Variations of diagonal cyclicity of Latin squares formed by permutation polynomials

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Date

2021

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Forum-Editrice Universitaria Udinese SRL

Abstract

Cryptographic applications of Latin squares require to study them in various aspects. The Latin squares, which are due to bivariate polynomials, show some interesting patterns of entries. In this paper, we discussed the diagonally cyclic nature of Latin squares over some small finite rings with the help of the bivariate permutation polynomials, which formed them. © 2021 Forum-Editrice Universitaria Udinese SRL. All rights reserved.

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Keywords

Bivariate polynomials, Cryptographic applications, Cyclicity, Diagonally cyclic, Finite rings, Latin square, Permutation polynomials, Polynomial approximation

Citation

Italian Journal of Pure and Applied Mathematics, 2021, 46, , pp. 438-452

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