Some constructions for \(t\) pairwise orthogonal diagonal Latin squares based on difference matrices

DOI10.1016/j.disc.2014.11.018zbMath1305.05028OpenAlexW2072206178MaRDI QIDQ488285

R. Julian R. Abel, Yang Li

Publication date: 23 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.disc.2014.11.018

zbMATH Keywords

DMHMOLSHQDMPODLSQDM

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (2)

Unnamed Item ⋮ Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results

Cites Work

• Existence of 2 SOLS and 2 ISOLS
• Constructions of new orthogonal arrays and covering arrays of strength three
• Covering arrays of strength 3 and 4 from holey difference matrices
• More mutually orthogonal latin squares
• Further results on optimal optical orthogonal codes with weight 4.
• The existence of four HMOLS with equal sized holes
• Existence of Steiner seven-cycle systems
• Existence of self-orthogonal diagonal Latin squares with a missing subsquare
• The existence of orthogonal diagonal Latin squares with subsquares
• Four Mutually Orthogonal Latin Squares of Order 14
• Concerning eight mutually orthogonal latin squares
• Concerning seven and eight mutually orthogonal Latin squares
• Existence of Five MOLS of Orders 18 and 60
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