Existence of 2 SOLS and 2 ISOLS

DOI10.1016/J.DISC.2011.10.010zbMath1237.05023OpenAlexW2082662222MaRDI QIDQ764871

Frank E. Bennett, R. Julian R. Abel

Publication date: 16 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.disc.2011.10.010

zbMATH Keywords

transversal designISOLSIMOLSincomplete mutually orthogonal Latin squaresincomplete SOLSself-orthogonal Latin squareSOLS: incomplete Latin square

Mathematics Subject Classification ID

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

Related Items (4)

On generalized Howell designs with block size three ⋮ Some constructions for \(t\) pairwise orthogonal diagonal Latin squares based on difference matrices ⋮ Unnamed Item ⋮ Existence of Five MOLS of Orders 18 and 60

Cites Work

• Existence of incomplete transversal designs with block size five and any index \(\lambda\)
• Four MOLS of orders 20, 30, 38, and 44
• Balanced incomplete block designs with block size 9. II.
• Perfect Mendelsohn designs with block size six
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