Cocyclic generalised Hadamard matrices and central relative difference sets

DOI10.1023/A:1008367718018zbMath0919.05007OpenAlexW1502208604MaRDI QIDQ1273539

A. A. I. Perera, Kathy Horadam

Publication date: 31 August 1999

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

Full work available at URL: https://doi.org/10.1023/a:1008367718018

zbMATH Keywords

generalized Hadamard matrixcentral relative difference sets

Mathematics Subject Classification ID

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

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Generalized Hadamard full propelinear codes ⋮ Classifying Cocyclic Butson Hadamard Matrices ⋮ Divisible designs and semi-regular relative difference sets from additive Hadamard cocycles ⋮ Twisted product of cocycles and factorization of semi-regular relative difference sets ⋮ Relative difference sets fixed by inversion. III: Cocycle theoretical approach ⋮ The shift action on 2-cocycles. ⋮ Non-splitting abelian \((4t,2,4t,2t)\) relative difference sets and Hadamard cocycles ⋮ Equivalence classes of multiplicative central \((p^{n}, p^{n}, p^{n}, 1)\)-relative difference sets ⋮ Cocyclic Hadamard matrices and difference sets ⋮ On cocyclic weighing matrices and the regular group actions of certain Paley matrices ⋮ An introduction to cocyclic generalised Hadamard matrices ⋮ Bundles, presemifields and nonlinear functions ⋮ A Concise Guide to Complex Hadamard Matrices

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