com.orange.oidc.secproxy_service.KryptoUtils.java Source code

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/*
* 
* Copyright (C) 2015 Orange Labs
* 
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
* 
*    http://www.apache.org/licenses/LICENSE-2.0
* 
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
* 
*/

package com.orange.oidc.secproxy_service;

import java.math.BigInteger;
import java.nio.ByteBuffer;
import java.nio.charset.Charset;
import java.security.Key;
import java.security.KeyFactory;
import java.security.KeyPair;
import java.security.KeyPairGenerator;
import java.security.PrivateKey;
import java.security.PublicKey;
import java.security.SecureRandom;
import java.security.Signature;
import java.security.interfaces.RSAPrivateKey;
import java.security.spec.EncodedKeySpec;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.RSAPrivateKeySpec;
import java.security.spec.RSAPublicKeySpec;
import java.security.spec.X509EncodedKeySpec;
import java.util.Arrays;
import java.util.StringTokenizer;

import javax.crypto.Cipher;
import javax.crypto.Mac;
import javax.crypto.spec.IvParameterSpec;
import javax.crypto.spec.SecretKeySpec;

import org.json.JSONArray;
import org.json.JSONObject;

import android.util.Base64;
import android.util.Log;

/**
 * class KryptoUtils
 * encrypt and decrypt function ( AES, RSA ... )
 * using spongy castle library
 *
 */
public class KryptoUtils {

    // get public key from big number inputs as string
    static PublicKey getRsaPublicKey(String n, String e) {
        BigInteger rsaN = null;
        BigInteger rsaE = null;

        try {
            rsaN = new BigInteger(n);
            rsaE = new BigInteger(e);
        } catch (Exception ex) {
            ex.printStackTrace();
        }

        RSAPublicKeySpec pubRsaSpec = new RSAPublicKeySpec(rsaN, rsaE);
        try {
            KeyFactory keyfact = KeyFactory.getInstance("RSA", "SC");
            PublicKey pk = keyfact.generatePublic(pubRsaSpec);
            Log.d("getRsaPublicKey", "pubRsaKey OK " + pk.getFormat());
            return pk;
        } catch (Exception ex) {
            ex.printStackTrace();
        }
        return null;
    }

    // encode a byte array to a base64 string
    static String encodeB64(byte[] bytes) {
        try {
            return Base64.encodeToString(bytes, Base64.URL_SAFE | Base64.NO_PADDING | Base64.NO_WRAP);
        } catch (Exception e) {
        }
        return null;
    }

    // encode a byte array to a base64 string with no padding
    static String encodeB64NP(byte[] bytes) {
        return Base64.encodeToString(bytes, Base64.NO_PADDING);
    }

    // decode a byte array from a base64 string
    static byte[] decodeB64(String s64) {
        return Base64.decode(s64, Base64.URL_SAFE);
    }

    // decode a byte array from a base64 string with no padding
    static byte[] decodeB64NP(String s64) {
        return Base64.decode(s64, Base64.NO_PADDING);
    }

    // used for JWE : Json Web Encryption
    static final String jweHeader = "{\"alg\":\"RSA1_5\",\"enc\":\"A128CBC-HS256\",\"cty\":\"JWT\"}";
    static final String jweProtectedHeader = encodeB64(jweHeader.getBytes());

    // random key generation
    // parameter should be a multiple of 8
    static byte[] generateRandomKey(int bitSize) {
        if (bitSize == 0 || bitSize % 8 != 0)
            return null;
        return new SecureRandom().generateSeed(bitSize / 8);
    }

    // encode Key to a base64 string
    static String keyToBase64(Key k) {
        if (k != null)
            return encodeB64(k.getEncoded());
        return null;
    }

    // decode a RSA private key from a base64 encoded string
    static Key base64ToRsaPrivateKey(String b64) {
        if (b64 != null) {
            try {
                byte[] keyBytes = decodeB64(b64);
                if (keyBytes != null) {
                    KeyFactory keyFactory = KeyFactory.getInstance("RSA");
                    EncodedKeySpec privateKeySpec = new PKCS8EncodedKeySpec(keyBytes);
                    return keyFactory.generatePrivate(privateKeySpec);
                }
            } catch (Exception e) {
                e.printStackTrace();
            }
        }
        return null;
    }

    // decode a RSA public key from a base64 encoded string
    static Key base64ToRsaPublicKey(String b64) {
        if (b64 != null) {
            try {
                byte[] keyBytes = decodeB64(b64);
                if (keyBytes != null) {
                    KeyFactory keyFactory = KeyFactory.getInstance("RSA", "SC");
                    EncodedKeySpec publicKeySpec = new X509EncodedKeySpec(keyBytes);
                    return keyFactory.generatePublic(publicKeySpec);
                }
            } catch (Exception e) {
                e.printStackTrace();
            }
        }
        return null;
    }

    // generate a RSA keypair ( public and private key ) 
    static KeyPair generateRsaKeyPair() {
        return generateRsaKeyPair(512);
    }

    // generate a RSA keypair ( public and private key ) 
    static KeyPair generateRsaKeyPair(int keySizeInBits) {
        if (keySizeInBits == 0 || keySizeInBits % 8 != 0)
            return null;
        try {
            KeyPairGenerator generator = KeyPairGenerator.getInstance("RSA", "SC");
            generator.initialize(keySizeInBits, new SecureRandom());

            KeyPair pair = generator.generateKeyPair();

            // Log.d("","public : "+keyToBase64(pair.getPublic()));
            // Log.d("","private: "+keyToBase64(pair.getPrivate()));

            return pair;
        } catch (Exception e) {
            e.printStackTrace();
        }
        return null;
    }

    // encrypt a byte array using public rsa key
    // return result in base 64 encoded string
    static String encryptRsaB64(byte[] bytes, Key pubRsaKey) {
        try {
            Cipher cipher = Cipher.getInstance("RSA/None/PKCS1Padding", "SC");
            // cipher.init(Cipher.ENCRYPT_MODE, pubRsaKey, new SecureRandom());
            SecureRandom sc = null;
            cipher.init(Cipher.ENCRYPT_MODE, pubRsaKey, sc);
            byte[] cipherText = cipher.doFinal(bytes);
            return encodeB64(cipherText);
        } catch (Exception e) {
            e.printStackTrace();
        }
        return null;
    }

    // decrypt a base 64 encoded string using private rsa key
    // return byte array
    static byte[] decryptRsaB64(String s64, Key privRsaKey) {
        try {
            byte[] sBytes = decodeB64(s64);
            if (sBytes != null) {
                Cipher cipher = Cipher.getInstance("RSA/None/PKCS1Padding", "SC");
                cipher.init(Cipher.DECRYPT_MODE, privRsaKey);
                return cipher.doFinal(sBytes);
            }
        } catch (Exception e) {
            e.printStackTrace();
        }
        return null;
    }

    // encrypt a byte array using JWE ( Json Web Encryption )
    // if cek ( Content Encryption Key ) is null, a random 256 bits key is generated
    static String encryptJWE(byte[] bytes, Key pubRsaKey, byte[] cek) {
        // Log.d("","encryptJWE");
        try {
            // A.2.1
            // jwe header already computed as static
            // jweProtectedHeader;

            // A.2.2 Content Encryption Key (CEK)
            if (cek == null) {
                cek = generateRandomKey(256);
            }

            // Log.d("","cek: "+bytesToHex(cek));

            // A.2.3 Key Encryption
            String jweEncrypted64 = encryptRsaB64(cek, pubRsaKey);
            // Log.d("","jweEncrypted "+jweEncrypted64 );

            // A.2.4 Initialization Vector
            byte[] iv_key = generateRandomKey(128);

            // Log.d("","jweInitVector: "+bytesToHex(iv_key));
            String jweInitVector64 = encodeB64(iv_key);
            // Log.d("","jweInitVector64 "+jweInitVector64 );

            // A.2.5 Additional Authenticated Data
            byte[] aad = jweProtectedHeader.getBytes();

            // A.2.6. Content Encryption
            Cipher encrypt = Cipher.getInstance("AES/CBC/PKCS5Padding");

            // check cek result byte array
            if (cek == null || cek.length == 0 || (cek.length % 2) != 0)
                return null;
            int keySize = cek.length / 2;
            Log.d("", "Encryption AES: " + keySize * 8);

            byte aes_key[] = new byte[keySize];
            byte hmac_key[] = new byte[keySize];

            System.arraycopy(cek, 0, hmac_key, 0, keySize);
            System.arraycopy(cek, keySize, aes_key, 0, keySize);

            // Log.d("","hmac_key: "+bytesToHex(hmac_key));
            // Log.d("","aes_key: "+bytesToHex(aes_key));

            encrypt.init(Cipher.ENCRYPT_MODE, new SecretKeySpec(aes_key, "AES"), new IvParameterSpec(iv_key));
            byte[] cryptedBytes = encrypt.doFinal(bytes);
            String cryptedBytes64 = encodeB64(cryptedBytes);

            // compute hmac
            long al = aad.length * 8;

            // concatenate aad, iv_key, cryptedBytes and al 
            byte[] hmacData = new byte[aad.length + iv_key.length + cryptedBytes.length + 8];
            int offset = 0;
            System.arraycopy(aad, offset, hmacData, 0, aad.length);
            offset += aad.length;
            System.arraycopy(iv_key, 0, hmacData, offset, iv_key.length);
            offset += iv_key.length;
            System.arraycopy(cryptedBytes, 0, hmacData, offset, cryptedBytes.length);
            offset += cryptedBytes.length;
            ByteBuffer buffer = ByteBuffer.allocate(8);
            buffer.putLong(al);
            System.arraycopy(buffer.array(), 0, hmacData, offset, 8);

            // hmac
            Mac hmac = Mac.getInstance("HmacSHA256", "SC");
            hmac.init(new SecretKeySpec(hmac_key, "HmacSHA256"));
            byte[] hmacValue = hmac.doFinal(hmacData);

            // authentication tag
            byte[] auth_tag = Arrays.copyOf(hmacValue, 16);
            String auth_tag64 = encodeB64(auth_tag);

            // A.2.7. Complete Representation
            String finalString = jweProtectedHeader + "." + jweEncrypted64 + "." + jweInitVector64 + "."
                    + cryptedBytes64 + "." + auth_tag64;

            return finalString;

        } catch (Exception e) {
            e.printStackTrace();
        }

        return null;
    }

    // decrypt a byte array from JWE string
    static byte[] decryptJWE(String jwe, Key privRsaKey) {
        // Log.d("","decryptJWE");

        try {
            // split jwe string
            StringTokenizer tokens = new StringTokenizer(jwe, ".");
            int count = tokens.countTokens();
            // Log.d("","parts.length: "+count);

            if (count != 5)
                return null;

            String jweProtectedHeader64 = tokens.nextToken();
            String jweEncrypted64 = tokens.nextToken();
            String jweInitVector64 = tokens.nextToken();
            String cryptedBytes64 = tokens.nextToken();
            String auth_tag64 = tokens.nextToken();

            // decrypt cek using private rsa key
            byte[] cek = decryptRsaB64(jweEncrypted64, privRsaKey);

            // check cek result byte array
            if (cek == null || cek.length == 0 || (cek.length % 2) != 0)
                return null;

            int keySize = cek.length / 2;
            Log.d("", "Decryption AES: " + keySize * 8);

            // build aes_key and hmac_key
            byte aes_key[] = new byte[keySize];
            byte hmac_key[] = new byte[keySize];

            System.arraycopy(cek, 0, hmac_key, 0, keySize);
            System.arraycopy(cek, keySize, aes_key, 0, keySize);

            // decode initialization vector
            byte[] iv_key = decodeB64(jweInitVector64);

            Log.d("", "hmac_key: " + bytesToHex(hmac_key));
            Log.d("", "aes_key:  " + bytesToHex(aes_key));
            Log.d("", "iv_key:   " + bytesToHex(iv_key));

            // decrypt content using aes_key and iv_key
            byte[] cryptedBytes = decodeB64(cryptedBytes64);
            Cipher decrypt = Cipher.getInstance("AES/CBC/PKCS5Padding", "SC");
            decrypt.init(Cipher.DECRYPT_MODE, new SecretKeySpec(aes_key, "AES"), new IvParameterSpec(iv_key));
            byte[] decryptedBytes = decrypt.doFinal(cryptedBytes);

            Log.d("", "decryptedBytes:");
            Log.d("", bytesToHex(decryptedBytes));

            // validation verification
            byte[] aad = jweProtectedHeader64.getBytes();
            long al = aad.length * 8;

            // concatenate aad, iv_key, cryptedBytes and al 
            byte[] hmacData = new byte[aad.length + iv_key.length + cryptedBytes.length + 8];
            int offset = 0;
            System.arraycopy(aad, offset, hmacData, 0, aad.length);
            offset += aad.length;
            System.arraycopy(iv_key, 0, hmacData, offset, iv_key.length);
            offset += iv_key.length;
            System.arraycopy(cryptedBytes, 0, hmacData, offset, cryptedBytes.length);
            offset += cryptedBytes.length;
            ByteBuffer buffer = ByteBuffer.allocate(8);
            buffer.putLong(al);
            System.arraycopy(buffer.array(), 0, hmacData, offset, 8);

            // compute hmac
            Mac hmac = Mac.getInstance("HmacSHA256", "SC");
            hmac.init(new SecretKeySpec(hmac_key, "HmacSHA256"));
            byte[] hmacValue = hmac.doFinal(hmacData);

            // pick authentication tag
            byte[] authTag = Arrays.copyOf(hmacValue, 16);

            // validate authentication tag
            byte[] authTagRead = decodeB64(auth_tag64);
            for (int i = 0; i < 16; i++) {
                if (authTag[i] != authTagRead[i]) {
                    Log.d("", "validation failed");
                    return decryptedBytes;
                }
            }

            Log.d("", "validation success");

            // validation success
            return decryptedBytes;

        } catch (Exception e) {
            e.printStackTrace();
        }

        return null;
    }

    // get Base64 encoded signature for specified string data, key and algorithm
    static public String getSignature(String s, RSAPrivateKey privKey, String algorithm) {
        try {
            if ("RS256".compareTo(algorithm) == 0)
                algorithm = "SHA256withRSA";
            Signature signature = Signature.getInstance(algorithm, "SC");
            signature.initSign(privKey);
            signature.update(s.getBytes(Charset.forName("UTF-8")));
            byte[] signed = signature.sign();
            return encodeB64(signed);
        } catch (Exception e) {
            e.printStackTrace();
        }
        return null;
    }

    // sign a JWS string, with specified private key
    static public String signJWS(String s, String signHeader, String algorithm, RSAPrivateKey privKey) {
        String header64 = encodeB64(signHeader.getBytes());

        String signature = getSignature(header64 + "." + s, privKey, algorithm);
        if (signature != null)
            return header64 + "." + s + "." + signature;
        return null;
    }

    // verify a JWS string with specified keys
    static public boolean verifyJWS(String s, String algorithm, PublicKey pubKey, PrivateKey privKey) {
        // algorithm = "SHA256withRSA";
        // algorithm = "SHA1withRSA";

        boolean bverify = false;

        String parts[] = s.split("\\.");
        if (parts == null || parts.length != 3)
            return bverify;

        try {
            if ("RS256".compareTo(algorithm) == 0)
                algorithm = "SHA256withRSA";
            Signature signature = Signature.getInstance(algorithm, "SC");
            signature.initVerify(pubKey);
            signature.update((parts[0] + "." + parts[1]).getBytes());
            bverify = signature.verify(decodeB64(parts[2]));

            Log.d("verifyJWS", "payload: " + new String(decodeB64(parts[1])));
            /*
            // verify signature
            signature.initSign(privKey);
            signature.update((parts[0]+"."+parts[1]).getBytes());
            byte sig[] = signature.sign();
            String sig64 = encodeB64(sig);
            Log.d("verifyJWS","compute: "+sig64);
            */

        } catch (Exception e) {
            e.printStackTrace();
        }

        return bverify;
    }

    // BYTE to HEX STRING conversion and vice versa

    static String bytesToString(byte[] bytes) {
        if (bytes != null) {
            String s = "[ ";
            for (int i = 0; i < bytes.length; i++) {
                s += bytes[i];
                if ((i + 1) == bytes.length) {
                    s += " ]";
                } else {
                    s += ", ";
                }
            }
            return s;
        }
        return null;
    }

    final protected static char[] hexArrayM = "0123456789ABCDEF".toCharArray();
    final protected static char[] hexArraym = "0123456789abcdef".toCharArray();

    public static String bytesToHex(byte[] bytes) {
        int nSize = 2; // 3;
        char[] hexChars = new char[bytes.length * nSize];
        int v;
        for (int j = 0; j < bytes.length; j++) {
            v = bytes[j] & 0xFF;
            hexChars[j * nSize] = hexArrayM[v >>> 4];
            hexChars[j * nSize + 1] = hexArrayM[v & 0x0F];
            // hexChars[j * nSize + 2] = ' ';
        }

        return new String(hexChars);
    }

    // utility to convert byte arrays to it string representation, with an optional separator
    public static String bytesToHex(byte[] bytes, String sep) {
        if (sep == null)
            sep = "";

        int nSize = 2; // 3;
        StringBuffer sb = new StringBuffer((bytes.length + sep.length()) * nSize);
        int v;
        for (int j = 0; j < bytes.length; j++) {
            v = bytes[j] & 0xFF;
            sb.append(sep);
            sb.append(hexArrayM[v >>> 4]);
            sb.append(hexArrayM[v & 0x0F]);
        }

        return sb.toString();
    }

    // convert a byte to its string representation in hexa
    public static String byteToHex(byte b) {
        int v = b & 0xFF;
        return "" + hexArrayM[v >>> 4] + hexArrayM[v & 0x0F];
    }

    // convert a short integer to its string representation in hexa
    public static String shortToHex(int i) {
        return "" + byteToHex((byte) ((i & 0xFF00) >>> 8)) + byteToHex((byte) (i & 0xFF));
    }

    public static String bytesToHexm(byte[] bytes) {
        int nSize = 2; // 3;
        char[] hexChars = new char[bytes.length * nSize];
        int v;
        for (int j = 0; j < bytes.length; j++) {
            v = bytes[j] & 0xFF;
            hexChars[j * nSize] = hexArraym[v >>> 4];
            hexChars[j * nSize + 1] = hexArraym[v & 0x0F];
            // hexChars[j * nSize + 2] = ' ';
        }

        return new String(hexChars);
    }

    // utility to convert an hexa display string to its corresponding byte array
    final static byte[] hexByte = { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B, 0x0C,
            0x0D, 0x0E, 0x0F };

    public static byte[] hexToBytes(String hex) {
        // android.os.Debug.waitForDebugger();

        if (hex == null || hex.length() < 2)
            return null;

        int hexLength = hex.length() / 2;
        byte[] hexb = new byte[hexLength];
        for (int i = 0; i < hexLength; i++) {
            char a = hex.charAt(2 * i);
            char b = hex.charAt(1 + 2 * i);

            byte ba = 0, bb = 0;

            if (a >= '0' && a <= '9')
                ba = (byte) (a - '0');
            else if (a >= 'A' && a <= 'F')
                ba = (byte) (0x0A + a - 'A');

            if (b >= '0' && b <= '9')
                bb = (byte) (b - '0');
            else if (b >= 'A' && b <= 'F')
                bb = (byte) (0x0A + a - 'A');

            hexb[i] = (byte) (ba << 8 | bb);
        }

        return hexb;
    }

    // get a JWK string with public key from a previously generated keypair
    public static String getJwkPublic(KeyPair kp) {
        try {
            JSONObject jk = new JSONObject();
            jk.put("kty", "RSA");
            // generate random kid 
            SecureRandom random = new SecureRandom();
            String kid = new BigInteger(130, random).toString(32);
            jk.put("kid", kid);
            jk.put("e", "AQAB");

            KeyFactory kfactory = KeyFactory.getInstance("RSA");

            RSAPublicKeySpec kspec = (RSAPublicKeySpec) kfactory.getKeySpec(kp.getPublic(), RSAPublicKeySpec.class);

            jk.put("n", encodeB64(kspec.getModulus().toByteArray()));
            JSONArray ja = new JSONArray();
            ja.put(jk);
            JSONObject jo = new JSONObject();
            jo.put("keys", ja);

            // Log.d("getJwkPublic key: ",pubkey.toString());
            // Log.d("getJwkPublic jwk: ",jo.toString());

            return jo.toString();

        } catch (Exception e) {
            e.printStackTrace();
        }

        return null;
    }

    // get a JWK string with private key from a previously generated keypair
    public static String getJwkPrivate(KeyPair kp) {
        try {
            JSONObject jk = new JSONObject();
            jk.put("kty", "RSA");
            // generate random kid 
            SecureRandom random = new SecureRandom();
            String kid = new BigInteger(130, random).toString(32);
            jk.put("kid", kid);
            jk.put("e", "AQAB");

            KeyFactory kfactory = KeyFactory.getInstance("RSA");

            RSAPrivateKeySpec privkspec = (RSAPrivateKeySpec) kfactory.getKeySpec(kp.getPrivate(),
                    RSAPrivateKeySpec.class);
            RSAPublicKeySpec pubkspec = (RSAPublicKeySpec) kfactory.getKeySpec(kp.getPublic(),
                    RSAPublicKeySpec.class);

            // Log.d("getJwkPrivate n",pubkspec.getPublicExponent().toString());
            // Log.d("getJwkPrivate d",privkspec.getPrivateExponent().toString());

            jk.put("n", encodeB64(pubkspec.getModulus().toByteArray()));
            jk.put("d", encodeB64(privkspec.getPrivateExponent().toByteArray()));
            JSONArray ja = new JSONArray();
            ja.put(jk);
            JSONObject jo = new JSONObject();
            jo.put("keys", ja);

            return jo.toString();

        } catch (Exception e) {
            e.printStackTrace();
        }
        return null;
    }

    // parse a JWK string to extract private key
    public static RSAPrivateKey privKeyFromJwk(String jwkp) {
        RSAPrivateKey privKey = null;

        try {
            JSONObject jk = new JSONObject(jwkp).getJSONArray("keys").getJSONObject(0);

            BigInteger n = new BigInteger(1, decodeB64(jk.getString("n")));
            BigInteger d = new BigInteger(1, decodeB64(jk.getString("d")));
            // BigInteger e = new BigInteger(1, decodeB64(jk.getString("e")));

            // Log.d("privKeyFromJwk","n "+n);
            // Log.d("privKeyFromJwk","d "+d);
            // Log.d("privKeyFromJwk","e "+e);

            RSAPrivateKeySpec privRsaSpec = new RSAPrivateKeySpec(n, d);
            KeyFactory keyfact = KeyFactory.getInstance("RSA", "SC");
            privKey = (RSAPrivateKey) keyfact.generatePrivate(privRsaSpec);
            // Log.d("privKeyFromJwk","priv key length "+privRsaSpec.getModulus().toByteArray().length);

        } catch (Exception e) {
            e.printStackTrace();
        }

        return privKey;
    }

    // get the kid of a jwk
    public static String kidFromJwk(String jwkp) {
        String kid = "";
        try {
            JSONObject jk = new JSONObject(jwkp).getJSONArray("keys").getJSONObject(0);
            kid = jk.getString("kid");
            Log.d("kidFromJwk", "kid " + kid);
        } catch (Exception e) {
            e.printStackTrace();
        }
        return kid;
    }

    // parse a JWK string to extract public key
    public static PublicKey pubKeyFromJwk(String jwkp) {
        PublicKey pubKey = null;

        try {
            JSONObject jk = new JSONObject(jwkp).getJSONArray("keys").getJSONObject(0);

            BigInteger n = new BigInteger(1, decodeB64(jk.getString("n")));
            BigInteger e = new BigInteger(1, decodeB64(jk.getString("e")));

            // Log.d("pubKeyFromJwk","n "+n);
            // Log.d("pubKeyFromJwk","e "+e);

            RSAPublicKeySpec pubRsaSpec = new RSAPublicKeySpec(n, e);
            KeyFactory keyfact = KeyFactory.getInstance("RSA", "SC");
            pubKey = keyfact.generatePublic(pubRsaSpec);
            // Log.d("pubKeyFromJwk","pub key length "+pubRsaSpec.getModulus().toByteArray().length);

        } catch (Exception e) {
            e.printStackTrace();
        }

        return pubKey;
    }
}