lib/3rdParty/phpseclib/Crypt/RSA.php

Properties

Description

Pure-PHP PKCS#1 (v2.1) compliant implementation of RSA.

PHP versions 4 and 5 Here's an example of how to encrypt and decrypt text with this library: createKey()); $plaintext = 'terrafrost'; $rsa->loadKey($privatekey); $ciphertext = $rsa->encrypt($plaintext); $rsa->loadKey($publickey); echo $rsa->decrypt($ciphertext); ?> Here's an example of how to create signatures and verify signatures with this library: createKey()); $plaintext = 'terrafrost'; $rsa->loadKey($privatekey); $signature = $rsa->sign($plaintext); $rsa->loadKey($publickey); echo $rsa->verify($plaintext, $signature) ? 'verified' : 'unverified'; ?> LICENSE: Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

Constants

  CRYPT_RSA_ENCRYPTION_OAEP = 1

Use {@link http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding Optimal Asymmetric Encryption Padding} (OAEP) for encryption / decryption.
Uses sha1 by default.

  CRYPT_RSA_ENCRYPTION_PKCS1 = 2

Use PKCS#1 padding.
Although CRYPT_RSA_ENCRYPTION_OAEP offers more security, including PKCS#1 padding is necessary for purposes of backwards compatability with protocols (like SSH-1) written before OAEP's introduction.

  CRYPT_RSA_SIGNATURE_PSS = 1

Use the Probabilistic Signature Scheme for signing
Uses sha1 by default.

  CRYPT_RSA_SIGNATURE_PKCS1 = 2

Use the PKCS#1 scheme by default.
Although CRYPT_RSA_SIGNATURE_PSS offers more security, including PKCS#1 signing is necessary for purposes of backwards compatability with protocols (like SSH-2) written before PSS's introduction.

  CRYPT_RSA_ASN1_INTEGER = 2

ASN1 Integer


  CRYPT_RSA_ASN1_SEQUENCE = 48

ASN1 Sequence (with the constucted bit set)


  CRYPT_RSA_MODE_INTERNAL = 1

To use the pure-PHP implementation


  CRYPT_RSA_MODE_OPENSSL = 2

To use the OpenSSL library
(if enabled; otherwise, the internal implementation will be used)

  CRYPT_RSA_PRIVATE_FORMAT_PKCS1 = 0

PKCS#1 formatted private key
Used by OpenSSH

  CRYPT_RSA_PRIVATE_FORMAT_PUTTY = 1

PuTTY formatted private key


  CRYPT_RSA_PRIVATE_FORMAT_XML = 2

XML formatted private key


  CRYPT_RSA_PUBLIC_FORMAT_RAW = 3

Raw public key
An array containing two Math_BigInteger objects. The exponent can be indexed with any of the following: 0, e, exponent, publicExponent The modulus can be indexed with any of the following: 1, n, modulo, modulus

  CRYPT_RSA_PUBLIC_FORMAT_PKCS1 = 4

PKCS#1 formatted public key


  CRYPT_RSA_PUBLIC_FORMAT_XML = 5

XML formatted public key


  CRYPT_RSA_PUBLIC_FORMAT_OPENSSH = 6

OpenSSH formatted public key
Place in $HOME/.ssh/authorized_keys

  CRYPT_RSA_MODE = CRYPT_RSA_MODE_INTERNAL




  CRYPT_RSA_EXPONENT = '65537'




  CRYPT_RSA_COMMENT = 'phpseclib-generated-key'




  CRYPT_RSA_SMALLEST_PRIME = 4096




Classes

Crypt_RSA

Properties

 
 
public  
0.1.0  
No 
No 

Description

Pure-PHP PKCS#1 compliant implementation of RSA.

Methods

Crypt_RSA, _blind, _convertPrivateKey, _convertPublicKey, _data_handler, _decodeLength, _emsa_pkcs1_v1_5_encode, _emsa_pss_encode, _emsa_pss_verify, _encodeLength, _exponentiate, _generateMinMax, _i2osp, _mgf1, _os2ip, _parseKey, _random, _rsadp, _rsaep, _rsaes_oaep_decrypt, _rsaes_oaep_encrypt, _rsaes_pkcs1_v1_5_decrypt, _rsaes_pkcs1_v1_5_encrypt, _rsasp1, _rsassa_pkcs1_v1_5_sign, _rsassa_pkcs1_v1_5_verify, _rsassa_pss_sign, _rsassa_pss_verify, _rsavp1, _start_element_handler, _stop_element_handler, _string_shift, createKey, decrypt, encrypt, getPublicKey, loadKey, setEncryptionMode, setHash, setMGFHash, setPassword, setPrivateKeyFormat, setPublicKey, setPublicKeyFormat, setSaltLength, setSignatureMode, sign, verify,

Crypt_RSA( ) : \Crypt_RSA

Description

The constructor
If you want to make use of the openssl extension, you'll need to set the mode manually, yourself. The reason Crypt_RSA doesn't do it is because OpenSSL doesn't fail gracefully. openssl_pkey_new(), in particular, requires openssl.cnf be present somewhere and, unfortunately, the only real way to find out is too late.

Return value

Type Description
\Crypt_RSA

Tags

Name Description
access public

_blind( \Math_BigInteger   $x, \Math_BigInteger   $r, Integer   $i, ) : \Math_BigInteger

Description

Performs RSA Blinding
Protects against timing attacks by employing RSA Blinding. Returns $x->modPow($this->exponents[$i], $this->primes[$i])

Arguments

Name Type Description Default
$x \Math_BigInteger
$r \Math_BigInteger
$i Integer

Return value

Type Description
\Math_BigInteger

Tags

Name Description
access private

_convertPrivateKey(   $n,   $e,   $d,   $primes,   $exponents,   $coefficients, ) : String

Description

Convert a private key to the appropriate format.

Arguments

Name Type Description Default
$n n/a
$e n/a
$d n/a
$primes n/a
$exponents n/a
$coefficients n/a

Return value

Type Description
String

Tags

Name Description
access private
see

_convertPublicKey(   $n,   $e, ) : String

Description

Convert a public key to the appropriate format

Arguments

Name Type Description Default
$n n/a
$e n/a

Return value

Type Description
String

Tags

Name Description
access private
see

_data_handler( Resource   $parser, String   $data, ) : n/a

Description

Data Handler
Called by xml_set_character_data_handler()

Arguments

Name Type Description Default
$parser Resource
$data String

Return value

Type Description
n/a n/a

Tags

Name Description
access private

_decodeLength(   $string, ) : n/a

Arguments

Name Type Description Default
$string n/a

Return value

Type Description
n/a n/a

_emsa_pkcs1_v1_5_encode( String   $m, Integer   $emLen, ) : String

Description

EMSA-PKCS1-V1_5-ENCODE
See {@link http://tools.ietf.org/html/rfc3447#section-9.2 RFC3447#section-9.2}.

Arguments

Name Type Description Default
$m String
$emLen Integer

Return value

Type Description
String

Tags

Name Description
access private

_emsa_pss_encode( String   $m, Integer   $emBits, ) : n/a

Description

EMSA-PSS-ENCODE
See {@link http://tools.ietf.org/html/rfc3447#section-9.1.1 RFC3447#section-9.1.1}.

Arguments

Name Type Description Default
$m String
$emBits Integer

Return value

Type Description
n/a n/a

Tags

Name Description
access private

_emsa_pss_verify( String   $m, String   $em, Integer   $emBits, ) : String

Description

EMSA-PSS-VERIFY
See {@link http://tools.ietf.org/html/rfc3447#section-9.1.2 RFC3447#section-9.1.2}.

Arguments

Name Type Description Default
$m String
$em String
$emBits Integer

Return value

Type Description
String

Tags

Name Description
access private

_encodeLength(   $length, ) : n/a

Arguments

Name Type Description Default
$length n/a

Return value

Type Description
n/a n/a

_exponentiate( \Math_BigInteger   $x, ) : \Math_BigInteger

Description

Exponentiate with or without Chinese Remainder Theorem
See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.2}.

Arguments

Name Type Description Default
$x \Math_BigInteger

Return value

Type Description
\Math_BigInteger

Tags

Name Description
access private

_generateMinMax( Integer   $bits, ) : Array

Description

Generates the smallest and largest numbers requiring $bits bits

Arguments

Name Type Description Default
$bits Integer

Return value

Type Description
Array

Tags

Name Description
access private

_i2osp( \Math_BigInteger   $x, Integer   $xLen, ) : String

Description

Integer-to-Octet-String primitive
See {@link http://tools.ietf.org/html/rfc3447#section-4.1 RFC3447#section-4.1}.

Arguments

Name Type Description Default
$x \Math_BigInteger
$xLen Integer

Return value

Type Description
String

Tags

Name Description
access private

_mgf1( String   $mgfSeed,   $maskLen, ) : String

Description

MGF1
See {@link http://tools.ietf.org/html/rfc3447#appendix-B.2.1 RFC3447#appendix-B.2.1}.

Arguments

Name Type Description Default
$mgfSeed String
$maskLen n/a

Return value

Type Description
String

Tags

Name Description
access private

_os2ip( String   $x, ) : \Math_BigInteger

Description

Octet-String-to-Integer primitive
See {@link http://tools.ietf.org/html/rfc3447#section-4.2 RFC3447#section-4.2}.

Arguments

Name Type Description Default
$x String

Return value

Type Description
\Math_BigInteger

Tags

Name Description
access private

_parseKey( String   $key, Integer   $type, ) : Array

Description

Break a public or private key down into its constituant components

Arguments

Name Type Description Default
$key String
$type Integer

Return value

Type Description
Array

Tags

Name Description
access private
see
see

_random( Integer   $bytes,   $nonzero = false, ) : String

Description

Generates a random string x bytes long

Arguments

Name Type Description Default
$bytes Integer
$nonzero n/a false

Return value

Type Description
String

Tags

Name Description
access public

_rsadp( \Math_BigInteger   $c, ) : \Math_BigInteger

Description

RSADP
See {@link http://tools.ietf.org/html/rfc3447#section-5.1.2 RFC3447#section-5.1.2}.

Arguments

Name Type Description Default
$c \Math_BigInteger

Return value

Type Description
\Math_BigInteger

Tags

Name Description
access private

_rsaep( \Math_BigInteger   $m, ) : \Math_BigInteger

Description

RSAEP
See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.1}.

Arguments

Name Type Description Default
$m \Math_BigInteger

Return value

Type Description
\Math_BigInteger

Tags

Name Description
access private

_rsaes_oaep_decrypt( String   $c, String   $l = '', ) : String

Description

RSAES-OAEP-DECRYPT
See {@link http://tools.ietf.org/html/rfc3447#section-7.1.2 RFC3447#section-7.1.2}. The fact that the error messages aren't distinguishable from one another hinders debugging, but, to quote from RFC3447#section-7.1.2: Note. Care must be taken to ensure that an opponent cannot distinguish the different error conditions in Step 3.g, whether by error message or timing, or, more generally, learn partial information about the encoded message EM. Otherwise an opponent may be able to obtain useful information about the decryption of the ciphertext C, leading to a chosen-ciphertext attack such as the one observed by Manger [36]. As for $l... to quote from {@link http://tools.ietf.org/html/rfc3447#page-17 RFC3447#page-17}: Both the encryption and the decryption operations of RSAES-OAEP take the value of a label L as input. In this version of PKCS #1, L is the empty string; other uses of the label are outside the scope of this document.

Arguments

Name Type Description Default
$c String
$l String ''

Return value

Type Description
String

Tags

Name Description
access private

_rsaes_oaep_encrypt( String   $m, String   $l = '', ) : String

Description

RSAES-OAEP-ENCRYPT
See {@link http://tools.ietf.org/html/rfc3447#section-7.1.1 RFC3447#section-7.1.1} and {http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding OAES}.

Arguments

Name Type Description Default
$m String
$l String ''

Return value

Type Description
String

Tags

Name Description
access private

_rsaes_pkcs1_v1_5_decrypt( String   $c, ) : String

Description

RSAES-PKCS1-V1_5-DECRYPT
See {@link http://tools.ietf.org/html/rfc3447#section-7.2.2 RFC3447#section-7.2.2}. For compatability purposes, this function departs slightly from the description given in RFC3447. The reason being that RFC2313#section-8.1 (PKCS#1 v1.5) states that ciphertext's encrypted by the private key should have the second byte set to either 0 or 1 and that ciphertext's encrypted by the public key should have the second byte set to 2. In RFC3447 (PKCS#1 v2.1), the second byte is supposed to be 2 regardless of which key is used. for compatability purposes, we'll just check to make sure the second byte is 2 or less. If it is, we'll accept the decrypted string as valid. As a consequence of this, a private key encrypted ciphertext produced with Crypt_RSA may not decrypt with a strictly PKCS#1 v1.5 compliant RSA implementation. Public key encrypted ciphertext's should but not private key encrypted ciphertext's.

Arguments

Name Type Description Default
$c String

Return value

Type Description
String

Tags

Name Description
access private

_rsaes_pkcs1_v1_5_encrypt( String   $m, ) : String

Description

RSAES-PKCS1-V1_5-ENCRYPT
See {@link http://tools.ietf.org/html/rfc3447#section-7.2.1 RFC3447#section-7.2.1}.

Arguments

Name Type Description Default
$m String

Return value

Type Description
String

Tags

Name Description
access private

_rsasp1( \Math_BigInteger   $m, ) : \Math_BigInteger

Description

RSASP1
See {@link http://tools.ietf.org/html/rfc3447#section-5.2.1 RFC3447#section-5.2.1}.

Arguments

Name Type Description Default
$m \Math_BigInteger

Return value

Type Description
\Math_BigInteger

Tags

Name Description
access private

_rsassa_pkcs1_v1_5_sign( String   $m, ) : String

Description

RSASSA-PKCS1-V1_5-SIGN
See {@link http://tools.ietf.org/html/rfc3447#section-8.2.1 RFC3447#section-8.2.1}.

Arguments

Name Type Description Default
$m String

Return value

Type Description
String

Tags

Name Description
access private

_rsassa_pkcs1_v1_5_verify( String   $m,   $s, ) : String

Description

RSASSA-PKCS1-V1_5-VERIFY
See {@link http://tools.ietf.org/html/rfc3447#section-8.2.2 RFC3447#section-8.2.2}.

Arguments

Name Type Description Default
$m String
$s n/a

Return value

Type Description
String

Tags

Name Description
access private

_rsassa_pss_sign( String   $m, ) : String

Description

RSASSA-PSS-SIGN
See {@link http://tools.ietf.org/html/rfc3447#section-8.1.1 RFC3447#section-8.1.1}.

Arguments

Name Type Description Default
$m String

Return value

Type Description
String

Tags

Name Description
access private

_rsassa_pss_verify( String   $m, String   $s, ) : String

Description

RSASSA-PSS-VERIFY
See {@link http://tools.ietf.org/html/rfc3447#section-8.1.2 RFC3447#section-8.1.2}.

Arguments

Name Type Description Default
$m String
$s String

Return value

Type Description
String

Tags

Name Description
access private

_rsavp1( \Math_BigInteger   $s, ) : \Math_BigInteger

Description

RSAVP1
See {@link http://tools.ietf.org/html/rfc3447#section-5.2.2 RFC3447#section-5.2.2}.

Arguments

Name Type Description Default
$s \Math_BigInteger

Return value

Type Description
\Math_BigInteger

Tags

Name Description
access private

_start_element_handler( Resource   $parser, String   $name, Array   $attribs, ) : n/a

Description

Start Element Handler
Called by xml_set_element_handler()

Arguments

Name Type Description Default
$parser Resource
$name String
$attribs Array

Return value

Type Description
n/a n/a

Tags

Name Description
access private

_stop_element_handler( Resource   $parser, String   $name, ) : n/a

Description

Stop Element Handler
Called by xml_set_element_handler()

Arguments

Name Type Description Default
$parser Resource
$name String

Return value

Type Description
n/a n/a

Tags

Name Description
access private

_string_shift( String   $string,   $index = 1, ) : String

Description

String Shift
Inspired by array_shift

Arguments

Name Type Description Default
$string String
$index n/a 1

Return value

Type Description
String

Tags

Name Description
access private

createKey(   $bits = 1024,   $timeout = false,   $partial = array(), ) : n/a

Description

Create public / private key pair
Returns an array with the following three elements: - 'privatekey': The private key. - 'publickey': The public key. - 'partialkey': A partially computed key (if the execution time exceeded $timeout). Will need to be passed back to Crypt_RSA::createKey() as the third parameter for further processing.

Arguments

Name Type Description Default
$bits n/a 1024
$timeout n/a false
$partial n/a array()

Return value

Type Description
n/a n/a

Tags

Name Description
access public

decrypt(   $ciphertext, ) : String

Description

Decryption

Arguments

Name Type Description Default
$ciphertext n/a

Return value

Type Description
String

Tags

Name Description
see
access public

encrypt( String   $plaintext, ) : String

Description

Encryption
Both CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_ENCRYPTION_PKCS1 both place limits on how long $plaintext can be. If $plaintext exceeds those limits it will be broken up so that it does and the resultant ciphertext's will be concatenated together.

Arguments

Name Type Description Default
$plaintext String

Return value

Type Description
String

Tags

Name Description
see
access public

getPublicKey( Integer   $type = CRYPT_RSA_PUBLIC_FORMAT_PKCS1, ) : n/a

Description

Returns the public key
The public key is only returned under two circumstances - if the private key had the public key embedded within it or if the public key was set via setPublicKey(). If the currently loaded key is supposed to be the public key this function won't return it since this library, for the most part, doesn't distinguish between public and private keys.

Arguments

Name Type Description Default
$type Integer

optional

CRYPT_RSA_PUBLIC_FORMAT_PKCS1

Return value

Type Description
n/a n/a

Tags

Name Description
see
access public

loadKey( String   $key, Integer   $type = false, ) : n/a

Description

Loads a public or private key
Returns true on success and false on failure (ie. an incorrect password was provided or the key was malformed)

Arguments

Name Type Description Default
$key String
$type Integer

optional

false

Return value

Type Description
n/a n/a

Tags

Name Description
access public

setEncryptionMode( Integer   $mode, ) : n/a

Description

Set Encryption Mode
Valid values include CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_ENCRYPTION_PKCS1.

Arguments

Name Type Description Default
$mode Integer

Return value

Type Description
n/a n/a

Tags

Name Description
access public

setHash( String   $hash, ) : n/a

Description

Determines which hashing function should be used
Used with signature production / verification and (if the encryption mode is CRYPT_RSA_ENCRYPTION_OAEP) encryption and decryption. If $hash isn't supported, sha1 is used.

Arguments

Name Type Description Default
$hash String

Return value

Type Description
n/a n/a

Tags

Name Description
access public

setMGFHash( String   $hash, ) : n/a

Description

Determines which hashing function should be used for the mask generation function
The mask generation function is used by CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_SIGNATURE_PSS and although it's best if Hash and MGFHash are set to the same thing this is not a requirement.

Arguments

Name Type Description Default
$hash String

Return value

Type Description
n/a n/a

Tags

Name Description
access public

setPassword( String   $password, ) : n/a

Description

Sets the password
Private keys can be encrypted with a password. To unset the password, pass in the empty string or false. Or rather, pass in $password such that empty($password) is true.

Arguments

Name Type Description Default
$password String

Return value

Type Description
n/a n/a

Tags

Name Description
see
see
access public

setPrivateKeyFormat( Integer   $format, ) : n/a

Description

Determines the private key format

Arguments

Name Type Description Default
$format Integer

Return value

Type Description
n/a n/a

Tags

Name Description
see
access public

setPublicKey( String   $key, Integer   $type = CRYPT_RSA_PUBLIC_FORMAT_PKCS1, ) : Boolean

Description

Defines the public key
Some private key formats define the public exponent and some don't. Those that don't define it are problematic when used in certain contexts. For example, in SSH-2, RSA authentication works by sending the public key along with a message signed by the private key to the server. The SSH-2 server looks the public key up in an index of public keys and if it's present then proceeds to verify the signature. Problem is, if your private key doesn't include the public exponent this won't work unless you manually add the public exponent. Do note that when a new key is loaded the index will be cleared. Returns true on success, false on failure

Arguments

Name Type Description Default
$key String
$type Integer

optional

CRYPT_RSA_PUBLIC_FORMAT_PKCS1

Return value

Type Description
Boolean

Tags

Name Description
see
access public

setPublicKeyFormat( Integer   $format, ) : n/a

Description

Determines the public key format

Arguments

Name Type Description Default
$format Integer

Return value

Type Description
n/a n/a

Tags

Name Description
see
access public

setSaltLength(   $sLen, ) : n/a

Description

Determines the salt length
To quote from {@link http://tools.ietf.org/html/rfc3447#page-38 RFC3447#page-38}: Typical salt lengths in octets are hLen (the length of the output of the hash function Hash) and 0.

Arguments

Name Type Description Default
$sLen n/a

Return value

Type Description
n/a n/a

Tags

Name Description
access public

setSignatureMode( Integer   $mode, ) : n/a

Description

Set Signature Mode
Valid values include CRYPT_RSA_SIGNATURE_PSS and CRYPT_RSA_SIGNATURE_PKCS1

Arguments

Name Type Description Default
$mode Integer

Return value

Type Description
n/a n/a

Tags

Name Description
access public

sign( String   $message, ) : String

Description

Create a signature

Arguments

Name Type Description Default
$message String

Return value

Type Description
String

Tags

Name Description
see
access public

verify( String   $message, String   $signature, ) : Boolean

Description

Verifies a signature

Arguments

Name Type Description Default
$message String
$signature String

Return value

Type Description
Boolean

Tags

Name Description
see
access public

Properties

$coefficients, $components, $current, $encryptionMode, $exponent, $exponents, $hLen, $hash, $hashName, $k, $mgfHLen, $mgfHash, $modulus, $one, $password, $primes, $privateKeyFormat, $publicExponent, $publicKeyFormat, $sLen, $signatureMode, $zero,

Array  public  $coefficients =

Coefficients for Chinese Remainder Theorem (ie. qInv)


Array  public  $components = array()

Components
For use with parsing XML formatted keys. PHP's XML Parser functions use utilized - instead of PHP's DOM functions - because PHP's XML Parser functions work on PHP4 whereas PHP's DOM functions - although surperior - don't.

Mixed  public  $current =

Current String
For use with parsing XML formatted keys.

Integer  public  $encryptionMode = CRYPT_RSA_ENCRYPTION_OAEP

Encryption mode


\Math_BigInteger  public  $exponent =

Exponent (ie. e or d)


Array  public  $exponents =

Exponents for Chinese Remainder Theorem (ie. dP and dQ)


Integer  public  $hLen =

Length of hash function output


\Crypt_Hash  public  $hash =

Hash function


String  public  $hashName =

Hash name


\Math_BigInteger  public  $k =

Modulus length


Integer  public  $mgfHLen =

Length of MGF hash function output


\Crypt_Hash  public  $mgfHash =

Hash function for the Mask Generation Function


\Math_BigInteger  public  $modulus =

Modulus (ie. n)


Array  public  $one =

Precomputed One


String  public  $password = ''

Password


Array  public  $primes =

Primes for Chinese Remainder Theorem (ie. p and q)


Integer  public  $privateKeyFormat = CRYPT_RSA_PRIVATE_FORMAT_PKCS1

Private Key Format


Mixed  public  $publicExponent = false

Public Exponent


Integer  public  $publicKeyFormat = CRYPT_RSA_PUBLIC_FORMAT_PKCS1

Public Key Format


Integer  public  $sLen =

Length of salt


Integer  public  $signatureMode = CRYPT_RSA_SIGNATURE_PSS

Signature mode


Array  public  $zero =

Precomputed Zero


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