Geodesic
On functional specification of Latin squares
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 4, pp. 177-187.

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This paper studies functional methods for specification of Latin squares over the sets of $n$-dimensional Boolean vectors, $n$-dimensional vectors over an arbitrary finite prime field and over an arbitrary finite Abelian group. In conclusion, a method for constructing classes of nongroup Latin squares is presented. 
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V. A. Nosov; A. E. Pankratiev. On functional specification of Latin squares. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 4, pp. 177-187. http://geodesic.mathdoc.fr/item/FPM_2009_15_4_a5/

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