TY - JOUR

T1 - R-ORTHOGONALITY OF LATIN SQUARES USING BIVARIATE PERMUTATION POLYNOMIALS

AU - Vadiraja Bhatta, G. R.

AU - Shankar, B. R.

AU - Poojary, Prasanna

N1 - Publisher Copyright:
© 2022 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.

PY - 2022

Y1 - 2022

N2 - Cryptographic applications of Latin squares require to study them in various aspects. In this paper, the formation and observation of Latin squares using bivariate permutation polynomials over some finite rings are established with respect to their properties like self orthogonalization, r-orthogonalization, and r-mirror orthogonalization. We also identified why some particular cases fail to form self orthogonal Latin squares, and we illustrate it by giving examples.

AB - Cryptographic applications of Latin squares require to study them in various aspects. In this paper, the formation and observation of Latin squares using bivariate permutation polynomials over some finite rings are established with respect to their properties like self orthogonalization, r-orthogonalization, and r-mirror orthogonalization. We also identified why some particular cases fail to form self orthogonal Latin squares, and we illustrate it by giving examples.

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U2 - 10.17777/pjms2022.25.2.159

DO - 10.17777/pjms2022.25.2.159

M3 - Article

AN - SCOPUS:85130378366

SN - 1598-7264

VL - 25

SP - 159

EP - 171

JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 2

ER -