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An algorithm for constructing S-boxes for block symmetric encryption

Alijon Bozorbayevicha SATTAROVDepartment of Applied Mathematics and Computer Analysis, National University of Uzbekistan, UzbekistanBakhtiyor Fayzievich ABDURAHİMOV
ABI

Abstract

This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the proposed method, $S(8\times 8)$-box created, with the algebraic immunity 3 (441) and nonlinearity 104. The algorithm given in this article can be used for oscillation of $S(8\times 8)$)-boxes with the increased resistance to algebraic, linear, differential and linear and differential methods of a cryptanalysis, for block symmetric algorithms of encryption.

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