Created
May 24, 2017 18:11
RSA Encryption Homomorphism
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<?php | |
/* Key generation */ | |
$keypair = openssl_pkey_new([ | |
"digest_alg" => "sha512", | |
"private_key_type" => OPENSSL_KEYTYPE_RSA, | |
'private_key_bits' => 1024 | |
]); | |
$secret = null; | |
if (!openssl_pkey_export($keypair, $secret)) { | |
die(openssl_error_string()); | |
} | |
$details = openssl_pkey_get_details($keypair); | |
$public = $details['key']; | |
/* Select a random message */ | |
$message = random_bytes(128); | |
/* Multiply ciphertext by this factor */ | |
$mult = gmp_init('3', 10); | |
$ciphertext = ''; | |
openssl_public_encrypt($message, $ciphertext, $public, OPENSSL_NO_PADDING); | |
$cipherNumber = gmp_init(bin2hex($ciphertext), '16'); | |
// $cipherPrime = $ciphertext; | |
$cipherMult = gmp_mul($cipherNumber, $mult); | |
$cipherPrimeHex = gmp_strval($cipherMult, '16'); | |
if (mb_strlen($cipherPrimeHex, '8bit') & 1 === 1) { | |
$cipherPrimeHex = '0' . $cipherPrimeHex; | |
} | |
$cipherPrime = hex2bin($cipherPrimeHex); | |
$decrypted = ''; | |
if (!openssl_private_decrypt($cipherPrime, $decrypted, $secret, OPENSSL_NO_PADDING)) { | |
die(openssl_error_string()); | |
} | |
/* Verify plaintext was multiplied */ | |
var_dump([ | |
'before' => bin2hex($message), | |
'after ' => bin2hex($decrypted) | |
]); |
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array(2) { | |
["before"]=> | |
string(256) "2bc92edc3c4ef2ac334411e15f3692577443e038dbd91e01563cbc134ee80e260826955ccf1bbe5c3f0eb1048ca6c546d3c02525b6cc4d9d193680444ac7f76417cbf982b04e30d815716de12ead1d94c4ccc2125f48b232c7ff2319793ea39105a43ce1c86be69474e6ad86fab0247f2db0198c317d115aebc47c5157096ed7" | |
["after "]=> | |
string(256) "827f23db4f947b7ee89f028505c41e191df901e32f4de8d77a23c7c1ad18e177994740f328797c5075794ee76eb6149b8df8080a82210f3c0dfcb560e707b384b50e7a8d18c8826e703c9a51470822516ab0610fd8edfce05ec30996e73ac2796337f8592907d1a2fd22b9b6512134d3adc242372b1530f8c216a0705ea14a0b" | |
} |
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