Existence of frame SOLS of type \(a^nb^1\) for odd \(n\)

DOI10.1016/S0378-3758(00)00268-8zbMath0980.05017OpenAlexW2090223929MaRDI QIDQ5934188

Yun Qing Xu, Huisheng Pei

Publication date: 4 March 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00268-8

zbMATH Keywords

frameLatin squaretransversal

Mathematics Subject Classification ID

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

Cites Work

• Incomplete self-orthogonal latin squares \(ISOLS(6m+6,2m)\) exist for all m
• Existence of orthogonal Latin squares with aligned subsquares
• On the existence of MOLS with equal-sized holes
• 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
• Existence of SOLS with holes of type \(2^ n u^ 1\)
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Existence of frame sols of type 2ⁿu¹
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