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.

Original languageEnglish
Pages (from-to)159-171
Number of pages13
JournalProceedings of the Jangjeon Mathematical Society
Issue number2
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics


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