Some new HSOLSSOMs of types hn and 1m u1

DOI10.1002/jcd.1022zbMath0994.05043OpenAlexW2073012763MaRDI QIDQ2781048

Gennian Ge, R. Julian R. Abel

Publication date: 14 March 2002

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.1022

zbMATH Keywords

self-orthogonal Latin squaresorthogonal mate

Mathematics Subject Classification ID

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

Related Items (6)

Further results on mutually nearly orthogonal Latin squares ⋮ Existence of three HMOLS of type \(2^nu^{1}\) ⋮ Further results on large sets of partitioned incomplete Latin squares ⋮ Triplewhist tournaments with the three person property ⋮ Existence of HSOLSSOMs of type \(2^nu^1\) ⋮ Whist tournaments with the three person property

Cites Work

• Unnamed Item
• Steiner pentagon systems
• Holey self-orthogonal Latin squares with symmetric orthogonal mates
• Direct constructions for certain types of HMOLS
• The spectrum of \(\text{HSOLSSOM}(h^ n)\) where \(h\) is even
• Existence of whist tournaments with the three-person property 3PWh\((v)\)
• On the spectrum of resolvable orthogonal arrays invariant under the Klein group \(K_ 4\)
• Authentication perpendicular arrays APA1(2, 7, ?)
• Holey Steiner pentagon systems

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