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package Crypt::RSA::Key; |
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125700
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use strict; |
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use warnings; |
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## Crypt::RSA::Keys |
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## |
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## Copyright (c) 2001, Vipul Ved Prakash. All rights reserved. |
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## This code is free software; you can redistribute it and/or modify |
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## it under the same terms as Perl itself. |
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use base 'Class::Loader'; |
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4316
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77064
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use base 'Crypt::RSA::Errorhandler'; |
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2849
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8701
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use Math::Prime::Util qw(random_nbit_prime miller_rabin_random is_frobenius_khashin_pseudoprime); |
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95496
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4491
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use Crypt::RSA::DataFormat qw(bitsize); |
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use Math::BigInt try => 'GMP, Pari'; |
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use Crypt::RSA::Key::Private; |
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4253
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use Crypt::RSA::Key::Public; |
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256
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use Carp; |
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7775
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$Crypt::RSA::Key::VERSION = '1.99'; |
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22
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my %MODMAP = ( |
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Native_PKF => { Module => "Crypt::RSA::Key::Public" }, |
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Native_SKF => { Module => "Crypt::RSA::Key::Private" }, |
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SSH_PKF => { Module => "Crypt::RSA::Key::Public::SSH" }, |
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SSH_SKF => { Module => "Crypt::RSA::Key::Private::SSH" }, |
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); |
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29
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30
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sub new { |
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1
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2133
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my $class = shift; |
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my $self = {}; |
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bless $self, $class; |
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185
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$self->_storemap ( %MODMAP ); |
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267
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return $self; |
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} |
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38
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39
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sub generate { |
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41
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15
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15
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1
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162
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my ($self, %params) = @_; |
42
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43
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15
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38
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my $key; |
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50
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66
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89
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unless ($params{q} && $params{p} && $params{e}) { |
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45
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46
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70
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return $self->error ("Missing argument.") unless $params{Size}; |
47
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48
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return $self->error ("Keysize too small.") if |
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71
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$params{Size} < 48; |
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51
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return $self->error ("Odd keysize.") if |
52
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57
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$params{Size} % 2; |
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54
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14
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70
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my $size = int($params{Size}/2); |
55
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14
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100
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94
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my $verbosity = $params{Verbosity} || 0; |
56
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57
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# Switch from Maurer prime to nbit prime, then add some more primality |
58
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# testing. This is faster and gives us a wider set of possible primes. |
59
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60
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# We really ought to consider the distribution. See: |
61
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# https://crocs.fi.muni.cz/_media/public/papers/usenixsec16_1mrsakeys_trfimu_201603.pdf |
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# for comments on p/q selection. |
63
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64
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14
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33
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while (1) { |
65
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29
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2342
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my $p = random_nbit_prime($size); |
66
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29
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475093182
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my $q = random_nbit_prime($size); |
67
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29
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100
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680530527
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$p = Math::BigInt->new("$p") unless ref($p) eq 'Math::BigInt'; |
68
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29
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100
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663
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$q = Math::BigInt->new("$q") unless ref($q) eq 'Math::BigInt'; |
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70
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# For unbiased rejection sampling, generate both p/q if size too small. |
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29
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100
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482
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next unless bitsize($p * $q) == $params{Size}; |
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73
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# Verify primes aren't too close together. |
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14
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100
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84
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if ($params{Size} >= 256) { |
75
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11
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52
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my $threshold = Math::BigInt->new(2)->bpow($params{Size}/2 - 100); |
76
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11
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5877
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my $diff = $p->copy->bsub($q)->babs; |
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11
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50
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2005
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next if $diff <= $threshold; |
78
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} |
79
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80
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# We could check p-1 and q-1 smoothness. |
81
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82
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# p and q have passed the strong BPSW test, so it would be shocking |
83
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# if they were not prime. We'll add a few more tests because they're |
84
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# cheap and we want to be extra careful, but also don't want to spend |
85
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# the time doing a full primality proof. |
86
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87
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14
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50
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687
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do { carp "$p passes BPSW but fails Frobenius test!"; next; } |
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0
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0
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0
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0
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88
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unless is_frobenius_khashin_pseudoprime($p); |
89
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14
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50
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32104300
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do { carp "$q passes BPSW but fails Frobenius test!"; next; } |
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0
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0
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0
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0
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90
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unless is_frobenius_khashin_pseudoprime($q); |
91
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92
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14
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50
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32210025
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do { carp "$p fails Miller-Rabin testing!"; next; } |
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0
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0
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0
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0
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93
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unless miller_rabin_random($p,3); |
94
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14
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50
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18475282
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do { carp "$q fails Miller-Rabin testing!"; next; } |
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0
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0
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0
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0
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95
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unless miller_rabin_random($q,3); |
96
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97
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14
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19153359
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$key = { p => $p, q => $q, e => Math::BigInt->new(65537) }; |
98
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14
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929
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last; |
99
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} |
100
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} |
101
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102
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15
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100
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89
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if ($params{KF}) { |
103
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4
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20
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$params{PKF} = { Name => "$params{KF}_PKF" }; |
104
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4
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17
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$params{SKF} = { Name => "$params{KF}_SKF" } |
105
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} |
106
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107
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15
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100
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82
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my $pubload = $params{PKF} ? $params{PKF} : { Name => "Native_PKF" }; |
108
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15
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100
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70
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my $priload = $params{SKF} ? $params{SKF} : { Name => "Native_SKF" }; |
109
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110
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15
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50
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209
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my $pubkey = $self->_load (%$pubload) || |
111
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return $self->error ("Couldn't load the public key module: $@"); |
112
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15
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50
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272
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my $prikey = $self->_load ((%$priload), Args => ['Cipher' => $params{Cipher}, 'Password' => $params{Password} ]) || |
113
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return $self->error ("Couldn't load the private key module: $@"); |
114
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15
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315
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$pubkey->Identity ($params{Identity}); |
115
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15
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103
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$prikey->Identity ($params{Identity}); |
116
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117
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15
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66
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82
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$pubkey->e ($$key{e} || $params{e}); |
118
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15
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66
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62
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$prikey->e ($$key{e} || $params{e}); |
119
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15
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66
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61
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$prikey->p ($$key{p} || $params{p}); |
120
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15
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66
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67
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$prikey->q ($$key{q} || $params{q}); |
121
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122
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15
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76
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$prikey->phi ( ($prikey->p - 1) * ($prikey->q - 1) ); |
123
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124
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15
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114
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$prikey->d ( ($pubkey->e)->copy->bmodinv($prikey->phi) ); |
125
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15
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80
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$prikey->n ( $prikey->p * $prikey->q ); |
126
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15
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75
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$pubkey->n ( $prikey->n ); |
127
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128
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15
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77
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$prikey->dp ($prikey->d % ($prikey->p - 1)); |
129
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15
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93
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$prikey->dq ($prikey->d % ($prikey->q - 1)); |
130
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15
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93
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$prikey->u ( ($prikey->p)->copy->bmodinv($prikey->q) ); |
131
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132
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15
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50
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96
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return $self->error ("d is too small. Regenerate.") if |
133
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bitsize($prikey->d) < 0.25 * bitsize($prikey->n); |
134
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135
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15
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60
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$$key{p} = 0; $$key{q} = 0; $$key{e} = 0; |
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15
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39
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15
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42
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136
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137
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15
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50
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76
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if ($params{Filename}) { |
138
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0
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0
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$pubkey->write (Filename => "$params{Filename}.public"); |
139
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0
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0
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$prikey->write (Filename => "$params{Filename}.private"); |
140
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} |
141
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142
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15
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183
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return ($pubkey, $prikey); |
143
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144
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} |
145
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146
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1; |
147
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148
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=head1 NAME |
149
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150
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Crypt::RSA::Key - RSA Key Pair Generator. |
151
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152
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=head1 SYNOPSIS |
153
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154
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my $keychain = new Crypt::RSA::Key; |
155
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my ($public, $private) = $keychain->generate ( |
156
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Identity => 'Lord Macbeth ', |
157
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Size => 2048, |
158
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Password => 'A day so foul & fair', |
159
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Verbosity => 1, |
160
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) or die $keychain->errstr(); |
161
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162
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=head1 DESCRIPTION |
163
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164
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This module provides a method to generate an RSA key pair. |
165
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166
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=head1 METHODS |
167
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168
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=head2 new() |
169
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170
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Constructor. |
171
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172
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=head2 generate() |
173
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174
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generate() generates an RSA key of specified bitsize. It returns a list of |
175
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two elements, a Crypt::RSA::Key::Public object that holds the public part |
176
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of the key pair and a Crypt::RSA::Key::Private object that holds that |
177
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private part. On failure, it returns undef and sets $self->errstr to |
178
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appropriate error string. generate() takes a hash argument with the |
179
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following keys: |
180
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181
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=over 4 |
182
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183
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=item B |
184
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185
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Bitsize of the key to be generated. This should be an even integer > 48. |
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Bitsize is a mandatory argument. |
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=item B |
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190
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String with which the private key will be encrypted. If Password is not |
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provided the key will be stored unencrypted. |
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=item B |
194
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195
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A string that identifies the owner of the key. This string usually takes |
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the form of a name and an email address. The identity is not bound to the |
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key with a signature. However, a future release or another module will |
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provide this facility. |
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200
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=item B |
201
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202
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The block cipher which is used for encrypting the private key. Defaults to |
203
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`Blowfish'. Cipher could be set to any value that works with Crypt::CBC(3) |
204
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and Tie::EncryptedHash(3). |
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206
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=item B |
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208
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When set to 1, generate() will draw a progress display on STDOUT. |
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210
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=item B |
211
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212
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The generated key pair will be written to disk, in $Filename.public and |
213
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$Filename.private files, if this argument is provided. Disk writes can be |
214
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deferred by skipping this argument and achieved later with the write() |
215
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method of Crypt::RSA::Key::Public(3) and Crypt::RSA::Key::Private(3). |
216
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217
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=item B |
218
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219
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A string that specifies the key format. As of this writing, two key |
220
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formats, `Native' and `SSH', are supported. KF defaults to `Native'. |
221
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222
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=item B |
223
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224
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Secret (Private) Key Format. Instead of specifying KF, the user could |
225
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choose to specify secret and public key formats separately. The value for |
226
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SKF can be a string ("Native" or "SSH") or a hash reference that specifies |
227
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a module name, its constructor and constructor arguments. The specified |
228
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module is loaded with Class::Loader(3) and must be interface compatible |
229
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with Crypt::RSA::Key::Private(3). |
230
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231
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=item B |
232
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233
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Public Key Format. This option is like SKF but for the public key. |
234
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235
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=back |
236
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237
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=head1 ERROR HANDLING |
238
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239
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See B in Crypt::RSA(3) manpage. |
240
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241
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=head1 BUGS |
242
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243
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There's an inefficiency in the way generate() ensures the key pair is |
244
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exactly Size bits long. This will be fixed in a future release. |
245
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246
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=head1 AUTHOR |
247
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248
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Vipul Ved Prakash, Email@vipul.netE |
249
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250
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=head1 SEE ALSO |
251
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252
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Crypt::RSA(3), Crypt::RSA::Key::Public(3), Crypt::RSA::Key::Private(3), |
253
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Tie::EncryptedHash(3), Class::Loader(3), |
254
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Math::Prime::Util(3) |
255
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256
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=cut |
257
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258
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