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.

UDC: 004.622.612

Received: 22.07.2015