On the spectra of certain types of latin square

DOI10.1016/0097-3165(75)90093-XzbMath0325.05012MaRDI QIDQ1225056

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

Publication date: 1975

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

Mathematics Subject Classification ID

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

Related Items (7)

Orthogonal latin squares with orthogonal subsquares ⋮ Remarks on Sade's disproof of the Euler conjecture with an application to Latin squares orthogonal to their transpose ⋮ Incomplete self-orthogonal latin squares \(ISOLS(6m+6,2m)\) exist for all m ⋮ Doubly diagonal orthogonal Latin squares ⋮ Orthogonal Latin squares with subsquares ⋮ Pairwise balanced designs whose line sizes do not divide six ⋮ Existence of orthogonal Latin squares with aligned subsquares

Cites Work

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• A further construction of double diagonal orthogonal latin squares
• Remarks on Sade's disproof of the Euler conjecture with an application to Latin squares orthogonal to their transpose
• An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures
• Construction of doubly diagonalized orthogonal latin squares
• 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

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