Bijective S-boxes of different sizes obtained from quasi-cyclic codes

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DOI:

https://doi.org/10.13069/jacodesmath.617232

Keywords:

S-box, Simplex code, Quasi-cyclic codes

Abstract

The aim of this paper is to construct S-boxes of different sizes with good cryptographic properties. An algebraic construction for bijective S-boxes is described. It uses quasi-cyclic representations of the binary simplex code. Good S-boxes of sizes 4, 6, 8, 9, 10, 11, 12, 14, 15, 16 and 18 are obtained.

Received: 4 July 2018 Accepted: 23 April 2019

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Published

2019-09-15

How to Cite

Bikov, D., Bouyukliev, I., & Bouyuklieva, S. (2019). Bijective S-boxes of different sizes obtained from quasi-cyclic codes. Journal of Algebra Combinatorics Discrete Structures and Applications, 6(3), 123–134. https://doi.org/10.13069/jacodesmath.617232

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Articles