A short disproof of Euler's conjecture based on quasi-difference matrices and difference matrices

DOI10.1016/j.disc.2017.10.019zbMath1380.05021OpenAlexW2768008532WikidataQ123118474 ScholiaQ123118474MaRDI QIDQ1699560

Peng Zhang

Publication date: 23 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.disc.2017.10.019

zbMATH Keywords

orthogonal Latin squarequasi-difference matrix

Mathematics Subject Classification ID

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

Related Items (1)

Existence of strongly symmetrical weakly pandiagonal Graeco-Latin squares

Cites Work

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• A short proof of the nonexistence of a pair of orthogonal Latin squares of order six
• A coding theoretic solution to the 36 officer problem
• Concerning the number of mutually orthogonal latin squares
• On (\(g\), 4; 1)-difference matrices
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Mutually orthogonal Latin squares: A brief survey of constructions

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