Java RSA身份验证问题

我正在制作一个系统，我想通过RSA验证服务器的身份，但我似乎无法让服务器正确解密客户端的消息

公钥和私钥位于阵列的插槽0中，mod位于插槽1中，因此它们的设置正确

客户端代码

int keyLength = 3072 / 8;//RSA key size
byte[] data = new byte[keyLength];

//Generate some random data. Note that
//Only the fist half of this will be used.
new SecureRandom().nextBytes(data);

int serverKeySize = in.readInt();
if (serverKeySize != keyLength) {//Definitely not the right heard
    return false;
}

//Take the server's half of the random data and pass ours
in.readFully(data, keyLength / 2 , keyLength / 2);

//Encrypt the data
BigInteger[] keys = getKeys();
BigInteger original = new BigInteger(data);
BigInteger encrypted = original.modPow(keys[0], keys[1]);
data = encrypted.toByteArray();

out.write(data);

//If the server's hash doesn't match, the server has the wrong key!
in.readFully(data, 0, data.length);

BigInteger decrypted = new BigInteger(data);

return original.equals(decrypted);

int keyLength = 3072 / 8;//Key length
byte[] data = new byte[keyLength];

//Send the second half of the key
out.write(data, keyLength / 2, keyLength / 2);
in.readFully(data);

BigInteger[] keys = getKeys();
BigInteger encrypted = new BigInteger(data);
BigInteger original = encrypted.modPow(keys[0], keys[1]);
data = original.toByteArray();

out.write(data);

服务器端代码

int keyLength = 3072 / 8;//RSA key size
byte[] data = new byte[keyLength];

//Generate some random data. Note that
//Only the fist half of this will be used.
new SecureRandom().nextBytes(data);

int serverKeySize = in.readInt();
if (serverKeySize != keyLength) {//Definitely not the right heard
    return false;
}

//Take the server's half of the random data and pass ours
in.readFully(data, keyLength / 2 , keyLength / 2);

//Encrypt the data
BigInteger[] keys = getKeys();
BigInteger original = new BigInteger(data);
BigInteger encrypted = original.modPow(keys[0], keys[1]);
data = encrypted.toByteArray();

out.write(data);

//If the server's hash doesn't match, the server has the wrong key!
in.readFully(data, 0, data.length);

BigInteger decrypted = new BigInteger(data);

return original.equals(decrypted);

int keyLength = 3072 / 8;//Key length
byte[] data = new byte[keyLength];

//Send the second half of the key
out.write(data, keyLength / 2, keyLength / 2);
in.readFully(data);

BigInteger[] keys = getKeys();
BigInteger encrypted = new BigInteger(data);
BigInteger original = encrypted.modPow(keys[0], keys[1]);
data = original.toByteArray();

out.write(data);

---

AFAIK认为实现是正确的，但是它似乎没有产生正确的输出。同样不，出于各种原因，我不希望使用密码。

有一些关键的细节没有被考虑。要应用RSA的数据必须编码为BigInteger x，在加密算法方面，第一条规则是永远不要自己实现现有算法。使用现有的、已知能正常工作的实现，例如Java提供的。