Existence of strong symmetric self-orthogonal diagonal Latin squares

DOI10.1016/j.disc.2011.02.003zbMath1226.05059OpenAlexW1975972483MaRDI QIDQ534046

Yong-Cai Geng, Sumit K. Garg

Publication date: 10 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.disc.2011.02.003

zbMATH Keywords

self-orthogonaldiagonal Latin squarestrongly symmetric

Mathematics Subject Classification ID

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

Related Items

Existence of weakly pandiagonal orthogonal Latin squares ⋮ Multimagic rectangles based on large sets of orthogonal arrays ⋮ Strongly symmetric self-orthogonal diagonal Latin squares and Yang Hui type magic squares ⋮ Existence of Yang Hui type magic squares ⋮ Existence of strongly symmetrical weakly pandiagonal Graeco-Latin squares

Cites Work

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• Incomplete self-orthogonal latin squares \(ISOLS(6m+6,2m)\) exist for all m
• Existence of frame SOLS of type \(a^n b^1\)
• Existence of self-orthogonal diagonal Latin squares with a missing subsquare
• Self-orthogonal latin squares of all orders 𝑛≠2,3,6