Cocyclic Hadamard matrices and difference sets

DOI10.1016/S0166-218X(99)00230-9zbMath0956.05026OpenAlexW2054788067WikidataQ128099372 ScholiaQ128099372MaRDI QIDQ1972907

Warwick de Launey, Kathy Horadam, Dane L. Flannery

Publication date: 4 March 2001

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-218x(99)00230-9

zbMATH Keywords

Hadamard matrixdifference setcocycleperfect binary array

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Cohomology of groups (20J06) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (22)

Quasi-Hadamard full propelinear codes ⋮ About a class of Hadamard propelinear codes ⋮ Generalized Hadamard full propelinear codes ⋮ Hadamard $$\mathbb{Z}_{2}\mathbb{Z}_{4}Q_{8}$$ -Codes: Rank and Kernel ⋮ Cocyclic Hadamard matrices and Hadamard groups are equivalent ⋮ Hadamard full propelinear codes of type Q; rank and kernel ⋮ Elementary geometry on the integer lattice ⋮ On equivalence of negaperiodic Golay pairs ⋮ The cocyclic Hadamard matrices of order less than 40 ⋮ Non-splitting abelian \((4t,2,4t,2t)\) relative difference sets and Hadamard cocycles ⋮ On cocyclic weighing matrices and the regular group actions of certain Paley matrices ⋮ An introduction to cocyclic generalised Hadamard matrices ⋮ About some Hadamard full propelinear \((2t,2,2)\)-codes. Rank and kernel ⋮ Cocyclic orthogonal designs and the asymptotic existence of cocyclic Hadamard matrices and maximal size relative difference sets with forbidden subgroup of size 2 ⋮ On Hadamard full propelinear codes with associated group \(C_{2t}\times C_2\) ⋮ On D4t-Cocyclic Hadamard Matrices ⋮ On the asymptotic existence of Hadamard matrices ⋮ Unnamed Item ⋮ Generalized binary arrays from quasi-orthogonal cocycles ⋮ On the asymptotic existence of cocyclic Hadamard matrices ⋮ On linear shift representations. ⋮ Hadamard and conference matrices

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