Existence of \(r\)-self-orthogonal Latin squares

DOI10.1016/J.DISC.2005.11.012zbMath1086.05019OpenAlexW2080134127MaRDI QIDQ817762

Yun Qing Xu, Yan Xun Chang

Publication date: 20 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.disc.2005.11.012

zbMATH Keywords

transversal

Mathematics Subject Classification ID

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

Related Items (1)

25 new \(r\)-self-orthogonal Latin squares

Cites Work

• A general construction for group-divisible designs
• More mutually orthogonal latin squares
• Sub-Latin squares and incomplete orthogonal arrays
• On the theory and application of sum composition of Latin squares and orthogonal Latin squares
• Completing the spectrum of \(r\)-orthogonal Latin squares
• On the spectrum of \(r\)-self-orthogonal Latin squares.
• Existence of frame SOLS of type \(a^n b^1\)
• The spectrum of \(\text{HSOLSSOM}(h^ n)\) where \(h\) is even
• Existence of frame sols of type 2ⁿu¹
• A few more \(r\)-orthogonal Latin squares
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