Half quasigroups and generalized quasigroup orthogonality.

DOI10.1016/J.DISC.2010.10.004zbMath1207.20063OpenAlexW2168364665MaRDI QIDQ615992

H. Michael Damm

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.disc.2010.10.004

zbMATH Keywords

check digit systemsMOLSLatin power setsfinite quasigroupshalf quasigroupsquasigroup orthogonalityrow Latin squares

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Other types of codes (94B60) Loops, quasigroups (20N05)

Cites Work

• Totally anti-symmetric quasigroups for all orders \(n\neq 2,6\).
• On the existence of totally anti-symmetric quasigroups of order \(4k+2\)
• Groups of orthogonal row-latin squares
• SYSTEMS OF ORTHOGONAL OPERATIONS
• The Construction of Orthogonal Latin Squares
• Check digit systems over groups and anti-symmetric mappings
• Answers to questions by Dénes on Latin power sets
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