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# $Id: DSA.pm 1938 2006-05-03 06:20:36Z btrott $ package Crypt::DSA; use strict; use Digest::SHA1 qw( sha1 ); use Carp qw( croak ); use Crypt::DSA::KeyChain; use Crypt::DSA::Key; use Crypt::DSA::Signature; use Crypt::DSA::Util qw( bitsize bin2mp mod_inverse mod_exp makerandom ); use vars qw( $VERSION ); $VERSION = '0.14'; sub new { my $class = shift; my $dsa = bless { @_ }, $class; $dsa->{_keychain} = Crypt::DSA::KeyChain->new(@_); $dsa; } sub keygen { my $dsa = shift; my $key = $dsa->{_keychain}->generate_params(@_); $dsa->{_keychain}->generate_keys($key); $key; } sub sign { my $dsa = shift; my %param = @_; my($key, $dgst); croak __PACKAGE__, "->sign: Need a Key" unless $key = $param{Key}; unless ($dgst = $param{Digest}) { croak __PACKAGE__, "->sign: Need either Message or Digest" unless $param{Message}; $dgst = sha1($param{Message}); } my $dlen = length $dgst; my $i = bitsize($key->q) / 8; croak "Data too large for key size" if $dlen > $i || $dlen > 50; $dsa->_sign_setup($key) unless $key->kinv && $key->r; my $m = bin2mp($dgst); my $xr = ($key->priv_key * $key->r) % $key->q; my $s = $xr + $m; $s -= $key->q if $s > $key->q; $s = ($s * $key->kinv) % $key->q; my $sig = Crypt::DSA::Signature->new; $sig->r($key->r); $sig->s($s); $sig; } sub _sign_setup { my $dsa = shift; my $key = shift; my($k, $r); { $k = makerandom(Size => bitsize($key->q)); $k -= $key->q if $k >= $key->q; redo if $k == 0; } $r = mod_exp($key->g, $k, $key->p); $r %= $key->q; my $kinv = mod_inverse($k, $key->q); $key->r($r); $key->kinv($kinv); } sub verify { my $dsa = shift; my %param = @_; my($key, $dgst, $sig); croak __PACKAGE__, "->verify: Need a Key" unless $key = $param{Key}; unless ($dgst = $param{Digest}) { croak __PACKAGE__, "->verify: Need either Message or Digest" unless $param{Message}; $dgst = sha1($param{Message}); } croak __PACKAGE__, "->verify: Need a Signature" unless $sig = $param{Signature}; my $u2 = mod_inverse($sig->s, $key->q); my $u1 = bin2mp($dgst); $u1 = ($u1 * $u2) % $key->q; $u2 = ($sig->r * $u2) % $key->q; my $t1 = mod_exp($key->g, $u1, $key->p); my $t2 = mod_exp($key->pub_key, $u2, $key->p); $u1 = ($t1 * $t2) % $key->p; $u1 %= $key->q; $u1 == $sig->r; } 1; __END__ =head1 NAME Crypt::DSA - DSA Signatures and Key Generation =head1 SYNOPSIS use Crypt::DSA; my $dsa = Crypt::DSA->new; my $key = $dsa->keygen( Size => 512, Seed => $seed, Verbosity => 1 ); my $sig = $dsa->sign( Message => "foo bar", Key => $key ); my $verified = $dsa->verify( Message => "foo bar", Signature => $sig, Key => $key, ); =head1 DESCRIPTION I<Crypt::DSA> is an implementation of the DSA (Digital Signature Algorithm) signature verification system. The implementation itself is pure Perl, although the heavy-duty mathematics underneath are provided by the I<Math::Pari> library. This package provides DSA signing, signature verification, and key generation. =head1 USAGE The I<Crypt::DSA> public interface is similar to that of I<Crypt::RSA>. This was done intentionally. =head2 Crypt::DSA->new Constructs a new I<Crypt::DSA> object. At the moment this isn't particularly useful in itself, other than being the object you need to do much else in the system. Returns the new object. =head2 $key = $dsa->keygen(%arg) Generates a new set of DSA keys, including both the public and private portions of the key. I<%arg> can contain: =over 4 =item * Size The size in bits of the I<p> value to generate. The I<q> and I<g> values are always 160 bits each. This argument is mandatory. =item * Seed A seed with which I<q> generation will begin. If this seed does not lead to a suitable prime, it will be discarded, and a new random seed chosen in its place, until a suitable prime can be found. This is entirely optional, and if not provided a random seed will be generated automatically. =item * Verbosity Should be either 0 or 1. A value of 1 will give you a progress meter during I<p> and I<q> generation--this can be useful, since the process can be relatively long. The default is 0. =back =head2 $signature = $dsa->sign(%arg) Signs a message (or the digest of a message) using the private portion of the DSA key and returns the signature. The return value--the signature--is a I<Crypt::DSA::Signature> object. I<%arg> can include: =over 4 =item * Digest A digest to be signed. The digest should be 20 bytes in length or less. You must provide either this argument or I<Message> (see below). =item * Key The I<Crypt::DSA::Key> object with which the signature will be generated. Should contain a private key attribute (I<priv_key>). This argument is required. =item * Message A plaintext message to be signed. If you provide this argument, I<sign> will first produce a SHA1 digest of the plaintext, then use that as the digest to sign. Thus writing my $sign = $dsa->sign(Message => $message, ... ); is a shorter way of writing use Digest::SHA1 qw( sha1 ); my $sig = $dsa->sign(Digest => sha1( $message ), ... ); =back =head2 $verified = $dsa->verify(%arg) Verifies a signature generated with I<sign>. Returns a true value on success and false on failure. I<%arg> can contain: =over 4 =item * Key Key of the signer of the message; a I<Crypt::DSA::Key> object. The public portion of the key is used to verify the signature. This argument is required. =item * Signature The signature itself. Should be in the same format as returned from I<sign>, a I<Crypt::DSA::Signature> object. This argument is required. =item * Digest The original signed digest whose length is less than or equal to 20 bytes. Either this argument or I<Message> (see below) must be present. =item * Message As above in I<sign>, the plaintext message that was signed, a string of arbitrary length. A SHA1 digest of this message will be created and used in the verification process. =back =head1 AUTHOR Benjamin Trott, ben@sixapart.com =head1 COPYRIGHT Except where otherwise noted, Crypt::DSA is Copyright 2006 Benjamin Trott. All rights reserved. Crypt::DSA is free software; you may redistribute it and/or modify it under the same terms as Perl itself. =cut