Geodesic
Synthesis method of a complete class of bent-functions of six variables
Problemy fiziki, matematiki i tehniki, no. 4 (2016), pp. 94-102.

Voir la notice de l'article provenant de la source Math-Net.Ru

The synthesis method for constructing full class of bent-functions of six variables based on the sign coding matrices, structural, synchronous and asynchronous permutations applied to the theory of Agievich bent-squares is proposed. The resulting full class of bent-functions can be used to solve many problems in the theory of information transmission, error-correcting coding, cryptography and cryptanalysis.
Keywords: bent-function, Agievich bent-square, sign coding matrix, Walsh–Hadamard transform.
Mots-clés : structure permutation, synchronous and asynchronous permutation 
@article{PFMT_2016_4_a15,
     author = {A. V. Sokolov},
     title = {Synthesis method of a complete class of bent-functions of six variables},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {94--102},
     publisher = {mathdoc},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_4_a15/}
}
TY  - JOUR
AU  - A. V. Sokolov
TI  - Synthesis method of a complete class of bent-functions of six variables
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2016
SP  - 94
EP  - 102
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2016_4_a15/
LA  - ru
ID  - PFMT_2016_4_a15
ER  - 
%0 Journal Article
%A A. V. Sokolov
%T Synthesis method of a complete class of bent-functions of six variables
%J Problemy fiziki, matematiki i tehniki
%D 2016
%P 94-102
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2016_4_a15/
%G ru
%F PFMT_2016_4_a15
A. V. Sokolov. Synthesis method of a complete class of bent-functions of six variables. Problemy fiziki, matematiki i tehniki, no. 4 (2016), pp. 94-102. http://geodesic.mathdoc.fr/item/PFMT_2016_4_a15/

[1] O. S. Rothaus, “On “bent” functions”, J. Comb. Theory Ser. A, 20:3 (1976), 300–305 | DOI | MR | Zbl

[2] A. V. Sokolov, “Konstruktivnyi metod sinteza nelineinykh $S$-blokov podstanovki, sootvetstvuyuschikh strogomu lavinnomu kriteriyu”, Izvestiya vysshikh uchebnykh zavedenii. Radioelektronika, 56:8 (2013), 43–52

[3] N. N. Tokareva, “Bent-funktsii: rezultaty i prilozheniya. Obzor rabot”, Priklad. diskret. matematika, 2009, no. 1 (3), 15–37

[4] M. I. Mazurkov, Sistemy shirokopolosnoi radiosvyazi, Nauka i Tekhnika, Odessa, 2010, 340 pp.

[5] M. I. Mazurkov, A. V. Sokolov, “Regulyarnye privila postroeniya polnogo klassa bent-posledovatelnostei dliny 16”, Pr. Odes. politekhn. un-tu, 2013, no. 2(41), 231–237

[6] Qingshu Meng, Min Yang, Huanguo Zhang, Jingsong Cui, “A novel algorithm enumerating bent functions”, Discrete Mathematics, 308:23 (2008), 5576–5584 | DOI | MR | Zbl

[7] S. V. Agievich, “On the representation of bent functions by bent rectangles”, Probabilistic Methods in Discrete Mathematics, Proceedings of the Fifth International Petrozavodsk Conference (Petrozavodsk, June 1–6, 2000), VSP, Utrecht–Boston, 2002, 121–135

[8] M. I. Mazurkov, A. V. Sokolov, “Bystrye ortogonalnye preobrazovaniya na osnove bent-posledovatelnostei”, Informatika ta matematichni metodi v modelyuvanni, 2014, no. 1, 5–13