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Completion of a group and construction of orthogonal quasigroups of order \(3t+i\), \(i=0,1,2\), t\(\neq 2,6\) with orthogonal subquasigroups of order t. (Russian) Zbl 0643.05016

For every \(n\neq 2,6\) and every \(m=0,1,2\) there exists a pair of orthogonal latin squares of order \(3n+m\) containing orthogonal subsquares of order n.
Reviewer: T.Kepka

MSC:

05B15 Orthogonal arrays, Latin squares, Room squares
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