A note on a pair of orthogonal orthomorphisms of cyclic groups

DOI10.1016/j.disc.2022.113122OpenAlexW4293110013MaRDI QIDQ2092341

Tao Feng, Menglong Zhang, Xiao Miao Wang

Publication date: 2 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.disc.2022.113122

zbMATH Keywords

complete mappingdifference matrixorthogonal orthomorphisms

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

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Cites Work

• Orthogonal Latin squares based on groups
• Recursive constructions for cyclic block designs
• A note on difference matrices over non-cyclic finite abelian groups
• Reduction of the Hall-Paige conjecture to sporadic simple groups.
• Constructions of difference covering arrays.
• Difference matrices with five rows over finite abelian groups
• Diagonal groups and arcs over groups
• The Hall-Paige conjecture, and synchronization for affine and diagonal groups
• The admissibility of sporadic simple groups.
• On (\(g\), 4; 1)-difference matrices
• On orthogonal orthomorphisms of cyclic and non-abelian groups. II
• Complete mappings of finite groups
• On orthogonal orthomorphisms of cyclic and non-Abelian groups

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