New constructions of Menon difference sets

DOI10.1016/0097-3165(93)90101-DzbMath0795.05032OpenAlexW2036560720MaRDI QIDQ1318371

James A. Davis, Jonathan Jedwab, Surinder K. Sehgal, K. T. Arasu

Publication date: 11 September 1994

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(93)90101-d

zbMATH Keywords

perfect binary arraysMenon-Hadamard difference sets

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (9)

A nonexistence result for Abelian Menon difference sets using perfect binary arrays ⋮ Nested Hadamard difference sets ⋮ The combinatorics of binary arrays ⋮ A unifying construction for difference sets ⋮ Necessary conditions for Menon difference sets ⋮ Highly nonlinear mappings ⋮ On reversible abelian Hadamard difference sets ⋮ Preface to the special issue on ArasuFest ⋮ Almost difference sets and reversible divisible difference sets

Cites Work

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• A special class of Williamson matrices and difference sets
• Variations on a scheme of McFarland for noncyclic difference sets
• Generalized perfect arrays and Menon difference sets
• Hadamard matrices, Baumert-Hall units, four-symbol sequences, pulse compression, and surface wave encodings
• Character sums and difference sets
• A family of difference sets in non-cyclic groups
• Nonexistence of perfect binary arrays
• Summary of perfect s×t arrays, 1≤s≤t≤100

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