R-ORTHOGONALITY OF LATIN SQUARES USING BIVARIATE PERMUTATION POLYNOMIALS

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dc.contributor.authorBhatta, G.R.
dc.contributor.authorShankar, B.R.
dc.contributor.authorPoojary, P.
dc.date.accessioned2026-02-04T12:28:35Z
dc.date.issued2022
dc.description.abstractCryptographic 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. © 2022 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.
dc.identifier.citationProceedings of the Jangjeon Mathematical Society, 2022, 25, 2, pp. 159-171
dc.identifier.issn15987264
dc.identifier.urihttps://doi.org/10.17777/pjms2022.25.2.159
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22787
dc.publisherJangjeon Research Institute for Mathematical Sciences and Physics
dc.subjectCryptography
dc.subjectPermutation polynomial
dc.subjectr-orthogonality
dc.subjectRing
dc.subjectSelf-orthogonality
dc.titleR-ORTHOGONALITY OF LATIN SQUARES USING BIVARIATE PERMUTATION POLYNOMIALS

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