mce_qd: remove obsolete MCE-QD encryption
This commit is contained in:
parent
77c626aab2
commit
8e608b4d8d
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@ -28,16 +28,6 @@ void fill_algorithm_suite (algorithm_suite&s)
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#define do_alg(x) static x var_##x ; var_##x.register_into_suite(s);
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#if HAVE_CRYPTOPP==1
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do_alg (algo_mceqd128);
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do_alg (algo_mceqd192);
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do_alg (algo_mceqd256);
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do_alg (algo_mceqd128cha);
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do_alg (algo_mceqd192cha);
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do_alg (algo_mceqd256cha);
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do_alg (algo_mceqd128xs);
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do_alg (algo_mceqd192xs);
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do_alg (algo_mceqd256xs);
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do_alg (algo_mceqcmdpc128);
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do_alg (algo_mceqcmdpc256);
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do_alg (algo_mceqcmdpc128cha);
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@ -52,17 +42,6 @@ void fill_algorithm_suite (algorithm_suite&s)
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do_alg (algo_fmtseq192h20);
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do_alg (algo_fmtseq256h20);
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#endif //HAVE_CRYPTOPP==1
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do_alg (algo_mceqd128cube);
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do_alg (algo_mceqd192cube);
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do_alg (algo_mceqd256cube);
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do_alg (algo_mceqd128cubecha);
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do_alg (algo_mceqd192cubecha);
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do_alg (algo_mceqd256cubecha);
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do_alg (algo_mceqd128cubexs);
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do_alg (algo_mceqd192cubexs);
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do_alg (algo_mceqd256cubexs);
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do_alg (algo_mceqcmdpc128cube);
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do_alg (algo_mceqcmdpc256cube);
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do_alg (algo_mceqcmdpc128cubecha);
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@ -20,7 +20,6 @@
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#include "algos_enc.h"
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#include "mce_qd.h"
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#include "mce_qcmdpc.h"
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#include "arcfour.h"
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#include "chacha.h"
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@ -38,20 +37,6 @@ typedef arcfour<byte, 8, 4096> arcfour_fo_cipher;
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* keygen
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*/
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template<int m, int T, int b, int d>
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static int mceqd_create_keypair (sencode**pub, sencode**priv, prng&rng)
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{
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mce_qd::pubkey Pub;
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mce_qd::privkey Priv;
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if (mce_qd::generate (Pub, Priv, rng, m, T, b, d))
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return 1;
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*pub = Pub.serialize();
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*priv = Priv.serialize();
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return 0;
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}
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template<int bs, int bc, int wi, int t, int rounds, int delta>
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static int mceqcmdpc_create_keypair (sencode**pub, sencode**priv, prng&rng)
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{
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@ -488,88 +473,3 @@ mceqcmdpc_create_encdec_func (128cubecha, 9857, 2, 134, cube256hash, cube128hash
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mceqcmdpc_create_encdec_func (256cubecha, 32771, 2, 264, cube512hash, cube256hash, chacha20, 2475)
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mceqcmdpc_create_encdec_func (128cubexs, 9857, 2, 134, cube256hash, cube128hash, xsynd, 1152)
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mceqcmdpc_create_encdec_func (256cubexs, 32771, 2, 264, cube512hash, cube256hash, xsynd, 2475)
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/*
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* Instances for MCE-QD algorithms
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*/
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#define mceqd_create_keypair_func(name,m,T,b,d) \
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int algo_mceqd##name::create_keypair (sencode**pub, sencode**priv, prng&rng) \
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{ \
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return mceqd_create_keypair<m, T, b, d> (pub, priv, rng); \
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}
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#if HAVE_CRYPTOPP==1
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mceqd_create_keypair_func (128, 16, 7, 32, 4)
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mceqd_create_keypair_func (192, 16, 8, 27, 4)
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mceqd_create_keypair_func (256, 16, 8, 32, 4)
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mceqd_create_keypair_func (128cha, 16, 7, 32, 4)
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mceqd_create_keypair_func (192cha, 16, 8, 27, 4)
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mceqd_create_keypair_func (256cha, 16, 8, 32, 4)
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mceqd_create_keypair_func (128xs, 16, 7, 32, 4)
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mceqd_create_keypair_func (192xs, 16, 8, 27, 4)
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mceqd_create_keypair_func (256xs, 16, 8, 32, 4)
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#endif //HAVE_CRYPTOPP==1
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mceqd_create_keypair_func (128cube, 16, 7, 32, 4)
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mceqd_create_keypair_func (192cube, 16, 8, 27, 4)
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mceqd_create_keypair_func (256cube, 16, 8, 32, 4)
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mceqd_create_keypair_func (128cubecha, 16, 7, 32, 4)
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mceqd_create_keypair_func (192cubecha, 16, 8, 27, 4)
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mceqd_create_keypair_func (256cubecha, 16, 8, 32, 4)
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mceqd_create_keypair_func (128cubexs, 16, 7, 32, 4)
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mceqd_create_keypair_func (192cubexs, 16, 8, 27, 4)
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mceqd_create_keypair_func (256cubexs, 16, 8, 32, 4)
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#define mceqd_create_encdec_func(name,plainsize,ciphersize,errcount, hash_type,pad_hash_type,scipher,ranksize) \
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int algo_mceqd##name::encrypt (const bvector&plain, bvector&cipher, \
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sencode* pubkey, prng&rng) \
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{ \
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return fo_encrypt \
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< mce_qd::pubkey, \
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plainsize, ciphersize, errcount, \
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hash_type, \
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pad_hash_type, \
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scipher, \
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ranksize > \
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(plain, cipher, pubkey, rng); \
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} \
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int algo_mceqd##name::decrypt (const bvector&cipher, bvector&plain, \
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sencode* privkey) \
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{ \
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return fo_decrypt \
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< mce_qd::privkey, \
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plainsize, ciphersize, errcount, \
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hash_type, \
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pad_hash_type, \
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scipher, \
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ranksize > \
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(cipher, plain, privkey); \
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}
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#if HAVE_CRYPTOPP==1
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mceqd_create_encdec_func (128, 2048, 4096, 128, sha256hash, rmd128hash, arcfour_fo_cipher, 816)
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mceqd_create_encdec_func (192, 2816, 6912, 256, sha384hash, rmd128hash, arcfour_fo_cipher, 1574)
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mceqd_create_encdec_func (256, 4096, 8192, 256, sha512hash, rmd128hash, arcfour_fo_cipher, 1638)
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mceqd_create_encdec_func (128cha, 2048, 4096, 128, sha256hash, rmd128hash, chacha20, 816)
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mceqd_create_encdec_func (192cha, 2816, 6912, 256, sha384hash, rmd128hash, chacha20, 1574)
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mceqd_create_encdec_func (256cha, 4096, 8192, 256, sha512hash, rmd128hash, chacha20, 1638)
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mceqd_create_encdec_func (128xs, 2048, 4096, 128, sha256hash, rmd128hash, xsynd, 816)
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mceqd_create_encdec_func (192xs, 2816, 6912, 256, sha384hash, rmd128hash, xsynd, 1574)
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mceqd_create_encdec_func (256xs, 4096, 8192, 256, sha512hash, rmd128hash, xsynd, 1638)
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#endif //HAVE_CRYPTOPP==1
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mceqd_create_encdec_func (128cube, 2048, 4096, 128, cube256hash, cube128hash, arcfour_fo_cipher, 816)
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mceqd_create_encdec_func (192cube, 2816, 6912, 256, cube384hash, cube128hash, arcfour_fo_cipher, 1574)
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mceqd_create_encdec_func (256cube, 4096, 8192, 256, cube512hash, cube128hash, arcfour_fo_cipher, 1638)
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mceqd_create_encdec_func (128cubecha, 2048, 4096, 128, cube256hash, cube128hash, chacha20, 816)
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mceqd_create_encdec_func (192cubecha, 2816, 6912, 256, cube384hash, cube128hash, chacha20, 1574)
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mceqd_create_encdec_func (256cubecha, 4096, 8192, 256, cube512hash, cube128hash, chacha20, 1638)
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mceqd_create_encdec_func (128cubexs, 2048, 4096, 128, cube256hash, cube128hash, xsynd, 816)
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mceqd_create_encdec_func (192cubexs, 2816, 6912, 256, cube384hash, cube128hash, xsynd, 1574)
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mceqd_create_encdec_func (256cubexs, 4096, 8192, 256, cube512hash, cube128hash, xsynd, 1638)
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@ -49,16 +49,6 @@ public: \
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* SHA-based variants
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*/
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mce_alg_class (qd128, "MCEQD128FO-SHA256-ARCFOUR");
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mce_alg_class (qd192, "MCEQD192FO-SHA384-ARCFOUR");
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mce_alg_class (qd256, "MCEQD256FO-SHA512-ARCFOUR");
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mce_alg_class (qd128cha, "MCEQD128FO-SHA256-CHACHA20");
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mce_alg_class (qd192cha, "MCEQD192FO-SHA384-CHACHA20");
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mce_alg_class (qd256cha, "MCEQD256FO-SHA512-CHACHA20");
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mce_alg_class (qd128xs, "MCEQD128FO-SHA256-XSYND");
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mce_alg_class (qd192xs, "MCEQD192FO-SHA384-XSYND");
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mce_alg_class (qd256xs, "MCEQD256FO-SHA512-XSYND");
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mce_alg_class (qcmdpc128, "MCEQCMDPC128FO-SHA256-ARCFOUR");
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mce_alg_class (qcmdpc256, "MCEQCMDPC256FO-SHA512-ARCFOUR");
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mce_alg_class (qcmdpc128cha, "MCEQCMDPC128FO-SHA256-CHACHA20");
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@ -72,16 +62,6 @@ mce_alg_class (qcmdpc256xs, "MCEQCMDPC256FO-SHA512-XSYND");
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* Cubehash-based variants
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*/
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mce_alg_class (qd128cube, "MCEQD128FO-CUBE256-ARCFOUR");
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mce_alg_class (qd192cube, "MCEQD192FO-CUBE384-ARCFOUR");
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mce_alg_class (qd256cube, "MCEQD256FO-CUBE512-ARCFOUR");
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mce_alg_class (qd128cubecha, "MCEQD128FO-CUBE256-CHACHA20");
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mce_alg_class (qd192cubecha, "MCEQD192FO-CUBE384-CHACHA20");
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mce_alg_class (qd256cubecha, "MCEQD256FO-CUBE512-CHACHA20");
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mce_alg_class (qd128cubexs, "MCEQD128FO-CUBE256-XSYND");
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mce_alg_class (qd192cubexs, "MCEQD192FO-CUBE384-XSYND");
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mce_alg_class (qd256cubexs, "MCEQD256FO-CUBE512-XSYND");
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mce_alg_class (qcmdpc128cube, "MCEQCMDPC128FO-CUBE256-ARCFOUR");
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mce_alg_class (qcmdpc256cube, "MCEQCMDPC256FO-CUBE512-ARCFOUR");
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mce_alg_class (qcmdpc128cubecha, "MCEQCMDPC128FO-CUBE256-CHACHA20");
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123
src/decoding.cpp
123
src/decoding.cpp
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@ -1,123 +0,0 @@
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/*
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* This file is part of Codecrypt.
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*
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* Copyright (C) 2013-2016 Mirek Kratochvil <exa.exa@gmail.com>
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*
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* Codecrypt is free software: you can redistribute it and/or modify it
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* under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or (at
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* your option) any later version.
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*
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* Codecrypt is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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* License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with Codecrypt. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include "decoding.h"
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void compute_alternant_error_locator (polynomial&syndrome, gf2m&fld,
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uint t, polynomial&out)
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{
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if (syndrome.zero()) {
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//ensure no roots
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out.resize (1);
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out[0] = 1;
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return;
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}
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polynomial a, b;
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polynomial x2t; //should be x^2t
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x2t.clear();
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x2t.resize (1, 1);
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x2t.shift (2 * t);
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syndrome.ext_euclid (a, b, x2t, fld, t - 1);
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uint b0inv = fld.inv (b[0]);
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for (uint i = 0; i < b.size(); ++i) b[i] = fld.mult (b[i], b0inv);
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out = b;
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//we don't care about error evaluator
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}
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/*
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* berlekamp trace algorithm - we puncture roots of incoming polynomial into
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* the vector of size fld.n
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*
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* Inspired by implementation from HyMES.
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*/
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#include <set>
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bool evaluate_error_locator_trace (polynomial&sigma, bvector&ev, gf2m&fld)
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{
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ev.clear();
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ev.resize (fld.n, 0);
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std::vector<polynomial> trace_aux, trace; //trace cache
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trace_aux.resize (fld.m);
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trace.resize (fld.m);
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trace_aux[0] = polynomial();
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trace_aux[0].resize (2, 0);
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trace_aux[0][1] = 1; //trace_aux[0] = x
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trace[0] = trace_aux[0]; //trace[0] = x
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for (uint i = 1; i < fld.m; ++i) {
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trace_aux[i] = trace_aux[i - 1];
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trace_aux[i].square (fld);
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trace_aux[i].mod (sigma, fld);
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trace[0].add (trace_aux[i], fld);
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}
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std::set<std::pair<uint, polynomial> > stk; //"stack"
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stk.insert (make_pair (0, sigma));
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bool failed = false;
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while (!stk.empty()) {
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uint i = stk.begin()->first;
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polynomial cur = stk.begin()->second;
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stk.erase (stk.begin());
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int deg = cur.degree();
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if (deg <= 0) continue;
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if (deg == 1) { //found a linear factor
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ev[fld.mult (cur[0], fld.inv (cur[1])) ] = 1;
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continue;
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}
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if (i >= fld.m) {
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failed = true;
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continue;
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}
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if (trace[i].zero()) {
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//compute the trace if it isn't cached
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uint a = fld.exp (i);
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for (uint j = 0; j < fld.m; ++j) {
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trace[i].add_mult (trace_aux[j], a, fld);
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a = fld.mult (a, a);
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}
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}
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polynomial t;
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t = cur.gcd (trace[i], fld);
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polynomial q, r;
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cur.divmod (t, q, r, fld);
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stk.insert (make_pair (i + 1, t));
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stk.insert (make_pair (i + 1, q));
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}
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return !failed;
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}
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470
src/mce_qd.cpp
470
src/mce_qd.cpp
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@ -1,470 +0,0 @@
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/*
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* This file is part of Codecrypt.
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*
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* Copyright (C) 2013-2016 Mirek Kratochvil <exa.exa@gmail.com>
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*
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* Codecrypt is free software: you can redistribute it and/or modify it
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* under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or (at
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* your option) any later version.
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*
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* Codecrypt is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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* License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with Codecrypt. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include "mce_qd.h"
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using namespace mce_qd;
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#include "decoding.h"
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#include "qd_utils.h"
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#include "iohelpers.h"
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#include <set>
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static void print_attack_warning()
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{
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static bool printed = false;
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if (printed) return;
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err ("\n***MCEQD SECURITY WARNING***\n\n"
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"Security of the QD-McEliece variant was greatly reduced to less than 2^30\n"
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"by an algebraic attack! The functions are kept only for compatibility\n"
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"and will be removed soon. Use `-g help' for other encryption variants.");
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printed = true;
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}
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int mce_qd::generate (pubkey&pub, privkey&priv, prng&rng,
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uint m, uint T, uint block_count, uint block_discard)
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{
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print_attack_warning();
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//convenience
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gf2m&fld = priv.fld;
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std::vector<uint>&essence = priv.essence;
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//initial stuff and sizes
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fld.create (m);
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priv.T = T;
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uint t = 1 << T,
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block_size = t,
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h_block_count = block_count + block_discard,
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n = h_block_count * t;
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if (block_count <= m) return 2; //lower bound on block_count
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if (n > fld.n / 2) return 2; //n <= q/2
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std::vector<uint> support, Hsig;
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polynomial g;
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uint i, j;
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//prepare data arrays
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Hsig.resize (n);
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support.resize (n);
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essence.resize (m);
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//retry generating until goppa code is produced.
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for (;;) {
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std::set<uint> used;
|
||||
used.clear();
|
||||
|
||||
//first off, compute the H signature
|
||||
|
||||
Hsig[0] = choose_random (fld.n, rng, used);
|
||||
essence[m - 1] = fld.inv (Hsig[0]);
|
||||
//essence[m-1] is now used as precomputed 1/h_0
|
||||
|
||||
for (uint s = 0; ( (uint) 1 << s) < n; ++s) {
|
||||
i = 1 << s; //i = 2^s
|
||||
|
||||
Hsig[i] = choose_random (fld.n, rng, used);
|
||||
essence[s] = fld.add (essence[m - 1], fld.inv (Hsig[i]));
|
||||
used.insert (fld.inv (essence[s]));
|
||||
|
||||
for (j = 1; j < i; ++j) {
|
||||
if (i + j >= n) break;
|
||||
Hsig[i + j] = fld.inv
|
||||
(fld.add
|
||||
(fld.inv (Hsig[i]),
|
||||
fld.add (
|
||||
fld.inv (Hsig[j]),
|
||||
essence[m - 1]
|
||||
)));
|
||||
used.insert (Hsig[i + j]);
|
||||
used.insert (fld.inv
|
||||
(fld.add
|
||||
(fld.inv (Hsig[i + j]),
|
||||
essence[m - 1])));
|
||||
}
|
||||
}
|
||||
|
||||
//assemble goppa polynomial.
|
||||
used.clear();
|
||||
|
||||
g.clear();
|
||||
g.resize (1, 1); //g(x)=1 so we can multiply it
|
||||
polynomial tmp;
|
||||
tmp.resize (2, 1); //tmp(x)=x-1
|
||||
bool consistent = true;
|
||||
for (i = 0; i < t; ++i) {
|
||||
//tmp(x)=x-z=x-(1/h_i)
|
||||
tmp[0] = fld.inv (Hsig[i]);
|
||||
if (used.count (tmp[0])) {
|
||||
consistent = false;
|
||||
break;
|
||||
}
|
||||
used.insert (tmp[0]);
|
||||
|
||||
g.mult (tmp, fld);
|
||||
}
|
||||
if (!consistent) continue; //retry
|
||||
|
||||
//compute the support, retry if it has two equal elements.
|
||||
for (i = 0; i < n; ++i) {
|
||||
support[i] = fld.add (
|
||||
fld.inv (Hsig[i]),
|
||||
essence[m - 1]);
|
||||
|
||||
if (used.count (support[i])) {
|
||||
consistent = false;
|
||||
break;
|
||||
}
|
||||
|
||||
used.insert (support[i]);
|
||||
}
|
||||
if (!consistent) continue; //retry
|
||||
|
||||
//now the blocks. First assemble blocks to bl
|
||||
std::vector<polynomial> bl, blp;
|
||||
bl.resize (h_block_count);
|
||||
for (i = 0; i < h_block_count; ++i) {
|
||||
bl[i].resize (block_size);
|
||||
for (j = 0; j < block_size; ++j)
|
||||
bl[i][j] = Hsig[i * block_size + j];
|
||||
}
|
||||
|
||||
//permute them
|
||||
priv.block_perm.generate_random (h_block_count, rng);
|
||||
priv.block_perm.permute (bl, blp);
|
||||
|
||||
//discard blocks
|
||||
blp.resize (block_count);
|
||||
|
||||
//permute individual blocks
|
||||
priv.block_perms.resize (block_count);
|
||||
bl.resize (blp.size());
|
||||
for (i = 0; i < block_count; ++i) {
|
||||
priv.block_perms[i] = rng.random (block_size);
|
||||
permutation::permute_dyadic (priv.block_perms[i],
|
||||
blp[i], bl[i]);
|
||||
}
|
||||
|
||||
//try several permutations to construct G
|
||||
uint attempts = 0;
|
||||
for (attempts = 0; attempts < block_count; ++attempts) {
|
||||
|
||||
priv.hperm.generate_random (block_count, rng);
|
||||
permutation hpermInv;
|
||||
priv.hperm.compute_inversion (hpermInv);
|
||||
|
||||
std::vector<std::vector<bvector> > hblocks;
|
||||
bvector col;
|
||||
|
||||
//prepare blocks of h
|
||||
hblocks.resize (block_count);
|
||||
for (i = 0; i < block_count; ++i)
|
||||
hblocks[i].resize (fld.m);
|
||||
|
||||
//fill them from Hsig
|
||||
for (i = 0; i < block_count; ++i) {
|
||||
col.from_poly_cotrace (bl[hpermInv[i]], fld);
|
||||
for (j = 0; j < fld.m; ++j)
|
||||
col.get_block (j * block_size,
|
||||
block_size,
|
||||
hblocks[i][j]);
|
||||
}
|
||||
|
||||
/* do a modified QD-blockwise gaussian elimination on hblocks.
|
||||
* If it fails, retry. */
|
||||
if (!qd_to_right_echelon_form (hblocks)) continue;
|
||||
|
||||
pub.qd_sigs.resize2 (block_count - fld.m,
|
||||
block_size * fld.m, 0);
|
||||
for (i = 0; i < block_count - fld.m; ++i) {
|
||||
for (j = 0; j < fld.m; ++j)
|
||||
pub.qd_sigs[i].set_block
|
||||
(hblocks[i][j], block_size * j);
|
||||
}
|
||||
|
||||
break;
|
||||
}
|
||||
|
||||
if (attempts == block_count) //generating G failed, retry all
|
||||
continue;
|
||||
|
||||
//finish the pubkey
|
||||
pub.T = T;
|
||||
|
||||
return 0;
|
||||
}
|
||||
}
|
||||
|
||||
int privkey::prepare()
|
||||
{
|
||||
print_attack_warning();
|
||||
|
||||
uint s, i, j;
|
||||
std::vector<uint> Hsig, support;
|
||||
uint omega;
|
||||
|
||||
uint block_size = 1 << T,
|
||||
block_count = hperm.size(),
|
||||
h_block_count = block_perm.size(),
|
||||
n = h_block_count * block_size;
|
||||
|
||||
//compute H signature from essence
|
||||
Hsig.resize (n);
|
||||
Hsig[0] = fld.inv (essence[fld.m - 1]);
|
||||
for (s = 0; ( (uint) 1 << s) < n; ++s) {
|
||||
i = 1 << s; //i = 2^s
|
||||
|
||||
Hsig[i] = fld.inv (fld.add (essence[s], essence[fld.m - 1]));
|
||||
|
||||
for (j = 1; j < i; ++j) {
|
||||
if (i + j >= n) break;
|
||||
Hsig[i + j] = fld.inv
|
||||
(fld.add
|
||||
(fld.inv (Hsig[i]),
|
||||
fld.add (
|
||||
fld.inv (Hsig[j]),
|
||||
essence[fld.m - 1]
|
||||
)));
|
||||
}
|
||||
}
|
||||
|
||||
//goppa polynomial with omega=0
|
||||
std::set<uint> used;
|
||||
used.clear();
|
||||
|
||||
polynomial tmp;
|
||||
g.clear();
|
||||
g.resize (1, 1); //g(x)=1
|
||||
tmp.clear();
|
||||
tmp.resize (2, 1); //tmp(x)=x+1
|
||||
for (i = 0; i < block_size; ++i) {
|
||||
tmp[0] = fld.inv (Hsig[i]); //tmp(x)=x+1/h_i
|
||||
if (used.count (tmp[0]))
|
||||
return 1;
|
||||
used.insert (tmp[0]);
|
||||
g.mult (tmp, fld);
|
||||
}
|
||||
|
||||
//compute the support with omega=0
|
||||
support.resize (n);
|
||||
for (i = 0; i < n; ++i) {
|
||||
//don't check discarded support
|
||||
if (block_perm[i / block_size] >= block_count) continue;
|
||||
support[i] = fld.add
|
||||
(fld.inv (Hsig[i]),
|
||||
essence[fld.m - 1]);
|
||||
//support consistency check
|
||||
if (used.count (support[i]))
|
||||
return 1;
|
||||
used.insert (support[i]);
|
||||
}
|
||||
|
||||
//choose some omega
|
||||
omega = fld.n;
|
||||
for (i = 0; i < fld.n; ++i)
|
||||
if (!used.count (i)) {
|
||||
omega = i;
|
||||
break;
|
||||
}
|
||||
if (omega == fld.n) return 1;
|
||||
|
||||
//modify support to omega-ized version
|
||||
for (i = 0; i < support.size(); ++i)
|
||||
support[i] = fld.add (support[i], omega);
|
||||
|
||||
//modify g to omega-ized version
|
||||
g.clear();
|
||||
tmp.clear();
|
||||
g.resize (1, 1); //g(x)=1
|
||||
tmp.resize (2, 1); //tmp(x)=x+1
|
||||
for (i = 0; i < block_size; ++i) {
|
||||
tmp[0] = fld.add (fld.inv (Hsig[i]), omega);
|
||||
g.mult (tmp, fld);
|
||||
}
|
||||
|
||||
// prepare permuted support, from that prepare permuted check matrix
|
||||
// (so that it can be applied directly)
|
||||
uint pos, blk_perm;
|
||||
std::vector<uint> sbl1, sbl2;
|
||||
|
||||
sbl1.resize (block_size);
|
||||
sbl2.resize (block_size);
|
||||
permuted_support.resize (block_size * block_count);
|
||||
|
||||
//permute support
|
||||
for (i = 0; i < h_block_count; ++i) {
|
||||
pos = block_perm[i];
|
||||
if (pos >= block_count) continue; //was discarded
|
||||
blk_perm = block_perms[pos];
|
||||
pos = hperm[pos];
|
||||
|
||||
//permute i-th block of support
|
||||
for (j = 0; j < block_size; ++j)
|
||||
sbl1[j] = support[j + i * block_size];
|
||||
|
||||
permutation::permute_dyadic (blk_perm, sbl1, sbl2);
|
||||
|
||||
//store support to permuted support
|
||||
for (j = 0; j < block_size; ++j)
|
||||
permuted_support[j + pos * block_size] = sbl2[j];
|
||||
}
|
||||
|
||||
//convert the permuted support to actual lookup
|
||||
support_pos.clear();
|
||||
//fld.n in support lookup means that it isn't there (we don't have -1)
|
||||
support_pos.resize (fld.n, fld.n);
|
||||
for (i = 0; i < block_size * block_count; ++i)
|
||||
support_pos[permuted_support[i]] = i;
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
int pubkey::encrypt (const bvector& in, bvector&out, prng&rng)
|
||||
{
|
||||
uint s = cipher_size(),
|
||||
t = 1 << T;
|
||||
if (t > s) return 1;
|
||||
|
||||
//create error vector
|
||||
bvector e;
|
||||
e.resize (s, 0);
|
||||
for (uint n = t; n > 0;) {
|
||||
uint p = rng.random (s);
|
||||
if (!e[p]) {
|
||||
e[p] = 1;
|
||||
--n;
|
||||
}
|
||||
}
|
||||
return encrypt (in, out, e);
|
||||
}
|
||||
|
||||
int pubkey::encrypt (const bvector & in, bvector & out, const bvector&errors)
|
||||
{
|
||||
print_attack_warning();
|
||||
|
||||
uint t = 1 << T;
|
||||
bvector p, g, r, cksum;
|
||||
uint i, j;
|
||||
|
||||
/*
|
||||
* shortened checksum pair of G is computed blockwise accordingly to
|
||||
* the t-sized square dyadic blocks.
|
||||
*/
|
||||
|
||||
//some checks
|
||||
if (!qd_sigs.width()) return 1;
|
||||
if (qd_sigs.height() % t) return 1;
|
||||
if (in.size() != plain_size()) return 2;
|
||||
if (errors.size() != cipher_size()) return 2;
|
||||
|
||||
uint blocks = qd_sigs.height() / t;
|
||||
cksum.resize (qd_sigs.height(), 0);
|
||||
|
||||
p.resize (t);
|
||||
g.resize (t);
|
||||
r.resize (t);
|
||||
|
||||
std::vector<int> c1, c2, c3;
|
||||
c1.resize (t);
|
||||
c2.resize (t);
|
||||
c3.resize (t);
|
||||
|
||||
for (i = 0; i < qd_sigs.size(); ++i) {
|
||||
//plaintext block
|
||||
in.get_block (i * t, t, p);
|
||||
|
||||
for (j = 0; j < blocks; ++j) {
|
||||
//checksum block
|
||||
qd_sigs[i].get_block (j * t, t, g);
|
||||
|
||||
//block result
|
||||
fwht_dyadic_multiply (p, g, r, c1, c2, c3);
|
||||
cksum.add_offset (r, t * j);
|
||||
}
|
||||
}
|
||||
|
||||
//compute ciphertext
|
||||
out = in;
|
||||
out.append (cksum);
|
||||
out.add (errors);
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
int privkey::decrypt (const bvector & in, bvector & out)
|
||||
{
|
||||
bvector tmp_errors;
|
||||
return decrypt (in, out, tmp_errors);
|
||||
}
|
||||
|
||||
int privkey::decrypt (const bvector & in, bvector & out, bvector & errors)
|
||||
{
|
||||
print_attack_warning();
|
||||
|
||||
if (in.size() != cipher_size()) return 2;
|
||||
polynomial synd;
|
||||
uint i, tmp;
|
||||
|
||||
/*
|
||||
* compute the syndrome from alternant check matrix
|
||||
* that is H_alt = Vdm(L) * Diag(g(L_i)^{-2})
|
||||
*/
|
||||
uint h_size = 1 << (T + 1); //= 2*block_size
|
||||
synd.clear();
|
||||
synd.resize (h_size, 0);
|
||||
for (i = 0; i < cipher_size(); ++i) if (in[i]) {
|
||||
tmp = fld.inv_square //g(Li)^{-2}
|
||||
(g.eval (permuted_support[i], fld));
|
||||
fld.add_mults (tmp, permuted_support[i],
|
||||
synd.begin(), synd.end());
|
||||
}
|
||||
|
||||
//decoding
|
||||
polynomial loc;
|
||||
compute_alternant_error_locator (synd, fld, 1 << T, loc);
|
||||
|
||||
bool failed = false;
|
||||
bvector ev;
|
||||
if (!evaluate_error_locator_trace (loc, ev, fld))
|
||||
failed = true;
|
||||
|
||||
out = in;
|
||||
out.resize (plain_size());
|
||||
errors.clear();
|
||||
errors.resize (cipher_size(), 0);
|
||||
//flip error positions of out.
|
||||
for (i = 0; i < ev.size(); ++i) if (ev[i]) {
|
||||
uint epos = support_pos[fld.inv (i)];
|
||||
if (epos == fld.n || epos >= cipher_size()) {
|
||||
//found unexpected/wrong support, die.
|
||||
failed = true;
|
||||
continue;
|
||||
}
|
||||
errors[epos] = 1;
|
||||
if (epos < plain_size())
|
||||
out[epos] = !out[epos];
|
||||
}
|
||||
|
||||
return failed ? 1 : 0;
|
||||
}
|
||||
|
||||
104
src/mce_qd.h
104
src/mce_qd.h
|
|
@ -1,104 +0,0 @@
|
|||
|
||||
/*
|
||||
* This file is part of Codecrypt.
|
||||
*
|
||||
* Copyright (C) 2013-2016 Mirek Kratochvil <exa.exa@gmail.com>
|
||||
*
|
||||
* Codecrypt is free software: you can redistribute it and/or modify it
|
||||
* under the terms of the GNU Lesser General Public License as published by
|
||||
* the Free Software Foundation, either version 3 of the License, or (at
|
||||
* your option) any later version.
|
||||
*
|
||||
* Codecrypt is distributed in the hope that it will be useful, but WITHOUT
|
||||
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
|
||||
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
|
||||
* License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU Lesser General Public License
|
||||
* along with Codecrypt. If not, see <http://www.gnu.org/licenses/>.
|
||||
*/
|
||||
|
||||
#ifndef _ccr_mce_qd_h_
|
||||
#define _ccr_mce_qd_h_
|
||||
|
||||
#include <vector>
|
||||
|
||||
#include "bvector.h"
|
||||
#include "gf2m.h"
|
||||
#include "matrix.h"
|
||||
#include "permutation.h"
|
||||
#include "polynomial.h"
|
||||
#include "prng.h"
|
||||
#include "sencode.h"
|
||||
#include "types.h"
|
||||
|
||||
/*
|
||||
* compact Quasi-dyadic McEliece
|
||||
* according to Misoczki, Barreto, Compact McEliece Keys from Goppa Codes.
|
||||
*
|
||||
* Needs plaintext conversion. Unfortunately broken by an algebraic attack, do
|
||||
* not use this.
|
||||
*/
|
||||
namespace mce_qd
|
||||
{
|
||||
class privkey
|
||||
{
|
||||
public:
|
||||
std::vector<uint> essence;
|
||||
gf2m fld; //we fix q=2^fld.m=fld.n, n=q/2
|
||||
uint T; //the QD's t parameter is 2^T.
|
||||
permutation block_perm; //order of blocks
|
||||
std::vector<uint> block_perms; //dyadic permutations of blocks
|
||||
permutation hperm; //block permutation of H block used to get G
|
||||
|
||||
//derivable stuff
|
||||
//pre-permuted positions of support rows and support content
|
||||
std::vector<uint> support_pos, permuted_support;
|
||||
//generating polynomial
|
||||
polynomial g;
|
||||
|
||||
int decrypt (const bvector&, bvector&);
|
||||
int decrypt (const bvector&, bvector&, bvector&);
|
||||
int prepare();
|
||||
|
||||
uint cipher_size() {
|
||||
return (1 << T) * hperm.size();
|
||||
}
|
||||
uint plain_size() {
|
||||
return (1 << T) * (hperm.size() - fld.m);
|
||||
}
|
||||
uint error_count() {
|
||||
return 1 << T;
|
||||
}
|
||||
|
||||
sencode* serialize();
|
||||
bool unserialize (sencode*);
|
||||
};
|
||||
|
||||
class pubkey
|
||||
{
|
||||
public:
|
||||
uint T;
|
||||
matrix qd_sigs;
|
||||
|
||||
int encrypt (const bvector&, bvector&, prng&);
|
||||
int encrypt (const bvector&, bvector&, const bvector&);
|
||||
|
||||
uint cipher_size() {
|
||||
return plain_size() + qd_sigs[0].size();
|
||||
}
|
||||
uint plain_size() {
|
||||
return (1 << T) * qd_sigs.size();
|
||||
}
|
||||
uint error_count() {
|
||||
return 1 << T;
|
||||
}
|
||||
|
||||
sencode* serialize();
|
||||
bool unserialize (sencode*);
|
||||
};
|
||||
|
||||
int generate (pubkey&, privkey&, prng&, uint m, uint T, uint b, uint bd);
|
||||
}
|
||||
|
||||
#endif
|
||||
216
src/qd_utils.cpp
216
src/qd_utils.cpp
|
|
@ -1,216 +0,0 @@
|
|||
|
||||
/*
|
||||
* This file is part of Codecrypt.
|
||||
*
|
||||
* Copyright (C) 2013-2016 Mirek Kratochvil <exa.exa@gmail.com>
|
||||
*
|
||||
* Codecrypt is free software: you can redistribute it and/or modify it
|
||||
* under the terms of the GNU Lesser General Public License as published by
|
||||
* the Free Software Foundation, either version 3 of the License, or (at
|
||||
* your option) any later version.
|
||||
*
|
||||
* Codecrypt is distributed in the hope that it will be useful, but WITHOUT
|
||||
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
|
||||
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
|
||||
* License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU Lesser General Public License
|
||||
* along with Codecrypt. If not, see <http://www.gnu.org/licenses/>.
|
||||
*/
|
||||
|
||||
#include "qd_utils.h"
|
||||
|
||||
#include <vector>
|
||||
|
||||
/*
|
||||
* we count on that all integers are sufficiently large.
|
||||
* They should be, largest value occuring should be O(k*n) if initial vector is
|
||||
* consisted only from {0,1}^n, and we don't usually have codes of this size.
|
||||
*/
|
||||
|
||||
static void fwht (std::vector<int> x, std::vector<int>&r)
|
||||
{
|
||||
uint bs, s;
|
||||
s = x.size();
|
||||
bs = s >> 1;
|
||||
r.swap (x);
|
||||
while (bs) {
|
||||
x.swap (r);
|
||||
for (uint i = 0; i < s; ++i) {
|
||||
if ( (i / bs) & 1)
|
||||
r[i] = x[i - bs] - x[i];
|
||||
else
|
||||
r[i] = x[i] + x[i + bs];
|
||||
}
|
||||
bs >>= 1;
|
||||
}
|
||||
}
|
||||
|
||||
/*
|
||||
* we expect correct parameter size and preallocated out. Last 3 parameters are
|
||||
* used as a cache - just supply the same vectors everytime when you're doing
|
||||
* this multiple times.
|
||||
*/
|
||||
void fwht_dyadic_multiply (const bvector& a, const bvector& b, bvector& out,
|
||||
std::vector<int>&t,
|
||||
std::vector<int>&A,
|
||||
std::vector<int>&B)
|
||||
{
|
||||
|
||||
uint i;
|
||||
|
||||
//lift everyting to Z.
|
||||
for (i = 0; i < a.size(); ++i) t[i] = a[i];
|
||||
fwht (t, A);
|
||||
|
||||
for (i = 0; i < b.size(); ++i) t[i] = b[i];
|
||||
fwht (t, B);
|
||||
|
||||
//multiply diagonals to A
|
||||
for (i = 0; i < A.size(); ++i) A[i] *= B[i];
|
||||
fwht (A, t);
|
||||
|
||||
uint bitpos = a.size(); //no problem as a.size() == 1<<m == 2^m
|
||||
for (i = 0; i < t.size(); ++i) out[i] = (t[i] & bitpos) ? 1 : 0;
|
||||
}
|
||||
|
||||
bool qd_to_right_echelon_form (std::vector<std::vector<bvector> >&mat)
|
||||
{
|
||||
uint w = mat.size();
|
||||
if (!w) return false;
|
||||
uint h = mat[0].size();
|
||||
if (!h) return false;
|
||||
uint bs = mat[0][0].size();
|
||||
|
||||
uint i, j, k, l;
|
||||
|
||||
/*
|
||||
* Inversion is done the quasi-dyadic way:
|
||||
*
|
||||
* - because for QD matrix m=delta(h) the product
|
||||
* m*m = sum(h) * I, binary QD matrix m is either
|
||||
* inversion of itself (m*m=I) or isn't invertible
|
||||
* and m*m=0. sum(h), the "count of ones in QD
|
||||
* signature mod 2", easily determines the result.
|
||||
*
|
||||
* - Using blockwise invertions/multiplications,
|
||||
* gaussian elimination needed to invert the right
|
||||
* square of H can be performed in O(m^2*block_count)
|
||||
* matrix operations. Matrix operations are either
|
||||
* addition (O(t) on QDs), multiplication(O(t log t)
|
||||
* on QDs) or inversion (O(t), as shown above).
|
||||
* Whole proces is therefore quite fast.
|
||||
*
|
||||
* Gaussian elimination on the QD signature should
|
||||
* result in something like this: (for m=3, t=4)
|
||||
*
|
||||
* 1010 0101 1001 1000 0000 0000
|
||||
* 0101 1100 1110 0000 1000 0000
|
||||
* 0111 1110 0100 0000 0000 1000
|
||||
*/
|
||||
|
||||
bvector tmp;
|
||||
tmp.resize (bs);
|
||||
|
||||
std::vector<int> c1, c2, c3;
|
||||
c1.resize (bs);
|
||||
c2.resize (bs);
|
||||
c3.resize (bs);
|
||||
|
||||
for (i = 0; i < h; ++i) { //gauss step
|
||||
//first, find a nonsingular matrix in the column
|
||||
for (j = i; j < h; ++j)
|
||||
if (mat[w - h + i][j]
|
||||
.hamming_weight() % 2) break;
|
||||
if (j >= h) //none found, die!
|
||||
return false;
|
||||
|
||||
//bring it to correct position (swap it to i-th row)
|
||||
if (j > i) for (k = 0; k < w; ++k)
|
||||
mat[k][i].swap
|
||||
(mat[k][j]);
|
||||
|
||||
//now normalize the row
|
||||
for (j = i; j < h; ++j) {
|
||||
l = mat [w - h + i]
|
||||
[j].hamming_weight();
|
||||
if (l == 0) continue; //zero is just okay :]
|
||||
if (! (l % 2)) //singular, make it regular by adding the i-th row
|
||||
for (k = 0;
|
||||
k < w;
|
||||
++k)
|
||||
mat[k][j].add
|
||||
(mat[k][i]);
|
||||
|
||||
//now a matrix is regular, we can easily make it I.
|
||||
//first, multiply the row
|
||||
for (k = 0; k < w; ++k) {
|
||||
//don't overwrite the matrix we're counting with
|
||||
if (k == w - h + i) continue;
|
||||
fwht_dyadic_multiply
|
||||
(mat[w - h + i][j],
|
||||
mat[k][j], tmp, c1, c2, c3);
|
||||
mat[k][j] = tmp;
|
||||
}
|
||||
//change the block on the diagonal
|
||||
fwht_dyadic_multiply
|
||||
(mat[w - h + i][j],
|
||||
mat[w - h + i][j], tmp, c1, c2, c3);
|
||||
mat[w - h + i][j] = tmp;
|
||||
|
||||
//and zero the column below diagonal
|
||||
if (j > i) for (k = 0; k < w; ++k)
|
||||
mat[k][j].add
|
||||
(mat[k][i]);
|
||||
}
|
||||
}
|
||||
|
||||
for (i = 0; i < h; ++i) { //jordan step
|
||||
//normalize diagonal
|
||||
for (k = 0; k < w - i; ++k) {
|
||||
//we can safely rewrite the diagonal here (nothing's behind it)
|
||||
fwht_dyadic_multiply
|
||||
(mat[w - i - 1][h - i - 1],
|
||||
mat[k][h - i - 1], tmp, c1, c2, c3);
|
||||
mat[k][h - i - 1] = tmp;
|
||||
}
|
||||
|
||||
//now make zeroes above
|
||||
for (j = i + 1; j < h; ++j) {
|
||||
l = mat[w - i - 1]
|
||||
[h - j - 1].hamming_weight();
|
||||
if (l == 0) continue; //already zero
|
||||
if (! (l % 2)) { //nonsingular, fix it by adding diagonal
|
||||
for (k = 0; k < w; ++k)
|
||||
mat[k][h - j - 1].add
|
||||
(mat[k][h - i - 1]);
|
||||
}
|
||||
for (k = 0; k < w - i; ++k) {
|
||||
//overwrite is also safe here
|
||||
fwht_dyadic_multiply
|
||||
(mat[w - i - 1]
|
||||
[h - j - 1],
|
||||
mat[k][h - j - 1], tmp, c1, c2, c3);
|
||||
mat[k][h - j - 1] = tmp;
|
||||
}
|
||||
//I+I=0
|
||||
for (k = 0; k < w; ++k)
|
||||
mat[k][h - j - 1].add
|
||||
(mat[k][h - i - 1]);
|
||||
}
|
||||
}
|
||||
|
||||
return true;
|
||||
}
|
||||
|
||||
uint choose_random (uint limit, prng&rng, std::set<uint>&used)
|
||||
{
|
||||
if (used.size() >= limit - 1) return 0; //die
|
||||
for (;;) {
|
||||
uint a = 1 + rng.random (limit - 1);
|
||||
if (used.count (a)) continue;
|
||||
used.insert (a);
|
||||
return a;
|
||||
}
|
||||
}
|
||||
|
||||
|
|
@ -25,7 +25,6 @@
|
|||
#include "gf2m.h"
|
||||
#include "polynomial.h"
|
||||
#include "permutation.h"
|
||||
#include "mce_qd.h"
|
||||
#include "mce_qcmdpc.h"
|
||||
#include "fmtseq.h"
|
||||
#include "message.h"
|
||||
|
|
@ -167,95 +166,6 @@ bool polynomial::unserialize (sencode* s)
|
|||
#define PUBKEY_IDENT "CCR-PUBLIC-KEY-"
|
||||
#define PRIVKEY_IDENT "CCR-PRIVATE-KEY-"
|
||||
|
||||
sencode* mce_qd::privkey::serialize()
|
||||
{
|
||||
sencode_list*l = new sencode_list;
|
||||
l->items.resize (7);
|
||||
l->items[0] = new sencode_bytes (PRIVKEY_IDENT "QD-MCE");
|
||||
l->items[1] = fld.serialize();
|
||||
l->items[2] = new sencode_int (T);
|
||||
l->items[3] = serialize_uint_vector (&essence);
|
||||
l->items[4] = block_perm.serialize();
|
||||
l->items[5] = serialize_uint_vector (&block_perms);
|
||||
l->items[6] = hperm.serialize();
|
||||
return l;
|
||||
}
|
||||
|
||||
bool mce_qd::privkey::unserialize (sencode* s)
|
||||
{
|
||||
sencode_list*CAST_LIST (s, l);
|
||||
if (l->items.size() != 7) return false;
|
||||
|
||||
sencode_bytes*CAST_BYTES (l->items[0], ident);
|
||||
if (ident->b.compare (PRIVKEY_IDENT "QD-MCE")) return false;
|
||||
|
||||
sencode_int*CAST_INT (l->items[2], p);
|
||||
T = p->i;
|
||||
|
||||
if (! (fld.unserialize (l->items[1]) &&
|
||||
unserialize_uint_vector (&essence, l->items[3]) &&
|
||||
block_perm.unserialize (l->items[4]) &&
|
||||
unserialize_uint_vector (&block_perms, l->items[5]) &&
|
||||
hperm.unserialize (l->items[6]))) return false;
|
||||
|
||||
return true;
|
||||
}
|
||||
|
||||
sencode* mce_qd::pubkey::serialize()
|
||||
{
|
||||
sencode_list*l = new sencode_list;
|
||||
l->items.resize (3);
|
||||
l->items[0] = new sencode_bytes (PUBKEY_IDENT "QD-MCE");
|
||||
l->items[1] = new sencode_int (T);
|
||||
l->items[2] = qd_sigs.serialize();
|
||||
return l;
|
||||
}
|
||||
|
||||
bool mce_qd::pubkey::unserialize (sencode*s)
|
||||
{
|
||||
sencode_list*CAST_LIST (s, l);
|
||||
if (l->items.size() != 3) return false;
|
||||
|
||||
sencode_bytes*CAST_BYTES (l->items[0], ident);
|
||||
if (ident->b.compare (PUBKEY_IDENT "QD-MCE")) return false;
|
||||
|
||||
sencode_int*CAST_INT (l->items[1], p);
|
||||
T = p->i;
|
||||
|
||||
if (!qd_sigs.unserialize (l->items[2])) return false;
|
||||
|
||||
return true;
|
||||
}
|
||||
|
||||
sencode* fmtseq::privkey::tree_stk_item::serialize()
|
||||
{
|
||||
sencode_list*l = new sencode_list;
|
||||
l->items.resize (3);
|
||||
l->items[0] = new sencode_int (level);
|
||||
l->items[1] = new sencode_int (pos);
|
||||
l->items[2] = new sencode_bytes (item);
|
||||
return l;
|
||||
}
|
||||
|
||||
bool fmtseq::privkey::tree_stk_item::unserialize (sencode*s)
|
||||
{
|
||||
sencode_list*CAST_LIST (s, l);
|
||||
if (l->items.size() != 3) return false;
|
||||
|
||||
sencode_int*p;
|
||||
CAST_INT (l->items[0], p);
|
||||
level = p->i;
|
||||
|
||||
CAST_INT (l->items[1], p);
|
||||
pos = p->i;
|
||||
|
||||
sencode_bytes* CAST_BYTES (l->items[2], a);
|
||||
item = std::vector<byte> (a->b.begin(), a->b.end());
|
||||
|
||||
return true;
|
||||
|
||||
}
|
||||
|
||||
sencode* mce_qcmdpc::pubkey::serialize()
|
||||
{
|
||||
sencode_list*l = new sencode_list;
|
||||
|
|
@ -316,6 +226,34 @@ bool mce_qcmdpc::privkey::unserialize (sencode*s)
|
|||
return true;
|
||||
}
|
||||
|
||||
sencode* fmtseq::privkey::tree_stk_item::serialize()
|
||||
{
|
||||
sencode_list*l = new sencode_list;
|
||||
l->items.resize (3);
|
||||
l->items[0] = new sencode_int (level);
|
||||
l->items[1] = new sencode_int (pos);
|
||||
l->items[2] = new sencode_bytes (item);
|
||||
return l;
|
||||
}
|
||||
|
||||
bool fmtseq::privkey::tree_stk_item::unserialize (sencode*s)
|
||||
{
|
||||
sencode_list*CAST_LIST (s, l);
|
||||
if (l->items.size() != 3) return false;
|
||||
|
||||
sencode_int*p;
|
||||
CAST_INT (l->items[0], p);
|
||||
level = p->i;
|
||||
|
||||
CAST_INT (l->items[1], p);
|
||||
pos = p->i;
|
||||
|
||||
sencode_bytes* CAST_BYTES (l->items[2], a);
|
||||
item = std::vector<byte> (a->b.begin(), a->b.end());
|
||||
|
||||
return true;
|
||||
|
||||
}
|
||||
|
||||
sencode* fmtseq::privkey::serialize()
|
||||
{
|
||||
|
|
|
|||
Loading…
Reference in a new issue