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arXiv:1911.12960 [math.CO]AbstractReferencesReviewsResources

Constructions of Pairs of Orthogonal Latin Cubes

Vladimir N. Potapov

Published 2019-11-29Version 1

We construct pairs of orthogonal latin cubes for a sequence of previously unknown orders $q_i=16(18i-1)+4$ and $q'_i=16(18i+5)+4$. The minimum new order is $84$. Keywords --- latin square, latin cube, MOLS, MDS code, block design, Steiner system

Comments: 7 pages
Categories: math.CO, cs.IT, math.IT
Subjects: 05B15, 94B05, 05B05
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