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 -