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package Crypt::RSA::Primitives; use strict; use warnings; ## Crypt::RSA::Primitives -- Cryptography and encoding primitives ## used by Crypt::RSA. ## ## Copyright (c) 2001, Vipul Ved Prakash. All rights reserved. ## This code is free software; you can redistribute it and/or modify ## it under the same terms as Perl itself. use base 'Crypt::RSA::Errorhandler'; use Crypt::RSA::Debug qw(debug); use Math::BigInt try => 'GMP, Pari'; use Carp; sub new { return bless {}, shift; } sub core_encrypt { # procedure: # c = (m ** e) mod n my ($self, %params) = @_; my $key = $params{Key}; $self->error ("Bad key.", \%params, $key) unless $key->check(); my $plaintext = (defined $params{Message}) ? $params{Message} : $params{Plaintext}; $plaintext = Math::BigInt->new("$plaintext") if ref($plaintext) ne 'Math::BigInt'; debug ("pt == $plaintext"); my $e = $key->e; my $n = $key->n; return $self->error ("Numeric representation of plaintext is out of bound.", \$plaintext, $key, \%params) if $plaintext > $n; my $c = $plaintext->bmodpow($e, $n); debug ("ct == $c"); $n = undef; $e = undef; return $c; } sub core_decrypt { # procedure: # p = (c ** d) mod n my ($self, %params) = @_; my $key = $params{Key}; $self->error ("Bad key.") unless $key->check(); my $cyphertext = defined $params{Cyphertext} ? $params{Cyphertext} : $params{Ciphertext}; $cyphertext = Math::BigInt->new("$cyphertext") if ref($cyphertext) ne 'Math::BigInt'; my $n = $key->n; my $d = $key->d; return $self->error ("Decryption error.") if $cyphertext > $n; my $pt; if ($key->p && $key->q) { # Garner's CRT algorithm my $p = $key->p; my $q = $key->q; $key->u ($p->copy->bmodinv($q)) unless defined $key->u; $key->dp($d % ($p-1) ) unless defined $key->dp; $key->dq($d % ($q-1) ) unless defined $key->dq; my $u = $key->u; my $dp = $key->dp; my $dq = $key->dq; my $p2 = ($cyphertext % $p)->bmodpow($dp, $p); my $q2 = ($cyphertext % $q)->bmodpow($dq, $q); $pt = $p2 + ($p * ((($q2 - $p2) * $u) % $q)); } else { $pt = $cyphertext->copy->bmodpow($d, $n); } debug ("ct == $cyphertext"); debug ("pt == $pt"); return $pt; } sub core_sign { my ($self, %params) = @_; $params{Cyphertext} = $params{Message} || $params{Plaintext}; return $self->core_decrypt (%params); } sub core_verify { my ($self, %params) = @_; $params{Plaintext} = $params{Signature}; return $self->core_encrypt (%params); } 1; =head1 NAME Crypt::RSA::Primitives - RSA encryption, decryption, signature and verification primitives. =head1 SYNOPSIS my $prim = new Crypt::RSA::Primitives; my $ctxt = $prim->core_encrypt (Key => $key, Plaintext => $string); my $ptxt = $prim->core_decrypt (Key => $key, Cyphertext => $ctxt); my $sign = $prim->core_sign (Key => $key, Message => $string); my $vrfy = $prim->core_verify (Key => $key, Signature => $sig); =head1 DESCRIPTION This module implements RSA encryption, decryption, signature and verification primitives. These primitives should only be used in the context of an encryption or signing scheme. See Crypt::RSA::ES::OAEP(3), and Crypt::RSA::SS::PSS(3) for the implementation of two such schemes. =head1 ERROR HANDLING See B<ERROR HANDLING> in Crypt::RSA(3) manpage. =head1 AUTHOR Vipul Ved Prakash, E<lt>mail@vipul.netE<gt> =head1 SEE ALSO Crypt::RSA(3), Crypt::RSA::Key(3), Crypt::RSA::ES::OAEP(3), Crypt::RSA::SS::PSS(3) =cut