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| 1 |  |  |  |  |  |  | # -*-cperl-*- | 
| 2 |  |  |  |  |  |  | # | 
| 3 |  |  |  |  |  |  | # Crypt::EC_DSA - Elliptic Curve Digital Signature Algorithm (ECDSA) | 
| 4 |  |  |  |  |  |  | # Copyright (c) Ashish Gulhati | 
| 5 |  |  |  |  |  |  | # | 
| 6 |  |  |  |  |  |  | # $Id: lib/Crypt/EC_DSA.pm v1.009 Tue Oct 16 23:22:27 PDT 2018 $ | 
| 7 |  |  |  |  |  |  |  | 
| 8 |  |  |  |  |  |  | package Crypt::EC_DSA; | 
| 9 |  |  |  |  |  |  |  | 
| 10 | 2 |  |  | 2 |  | 110523 | use warnings; | 
|  | 2 |  |  |  |  | 11 |  | 
|  | 2 |  |  |  |  | 56 |  | 
| 11 | 2 |  |  | 2 |  | 9 | use strict; | 
|  | 2 |  |  |  |  | 3 |  | 
|  | 2 |  |  |  |  | 34 |  | 
| 12 | 2 |  |  | 2 |  | 927 | use Bytes::Random::Secure; | 
|  | 2 |  |  |  |  | 16609 |  | 
|  | 2 |  |  |  |  | 92 |  | 
| 13 | 2 |  |  | 2 |  | 763 | use Math::EllipticCurve::Prime; | 
|  | 2 |  |  |  |  | 99493 |  | 
|  | 2 |  |  |  |  | 69 |  | 
| 14 | 2 |  |  | 2 |  | 850 | use Digest::SHA qw(sha256_hex); | 
|  | 2 |  |  |  |  | 4121 |  | 
|  | 2 |  |  |  |  | 147 |  | 
| 15 | 2 |  |  | 2 |  | 12 | use vars qw( $VERSION $AUTOLOAD ); | 
|  | 2 |  |  |  |  | 5 |  | 
|  | 2 |  |  |  |  | 1524 |  | 
| 16 |  |  |  |  |  |  |  | 
| 17 |  |  |  |  |  |  | our ( $VERSION ) = '$Revision: 1.009 $' =~ /\s+([\d\.]+)/; | 
| 18 |  |  |  |  |  |  |  | 
| 19 |  |  |  |  |  |  | sub new { | 
| 20 | 1 |  |  | 1 | 1 | 69 | my ($class, %arg) = @_; | 
| 21 |  |  |  |  |  |  | bless { debug => $arg{Debug} || 0, | 
| 22 | 1 |  | 50 |  |  | 16 | curve => Math::EllipticCurve::Prime->from_name($arg{Curve} || 'secp256k1') | 
|  |  |  | 50 |  |  |  |  | 
| 23 |  |  |  |  |  |  | }, $class; | 
| 24 |  |  |  |  |  |  | } | 
| 25 |  |  |  |  |  |  |  | 
| 26 |  |  |  |  |  |  | sub keygen { | 
| 27 | 1 |  |  | 1 | 1 | 4189 | my $self = shift; | 
| 28 | 1 |  |  |  |  | 9 | my $n = $self->curve->n; my $nlen = length($n->as_bin)-2; my $d = 0; | 
|  | 1 |  |  |  |  | 9 |  | 
|  | 1 |  |  |  |  | 1004 |  | 
| 29 | 1 |  |  |  |  | 7 | my $random = Bytes::Random::Secure->new( Bits => 128 ); | 
| 30 | 1 |  | 66 |  |  | 103 | $d = Math::BigInt->from_bin($random->string_from('01',$nlen)) until ($d > 1 and $d < $n); | 
| 31 | 1 |  |  |  |  | 3516 | my $Q = $self->curve->g->multiply($d); | 
| 32 | 1 |  |  |  |  | 10443252 | $self->_diag("keygen(): d: $d, Q: x:" . $Q->x . ', y:' . $Q->y . "\n"); | 
| 33 | 1 |  |  |  |  | 28 | return ($Q, $d); | 
| 34 |  |  |  |  |  |  | } | 
| 35 |  |  |  |  |  |  |  | 
| 36 |  |  |  |  |  |  | sub sign { | 
| 37 | 1 |  |  | 1 | 1 | 480 | my ($self, %arg) = @_; | 
| 38 | 1 |  |  |  |  | 6 | my $n = $self->curve->n; my $nlen = length($n->as_bin); | 
|  | 1 |  |  |  |  | 9 |  | 
| 39 | 1 |  |  |  |  | 1046 | my $random = Bytes::Random::Secure->new( Bits => 128 ); | 
| 40 | 1 |  |  |  |  | 92 | my ($k, $r, $s) = (0); | 
| 41 | 1 |  |  |  |  | 4 | until ($s) { | 
| 42 | 1 |  |  |  |  | 3 | until ($r) { | 
| 43 | 1 |  | 66 |  |  | 8 | $k = Math::BigInt->from_bin($random->string_from('01',$nlen-2)) until $k > 1 and $k < $n; | 
| 44 | 1 |  |  |  |  | 4127 | $r = $self->curve->g->multiply($k)->x->bmod($n); | 
| 45 |  |  |  |  |  |  | } | 
| 46 | 1 |  |  |  |  | 12671611 | my $z = Math::BigInt->new(substr(Math::BigInt->from_hex(sha256_hex($arg{Message}))->as_bin,0,$nlen)); | 
| 47 | 1 |  |  |  |  | 3002 | $s = (($z + $arg{Key} * $r) * $k->bmodinv($n))->bmod($n); | 
| 48 |  |  |  |  |  |  | } | 
| 49 | 1 |  |  |  |  | 29521 | $self->_diag("sign(): r: $r, s: $s\n"); | 
| 50 | 1 |  |  |  |  | 25 | return ( bless { s => $s, | 
| 51 |  |  |  |  |  |  | r => $r | 
| 52 |  |  |  |  |  |  | }, 'Crypt::EC_DSA::Signature' ); | 
| 53 |  |  |  |  |  |  | } | 
| 54 |  |  |  |  |  |  |  | 
| 55 |  |  |  |  |  |  | sub verify { | 
| 56 | 2 |  |  | 2 | 1 | 482 | my ($self, %arg) = @_; | 
| 57 | 2 |  |  |  |  | 13 | my $n = $self->curve->n; | 
| 58 | 2 |  |  |  |  | 16 | my ($r, $s) = ($arg{Signature}->r, $arg{Signature}->s); | 
| 59 | 2 |  |  |  |  | 10 | $self->_diag("s: $s\nr: $r\n"); | 
| 60 | 2 | 50 | 33 |  |  | 8 | return unless $r > 0 and $r < $n and $s > 0 and $s < $n; | 
|  |  |  | 33 |  |  |  |  | 
|  |  |  | 33 |  |  |  |  | 
| 61 | 2 |  |  |  |  | 796 | my $z = Math::BigInt->new(substr(Math::BigInt->from_hex(sha256_hex($arg{Message}))->as_bin,0,length($n->as_bin))); | 
| 62 | 2 |  |  |  |  | 7935 | my $w = $s->copy->bmodinv($n); | 
| 63 | 2 |  |  |  |  | 52819 | my $u1 = ($w * $z)->bmod($n); my $u2 = ($w * $r)->bmod($n); | 
|  | 2 |  |  |  |  | 1997 |  | 
| 64 | 2 |  |  |  |  | 1981 | my $x1 = $self->curve->g->multiply($u1)->add($arg{Key}->multiply($u2))->x->bmod($n); | 
| 65 | 2 |  |  |  |  | 46562127 | $self->_diag("verify(): x1: $x1\nr: $r\n"); | 
| 66 | 2 |  |  |  |  | 9 | $x1 == $r; | 
| 67 |  |  |  |  |  |  | } | 
| 68 |  |  |  |  |  |  |  | 
| 69 |  |  |  |  |  |  | sub AUTOLOAD { | 
| 70 | 15 |  |  | 15 |  | 447 | my $self = shift; (my $auto = $AUTOLOAD) =~ s/.*:://; | 
|  | 15 |  |  |  |  | 89 |  | 
| 71 | 15 | 100 |  |  |  | 174 | return if $auto eq 'DESTROY'; | 
| 72 | 14 | 50 |  |  |  | 66 | if ($auto =~ /^(curve|debug)$/x) { | 
| 73 | 14 | 50 |  |  |  | 34 | $self->{$auto} = shift if (defined $_[0]); | 
| 74 | 14 |  |  |  |  | 65 | return $self->{$auto}; | 
| 75 |  |  |  |  |  |  | } | 
| 76 |  |  |  |  |  |  | else { | 
| 77 | 0 |  |  |  |  | 0 | die "Could not AUTOLOAD method $auto."; | 
| 78 |  |  |  |  |  |  | } | 
| 79 |  |  |  |  |  |  | } | 
| 80 |  |  |  |  |  |  |  | 
| 81 |  |  |  |  |  |  | sub _diag { | 
| 82 | 6 |  |  | 6 |  | 559 | my $self = shift; | 
| 83 | 6 | 50 |  |  |  | 45 | print STDERR @_ if $self->debug; | 
| 84 |  |  |  |  |  |  | } | 
| 85 |  |  |  |  |  |  |  | 
| 86 |  |  |  |  |  |  | 1; # End of Crypt::EC_DSA | 
| 87 |  |  |  |  |  |  |  | 
| 88 |  |  |  |  |  |  | package Crypt::EC_DSA::Signature; | 
| 89 |  |  |  |  |  |  |  | 
| 90 | 2 |  |  | 2 |  | 10 | sub r { shift->{r}; } | 
| 91 |  |  |  |  |  |  |  | 
| 92 | 2 |  |  | 2 |  | 5 | sub s { shift->{s}; } | 
| 93 |  |  |  |  |  |  |  | 
| 94 |  |  |  |  |  |  | 1; # End of Crypt::EC_DSA::Signature; | 
| 95 |  |  |  |  |  |  |  | 
| 96 |  |  |  |  |  |  | __END__ |