Cocyclic development of designs

DOI10.1023/A:1022403732401zbMath0785.05019OpenAlexW1532853593MaRDI QIDQ687003

Warwick de Launey, Kathy Horadam

Publication date: 3 January 1994

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022403732401

zbMATH Keywords

Hadamard matriceshomology groupdifference setorthogonal designextension groupweighing matricescocyclic matrix\(\omega\)-cyclic developmentcocyclic development of designsnegacyclic development

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Cohomology of groups (20J06) Orthogonal arrays, Latin squares, Room squares (05B15) Homological methods in group theory (20J05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (22)

A mixed heuristic for generating cocyclic Hadamard matrices ⋮ About a class of Hadamard propelinear codes ⋮ Cocyclic Hadamard matrices and Hadamard groups are equivalent ⋮ Hadamard full propelinear codes of type Q; rank and kernel ⋮ On an inequivalence criterion for cocyclic Hadamard matrices ⋮ Calculation of cocyclic matrices ⋮ On ZZt×ZZ22-Cocyclic Hadamard Matrices ⋮ Cocyclic Hadamard matrices over Latin rectangles ⋮ The cocyclic Hadamard matrices of order less than 40 ⋮ Divisible designs and semi-regular relative difference sets from additive Hadamard cocycles ⋮ 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 ⋮ Cocyclic orthogonal designs and the asymptotic existence of cocyclic Hadamard matrices and maximal size relative difference sets with forbidden subgroup of size 2 ⋮ Determinants of \((-1,1)\)-matrices of the skew-symmetric type: a cocyclic approach ⋮ A weak difference set construction for higher dimensional designs ⋮ Homological models for semidirect products of finitely generated Abelian groups. ⋮ Computing 2-cocyeles for central extensions and relative difference sets ⋮ On D4t-Cocyclic Hadamard Matrices ⋮ The maximal determinant of cocyclic (-1,1)-matrices over \(D_{2t}\) ⋮ On the asymptotic existence of cocyclic Hadamard matrices ⋮ Hadamard and conference matrices

Cites Work

• A weak difference set construction for higher dimensional designs
• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• Families of Generalized Weighing Matrices
• Orthogonal Matrices with Zero Diagonal. II
• The Second Homology Group of a Group; Relations among Commutators
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