A note on difference matrices over non-cyclic finite abelian groups

DOI10.1016/j.disc.2015.10.028zbMath1329.05048OpenAlexW2098981637MaRDI QIDQ898146

Rong Pan, Yan Xun Chang

Publication date: 8 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.disc.2015.10.028

zbMATH Keywords

difference matrixrelative difference familyfinite \(p\)-groupnon-cyclic finite abelian group

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (9)

Resolvable generalized difference matrices: existence and applications ⋮ Constructions of optimal balanced \( (m, n, \{4, 5\}, 1) \)-OOSPCs ⋮ Covering schemes of strength \(t\) ⋮ Difference matrices with four rows over generalized dihedral groups ⋮ On optimal (Z6m×Z6n,4,1) and (Z2m×Z18n,4,1) difference packings and their related codes ⋮ The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class ⋮ A note on a pair of orthogonal orthomorphisms of cyclic groups ⋮ Mutually unbiased maximally entangled bases from difference matrices ⋮ Difference matrices with five rows over finite abelian groups

Cites Work

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• Constructions for optimal optical orthogonal codes
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• Partial λ-Geometries and Generalized Hadamard Matrices Over Groups
• Concerning seven and eight mutually orthogonal Latin squares
• Combinatorial constructions of optimal optical orthogonal codes with weight 4
• Further results on optimal (<italic>m</italic>, <italic>n</italic>, 4, 1) optical orthogonal signature pattern codes
• Complete mappings of finite groups
• Orthomorphism graphs of groups

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