On orthogonal Latin $p$-dimensional cubes

Trenkler, Marián. "On orthogonal Latin $p$-dimensional cubes." Czechoslovak Mathematical Journal 55.3 (2005): 725-728. <http://eudml.org/doc/30983>.

@article{Trenkler2005,
abstract = {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.},
author = {Trenkler, Marián},
journal = {Czechoslovak Mathematical Journal},
keywords = {Latin $p$-dimensional cube; Latin hypercube; Latin squares; orthogonal; Latin hypercube; Latin squares},
language = {eng},
number = {3},
pages = {725-728},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On orthogonal Latin $p$-dimensional cubes},
url = {http://eudml.org/doc/30983},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Trenkler, Marián
TI - On orthogonal Latin $p$-dimensional cubes
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 3
SP - 725
EP - 728
AB - 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.
LA - eng
KW - Latin $p$-dimensional cube; Latin hypercube; Latin squares; orthogonal; Latin hypercube; Latin squares
UR - http://eudml.org/doc/30983
ER -