\(d\)-dimensional hypercubes and the Euler and MacNeish conjectures

DOI10.1007/BF01293673zbMath0817.05017OpenAlexW2037272829WikidataQ122987697 ScholiaQ122987697MaRDI QIDQ1346764

Gary L. Mullen, Geoffrey P. Whittle, Charles F. Laywine

Publication date: 11 July 1995

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178682

zbMATH Keywords

orthogonal Latin squaresEuler's conjecture\(d\)-dimensional hypercubesMacNeish's conjecture

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (9)

Isomorphisms of hypergroups and of \(n\)-hypergroups with applications. ⋮ A candidate for the ``Next Fermat Problem ⋮ Combinatorial methods in the construction of point sets with uniformity properties ⋮ The geometry of diagonal groups ⋮ Strong forms of orthogonality for sets of hypercubes ⋮ Around the Hosszú-Gluskin theorem for \(n\)-ary groups. ⋮ Classification of Graeco-Latin Cubes ⋮ On construction of orthogonal d-ary operations ⋮ Orthogonal hypercubes and related designs

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• Further contributions to the theory of F-squares design
• Good Parameters for a Class of Node Sets in Quasi-Monte Carlo Integration
• On the Maximal Number of Pairwise Orthogonal Latin Squares of a Given Order
• A Statistical Analysis of Generalized Feedback Shift Register Pseudorandom Number Generators
• Orthogonal latin square graphs
• On the structure of affine designs

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