Geodesic
On transversals of homogeneous Latin squares
Matematičeskie voprosy kriptografii, Tome 6 (2015) no. 3, pp. 5-17 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider homogeneous Latin squares, i.e. Latin squares of order $2n$ with elements from $\{0,\dots,2n-1\}$ such that after reducing modulo $n$ we obtain $2n\times2n$-matrix consisting of four identical Latin squares of order $n$. The set of all transversals of homogeneous Latin squares is described in a general case; homogeneous Latin squares of order 10 are considered in more detail. 
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V. V. Borisenko. On transversals of homogeneous Latin squares. Matematičeskie voprosy kriptografii, Tome 6 (2015) no. 3, pp. 5-17. http://geodesic.mathdoc.fr/item/MVK_2015_6_3_a0/

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[3] Borisenko V. V., “O transversalyakh raspavshikhsya latinskikh kvadratov chetnogo poryadka”, Matematicheskie voprosy kriptografii, 5:1 (2014), 5–25