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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2016, Issue 4(29), Pages 94–102
(Mi pfmt478)
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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.
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
Linking options:
https://www.mathnet.ru/eng/pfmt478 https://www.mathnet.ru/eng/pfmt/y2016/i4/p94
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