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package Crypt::Perl::RSA::PrivateKey; |
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=encoding utf-8 |
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=head1 NAME |
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Crypt::Perl::RSA::PrivateKey - object representation of an RSA private key |
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=head1 SYNOPSIS |
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#You’ll probably instantiate this class using Parser.pm |
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#or Generate.pm. |
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#cf. JSON Web Algorithms (RFC 7518, page 5) |
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#These return an octet string. |
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$sig = $prkey->sign_RS256($message); |
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$sig = $prkey->sign_RS384($message); |
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$sig = $prkey->sign_RS512($message); |
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#These return 1 or 0 to indicate verification or non-verification. |
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$prkey->verify_RS256($message, $sig); |
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$prkey->verify_RS384($message, $sig); |
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$prkey->verify_RS512($message, $sig); |
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25
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#---------------------------------------------------------------------- |
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my $enc = $prkey->encrypt_raw($payload); |
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my $orig = $prkey->decrypt_raw($enc); |
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30
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#---------------------------------------------------------------------- |
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32
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my $der = $prkey->to_der(); |
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33
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my $pem = $prkey->to_pem(); |
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34
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35
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#For use in creating PKCS #10 CSRs and X.509 certificates |
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my $pub_der = $prkey->to_subject_public_der(); |
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37
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38
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my $pbkey = $prkey->get_public_key(); |
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40
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#---------------------------------------------------------------------- |
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42
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$prkey->version(); #scalar, integer |
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43
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44
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$prkey->size(); #modulus length, in bits |
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45
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$prkey->modulus_byte_length(); |
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46
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47
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#---------------------------------------------------------------------- |
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# The following all return instances of Crypt::Perl::BigInt, |
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49
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# a subclass of Math::BigInt. |
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50
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# The pairs (e.g., modulus() and N()) are aliases. |
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51
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#---------------------------------------------------------------------- |
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52
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53
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$prkey->modulus(); |
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54
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$prkey->N(); |
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55
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56
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$prkey->publicExponent(); |
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57
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$prkey->E(); |
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58
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59
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$prkey->privateExponent(); |
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60
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$prkey->D(); |
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61
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62
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$prkey->prime1(); |
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63
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$prkey->P(); |
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64
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65
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$prkey->prime2(); |
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66
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$prkey->Q(); |
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67
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68
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$prkey->exponent1(); |
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69
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$prkey->DP(); |
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70
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71
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$prkey->exponent2(); |
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72
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$prkey->DQ(); |
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73
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74
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$prkey->coefficient(); |
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75
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$prkey->QINV(); |
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76
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77
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=cut |
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78
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79
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6
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6
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430
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use strict; |
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6
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13
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6
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168
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80
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6
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6
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31
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use warnings; |
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6
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12
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6
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203
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81
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82
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6
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73
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use parent qw( |
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83
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Crypt::Perl::RSA::KeyBase |
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84
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6
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6
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33
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); |
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6
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10
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85
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86
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6
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6
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219
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use Module::Load (); |
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6
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12
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6
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85
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87
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88
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6
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6
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930
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use Crypt::Perl::RNG (); |
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6
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14
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6
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97
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89
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6
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6
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29
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use Crypt::Perl::X (); |
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6
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11
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6
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87
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90
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91
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6
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6
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25
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use constant _PEM_HEADER => 'RSA PRIVATE KEY'; |
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6
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10
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6
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302
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92
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6
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6
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30
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use constant _ASN1_MACRO => 'RSAPrivateKey'; |
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6
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14
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6
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858
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93
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94
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BEGIN { |
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95
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6
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6
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83
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__PACKAGE__->mk_ro_accessors( |
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96
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qw( |
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97
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version |
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98
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publicExponent |
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99
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privateExponent |
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100
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prime1 |
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101
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prime2 |
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102
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exponent1 |
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103
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exponent2 |
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104
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coefficient |
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105
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) |
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106
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); |
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107
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108
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6
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7674
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*E = \&publicExponent; |
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109
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6
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15
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*D = \&privateExponent; |
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110
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111
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6
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12
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*P = \&prime1; |
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112
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6
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11
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*Q = \&prime2; |
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113
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114
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6
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11
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*DP = \&exponent1; |
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115
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6
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12
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*DQ = \&exponent2; |
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116
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117
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6
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12
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*QINV = \&coefficient; |
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118
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119
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6
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4660
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*to_subject_public_der = __PACKAGE__->can('_to_subject_public_der'); |
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120
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} |
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121
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122
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sub sign_RS256 { |
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123
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262
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262
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0
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853
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my ($self, $msg) = @_; |
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124
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125
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262
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1185
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return $self->_sign($msg, 'Digest::SHA', 'sha256', 'PKCS1_v1_5'); |
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126
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} |
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127
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128
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sub sign_RS384 { |
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129
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2
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2
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0
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82
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my ($self, $msg) = @_; |
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130
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131
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2
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8
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return $self->_sign($msg, 'Digest::SHA', 'sha384', 'PKCS1_v1_5'); |
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132
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} |
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133
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134
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sub sign_RS512 { |
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135
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4
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4
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0
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466
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my ($self, $msg) = @_; |
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136
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137
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4
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21
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return $self->_sign($msg, 'Digest::SHA', 'sha512', 'PKCS1_v1_5'); |
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138
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} |
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139
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140
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sub get_public_key { |
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141
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4
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4
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0
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93
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my ($self) = @_; |
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142
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143
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4
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1119
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require Crypt::Perl::RSA::PublicKey; |
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144
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145
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return Crypt::Perl::RSA::PublicKey->new( { |
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146
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modulus => $self->{'modulus'}, |
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147
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4
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43
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publicExponent => $self->{'publicExponent'}, |
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148
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} ); |
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149
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} |
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150
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151
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sub get_struct_for_private_jwk { |
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152
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1
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1
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0
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890
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my ($self) = @_; |
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153
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154
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1
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8
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require MIME::Base64; |
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155
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156
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1
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4
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my $jwk = $self->get_struct_for_public_jwk(); |
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157
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158
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1
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21
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my %augment = qw( |
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159
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d D |
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160
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p P |
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161
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q Q |
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162
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dp DP |
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163
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dq DQ |
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164
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qi QINV |
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165
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); |
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166
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167
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1
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10
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for my $k (keys %augment) { |
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168
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6
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95
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my $accessor = $augment{$k}; |
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169
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6
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174
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$jwk->{$k} = MIME::Base64::encode_base64url( $self->$accessor()->as_bytes() ); |
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170
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} |
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171
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172
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1
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23
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return $jwk; |
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173
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} |
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174
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175
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#---------------------------------------------------------------------- |
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176
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#This function, in tandem with encrypt_raw(), represents the fundamental |
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177
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#mathematical truth on which RSA rests. |
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178
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# |
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179
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180
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sub decrypt_raw { |
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181
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1
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1
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0
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769
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my ($self, $x) = @_; |
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182
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183
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1
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6
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$x = Crypt::Perl::BigInt->from_bytes($x); |
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184
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185
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#jsrsasign avoids this when it has P and Q, which we have. |
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186
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#presumably that’s because privateExponent (D) is quite large, |
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187
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#so using it as an exponent is expensive. |
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188
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#return $self->bmodpow($self->{'privateExponent'}, $self->{'modulus'})->as_bytes(); |
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189
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190
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1
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1989
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my $p = $self->P(); |
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191
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1
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22
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my $q = $self->Q(); |
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192
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193
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1
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18
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my $p1 = $p->copy()->bdec(); |
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194
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1
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76
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my $q1 = $q->copy()->bdec(); |
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195
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196
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1
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47
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my $xp = $x->copy()->bmod($p)->bmodpow( $self->D()->copy()->bmod($p1), $p ); |
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197
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1
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692883
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my $xq = $x->copy()->bmod($q)->bmodpow( $self->D()->copy()->bmod($q1), $q ); |
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198
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199
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#$xp->binc($p) while $xp->blt($xq); |
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200
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201
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#return ($xq + ((($xp - $xq) * $self->QINV()) % $p) * $q)->as_bytes(); |
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202
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203
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1
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669219
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my $diff = $xp->bsub($xq)->babs()->bmod($p)->bsub($p)->babs(); |
|
204
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|
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205
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1
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429
|
$diff->bmul($self->QINV())->bmod($p)->bmuladd($q, $xq)->as_bytes(); |
|
206
|
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} |
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207
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208
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|
|
#---------------------------------------------------------------------- |
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209
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|
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|
|
210
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|
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|
|
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|
sub _sign { |
|
211
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268
|
|
|
268
|
|
978
|
my ($self, $msg, $hash_module, $hasher, $scheme) = @_; |
|
212
|
|
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|
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|
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213
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268
|
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|
|
1055
|
Module::Load::load($hash_module); |
|
214
|
|
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|
|
215
|
268
|
|
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|
|
27400
|
my $dgst = $hash_module->can($hasher)->($msg); |
|
216
|
|
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|
|
217
|
268
|
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|
587
|
my $sig; |
|
218
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|
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|
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219
|
268
|
50
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|
|
1027
|
if ($scheme eq 'PKCS1_v1_5') { |
|
220
|
268
|
|
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|
|
2692
|
require Crypt::Perl::RSA::PKCS1_v1_5; |
|
221
|
|
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|
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|
|
222
|
268
|
|
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|
|
946
|
my $sig_length = $self->modulus_byte_length(); |
|
223
|
|
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|
|
|
|
|
|
224
|
|
|
|
|
|
|
#The encoded length equals the length, in bytes, |
|
225
|
|
|
|
|
|
|
#of the key’s modulus. |
|
226
|
268
|
|
|
|
|
1372
|
my $eb = Crypt::Perl::RSA::PKCS1_v1_5::encode( |
|
227
|
|
|
|
|
|
|
$dgst, |
|
228
|
|
|
|
|
|
|
$hasher, |
|
229
|
|
|
|
|
|
|
$sig_length, |
|
230
|
|
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|
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|
|
); |
|
231
|
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|
|
232
|
|
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|
|
|
|
#printf "PERL: %v02x\n", $eb; |
|
233
|
|
|
|
|
|
|
#print "mod byte length: " . Crypt::Perl::RSA::modulus_byte_length($key_obj) . $/; |
|
234
|
|
|
|
|
|
|
|
|
235
|
268
|
|
|
|
|
1452
|
my $x = Crypt::Perl::BigInt->from_hex( unpack 'H*', $eb ); |
|
236
|
|
|
|
|
|
|
|
|
237
|
268
|
|
|
|
|
810362
|
$sig = $self->_transform($x)->as_bytes(); |
|
238
|
|
|
|
|
|
|
|
|
239
|
268
|
|
|
|
|
2169
|
substr( $sig, 0, 0 ) = "\0" x ($sig_length - length $sig); |
|
240
|
|
|
|
|
|
|
} |
|
241
|
|
|
|
|
|
|
else { |
|
242
|
0
|
|
|
|
|
0
|
die Crypt::Perl::X::create('Generic', "Unknown RSA signature scheme: “$scheme”"); |
|
243
|
|
|
|
|
|
|
} |
|
244
|
|
|
|
|
|
|
|
|
245
|
268
|
|
|
|
|
2073
|
return $sig; |
|
246
|
|
|
|
|
|
|
} |
|
247
|
|
|
|
|
|
|
|
|
248
|
|
|
|
|
|
|
#RSA’s signing operation. |
|
249
|
|
|
|
|
|
|
#This function is based on _modPow() in forge’s js/rsa.js. |
|
250
|
|
|
|
|
|
|
# |
|
251
|
|
|
|
|
|
|
#Returns a BigInt. |
|
252
|
|
|
|
|
|
|
sub _transform { |
|
253
|
268
|
|
|
268
|
|
885
|
my ($self, $x) = @_; |
|
254
|
|
|
|
|
|
|
|
|
255
|
268
|
|
|
|
|
1054
|
my $key_bytes_length = $self->modulus_byte_length(); |
|
256
|
|
|
|
|
|
|
|
|
257
|
|
|
|
|
|
|
#cryptographic blinding |
|
258
|
268
|
|
|
|
|
708
|
my $r; |
|
259
|
268
|
|
66
|
|
|
675
|
do { |
|
260
|
12980
|
|
|
|
|
41133534
|
$r = Crypt::Perl::BigInt->from_hex( |
|
261
|
|
|
|
|
|
|
Crypt::Perl::RNG::bytes_hex( $key_bytes_length ), |
|
262
|
|
|
|
|
|
|
); |
|
263
|
|
|
|
|
|
|
} while ($r->bge($self->N())) || ($r->bgcd($self->N())->bne(1)); |
|
264
|
|
|
|
|
|
|
|
|
265
|
268
|
|
|
|
|
19190371
|
$x->bmul( $r->copy()->bmodpow($self->E(), $self->N()) )->bmod($self->N()); |
|
266
|
|
|
|
|
|
|
|
|
267
|
|
|
|
|
|
|
#calculate xp and xq |
|
268
|
268
|
|
|
|
|
9670871
|
my $xp = $x->copy()->bmod($self->P())->bmodpow($self->DP(), $self->P()); |
|
269
|
268
|
|
|
|
|
149432195
|
my $xq = $x->copy()->bmod($self->Q())->bmodpow($self->DQ(), $self->Q()); |
|
270
|
|
|
|
|
|
|
|
|
271
|
|
|
|
|
|
|
#xp must be larger than xq to avoid signed bit usage |
|
272
|
268
|
|
|
|
|
148323982
|
$xp->badd($self->P()) while $xp->blt($xq); |
|
273
|
|
|
|
|
|
|
|
|
274
|
268
|
|
|
|
|
36439
|
my $y = $xp->bsub($xq)->bmul($self->QINV())->bmod($self->P()); |
|
275
|
|
|
|
|
|
|
|
|
276
|
|
|
|
|
|
|
#$y *= $self->Q(); |
|
277
|
|
|
|
|
|
|
#$y += $xq; |
|
278
|
268
|
|
|
|
|
391589
|
$y->bmuladd( $self->Q(), $xq ); |
|
279
|
|
|
|
|
|
|
|
|
280
|
|
|
|
|
|
|
#remove effect of random for cryptographic blinding |
|
281
|
268
|
|
|
|
|
148192
|
$y->bmul( $r->bmodinv($self->N()) ); |
|
282
|
268
|
|
|
|
|
24992409
|
$y->bmod($self->N()); |
|
283
|
|
|
|
|
|
|
|
|
284
|
268
|
|
|
|
|
574317
|
return $y; |
|
285
|
|
|
|
|
|
|
} |
|
286
|
|
|
|
|
|
|
|
|
287
|
|
|
|
|
|
|
1; |