483 lines
20 KiB
Perl
483 lines
20 KiB
Perl
package Crypt::PK::DH;
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use strict;
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use warnings;
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our $VERSION = '0.058_002';
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require Exporter; our @ISA = qw(Exporter); ### use Exporter 'import';
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our %EXPORT_TAGS = ( all => [qw( dh_shared_secret )] );
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our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} } );
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our @EXPORT = qw();
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use Carp;
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use CryptX;
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use Crypt::Digest 'digest_data';
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use Crypt::Misc qw(read_rawfile pem_to_der);
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my %DH_PARAMS = (
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ike768 => { g => 2, p => 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'.
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD'.
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'.
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'E485B576625E7EC6F44C42E9A63A3620FFFFFFFFFFFFFFFF'
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},
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ike1024 => { g => 2, p => 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'.
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD'.
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'.
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'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'.
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'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381'.
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'FFFFFFFFFFFFFFFF'
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},
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ike1536 => { g => 2, p => 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'.
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD'.
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'.
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'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'.
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'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'.
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'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'.
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'83655D23DCA3AD961C62F356208552BB9ED529077096966D'.
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'670C354E4ABC9804F1746C08CA237327FFFFFFFFFFFFFFFF'
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},
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ike2048 => { g => 2, p => 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'.
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD'.
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'.
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'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'.
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'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'.
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'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'.
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'83655D23DCA3AD961C62F356208552BB9ED529077096966D'.
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'670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'.
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'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'.
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'DE2BCBF6955817183995497CEA956AE515D2261898FA0510'.
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'15728E5A8AACAA68FFFFFFFFFFFFFFFF'
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},
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ike3072 => { g => 2, p => 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'.
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD'.
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'.
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'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'.
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'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'.
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'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'.
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'83655D23DCA3AD961C62F356208552BB9ED529077096966D'.
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'670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'.
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'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'.
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'DE2BCBF6955817183995497CEA956AE515D2261898FA0510'.
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'15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'.
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'ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'.
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'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'.
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'F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'.
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'BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'.
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'43DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF'
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},
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ike4096 => { g => 2, p => 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'.
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD'.
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'.
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'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'.
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'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'.
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'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'.
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'83655D23DCA3AD961C62F356208552BB9ED529077096966D'.
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'670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'.
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'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'.
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'DE2BCBF6955817183995497CEA956AE515D2261898FA0510'.
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'15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'.
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'ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'.
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'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'.
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'F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'.
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'BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'.
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'43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7'.
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'88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA'.
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'2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6'.
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'287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED'.
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'1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9'.
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'93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199'.
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'FFFFFFFFFFFFFFFF'
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},
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ike6144 => { g => 2, p => 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'.
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD'.
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'.
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'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'.
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'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'.
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'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'.
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'83655D23DCA3AD961C62F356208552BB9ED529077096966D'.
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'670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'.
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'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'.
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'DE2BCBF6955817183995497CEA956AE515D2261898FA0510'.
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'15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'.
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'ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'.
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'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'.
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'F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'.
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'BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'.
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'43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7'.
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'88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA'.
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'2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6'.
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'287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED'.
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'1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9'.
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'93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492'.
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'36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BD'.
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'F8FF9406AD9E530EE5DB382F413001AEB06A53ED9027D831'.
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'179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B'.
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'DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF'.
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'5983CA01C64B92ECF032EA15D1721D03F482D7CE6E74FEF6'.
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'D55E702F46980C82B5A84031900B1C9E59E7C97FBEC7E8F3'.
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'23A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA'.
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'CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE328'.
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'06A1D58BB7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55C'.
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'DA56C9EC2EF29632387FE8D76E3C0468043E8F663F4860EE'.
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'12BF2D5B0B7474D6E694F91E6DCC4024FFFFFFFFFFFFFFFF'
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},
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ike8192 => { g => 2, p => 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'.
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD'.
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'.
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'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'.
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'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'.
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'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'.
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'83655D23DCA3AD961C62F356208552BB9ED529077096966D'.
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'670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'.
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'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'.
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'DE2BCBF6955817183995497CEA956AE515D2261898FA0510'.
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'15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'.
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'ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'.
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'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'.
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'F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'.
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'BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'.
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'43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7'.
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'88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA'.
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'2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6'.
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'287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED'.
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'1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9'.
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'93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492'.
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'36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BD'.
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'F8FF9406AD9E530EE5DB382F413001AEB06A53ED9027D831'.
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'179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B'.
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'DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF'.
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'5983CA01C64B92ECF032EA15D1721D03F482D7CE6E74FEF6'.
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'D55E702F46980C82B5A84031900B1C9E59E7C97FBEC7E8F3'.
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'23A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA'.
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'CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE328'.
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'06A1D58BB7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55C'.
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'DA56C9EC2EF29632387FE8D76E3C0468043E8F663F4860EE'.
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'12BF2D5B0B7474D6E694F91E6DBE115974A3926F12FEE5E4'.
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'38777CB6A932DF8CD8BEC4D073B931BA3BC832B68D9DD300'.
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'741FA7BF8AFC47ED2576F6936BA424663AAB639C5AE4F568'.
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'3423B4742BF1C978238F16CBE39D652DE3FDB8BEFC848AD9'.
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'22222E04A4037C0713EB57A81A23F0C73473FC646CEA306B'.
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'4BCBC8862F8385DDFA9D4B7FA2C087E879683303ED5BDD3A'.
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'062B3CF5B3A278A66D2A13F83F44F82DDF310EE074AB6A36'.
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'4597E899A0255DC164F31CC50846851DF9AB48195DED7EA1'.
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'B1D510BD7EE74D73FAF36BC31ECFA268359046F4EB879F92'.
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'4009438B481C6CD7889A002ED5EE382BC9190DA6FC026E47'.
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'9558E4475677E9AA9E3050E2765694DFC81F56E880B96E71'.
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'60C980DD98EDD3DFFFFFFFFFFFFFFFFF'
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}
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);
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sub new {
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my $self = shift->_new();
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return @_ > 0 ? $self->import_key(@_) : $self;
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}
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sub import_key {
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my ($self, $key) = @_;
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croak "FATAL: undefined key" unless $key;
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my $data;
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if (ref($key) eq 'SCALAR') {
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$data = $$key;
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}
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elsif (-f $key) {
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$data = read_rawfile($key);
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}
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else {
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croak "FATAL: non-existing file '$key'";
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}
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croak "FATAL: invalid key format" unless $data;
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return $self->_import($data);
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}
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sub import_key_raw {
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my ($self, $raw_bytes, $type, $param) = @_;
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my ($g, $p, $x, $y);
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if (ref $param eq 'HASH') {
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$g = $param->{g} or croak "FATAL: 'g' param not specified";
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$p = $param->{p} or croak "FATAL: 'p' param not specified";
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$g =~ s/^0x//;
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$p =~ s/^0x//;
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} elsif (my $dhparam = $DH_PARAMS{$param}) {
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$g = $dhparam->{g};
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$p = $dhparam->{p};
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} else {
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croak "FATAL: invalid parameter";
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}
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if ($type eq 'private') {
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$type = 1;
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} elsif ($type eq 'public') {
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$type = 0;
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} else {
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croak "FATAL: invalid key type '$type'";
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}
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my $rv = $self->_import_raw($raw_bytes, $type, $g, $p);
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return $rv;
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}
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sub generate_key {
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my ($self, $param) = @_;
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if (!ref $param) {
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# group name
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return $self->_generate_key_gp($DH_PARAMS{$param}{g}, $DH_PARAMS{$param}{p}) if $DH_PARAMS{$param};
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# size
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return $self->_generate_key_size($param) if $param && $param =~ /^[0-9]+/;
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}
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elsif (ref $param eq 'SCALAR') {
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my $data = $$param;
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$data = pem_to_der($data) if $data =~ /-----BEGIN DH PARAMETERS-----\s*(.+)\s*-----END DH PARAMETERS-----/s;
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return $self->_generate_key_dhparam($data);
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}
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elsif (ref $param eq 'HASH') {
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my $g = $param->{g} or croak "FATAL: 'g' param not specified";
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my $p = $param->{p} or croak "FATAL: 'p' param not specified";
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$g =~ s/^0x//;
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$p =~ s/^0x//;
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return $self->_generate_key_gp($g, $p);
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}
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croak "FATAL: DH generate_key - invalid args";
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}
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### FUNCTIONS
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sub dh_shared_secret {
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my ($privkey, $pubkey) = @_;
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$privkey = __PACKAGE__->new($privkey) unless ref $privkey;
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$pubkey = __PACKAGE__->new($pubkey) unless ref $pubkey;
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carp "FATAL: invalid 'privkey' param" unless ref($privkey) eq __PACKAGE__ && $privkey->is_private;
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carp "FATAL: invalid 'pubkey' param" unless ref($pubkey) eq __PACKAGE__;
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return $privkey->shared_secret($pubkey);
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}
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sub CLONE_SKIP { 1 } # prevent cloning
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### DEPRECATED functions/methods
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sub encrypt { croak "Crypt::DH::encrypt is deprecated (removed in v0.049)" }
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sub decrypt { croak "Crypt::DH::decrypt is deprecated (removed in v0.049)" }
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sub sign_message { croak "Crypt::DH::sign_message is deprecated (removed in v0.049)" }
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sub verify_message { croak "Crypt::DH::verify_message is deprecated (removed in v0.049)" }
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sub sign_hash { croak "Crypt::DH::sign_hash is deprecated (removed in v0.049)" }
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sub verify_hash { croak "Crypt::DH::verify_hash is deprecated (removed in v0.049)" }
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sub dh_encrypt { croak "Crypt::DH::dh_encrypt is deprecated (removed in v0.049)" }
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sub dh_decrypt { croak "Crypt::DH::dh_decrypt is deprecated (removed in v0.049)" }
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sub dh_sign_message { croak "Crypt::DH::dh_sign_message is deprecated (removed in v0.049)" }
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sub dh_verify_message { croak "Crypt::DH::dh_verify_message is deprecated (removed in v0.049)" }
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sub dh_sign_hash { croak "Crypt::DH::dh_sign_hash is deprecated (removed in v0.049)" }
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sub dh_verify_hash { croak "Crypt::DH::dh_verify_hash is deprecated (removed in v0.049)" }
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1;
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=pod
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=head1 NAME
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Crypt::PK::DH - Public key cryptography based on Diffie-Hellman
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=head1 SYNOPSIS
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### OO interface
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#Shared secret
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my $priv = Crypt::PK::DH->new('Alice_priv_dh1.key');
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my $pub = Crypt::PK::DH->new('Bob_pub_dh1.key');
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my $shared_secret = $priv->shared_secret($pub);
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#Key generation
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my $pk = Crypt::PK::DH->new();
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$pk->generate_key(128);
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my $private = $pk->export_key('private');
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my $public = $pk->export_key('public');
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or
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my $pk = Crypt::PK::DH->new();
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$pk->generate_key('ike2048');
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my $private = $pk->export_key('private');
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my $public = $pk->export_key('public');
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or
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my $pk = Crypt::PK::DH->new();
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$pk->generate_key({ p => $p, g => $g });
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my $private = $pk->export_key('private');
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my $public = $pk->export_key('public');
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### Functional interface
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#Shared secret
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my $shared_secret = dh_shared_secret('Alice_priv_dh1.key', 'Bob_pub_dh1.key');
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|
=head1 METHODS
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|
|
|
=head2 new
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|
|
|
my $pk = Crypt::PK::DH->new();
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#or
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|
my $pk = Crypt::PK::DH->new($priv_or_pub_key_filename);
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|
#or
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|
my $pk = Crypt::PK::DH->new(\$buffer_containing_priv_or_pub_key);
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|
|
|
=head2 generate_key
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|
|
|
Uses Yarrow-based cryptographically strong random number generator seeded with
|
|
random data taken from C</dev/random> (UNIX) or C<CryptGenRandom> (Win32).
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|
|
|
$pk->generate_key($groupsize);
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|
### $groupsize (in bytes) corresponds to DH parameters (p, g) predefined by libtomcrypt
|
|
# 96 => DH-768
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|
# 128 => DH-1024
|
|
# 192 => DH-1536
|
|
# 256 => DH-2048
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|
# 384 => DH-3072
|
|
# 512 => DH-4096
|
|
# 768 => DH-6144
|
|
# 1024 => DH-8192
|
|
|
|
The following variants are available since CryptX-0.032
|
|
|
|
$pk->generate_key($groupname)
|
|
### $groupname corresponds to values defined in RFC7296 and RFC3526
|
|
# 'ike768' => 768-bit MODP (Group 1)
|
|
# 'ike1024' => 1024-bit MODP (Group 2)
|
|
# 'ike1536' => 1536-bit MODP (Group 5)
|
|
# 'ike2048' => 2048-bit MODP (Group 14)
|
|
# 'ike3072' => 3072-bit MODP (Group 15)
|
|
# 'ike4096' => 4096-bit MODP (Group 16)
|
|
# 'ike6144' => 6144-bit MODP (Group 17)
|
|
# 'ike8192' => 8192-bit MODP (Group 18)
|
|
|
|
$pk->generate_key($param_hash)
|
|
# $param_hash is { g => $g, p => $p }
|
|
# where $g is the generator (base) in a hex string and $p is the prime in a hex string
|
|
|
|
$pk->generate_key(\$dh_param)
|
|
# $dh_param is the content of DER or PEM file with DH parameters
|
|
# e.g. openssl dhparam 2048
|
|
|
|
=head2 import_key
|
|
|
|
Loads private or public key (exported by L</export_key>).
|
|
|
|
$pk->import_key($filename);
|
|
#or
|
|
$pk->import_key(\$buffer_containing_key);
|
|
|
|
=head2 import_key_raw
|
|
|
|
I<Since: CryptX-0.032>
|
|
|
|
$pk->import_key_raw($raw_bytes, $type, $params)
|
|
### $raw_bytes is a binary string containing the key
|
|
### $type is either 'private' or 'public'
|
|
### $param is either a name ('ike2038') or hash containing the p,g values { g=>$g, p=>$p }
|
|
### in hex strings
|
|
|
|
=head2 export_key
|
|
|
|
B<BEWARE:> DH key format change - since v0.049 it is compatible with libtomcrypt 1.18.
|
|
|
|
my $private = $pk->export_key('private');
|
|
#or
|
|
my $public = $pk->export_key('public');
|
|
|
|
=head2 export_key_raw
|
|
|
|
I<Since: CryptX-0.032>
|
|
|
|
$raw_bytes = $dh->export_key_raw('public')
|
|
#or
|
|
$raw_bytes = $dh->export_key_raw('private')
|
|
|
|
=head2 shared_secret
|
|
|
|
# Alice having her priv key $pk and Bob's public key $pkb
|
|
my $pk = Crypt::PK::DH->new($priv_key_filename);
|
|
my $pkb = Crypt::PK::DH->new($pub_key_filename);
|
|
my $shared_secret = $pk->shared_secret($pkb);
|
|
|
|
# Bob having his priv key $pk and Alice's public key $pka
|
|
my $pk = Crypt::PK::DH->new($priv_key_filename);
|
|
my $pka = Crypt::PK::DH->new($pub_key_filename);
|
|
my $shared_secret = $pk->shared_secret($pka); # same value as computed by Alice
|
|
|
|
=head2 is_private
|
|
|
|
my $rv = $pk->is_private;
|
|
# 1 .. private key loaded
|
|
# 0 .. public key loaded
|
|
# undef .. no key loaded
|
|
|
|
=head2 size
|
|
|
|
my $size = $pk->size;
|
|
# returns key size in bytes or undef if no key loaded
|
|
|
|
=head2 key2hash
|
|
|
|
my $hash = $pk->key2hash;
|
|
|
|
# returns hash like this (or undef if no key loaded):
|
|
{
|
|
type => 0, # integer: 1 .. private, 0 .. public
|
|
size => 256, # integer: key size in bytes
|
|
x => "FBC1062F73B9A17BB8473A2F5A074911FA7F20D28FB...", #private key
|
|
y => "AB9AAA40774D3CD476B52F82E7EE2D8A8D40CD88BF4...", #public key
|
|
g => "2", # generator/base
|
|
p => "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80D...", # prime
|
|
}
|
|
|
|
=head2 params2hash
|
|
|
|
I<Since: CryptX-0.032>
|
|
|
|
my $params = $pk->params2hash;
|
|
|
|
# returns hash like this (or undef if no key loaded):
|
|
{
|
|
g => "2", # generator/base
|
|
p => "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80D...", # prime
|
|
}
|
|
|
|
=head1 FUNCTIONS
|
|
|
|
=head2 dh_shared_secret
|
|
|
|
DH based shared secret generation. See method L</shared_secret> below.
|
|
|
|
#on Alice side
|
|
my $shared_secret = dh_shared_secret('Alice_priv_dh1.key', 'Bob_pub_dh1.key');
|
|
|
|
#on Bob side
|
|
my $shared_secret = dh_shared_secret('Bob_priv_dh1.key', 'Alice_pub_dh1.key');
|
|
|
|
=head1 DEPRECATED INTERFACE
|
|
|
|
The following functions/methods were removed in removed in v0.049:
|
|
|
|
encrypt
|
|
decrypt
|
|
sign_message
|
|
verify_message
|
|
sign_hash
|
|
verify_hash
|
|
|
|
dh_encrypt
|
|
dh_decrypt
|
|
dh_sign_message
|
|
dh_verify_message
|
|
dh_sign_hash
|
|
dh_verify_hash
|
|
|
|
=head1 SEE ALSO
|
|
|
|
=over
|
|
|
|
=item * L<https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange|https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange>
|
|
|
|
=back
|
|
|
|
=cut
|