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package Crypt::Perl::ECDSA::PrivateKey; |
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=encoding utf-8 |
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=head1 NAME |
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Crypt::Perl::ECDSA::PrivateKey - object representation of ECDSA private key |
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=head1 SYNOPSIS |
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#Use Generate.pm or Parse.pm rather |
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#than instantiating this class directly. |
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#This works even if the object came from a key file that doesn’t |
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#contain the curve name. |
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$prkey->get_curve_name(); |
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if ($payload > ($prkey->max_sign_bits() / 8)) { |
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die "Payload too long!"; |
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} |
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#$payload is probably a hash (e.g., SHA-256) of your original message. |
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my $sig = $prkey->sign($payload); |
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#For JSON Web Algorithms (JWT et al.), cf. RFC 7518 page 8 |
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#This will also apply the appropriate SHA algorithm before signing. |
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my $sig_jwa = $prkey->sign_jwa($payload); |
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$prkey->verify($payload, $sig) or die "Invalid signature!"; |
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$prkey->verify_jwa($payload, $sig_jwa) or die "Invalid signature!"; |
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#Corresponding “der” methods exist as well. |
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my $cn_pem = $prkey->to_pem_with_curve_name(); |
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my $expc_pem = $prkey->to_pem_with_explicit_curve(); |
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#---------------------------------------------------------------------- |
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my $pbkey = $prkey->get_public_key(); |
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#---------------------------------------------------------------------- |
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#Includes “kty”, “crv”, “x”, “y”, and (for private) “d”. |
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#Add in whatever else your application needs afterward. |
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# |
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#These will die() if you try to run it with a curve that |
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#doesn’t have a known JWK “crv” value. |
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# |
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my $prv_jwk = $prkey->get_struct_for_private_jwk(); |
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my $pub_jwk = $prkey->get_struct_for_public_jwk(); |
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#Useful for JWTs |
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my $jwt_alg = $pbkey->get_jwa_alg(); |
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54
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=head1 DISCUSSION |
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56
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The SYNOPSIS above should be illustration enough of how to use this class. |
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58
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=head1 SECURITY |
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60
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The security advantages of elliptic-curve cryptography (ECC) are a matter of |
61
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some controversy. While the math itself is apparently bulletproof, there are |
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varying opinions about the integrity of the various curves that are recommended |
63
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for ECC. Some believe that some curves contain “backdoors” that would allow |
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L to sniff a transmission. |
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66
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That said, RSA will eventually no longer be viable: as the keys get bigger, the |
67
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security advantage of increasing their size diminishes. |
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69
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=head1 TODO |
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71
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This minimal set of functionality can be augmented as feature requests come in. |
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Patches are welcome—particularly with tests! |
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74
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=cut |
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76
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7
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7
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use strict; |
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14
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7
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164
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77
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7
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7
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31
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use warnings; |
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21
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7
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179
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78
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79
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7
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7
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27
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use parent qw( Crypt::Perl::ECDSA::KeyBase ); |
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14
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7
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57
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80
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81
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7
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7
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286
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use Try::Tiny; |
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13
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7
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263
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82
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83
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7
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use Bytes::Random::Secure::Tiny (); |
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11
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7
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92
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84
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85
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7
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7
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24
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use Crypt::Perl::ASN1 (); |
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11
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7
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62
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86
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7
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7
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25
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use Crypt::Perl::BigInt (); |
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9
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7
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114
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87
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7
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7
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34
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use Crypt::Perl::Math (); |
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13
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7
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83
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88
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7
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1430
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use Crypt::Perl::ToDER (); |
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10
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7
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90
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89
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7
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29
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use Crypt::Perl::X (); |
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12
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212
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90
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91
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#This is not the standard ASN.1 template as found in RFC 5915, |
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#but it seems to generate equivalent results. |
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# |
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7
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526
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use constant ASN1_PRIVATE => Crypt::Perl::ECDSA::KeyBase->ASN1_Params() . q< |
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96
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ECPrivateKey ::= SEQUENCE { |
97
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version INTEGER, |
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privateKey OCTET STRING, |
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parameters [0] EXPLICIT EcpkParameters OPTIONAL, |
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publicKey [1] EXPLICIT BIT STRING |
101
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} |
102
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7
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7
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31
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>; |
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55
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103
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104
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7
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7
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37
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use constant _PEM_HEADER => 'EC PRIVATE KEY'; |
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7
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11
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7
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342
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105
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106
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7
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7
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32
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use constant NUMBER_CLASS => 'Crypt::Perl::BigInt'; |
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7
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33
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7
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4895
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107
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108
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#$curve_parts is also a hash ref, defined as whatever the ASN.1 |
109
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#parse of the main key’s “parameters” returned, whether that be |
110
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#explicit key parameters or a named curve. |
111
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# |
112
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sub new { |
113
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544
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544
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0
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1790
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my ($class, $key_parts, $curve_parts) = @_; |
114
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115
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544
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50
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2605
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if (!length $key_parts->{'version'}) { |
116
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0
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0
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die Crypt::Perl::X::create('Generic', 'Need a “version”! (Try 1)'); |
117
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} |
118
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119
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my $self = { |
120
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544
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1975
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version => $key_parts->{'version'}, |
121
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}; |
122
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123
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544
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1183
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bless $self, $class; |
124
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125
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544
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4319
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$self->_set_public( $key_parts->{'public'} ); |
126
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127
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544
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2327
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for my $k ( qw( private ) ) { |
128
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544
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50
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544
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5481
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if ( try { $key_parts->{$k}->isa(NUMBER_CLASS()) } ) { |
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544
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15348
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129
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544
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7633
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$self->{$k} = $key_parts->{$k}; |
130
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} |
131
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else { |
132
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0
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0
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die Crypt::Perl::X::create('Generic', sprintf "“$k” must be “%s”, not “$key_parts->{$k}”!", NUMBER_CLASS()); |
133
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} |
134
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} |
135
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136
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544
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2458
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return $self->_add_params( $curve_parts ); |
137
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} |
138
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139
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sub sign { |
140
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284
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284
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0
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332550
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my ($self, $whatsit) = @_; |
141
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142
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284
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2981
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my ($r, $s) = $self->_sign($whatsit); |
143
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242
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2744
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return $self->_serialize_sig( $r, $s ); |
144
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} |
145
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146
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#cf. RFC 7518, page 8 |
147
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sub sign_jwa { |
148
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3
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3
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0
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1597
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my ($self, $whatsit) = @_; |
149
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150
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3
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17
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my $dgst_cr = $self->_get_jwk_digest_cr(); |
151
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152
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3
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65
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my ($r, $s) = map { $_->as_bytes() } $self->_sign($dgst_cr->($whatsit)); |
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31
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153
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154
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3
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34
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my $octet_length = Crypt::Perl::Math::ceil($self->max_sign_bits() / 8); |
155
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156
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3
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17
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substr( $_, 0, 0 ) = "\0" x ($octet_length - length) for ($r, $s); |
157
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158
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3
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19
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return $r . $s; |
159
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} |
160
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161
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sub get_public_key { |
162
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13
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13
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0
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156
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my ($self) = @_; |
163
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164
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13
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1057
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require Crypt::Perl::ECDSA::PublicKey; |
165
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166
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13
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119
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my $curve_hr = $self->_explicit_curve_parameters( seed => 1 ); |
167
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13
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57
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my $ccurve_hr = $curve_hr->{'ecParameters'}{'curve'}; |
168
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13
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47
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$ccurve_hr->{'seed'} = [ $ccurve_hr->{'seed'} ]; |
169
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170
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13
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91
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return Crypt::Perl::ECDSA::PublicKey->new( |
171
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$self->_decompress_public_point(), |
172
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$curve_hr, |
173
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); |
174
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} |
175
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176
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sub get_struct_for_private_jwk { |
177
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1
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1
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0
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727
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my ($self) = @_; |
178
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179
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1
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5
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my $hr = $self->get_struct_for_public_jwk(); |
180
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181
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1
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20
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require MIME::Base64; |
182
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183
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1
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6
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$hr->{'d'} = MIME::Base64::encode_base64url( $self->{'private'}->as_bytes() ); |
184
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185
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1
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12
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return $hr; |
186
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} |
187
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188
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#---------------------------------------------------------------------- |
189
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190
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#$whatsit is probably a message digest, e.g., from SHA256 |
191
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sub _sign { |
192
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287
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287
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1306
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my ($self, $whatsit) = @_; |
193
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194
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287
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2119
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my $dgst = Crypt::Perl::BigInt->from_bytes( $whatsit ); |
195
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196
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287
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140562
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my $priv_num = $self->{'private'}; #Math::BigInt->from_hex( $priv_hex ); |
197
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198
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287
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2442
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my $n = $self->_curve()->{'n'}; #$curve_data->{'n'}; |
199
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|
|
200
|
287
|
|
|
|
|
2827
|
my $key_len = $self->max_sign_bits(); |
201
|
287
|
|
|
|
|
245334
|
my $dgst_len = $dgst->bit_length(); |
202
|
287
|
100
|
|
|
|
133445
|
if ( $dgst_len > $key_len ) { |
203
|
42
|
|
|
|
|
509
|
die Crypt::Perl::X::create('TooLongToSign', $key_len, $dgst_len ); |
204
|
|
|
|
|
|
|
} |
205
|
|
|
|
|
|
|
|
206
|
|
|
|
|
|
|
#isa ECPoint |
207
|
245
|
|
|
|
|
2567
|
my $G = $self->_G(); |
208
|
|
|
|
|
|
|
#printf "G.x: %s\n", $G->{'x'}->to_bigint()->as_hex(); |
209
|
|
|
|
|
|
|
#printf "G.y: %s\n", $G->{'y'}->to_bigint()->as_hex(); |
210
|
|
|
|
|
|
|
#printf "G.z: %s\n", $G->{'z'}->as_hex(); |
211
|
|
|
|
|
|
|
|
212
|
245
|
|
|
|
|
860
|
my ($k, $r); |
213
|
|
|
|
|
|
|
|
214
|
245
|
|
|
|
|
538
|
do { |
215
|
245
|
|
|
|
|
3271
|
$k = Crypt::Perl::Math::randint($n); |
216
|
|
|
|
|
|
|
#print "once\n"; |
217
|
|
|
|
|
|
|
#printf "big random: %s\n", $k->as_hex(); |
218
|
|
|
|
|
|
|
#$k = Crypt::Perl::BigInt->new("98452900523450592996995215574085435893040452563985855319633891614520662229711"); |
219
|
|
|
|
|
|
|
#printf "k: %s\n", $k->bstr(); |
220
|
245
|
|
|
|
|
2675
|
my $Q = $G->multiply($k); #$Q isa ECPoint |
221
|
|
|
|
|
|
|
#printf "Q.x: %s\n", $Q->{'x'}->to_bigint()->as_hex(); |
222
|
|
|
|
|
|
|
#printf "Q.y: %s\n", $Q->{'y'}->to_bigint()->as_hex(); |
223
|
|
|
|
|
|
|
#printf "Q.z: %s\n", $Q->{'z'}->as_hex(); |
224
|
245
|
|
|
|
|
1108
|
$r = $Q->get_x()->to_bigint()->copy()->bmod($n); |
225
|
|
|
|
|
|
|
} while !$r->is_positive(); |
226
|
|
|
|
|
|
|
|
227
|
|
|
|
|
|
|
#printf "k: %s\n", $k->as_hex(); |
228
|
|
|
|
|
|
|
#printf "n: %s\n", $n->as_hex(); |
229
|
|
|
|
|
|
|
#printf "e: %s\n", $dgst->as_hex(); |
230
|
|
|
|
|
|
|
#printf "d: %s\n", $priv_num->as_hex(); |
231
|
|
|
|
|
|
|
#printf "r: %s\n", $r->as_hex(); |
232
|
|
|
|
|
|
|
|
233
|
245
|
|
|
|
|
34738
|
my $s = $k->bmodinv($n); |
234
|
|
|
|
|
|
|
|
235
|
|
|
|
|
|
|
#$s *= ( $dgst + ( $priv_num * $r ) ); |
236
|
245
|
|
|
|
|
5425134
|
$s->bmul( $priv_num->copy()->bmuladd( $r, $dgst ) ); |
237
|
|
|
|
|
|
|
|
238
|
245
|
|
|
|
|
220019
|
$s->bmod($n); |
239
|
|
|
|
|
|
|
|
240
|
245
|
|
|
|
|
230815
|
return ($r, $s); |
241
|
|
|
|
|
|
|
} |
242
|
|
|
|
|
|
|
|
243
|
|
|
|
|
|
|
sub _get_asn1_parts { |
244
|
250
|
|
|
250
|
|
802
|
my ($self, $curve_parts, @params) = @_; |
245
|
|
|
|
|
|
|
|
246
|
250
|
|
|
|
|
1042
|
my $private_str = $self->{'private'}->as_bytes(); |
247
|
|
|
|
|
|
|
|
248
|
250
|
|
|
|
|
2340
|
return $self->__to_der( |
249
|
|
|
|
|
|
|
'ECPrivateKey', |
250
|
|
|
|
|
|
|
ASN1_PRIVATE(), |
251
|
|
|
|
|
|
|
{ |
252
|
|
|
|
|
|
|
version => 1, |
253
|
|
|
|
|
|
|
privateKey => $private_str, |
254
|
|
|
|
|
|
|
parameters => $curve_parts, |
255
|
|
|
|
|
|
|
}, |
256
|
|
|
|
|
|
|
@params, |
257
|
|
|
|
|
|
|
); |
258
|
|
|
|
|
|
|
} |
259
|
|
|
|
|
|
|
|
260
|
|
|
|
|
|
|
sub _serialize_sig { |
261
|
242
|
|
|
242
|
|
1583
|
my ($self, $r, $s) = @_; |
262
|
|
|
|
|
|
|
|
263
|
242
|
|
|
|
|
2705
|
my $asn1 = Crypt::Perl::ASN1->new()->prepare( $self->ASN1_SIGNATURE() ); |
264
|
242
|
|
|
|
|
2656
|
return $asn1->encode( r => $r, s => $s ); |
265
|
|
|
|
|
|
|
} |
266
|
|
|
|
|
|
|
|
267
|
|
|
|
|
|
|
1; |