key"];
return [
'publicKey' => $publicKey,
'privateKey' => $privateKey,
'publicKeyStr' => self::key2str($publicKey),
'privateKeyStr' => self::key2str($privateKey)
];
}
Java
RSAUtils.resetGenKeyPair
static Map<String, Object> resetGenKeyPair() throws Exception {
KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance(KEY_ALGORITHM);
keyPairGen.initialize(1024);
KeyPair keyPair = keyPairGen.generateKeyPair();
RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic();
RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate();
Map<String, Object> keyMap = new HashMap<String, Object>(2);
keyMap.put(PUBLIC_KEY, publicKey);
keyMap.put(PRIVATE_KEY, privateKey);
return keyMap;
}
簽名
私鑰加簽。
有時簽名可能會因為數據編碼不同而導致不一致,所以要求 PHP 和 Java 都對數據進行編碼處理。
PHP
RSAUtils::sign
public static function sign($dataStr, $privateKey)
{
$dataStr = self::str2utf8($dataStr);
$privateKeyId = openssl_get_privatekey($privateKey);
openssl_sign($dataStr, $sign, $privateKeyId, self::SIGNATURE_ALGORITHM);
openssl_free_key($privateKeyId);
return base64_encode($sign);
}
Java
RSAUtils.sign
static String sign(String data, String privateKey) throws Exception {
byte[] keyBytes = Base64.decode(privateKey);
PKCS8EncodedKeySpec pkcs8KeySpec = new PKCS8EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM);
PrivateKey privateK = keyFactory.generatePrivate(pkcs8KeySpec);
Signature signature = Signature.getInstance(SIGNATURE_ALGORITHM);
signature.initSign(privateK);
signature.update(data.getBytes(ENCODING));
return Base64.encodeToString(signature.sign());
}
驗簽
公鑰驗簽。
PHP
RSAUtils::verifySign
public static function verifySign($dataStr, $publicKey, $sign)
{
$dataStr = self::str2utf8($dataStr);
$publicKeyId = openssl_get_publickey($publicKey);
return (boolean) openssl_verify($dataStr, base64_decode($sign), $publicKeyId, self::SIGNATURE_ALGORITHM);
}
Java
RSAUtils.verifySign
static boolean verifySign(String data, String publicKey, String sign) throws Exception {
try {
byte[] keyBytes = Base64.decode(publicKey);
X509EncodedKeySpec keySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM);
PublicKey publicK = keyFactory.generatePublic(keySpec);
Signature signature = Signature.getInstance(SIGNATURE_ALGORITHM);
signature.initVerify(publicK);
signature.update(data.getBytes(ENCODING));
return signature.verify(Base64.decode(sign));
} catch (Exception e) {
throw e;
}
}
加密
公鑰加密
PHP
RSAUtils::encryptByPublicKey
public static function encryptByPublicKey($dataStr, $publicKey)
{
$dataStr = self::str2utf8($dataStr);
$publicKeyId = openssl_get_publickey($publicKey);
$data = "";
$dataArray = str_split($dataStr, self::PRIVATE_KEY_BITS / 8 - 11);
foreach ($dataArray as $value) {
openssl_public_encrypt($value,$encryptedTemp, $publicKeyId,self::EN_DE_ALGORITHM);
$data .= $encryptedTemp;
}
openssl_free_key($publicKeyId);
return base64_encode($data);
}
Java
RSAUtils.encryptByPublicKey
static String encryptByPublicKey(String dataStr, String publicKey) throws Exception {
byte[] data = dataStr.getBytes(ENCODING);
byte[] keyBytes = Base64.decode(publicKey);
X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM);
Key publicK = keyFactory.generatePublic(x509KeySpec);
Cipher cipher = Cipher.getInstance(keyFactory.getAlgorithm());
cipher.init(Cipher.ENCRYPT_MODE, publicK);
int inputLen = data.length;
ByteArrayOutputStream out = new ByteArrayOutputStream();
int offSet = 0;
byte[] cache;
int i = 0;
while (inputLen - offSet > 0) {
if (inputLen - offSet > MAX_ENCRYPT_BLOCK) {
cache = cipher.doFinal(data, offSet, MAX_ENCRYPT_BLOCK);
} else {
cache = cipher.doFinal(data, offSet, inputLen - offSet);
}
out.write(cache, 0, cache.length);
i++;
offSet = i * MAX_ENCRYPT_BLOCK;
}
byte[] encryptedData = out.toByteArray();
out.close();
return Base64.encodeToString(encryptedData);
}
私鑰加密
PHP
RSAUtils::encryptByPrivateKey
public static function encryptByPrivateKey($dataStr, $privateKey)
{
$dataStr = self::str2utf8($dataStr);
$privateKeyId = openssl_get_privatekey($privateKey);
$data = "";
$dataArray = str_split($dataStr, self::PRIVATE_KEY_BITS / 8 - 11);
foreach ($dataArray as $value) {
openssl_private_encrypt($value,$encryptedTemp, $privateKeyId,self::EN_DE_ALGORITHM);
$data .= $encryptedTemp;
}
openssl_free_key($privateKeyId);
return base64_encode($data);
}
Java
RSAUtils.encryptByPrivateKey
static String encryptByPrivateKey(String dataStr, String privateKey) throws Exception {
byte[] data = dataStr.getBytes(ENCODING);
byte[] keyBytes = Base64.decode(privateKey);
PKCS8EncodedKeySpec pkcs8KeySpec = new PKCS8EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM);
Key privateK = keyFactory.generatePrivate(pkcs8KeySpec);
Cipher cipher = Cipher.getInstance(keyFactory.getAlgorithm());
cipher.init(Cipher.ENCRYPT_MODE, privateK);
int inputLen = data.length;
ByteArrayOutputStream out = new ByteArrayOutputStream();
int offSet = 0;
byte[] cache;
int i = 0;
while (inputLen - offSet > 0) {
if (inputLen - offSet > MAX_ENCRYPT_BLOCK) {
cache = cipher.doFinal(data, offSet, MAX_ENCRYPT_BLOCK);
} else {
cache = cipher.doFinal(data, offSet, inputLen - offSet);
}
out.write(cache, 0, cache.length);
i++;
offSet = i * MAX_ENCRYPT_BLOCK;
}
byte[] encryptedData = out.toByteArray();
out.close();
return Base64.encodeToString(encryptedData);
}
解密
公鑰解密
PHP
RSAUtils::decryptByPublicKey
public static function decryptByPublicKey($encryptData, $publicKey) {
$decrypted = "";
$decodeStr = base64_decode($encryptData);
$publicKeyId = openssl_get_publickey($publicKey);
$enArray = str_split($decodeStr, self::PRIVATE_KEY_BITS / 8);
foreach ($enArray as $value) {
openssl_public_decrypt($value,$decryptedTemp, $publicKeyId,self::EN_DE_ALGORITHM);
$decrypted .= $decryptedTemp;
}
openssl_free_key($publicKeyId);
return $decrypted;
}
Java
RSAUtils.decryptByPublicKey
static String decryptByPublicKey(String encryptedDataStr, String publicKey) throws Exception {
byte[] encryptedData = Base64.decode(encryptedDataStr);
byte[] keyBytes = Base64.decode(publicKey);
X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(keyBytes);
KeyFactory keyFactory = KeyFactory.getInstance(KEY_ALGORITHM);
Key publicK = keyFactory.generatePublic(x509KeySpec);
Cipher cipher = Cipher.getInstance(keyFactory.getAlgorithm());
cipher.init(Cipher.DECRYPT_MODE, publicK);
int inputLen = encryptedData.length;
ByteArrayOutputStream out = new ByteArrayOutputStream();
int offSet = 0;
byte[] cache;
int i = 0;
while (inputLen - offSet > 0) {
if (inputLen - offSet > MAX_DECRYPT_BLOCK) {
cache = cipher.doFinal(encryptedData, offSet, MAX_DECRYPT_BLOCK);
} else {
cache = cipher.doFinal(encryptedData, offSet, inputLen - offSet);
}
out.write(cache, 0, cache.length);
i++;
offSet = i * MAX_DECRYPT_BLOCK;
}
byte[] decryptedData = out.toByteArray();
out.close();
return new String(decryptedData, ENCODING);
}
私鑰解密
PHP
RSAUtils::decryptByPrivateKey
public static function decryptByPrivateKey($encryptData, $private) {
$decrypted = "";
$decodeStr = base64_decode($encryptData);
$privateKeyId = openssl_get_privatekey($private);
$enArray = str_split($decodeStr, self::PRIVATE_KEY_BITS / 8);
foreach ($enArray as $value) {
openssl_private_decrypt($value,$decryptedTemp, $privateKeyId,self::EN_DE_ALGORITHM);
$decrypted .= $decryptedTemp;
}
openssl_free_key($privateKeyId);
return $decrypted;
}
Java
RSAUtils.decryptByPrivateKey
static String decryptByPrivateKey(String encryptedDataStr, String privateKey) throws Exception {
byte[] encryptedData = Base64.decode(encryptedDataStr);
byte[] keyBytes = Base64.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;
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 new String(decryptedData, ENCODING);
}
Demo
完整 Demo 源碼:BNDong/demo/PhpJavaRsa