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9
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10
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11
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12
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package Crypt::RSA::Primitives; |
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13
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8
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8
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126
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use lib qw(lib); |
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8
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162
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8
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129
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14
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8
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8
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121
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use strict; |
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8
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153
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8
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228
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15
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8
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8
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118
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use vars qw(@ISA); |
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8
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75
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8
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141
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16
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8
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8
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123
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use Crypt::RSA::Errorhandler; |
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8
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70
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8
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128
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17
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8
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8
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276
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use Crypt::RSA::Debug qw(debug); |
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8
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84
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8
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756
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18
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8
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8
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390
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use Math::Pari qw(PARI Mod lift); |
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8
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73
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8
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173
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19
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8
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8
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144
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use Carp; |
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8
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73
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8
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147
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20
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@ISA = qw(Crypt::RSA::Errorhandler); |
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21
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22
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sub new { |
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23
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13
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13
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1
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656
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return bless {}, shift; |
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24
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} |
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25
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26
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27
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sub core_encrypt { |
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28
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29
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30
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31
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32
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750
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750
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0
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10958
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my ($self, %params) = @_; |
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33
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750
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7589
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my $key = $params{Key}; |
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34
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750
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50
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12848
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$self->error ("Bad key.", \%params, $key) unless $key->check(); |
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35
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750
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33
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11886
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my $plaintext = $params{Message} || $params{Plaintext}; |
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36
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750
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27825
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debug ("pt == $plaintext"); |
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37
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38
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750
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18084
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my $e = $key->e; my $n = $key->n; |
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750
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233770
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39
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750
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50
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11016
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return $self->error ("Numeric representation of plaintext is out of bound.", |
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40
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\$plaintext, $key, \%params) if $plaintext > $n; |
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41
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750
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8989
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my $c = mod_exp($plaintext, $e, $n); |
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42
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750
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27882
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debug ("ct == $c"); |
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43
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750
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12465
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$n = undef; $e = undef; |
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750
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13387
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44
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750
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14516
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return $c; |
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45
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46
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} |
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47
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48
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49
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sub core_decrypt { |
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50
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51
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52
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53
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54
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55
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752
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752
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0
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10478
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my ($self, %params) = @_; |
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56
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752
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7046
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my $key = $params{Key}; |
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57
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752
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50
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10838
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$self->error ("Bad key.") unless $key->check(); |
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58
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59
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752
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33
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9478
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my $cyphertext = $params{Cyphertext} || $params{Ciphertext}; |
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60
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752
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27354
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my $n = $key->n; |
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61
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752
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50
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12515
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return $self->error ("Decryption error.") if $cyphertext > $n; |
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62
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63
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752
|
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8617
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my $pt; |
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64
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752
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100
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66
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20954
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if ($key->p && $key->q) { |
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65
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544
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7104
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my($p, $q, $d) = ($key->p, $key->q, $key->d); |
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66
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544
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50
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8690
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$key->u (mod_inverse($p, $q)) unless $key->u; |
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67
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544
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50
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239901
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$key->dp ($d % ($p-1)) unless $key->dp; |
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68
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544
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50
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7793
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$key->dq ($d % ($q-1)) unless $key->dq; |
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69
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544
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216250
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my $p2 = mod_exp($cyphertext % $p, $key->dp, $p); |
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70
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544
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14458
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my $q2 = mod_exp($cyphertext % $q, $key->dq, $q); |
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71
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544
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215477
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$pt = $p2 + ($p * ((($q2 - $p2) * $key->u) % $q)); |
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72
|
|
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|
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} |
|
73
|
|
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|
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else { |
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74
|
208
|
|
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|
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3417
|
$pt = mod_exp ($cyphertext, $key->d, $n); |
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75
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} |
|
76
|
|
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77
|
752
|
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481109
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debug ("ct == $cyphertext"); |
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78
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752
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28993
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debug ("pt == $pt"); |
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79
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752
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17049
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return $pt; |
|
80
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81
|
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} |
|
82
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83
|
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84
|
|
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|
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sub core_sign { |
|
85
|
|
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|
86
|
412
|
|
|
412
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0
|
7852
|
my ($self, %params) = @_; |
|
87
|
412
|
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33
|
|
|
6179
|
$params{Cyphertext} = $params{Message} || $params{Plaintext}; |
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88
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412
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226604
|
return $self->core_decrypt (%params); |
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89
|
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90
|
|
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} |
|
91
|
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92
|
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93
|
|
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|
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sub core_verify { |
|
94
|
|
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|
95
|
410
|
|
|
410
|
0
|
9086
|
my ($self, %params) = @_; |
|
96
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410
|
|
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|
|
4708
|
$params{Plaintext} = $params{Signature}; |
|
97
|
410
|
|
|
|
|
6387
|
return $self->core_encrypt (%params); |
|
98
|
|
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|
99
|
|
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} |
|
100
|
|
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|
|
101
|
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|
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102
|
|
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|
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sub mod_inverse { |
|
103
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0
|
|
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0
|
0
|
0
|
my($a, $n) = @_; |
|
104
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0
|
|
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|
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0
|
my $m = Mod(1, $n); |
|
105
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0
|
|
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0
|
lift($m / $a); |
|
106
|
|
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|
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} |
|
107
|
|
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|
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108
|
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|
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109
|
|
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|
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sub mod_exp { |
|
110
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2046
|
|
|
2046
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0
|
24054
|
my($a, $exp, $n) = @_; |
|
111
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2046
|
|
|
|
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460362
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my $m = Mod($a, $n); |
|
112
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2046
|
|
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6589203
|
lift($m ** $exp); |
|
113
|
|
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|
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} |
|
114
|
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|
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115
|
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116
|
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1; |
|
117
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118
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=head1 NAME |
|
119
|
|
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120
|
|
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|
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Crypt::RSA::Primitives - RSA encryption, decryption, signature and verification primitives. |
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121
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122
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=head1 SYNOPSIS |
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123
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124
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my $prim = new Crypt::RSA::Primitives; |
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125
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my $ctxt = $prim->core_encrypt (Key => $key, Plaintext => $string); |
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126
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my $ptxt = $prim->core_decrypt (Key => $key, Cyphertext => $ctxt); |
|
127
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my $sign = $prim->core_sign (Key => $key, Message => $string); |
|
128
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my $vrfy = $prim->core_verify (Key => $key, Signature => $sig); |
|
129
|
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130
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=head1 DESCRIPTION |
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131
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132
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|
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This module implements RSA encryption, decryption, signature and |
|
133
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|
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verfication primitives. These primitives should only be used in the |
|
134
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|
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context of an encryption or signing scheme. See Crypt::RSA::ES::OAEP(3), |
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135
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|
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|
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and Crypt::RSA::SS::PSS(3) for the implementation of two such schemes. |
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136
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137
|
|
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|
|
=head1 ERROR HANDLING |
|
138
|
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|
139
|
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|
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See B<ERROR HANDLING> in Crypt::RSA(3) manpage. |
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140
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141
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|
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=head1 AUTHOR |
|
142
|
|
|
|
|
|
|
|
|
143
|
|
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|
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|
|
Vipul Ved Prakash, E<lt>mail@vipul.netE<gt> |
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144
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145
|
|
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|
|
=head1 SEE ALSO |
|
146
|
|
|
|
|
|
|
|
|
147
|
|
|
|
|
|
|
Crypt::RSA(3), Crypt::RSA::Key(3), Crypt::RSA::ES::OAEP(3), |
|
148
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|
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|
|
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Crypt::RSA::SS::PSS(3) |
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149
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150
|
|
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=cut |
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151
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152
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153
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