Necessary conditions for Menon difference sets

DOI10.1007/BF01388413zbMath0783.05024OpenAlexW2028825982MaRDI QIDQ1802194

Wai Kiu Chan

Publication date: 21 July 1993

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01388413

zbMATH Keywords

nonexistenceHadamard difference setMenon difference sets

Mathematics Subject Classification ID

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

Related Items (9)

Cyclotomic integers and finite geometry ⋮ Nested Hadamard difference sets ⋮ New necessary conditions for abelian Hadamard difference sets ⋮ The combinatorics of binary arrays ⋮ The anti-field-descent method ⋮ New restrictions on possible orders of circulant Hadamard matrices ⋮ Impossibility of a certain cyclotomic equation with applications to difference sets ⋮ Cyclotomic integers of prescribed absolute value and the class group ⋮ Nonexistence of certain perfect arrays

Cites Work

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• A special class of Williamson matrices and difference sets
• Generalized perfect arrays and Menon difference sets
• New constructions of Menon difference sets
• Nonexistence of certain perfect arrays
• Perfect binary arrays and difference sets
• Character sums and difference sets
• On Difference Sets Whose Parameters Satisfy a Certain Relation

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