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PFMT, 2016, Issue 4(29), Pages 94–102 (Mi pfmt478)  

INFORMATION SCIENCE

Synthesis method of a complete class of bent-functions of six variables

A. V. Sokolov

Odessa National Polytechnic University

Abstract: 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, structure permutation, synchronous and asynchronous permutation, Walsh–Hadamard transform.

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UDC: 004.622.612
Received: 22.07.2015

Citation: A. V. Sokolov, “Synthesis method of a complete class of bent-functions of six variables”, PFMT, 2016, no. 4(29), 94–102

Citation in format AMSBIB
\Bibitem{Sok16}
\by A.~V.~Sokolov
\paper Synthesis method of a complete class of bent-functions of six variables
\jour PFMT
\yr 2016
\issue 4(29)
\pages 94--102
\mathnet{http://mi.mathnet.ru/pfmt478}


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