Constructions of Pairs of Orthogonal Latin Cubes

11/29/2019

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by   Vladimir N. Potapov, et al.

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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