Sets of partially orthogonal Latin squares and projective planes

DOI10.1016/j.disc.2004.04.014zbMath1056.05026OpenAlexW2076144727MaRDI QIDQ704280

A. D. Keedwell, Gary L. Mullen

Publication date: 13 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.04.014

zbMATH Keywords

LoopProjective planeOrthogonal Latin squaresComplete mappingNeofieldOrthomorphism

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of finite geometries (05B25) Loops, quasigroups (20N05) Generalizations of fields (12K99)

Related Items (1)

Construction of the mutually orthogonal extraordinary supersquares

Cites Work

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• Generalized complete mappings, neofields, sequenceable groups and block designs. I
• Four MOLS of order 10 with a hole of order 2
• Latin squares. New developments in the theory and applications
• Construction of orthogonal latin squares using left neofields
• A characterization of the Jacobi logarithms of a finite field

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