A weak difference set construction for higher dimensional designs

DOI10.1007/BF01389357zbMath0838.05019OpenAlexW2008952375MaRDI QIDQ1209226

Warwick de Launey, Kathy Horadam

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1007/bf01389357

zbMATH Keywords

Hadamard matricesorthogonal designsweighing matricesconference matricesgroup developmenthigher dimensional designsweak difference set

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Designs and configurations (05B99)

Related Items (14)

Cocyclic Hadamard matrices and Hadamard groups are equivalent ⋮ On an inequivalence criterion for cocyclic Hadamard matrices ⋮ Calculation of cocyclic matrices ⋮ Cocyclic Hadamard matrices over Latin rectangles ⋮ Cocyclic Hadamard matrices and difference sets ⋮ An introduction to cocyclic generalised Hadamard matrices ⋮ Cocyclic development of designs ⋮ Cocyclic orthogonal designs and the asymptotic existence of cocyclic Hadamard matrices and maximal size relative difference sets with forbidden subgroup of size 2 ⋮ Homological models for semidirect products of finitely generated Abelian groups. ⋮ Computing 2-cocyeles for central extensions and relative difference sets ⋮ The maximal determinant of cocyclic (-1,1)-matrices over \(D_{2t}\) ⋮ On the asymptotic existence of cocyclic Hadamard matrices ⋮ On higher dimensional cocyclic Hadamard matrices ⋮ Hadamard and conference matrices

Cites Work

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• Cocyclic development of designs
• Higher-dimensional Hadamard matrices
• Higher dimensional orthogonal designs and applications
• Families of Generalized Weighing Matrices
• Hadamard matrices and their applications

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