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3
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package Crypt::DH; |
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4
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1
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1
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16
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use strict; |
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1
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14
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5
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6
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1
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1
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36
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use Math::BigInt lib => "GMP,Pari"; |
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1
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10
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1
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33
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7
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our $VERSION = '0.06'; |
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8
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9
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sub new { |
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10
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0
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0
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1
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my $class = shift; |
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11
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0
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my $dh = bless {}, $class; |
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12
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13
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0
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my %param = @_; |
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0
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for my $w (qw( p g priv_key )) { |
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15
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0
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0
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next unless exists $param{$w}; |
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16
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0
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$dh->$w(delete $param{$w}); |
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17
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} |
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18
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0
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0
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die "Unknown parameters to constructor: " . join(", ", keys %param) if %param; |
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20
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0
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$dh; |
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21
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} |
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23
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BEGIN { |
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1
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1
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21
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no strict 'refs'; |
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1
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9
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1
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16
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25
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1
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1
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43
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for my $meth (qw( p g pub_key priv_key )) { |
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26
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*$meth = sub { |
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27
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0
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0
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my $key = shift; |
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28
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0
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0
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if (@_) { |
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29
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0
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$key->{$meth} = _any2bigint(shift); |
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30
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} |
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31
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0
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0
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my $ret = $key->{$meth} || ""; |
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32
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0
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$ret; |
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33
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4
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70
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}; |
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34
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} |
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35
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} |
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36
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37
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sub _any2bigint { |
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38
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0
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0
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my($value) = @_; |
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39
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0
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0
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0
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if (ref $value eq 'Math::BigInt') { |
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0
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0
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0
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40
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0
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return $value; |
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41
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} |
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42
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elsif (ref $value eq 'Math::Pari') { |
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43
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0
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return Math::BigInt->new(Math::Pari::pari2pv($value)); |
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44
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} |
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45
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elsif (defined $value && !(ref $value)) { |
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46
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0
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return Math::BigInt->new($value); |
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47
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} |
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48
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elsif (defined $value) { |
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49
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0
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die "Unknown parameter type: $value\n"; |
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50
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} |
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51
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} |
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52
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53
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sub generate_keys { |
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54
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0
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0
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1
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my $dh = shift; |
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55
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56
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0
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0
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unless (defined $dh->{priv_key}) { |
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57
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0
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my $i = _bitsize($dh->{p}) - 1; |
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58
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0
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0
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$dh->{priv_key} = |
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59
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$Crypt::Random::VERSION ? |
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60
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Crypt::Random::makerandom_itv(Strength => 0, Uniform => 1, |
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61
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Lower => 1, Upper => $dh->{p} - 1) : |
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62
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_makerandom_itv($i, 1, $dh->{p} - 1); |
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63
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} |
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64
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65
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0
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$dh->{pub_key} = $dh->{g}->copy->bmodpow($dh->{priv_key}, $dh->{p}); |
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66
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} |
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67
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68
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sub compute_key { |
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69
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0
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0
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0
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my $dh = shift; |
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70
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0
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my $pub_key = _any2bigint(shift); |
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71
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0
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$pub_key->copy->bmodpow($dh->{priv_key}, $dh->{p}); |
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72
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} |
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73
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*compute_secret = \&compute_key; |
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74
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75
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sub _bitsize { |
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76
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0
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0
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return length($_[0]->as_bin) - 2; |
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77
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} |
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78
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79
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sub _makerandom_itv { |
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80
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0
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0
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my ($size, $min_inc, $max_exc) = @_; |
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81
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82
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0
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while (1) { |
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83
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0
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my $r = _makerandom($size); |
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84
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0
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0
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0
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return $r if $r >= $min_inc && $r < $max_exc; |
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85
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} |
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86
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} |
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87
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88
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sub _makerandom { |
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89
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0
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0
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my $size = shift; |
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90
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91
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0
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0
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my $bytes = int($size / 8) + ($size % 8 ? 1 : 0); |
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92
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93
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0
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my $rand; |
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94
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0
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0
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if (-e "/dev/urandom") { |
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95
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0
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my $fh; |
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96
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0
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0
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open($fh, '/dev/urandom') |
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97
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or die "Couldn't open /dev/urandom"; |
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98
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0
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my $got = sysread $fh, $rand, $bytes; |
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99
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0
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0
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die "Didn't read all bytes from urandom" unless $got == $bytes; |
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100
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0
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close $fh; |
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101
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} else { |
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102
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0
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for (1..$bytes) { |
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103
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0
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$rand .= chr(int(rand(256))); |
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104
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} |
|
105
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} |
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106
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107
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0
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my $bits = unpack("b*", $rand); |
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108
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0
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0
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die unless length($bits) >= $size; |
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109
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110
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0
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Math::BigInt->new('0b' . substr($bits, 0, $size)); |
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111
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} |
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112
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113
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1; |
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114
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__END__ |
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115
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116
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=head1 NAME |
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117
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118
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Crypt::DH - Diffie-Hellman key exchange system |
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119
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120
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=head1 SYNOPSIS |
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121
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122
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use Crypt::DH; |
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123
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my $dh = Crypt::DH->new; |
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124
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$dh->g($g); |
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125
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$dh->p($p); |
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126
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127
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## Generate public and private keys. |
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128
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$dh->generate_keys; |
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129
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130
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$my_pub_key = $dh->pub_key; |
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131
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132
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## Send $my_pub_key to "other" party, and receive "other" |
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133
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## public key in return. |
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134
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135
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## Now compute shared secret from "other" public key. |
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136
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my $shared_secret = $dh->compute_secret( $other_pub_key ); |
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137
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138
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=head1 DESCRIPTION |
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139
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140
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I<Crypt::DH> is a Perl implementation of the Diffie-Hellman key |
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141
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exchange system. Diffie-Hellman is an algorithm by which two |
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142
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parties can agree on a shared secret key, known only to them. |
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143
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The secret is negotiated over an insecure network without the |
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144
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two parties ever passing the actual shared secret, or their |
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145
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private keys, between them. |
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146
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147
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=head1 THE ALGORITHM |
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148
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149
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The algorithm generally works as follows: Party A and Party B |
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150
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choose a property I<p> and a property I<g>; these properties are |
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151
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shared by both parties. Each party then computes a random private |
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152
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key integer I<priv_key>, where the length of I<priv_key> is at |
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153
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most (number of bits in I<p>) - 1. Each party then computes a |
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154
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public key based on I<g>, I<priv_key>, and I<p>; the exact value |
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155
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is |
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156
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157
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g ^ priv_key mod p |
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158
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159
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The parties exchange these public keys. |
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160
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161
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The shared secret key is generated based on the exchanged public |
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162
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key, the private key, and I<p>. If the public key of Party B is |
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163
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denoted I<pub_key_B>, then the shared secret is equal to |
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164
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165
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pub_key_B ^ priv_key mod p |
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166
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167
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The mathematical principles involved insure that both parties will |
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168
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generate the same shared secret key. |
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169
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170
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More information can be found in PKCS #3 (Diffie-Hellman Key |
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171
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Agreement Standard): |
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172
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173
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http://www.rsasecurity.com/rsalabs/pkcs/pkcs-3/ |
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174
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175
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=head1 USAGE |
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176
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177
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I<Crypt::DH> implements the core routines needed to use |
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178
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Diffie-Hellman key exchange. To actually use the algorithm, |
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179
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you'll need to start with values for I<p> and I<g>; I<p> is a |
|
180
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large prime, and I<g> is a base which must be larger than 0 |
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181
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and less than I<p>. |
|
182
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183
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I<Crypt::DH> uses I<Math::BigInt> internally for big-integer |
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184
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calculations. All accessor methods (I<p>, I<g>, I<priv_key>, and |
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185
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I<pub_key>) thus return I<Math::BigInt> objects, as does the |
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186
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I<compute_secret> method. The accessors, however, allow setting with a |
|
187
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scalar decimal string, hex string (^0x), Math::BigInt object, or |
|
188
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Math::Pari object (for backwards compatibility). |
|
189
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190
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=head2 $dh = Crypt::DH->new([ %param ]). |
|
191
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|
192
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Constructs a new I<Crypt::DH> object and returns the object. |
|
193
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I<%param> may include none, some, or all of the keys I<p>, I<g>, and |
|
194
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I<priv_key>. |
|
195
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|
196
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=head2 $dh->p([ $p ]) |
|
197
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|
198
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Given an argument I<$p>, sets the I<p> parameter (large prime) for |
|
199
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|
this I<Crypt::DH> object. |
|
200
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|
201
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Returns the current value of I<p>. (as a Math::BigInt object) |
|
202
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|
203
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=head2 $dh->g([ $g ]) |
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204
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205
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Given an argument I<$g>, sets the I<g> parameter (base) for |
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206
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this I<Crypt::DH> object. |
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207
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208
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Returns the current value of I<g>. |
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209
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210
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=head2 $dh->generate_keys |
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211
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212
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Generates the public and private key portions of the I<Crypt::DH> |
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213
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object, assuming that you've already filled I<p> and I<g> with |
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214
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appropriate values. |
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215
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216
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If you've provided a priv_key, it's used, otherwise a random priv_key |
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217
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is created using either Crypt::Random (if already loaded), or |
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218
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/dev/urandom, or Perl's rand, in that order. |
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219
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220
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=head2 $dh->compute_secret( $public_key ) |
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221
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222
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Given the public key I<$public_key> of Party B (the party with which |
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223
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you're performing key negotiation and exchange), computes the shared |
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224
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secret key, based on that public key, your own private key, and your |
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225
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own large prime value (I<p>). |
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226
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227
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The historical method name "compute_key" is aliased to this for |
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228
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compatibility. |
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229
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230
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=head2 $dh->priv_key([ $priv_key ]) |
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231
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232
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Returns the private key. Given an argument I<$priv_key>, sets the |
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233
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I<priv_key> parameter for this I<Crypt::DH> object. |
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234
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235
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=head2 $dh->pub_key |
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236
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237
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Returns the public key. |
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238
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239
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=head1 AUTHOR & COPYRIGHT |
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240
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241
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Benjamin Trott, ben@rhumba.pair.com |
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242
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243
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Brad Fitzpatrick, brad@danga.com |
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244
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245
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Except where otherwise noted, Crypt::DH is Copyright 2001 |
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246
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Benjamin Trott. All rights reserved. Crypt::DH is free |
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247
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software; you may redistribute it and/or modify it under |
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248
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the same terms as Perl itself. |
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249
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250
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=cut |
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251
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