[pycrypto] PyCrypto AND Crypt_RSA integration

[Mauricio Arozi]

Hello,
I'm trying to import/export keys from/to
Crypt_RSA<http://pear.php.net/package/Crypt_RSA>,
using PyCrypto <http://www.dlitz.net/software/pycrypto/>. My problem is that
while using PyCrypto to generate both public and private keys, the
e(exponent?) is always the same.
According to this site: http://pajhome.org.uk/crypt/rsa/rsa.html, and yet
others, the e(exponent?) is used for the public key, and d for the private
key.
 Public Key

n = 133
e = 5
 Secret Key

n = 133
d = 65

With Crypt_RSA  the e(exponent!) does change. And, currently, Crypt_RSA
'should' import a key with:

function Crypt_RSA_Key
<http://pear.php.net/package/Crypt_RSA/docs/latest/Crypt_RSA/Crypt_RSA_Key.html#methodCrypt_RSA_Key>*(**$modulus**,
**$exp**, **$key_type**, **$wrapper_name *= 'default'*,
**$error_handler *= ''*)*


I've made some examples to find out why it's no working, I couldn't find
anything besides what I'm telling here, I'm getting:

**

I'm getting:

*php output:*
public:
e = 576770076438170600293020230006
11111558980619493053522755045300999066282094579
n =
8181236468479469953170512321145304204212043012891758446155743461774497958816815322484398388795674807728198188380330393972375008693925124720339387183472981

private:
e =
437180361711592053741873121324365600858808727935298705094471030803249044470609246732980373383618106117311336729585366532974229499133803473168583498751419
n =
8181236468479469953170512321145304204212043012891758446155743461774497958816815322484398388795674807728198188380330393972375008693925124720339387183472981

plain text:             This is the secret phrase testing.
key:
YTozOntpOjA7czo2NDoiVSFbfK0ZrvVUOUo/EejHR7YO4F8ugtRGrDPSjrTZEMYZqLUuiZhNhxr2ZdSyvoBN/2wfVnYJzqqYrYT/BA01nCI7aToxO3M6MzI6IvPv6+fj39vXU1DMyMRAvbk1sq4qpyOgHJkVkg6LB4R/IjtpOjI7czo2OiJwdWJsaWMiO30=
encrypted text:
mBL6f3pRyFX34nB/0H5jL3VOwylAjJzGx32UKS11EOhtooAVjdiYZHGh5jUOAUWj3GD9+ccPPyh5afXmGrq3UA==
decrypted text:         This is the secret phrase testing.

*python output:*
privkey

n=6725954312330247844957820045120819261330667638399165421086669714474128366894973621051940873915934423533814876921018123156635212781400913635892080927069649
        e=65537

d=4335534734949590616144210259946732528112578457728805761841499642766064251636039038235790562167224376876190746808970727821310520543898873435686861965120773

p=67052724006509355618909096968505962144329319327659728670702224750645922227811

q=100308442527663820502897858910213458115962396303231005493840992047817473580859

u=49237107846093262220122150056829317849796914810691525815572680169759496162772

pubkey

n=6725954312330247844957820045120819261330667638399165421086669714474128366894973621051940873915934423533814876921018123156635212781400913635892080927069649
        e=65537

msg=            This is the secret phrase testing.
data=           Sh'fâªaÓÏ!_ÍTÊÅ\~1rA²µG!ðbS(e¨(R)e{]Èî¬<PÍL³,$h
strdata=
("Sh'f\x12\xe2\xaa\x82a\xd3\xcf\x98!_\xcd\x94T\xca\x05\xc5\\~\x7f1r\x95\x9eA\xb2\xb5G!\x15\xf0bS(e\x94\xa8\x90\xaee\x01{]\xc8\xee\xac<\x07P\xcd\x87\x8eL\x84\x8e\x8f\xb3,\x9a$h",)
decrypted=   This is the secret phrase testing.

here are the sources:
*cryp.py
*from Crypto.PublicKey import RSA
from Crypto.Util.randpool import RandomPool
import os
rpool = RandomPool()

# Generate keys
print os.urandom(0);
privkeyA = RSA.generate(512, rpool.get_bytes)
pubkeyA = privkeyA.publickey()

msg = 'This is the secret phrase testing.'
msgc = pubkeyA.encrypt(msg, '')
msgf = privkeyA.decrypt(msgc)

print 'privkey\n\tn=%s\n\te=%s\n\td=%s\n\tp=%s\n\tq=%s\n\tu=%s\n' %
(privkeyA.n, privkeyA.e, privkeyA.d, privkeyA.p, privkeyA.q, privkeyA.u)
print 'pubkey\n\tn=%s\n\te=%s\n' % (pubkeyA.n, pubkeyA.e)
print 'msg=\t\t%s\ndata=\t\t%s\nstrdata=\t%s\ndecrypted=\t%s\n' % (msg,
msgc[0],str(msgc),msgf)

*cryp.php
*<?php
    require_once 'Crypt/RSA.php';
    require_once 'Crypt/RSA/MathLoader.php';

    //Generates the pair keys
    function generate_key_pair()
    {
        global $public_key,$private_key;
        $obj = &Crypt_RSA_MathLoader::loadWrapper('default');

        $key_pair = new Crypt_RSA_KeyPair(512);

        //Returns public key from the pair
        $public_key = $key_pair->getPublicKey();
        echo "public:\ne = ".$obj->bin2int($public_key->getExponent())."\nn
= ".$obj->bin2int($public_key->getModulus())."\n\n";

        //Returns private key from the pair
        $private_key = $key_pair->getPrivateKey();
        echo "private:\ne =
".$obj->bin2int($private_key->getExponent())."\nn =
".$obj->bin2int($private_key->getModulus())."\n\n";
    }

    //Check runtime errors
    function check_error(&$obj)
    {
        if (PEAR::isError($obj)) {
            echo "error: ", $obj->getMessage(), "\n";
        }
        if ($obj->isError()){
         $error = $obj->getLastError();
         switch ($error->getCode()) {
         case CRYPT_RSA_ERROR_WRONG_TAIL :
            // nothing to do
            break;
         default:
            // echo error message and exit
            echo 'error: ', $error->getMessage();
            exit;
         }
        }
    }

    generate_key_pair();
    $plain_text = 'This is the secret phrase testing.';
    echo "plain text:\t\t".$plain_text."\n";

    //get string represenation of the public key
    $key = Crypt_RSA_Key::fromString($public_key->toString());
    echo "key:\t\t\t".$public_key->toString()."\n";

    $rsa_obj = new Crypt_RSA;
    check_error($rsa_obj);

    //Ecnrypts $plain_text by the key $key.
    $encrypted = $rsa_obj->encrypt($plain_text, $key);

    $enc_text = $encrypted;
    echo "encrypted text:\t\t".$enc_text."\n";

    //Get string represenation of the private key
    $key2 = Crypt_RSA_Key::fromString($private_key->toString());
    check_error($key2);

    //Check encrypting/decrypting function's behaviour
    $rsa_obj->setParams(array('dec_key' => $key2));
    check_error($rsa_obj);

    //Decrypts $enc_text
    $decrypted = $rsa_obj->decrypt($enc_text);
    echo "decrypted text:\t\t".$decrypted."\n";

?>

Thanks in advance.
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