Geodesic
On orthogonal Latin $p$-dimensional cubes
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 725-728

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We give a construction of $p$ orthogonal Latin $p$-dimensional cubes (or Latin hypercubes) of order $n$ for every natural number $n\ne 2,6$ and $p \ge 2$. Our result generalizes the well known result about orthogonal Latin squares published in 1960 by R. C. Bose, S. S. Shikhande and E. T. Parker.
Classification : 05B15
Keywords: Latin $p$-dimensional cube; Latin hypercube; Latin squares; orthogonal 
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     title = {On orthogonal {Latin} $p$-dimensional cubes},
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Trenkler, Marián. On orthogonal Latin $p$-dimensional cubes. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 725-728. http://geodesic.mathdoc.fr/item/CMJ_2005__55_3_a14/