Incomplete self-orthogonal latin squares \(ISOLS(6m+6,2m)\) exist for all m

DOI10.1016/0012-365X(91)90137-QzbMath0723.05020MaRDI QIDQ757379

D. Kharzeev

Publication date: 1991

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

SOLSincomplete self-orthogonal latin squareISOLSself-orthogonal latin square

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (5)

The existence of orthogonal diagonal Latin squares with subsquares ⋮ Orthogonal diagonal Latin squares with small subsquares ⋮ Existence of strong symmetric self-orthogonal diagonal Latin squares ⋮ Existence of frame SOLS of type \(a^nb^1\) for odd \(n\) ⋮ Some recent developments on BIBDs and related designs

Cites Work

• Further results on incomplete (3,2,1)-conjugate orthogonal idempotent Latin squares
• Existence of orthogonal Latin squares with aligned subsquares
• Orthogonal latin squares with orthogonal subsquares
• A general construction for group-divisible designs
• More mutually orthogonal latin squares
• On the spectra of certain types of latin square
• A generalization of sum composition: Self orthogonal latin square design with sub self orthogonal latin square designs
• ORTHOGONAL LATIN SQUARES
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
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