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package Crypt::RSA::Key; |
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2
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12
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12
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125700
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use strict; |
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12
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32
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12
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297
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3
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12
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12
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56
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use warnings; |
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12
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26
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12
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314
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4
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5
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## Crypt::RSA::Keys |
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6
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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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9
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## it under the same terms as Perl itself. |
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10
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11
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12
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12
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59
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use base 'Class::Loader'; |
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12
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39
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12
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4316
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12
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12
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12
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77064
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use base 'Crypt::RSA::Errorhandler'; |
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12
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29
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12
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2849
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13
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12
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12
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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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12
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95496
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12
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62
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14
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12
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12
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4491
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use Crypt::RSA::DataFormat qw(bitsize); |
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12
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43
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12
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616
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15
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12
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12
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72
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use Math::BigInt try => 'GMP, Pari'; |
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12
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22
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12
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77
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16
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12
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12
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12868
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use Crypt::RSA::Key::Private; |
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12
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34
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12
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351
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17
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12
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12
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4253
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use Crypt::RSA::Key::Public; |
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12
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30
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12
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256
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18
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12
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12
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71
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use Carp; |
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12
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25
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12
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7775
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19
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20
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$Crypt::RSA::Key::VERSION = '1.99'; |
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21
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22
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my %MODMAP = ( |
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23
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Native_PKF => { Module => "Crypt::RSA::Key::Public" }, |
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24
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Native_SKF => { Module => "Crypt::RSA::Key::Private" }, |
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25
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SSH_PKF => { Module => "Crypt::RSA::Key::Public::SSH" }, |
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26
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SSH_SKF => { Module => "Crypt::RSA::Key::Private::SSH" }, |
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27
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); |
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28
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29
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30
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sub new { |
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31
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11
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11
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1
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2133
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my $class = shift; |
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32
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11
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32
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my $self = {}; |
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33
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11
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29
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bless $self, $class; |
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34
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11
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185
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$self->_storemap ( %MODMAP ); |
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35
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11
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267
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return $self; |
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36
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} |
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37
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38
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39
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sub generate { |
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40
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41
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15
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15
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1
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162
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my ($self, %params) = @_; |
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42
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43
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15
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38
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my $key; |
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44
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15
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50
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66
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89
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unless ($params{q} && $params{p} && $params{e}) { |
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33
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45
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46
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14
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50
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70
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return $self->error ("Missing argument.") unless $params{Size}; |
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47
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48
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return $self->error ("Keysize too small.") if |
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49
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14
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50
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71
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$params{Size} < 48; |
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50
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51
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return $self->error ("Odd keysize.") if |
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52
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14
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50
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57
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$params{Size} % 2; |
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53
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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); |
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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; |
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56
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57
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# Switch from Maurer prime to nbit prime, then add some more primality |
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58
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# testing. This is faster and gives us a wider set of possible primes. |
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59
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60
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# We really ought to consider the distribution. See: |
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61
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# https://crocs.fi.muni.cz/_media/public/papers/usenixsec16_1mrsakeys_trfimu_201603.pdf |
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62
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# for comments on p/q selection. |
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63
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64
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14
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33
|
while (1) { |
|
65
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29
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|
2342
|
my $p = random_nbit_prime($size); |
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66
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29
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475093182
|
my $q = random_nbit_prime($size); |
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67
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29
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100
|
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680530527
|
$p = Math::BigInt->new("$p") unless ref($p) eq 'Math::BigInt'; |
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68
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29
|
100
|
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663
|
$q = Math::BigInt->new("$q") unless ref($q) eq 'Math::BigInt'; |
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69
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70
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# For unbiased rejection sampling, generate both p/q if size too small. |
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71
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29
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100
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482
|
next unless bitsize($p * $q) == $params{Size}; |
|
72
|
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73
|
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# Verify primes aren't too close together. |
|
74
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14
|
100
|
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|
|
84
|
if ($params{Size} >= 256) { |
|
75
|
11
|
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52
|
my $threshold = Math::BigInt->new(2)->bpow($params{Size}/2 - 100); |
|
76
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11
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|
5877
|
my $diff = $p->copy->bsub($q)->babs; |
|
77
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11
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50
|
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|
2005
|
next if $diff <= $threshold; |
|
78
|
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} |
|
79
|
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80
|
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# We could check p-1 and q-1 smoothness. |
|
81
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82
|
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# p and q have passed the strong BPSW test, so it would be shocking |
|
83
|
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# if they were not prime. We'll add a few more tests because they're |
|
84
|
|
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|
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# cheap and we want to be extra careful, but also don't want to spend |
|
85
|
|
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|
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|
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# the time doing a full primality proof. |
|
86
|
|
|
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|
87
|
14
|
50
|
|
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|
687
|
do { carp "$p passes BPSW but fails Frobenius test!"; next; } |
|
|
0
|
|
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|
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0
|
|
|
|
0
|
|
|
|
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0
|
|
|
88
|
|
|
|
|
|
|
unless is_frobenius_khashin_pseudoprime($p); |
|
89
|
14
|
50
|
|
|
|
32104300
|
do { carp "$q passes BPSW but fails Frobenius test!"; next; } |
|
|
0
|
|
|
|
|
0
|
|
|
|
0
|
|
|
|
|
0
|
|
|
90
|
|
|
|
|
|
|
unless is_frobenius_khashin_pseudoprime($q); |
|
91
|
|
|
|
|
|
|
|
|
92
|
14
|
50
|
|
|
|
32210025
|
do { carp "$p fails Miller-Rabin testing!"; next; } |
|
|
0
|
|
|
|
|
0
|
|
|
|
0
|
|
|
|
|
0
|
|
|
93
|
|
|
|
|
|
|
unless miller_rabin_random($p,3); |
|
94
|
14
|
50
|
|
|
|
18475282
|
do { carp "$q fails Miller-Rabin testing!"; next; } |
|
|
0
|
|
|
|
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0
|
|
|
|
0
|
|
|
|
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0
|
|
|
95
|
|
|
|
|
|
|
unless miller_rabin_random($q,3); |
|
96
|
|
|
|
|
|
|
|
|
97
|
14
|
|
|
|
|
19153359
|
$key = { p => $p, q => $q, e => Math::BigInt->new(65537) }; |
|
98
|
14
|
|
|
|
|
929
|
last; |
|
99
|
|
|
|
|
|
|
} |
|
100
|
|
|
|
|
|
|
} |
|
101
|
|
|
|
|
|
|
|
|
102
|
15
|
100
|
|
|
|
89
|
if ($params{KF}) { |
|
103
|
4
|
|
|
|
|
20
|
$params{PKF} = { Name => "$params{KF}_PKF" }; |
|
104
|
4
|
|
|
|
|
17
|
$params{SKF} = { Name => "$params{KF}_SKF" } |
|
105
|
|
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|
|
|
|
} |
|
106
|
|
|
|
|
|
|
|
|
107
|
15
|
100
|
|
|
|
82
|
my $pubload = $params{PKF} ? $params{PKF} : { Name => "Native_PKF" }; |
|
108
|
15
|
100
|
|
|
|
70
|
my $priload = $params{SKF} ? $params{SKF} : { Name => "Native_SKF" }; |
|
109
|
|
|
|
|
|
|
|
|
110
|
15
|
|
50
|
|
|
209
|
my $pubkey = $self->_load (%$pubload) || |
|
111
|
|
|
|
|
|
|
return $self->error ("Couldn't load the public key module: $@"); |
|
112
|
15
|
|
50
|
|
|
272
|
my $prikey = $self->_load ((%$priload), Args => ['Cipher' => $params{Cipher}, 'Password' => $params{Password} ]) || |
|
113
|
|
|
|
|
|
|
return $self->error ("Couldn't load the private key module: $@"); |
|
114
|
15
|
|
|
|
|
315
|
$pubkey->Identity ($params{Identity}); |
|
115
|
15
|
|
|
|
|
103
|
$prikey->Identity ($params{Identity}); |
|
116
|
|
|
|
|
|
|
|
|
117
|
15
|
|
66
|
|
|
82
|
$pubkey->e ($$key{e} || $params{e}); |
|
118
|
15
|
|
66
|
|
|
62
|
$prikey->e ($$key{e} || $params{e}); |
|
119
|
15
|
|
66
|
|
|
61
|
$prikey->p ($$key{p} || $params{p}); |
|
120
|
15
|
|
66
|
|
|
67
|
$prikey->q ($$key{q} || $params{q}); |
|
121
|
|
|
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|
122
|
15
|
|
|
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76
|
$prikey->phi ( ($prikey->p - 1) * ($prikey->q - 1) ); |
|
123
|
|
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|
124
|
15
|
|
|
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|
114
|
$prikey->d ( ($pubkey->e)->copy->bmodinv($prikey->phi) ); |
|
125
|
15
|
|
|
|
|
80
|
$prikey->n ( $prikey->p * $prikey->q ); |
|
126
|
15
|
|
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|
|
75
|
$pubkey->n ( $prikey->n ); |
|
127
|
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|
|
|
|
|
|
|
128
|
15
|
|
|
|
|
77
|
$prikey->dp ($prikey->d % ($prikey->p - 1)); |
|
129
|
15
|
|
|
|
|
93
|
$prikey->dq ($prikey->d % ($prikey->q - 1)); |
|
130
|
15
|
|
|
|
|
93
|
$prikey->u ( ($prikey->p)->copy->bmodinv($prikey->q) ); |
|
131
|
|
|
|
|
|
|
|
|
132
|
15
|
50
|
|
|
|
96
|
return $self->error ("d is too small. Regenerate.") if |
|
133
|
|
|
|
|
|
|
bitsize($prikey->d) < 0.25 * bitsize($prikey->n); |
|
134
|
|
|
|
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|
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|
|
135
|
15
|
|
|
|
|
60
|
$$key{p} = 0; $$key{q} = 0; $$key{e} = 0; |
|
|
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
|
15
|
50
|
|
|
|
76
|
if ($params{Filename}) { |
|
138
|
0
|
|
|
|
|
0
|
$pubkey->write (Filename => "$params{Filename}.public"); |
|
139
|
0
|
|
|
|
|
0
|
$prikey->write (Filename => "$params{Filename}.private"); |
|
140
|
|
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|
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|
|
} |
|
141
|
|
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|
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|
142
|
15
|
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|
183
|
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
|
|
|
|
|
|
|
|
|
150
|
|
|
|
|
|
|
Crypt::RSA::Key - RSA Key Pair Generator. |
|
151
|
|
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|
|
152
|
|
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|
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|
|
=head1 SYNOPSIS |
|
153
|
|
|
|
|
|
|
|
|
154
|
|
|
|
|
|
|
my $keychain = new Crypt::RSA::Key; |
|
155
|
|
|
|
|
|
|
my ($public, $private) = $keychain->generate ( |
|
156
|
|
|
|
|
|
|
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
|
|
|
|
|
|
|
) or die $keychain->errstr(); |
|
161
|
|
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|
|
162
|
|
|
|
|
|
|
=head1 DESCRIPTION |
|
163
|
|
|
|
|
|
|
|
|
164
|
|
|
|
|
|
|
This module provides a method to generate an RSA key pair. |
|
165
|
|
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|
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|
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|
|
166
|
|
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|
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|
|
=head1 METHODS |
|
167
|
|
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=head2 new() |
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170
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Constructor. |
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=head2 generate() |
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174
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generate() generates an RSA key of specified bitsize. It returns a list of |
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two elements, a Crypt::RSA::Key::Public object that holds the public part |
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of the key pair and a Crypt::RSA::Key::Private object that holds that |
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private part. On failure, it returns undef and sets $self->errstr to |
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appropriate error string. generate() takes a hash argument with the |
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following keys: |
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=over 4 |
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183
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=item B |
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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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188
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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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193
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=item B |
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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 |
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202
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The block cipher which is used for encrypting the private key. Defaults to |
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`Blowfish'. Cipher could be set to any value that works with Crypt::CBC(3) |
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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 |
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212
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The generated key pair will be written to disk, in $Filename.public and |
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$Filename.private files, if this argument is provided. Disk writes can be |
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deferred by skipping this argument and achieved later with the write() |
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method of Crypt::RSA::Key::Public(3) and Crypt::RSA::Key::Private(3). |
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217
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=item B |
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219
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A string that specifies the key format. As of this writing, two key |
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220
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formats, `Native' and `SSH', are supported. KF defaults to `Native'. |
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222
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=item B |
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224
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Secret (Private) Key Format. Instead of specifying KF, the user could |
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225
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choose to specify secret and public key formats separately. The value for |
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226
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SKF can be a string ("Native" or "SSH") or a hash reference that specifies |
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227
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a module name, its constructor and constructor arguments. The specified |
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228
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module is loaded with Class::Loader(3) and must be interface compatible |
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229
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with Crypt::RSA::Key::Private(3). |
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230
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231
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=item B |
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232
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233
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Public Key Format. This option is like SKF but for the public key. |
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234
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235
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=back |
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236
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237
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=head1 ERROR HANDLING |
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238
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239
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See B in Crypt::RSA(3) manpage. |
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240
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241
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=head1 BUGS |
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242
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243
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There's an inefficiency in the way generate() ensures the key pair is |
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244
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exactly Size bits long. This will be fixed in a future release. |
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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 |
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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), |
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253
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Tie::EncryptedHash(3), Class::Loader(3), |
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254
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Math::Prime::Util(3) |
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255
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256
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=cut |
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257
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258
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