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R-ORTHOGONALITY OF LATIN SQUARES USING BIVARIATE PERMUTATION POLYNOMIALS
VADIRAJA BHATTA G. R.,SHANKAR B. R.,PRASANNA POOJARY 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.2
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.
Symmetric key end to end Cryptosystem using Plateaued functions and Hadamard matrix
P. Poojary,K. Prakasha,P. K. Harikrishnan,G. R. Vadiraja Bhatta,Deepmala,A. Mitra 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.1
Hadamard matrices are a special type of matrices having various applications in cryptography. Here we present a method for the construction of Hadamard matrices using plateaued Boolean functions. The key generated using Hadamard matrices is used for end to end encryption of the messages using symmetric key cryptography. The performance of the proposed system is compared with the Advanced Encryption Standard (AES), and RSA cryptosystems. The results prove that the proposed system outperforms existing systems.