EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 109–119 (2017)

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Smile Markovski, Aleksandra Mileva

Faculty for Computer Science and Engineering, Ss Cyril and Methodius University, Skopje, Macedonia; Faculty for Infromatics, Goce Delcev University, Stip, Macedonia

Abstract: A d-hypercube of order n is an n××n d array with n d elements from a set Q of cardinality n. We recall several connections between d-hypercubes of order n and d-ary operations of order n. We give constructions of orthogonal d-ary operations that generalize a result of Belyavskaya and Mullen. Our main result is a general construction of d-orthogonal d-ary operations from d-ary quasigroups.

Keywords: Latin hypercube; orthogonal hypercubes; orthogonal functions; recursively differentiable quasigroups

Classification (MSC2000): 05B15; 20N05; 20N15

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Electronic fulltext finalized on: 24 Apr 2017. This page was last modified: 11 May 2017.

© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
© 2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition