Every SOMA\((n - 2, n)\) is Trojan

DOI10.1016/j.disc.2008.09.050zbMath1194.05013OpenAlexW2053255736MaRDI QIDQ960928

John Arhin

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.09.050

zbMATH Keywords

mutually orthogonal Latin squaresaffine planeorthogonal arrayfinite projective planeSOMA (simple orthogonal multi-array)Trojan

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (3)

On generalized Howell designs with block size three ⋮ On existence of two classes of generalized Howell designs with block size three and index two ⋮ Multi-Latin squares

Cites Work

• An efficient semi-Latin square for twelve treatments in blocks of size two
• Resolvable pairwise balanced designs.
• On the structure and classification of SOMAs: Generalizations of mutually orthogonal Latin squares
• On the structure of 1-designs with at most two block intersection numbers
• Research problems
• Research problems
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