Remarks on Sade's disproof of the Euler conjecture with an application to Latin squares orthogonal to their transpose

DOI10.1016/0097-3165(75)90065-5zbMath0325.05011OpenAlexW2077221353WikidataQ123138069 ScholiaQ123138069MaRDI QIDQ1225055

D. J. Crampin, Anthony J. W. Hilton

Publication date: 1975

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(75)90065-5

Mathematics Subject Classification ID

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

Related Items

Self-orthogonal latin squares of all orders 𝑛≠2,3,6 ⋮ On the spectra of certain types of latin square ⋮ Unnamed Item

Cites Work

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• Latin squares orthogonal to their transposes
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• ON THE FALSITY OF EULER'S CONJECTURE ABOUT THE NON-EXISTENCE OF TWO ORTHOGONAL LATIN SQUARES OF ORDER 4t + 2
• On the Construction of Sets of Mutually Orthogonal Latin Squares and the Falsity of a Conjecture of Euler
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• The Generalized Singular Direct Product for Quasigroups