A general construction of mutually orthogonal latin squares of prime order

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J. A. Saka
O. O. Oyadare

Abstract

This paper presents a general method of constructing a complete set of Mutually Orthogonal Latin Squares (MOLS) of the order of any prime, via the use of generating functions dened on the nite eld of this order. Apart from using the generating function to get a complete set of Mutually Orthogonal Latin Squares, the studies of the generating functions opens up the possibility of getting at the deep structural properties of MOLS. Copious examples were given for detailed illustrations.

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How to Cite
Saka, J., & Oyadare, O. (2018). A general construction of mutually orthogonal latin squares of prime order. International Journal of Algebra and Statistics, 7(1-2), 77-93. https://doi.org/10.20454/ijas.2018.1451
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