Circulant weighing matrices of weight \(2^{2t}\)

DOI10.1007/s10623-006-0026-2zbMath1200.05042OpenAlexW1964020626MaRDI QIDQ851778

Ka Hin Leung, Ali Nabavi, K. T. Arasu, D. K. Ray-Chaudhuri, Siu Lun Ma

Publication date: 22 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10623-006-0026-2

zbMATH Keywords

CharactersCirculantWeighing matricesMultipliersGroup rings

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Hermitian, skew-Hermitian, and related matrices (15B57) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (8)

New nonexistence results on circulant weighing matrices ⋮ Structure of group invariant weighing matrices of small weight ⋮ Unnamed Item ⋮ Finiteness of circulant weighing matrices of fixed weight ⋮ A feasibility approach for constructing combinatorial designs of circulant type ⋮ Paley type sets from cyclotomic classes and Aarasu-Dillon-Player difference sets ⋮ Group invariant weighing matrices ⋮ Constructions of relative difference sets with classical parameters and circulant weighing matri\-ces

Cites Work

• Unnamed Item
• Planar functions, relative difference sets, and character theory
• Abelian difference sets without self-conjugacy
• New necessary conditions for the existence of difference sets without self-conjugacy
• Some new results on circulant weighing matrices
• Constructions of relative difference sets with classical parameters and circulant weighing matri\-ces
• Symmetric weighing matrices constructed using group matrices
• Cyclic relative difference sets with classical parameters

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