On higher dimensional cocyclic Hadamard matrices

DOI10.1007/s00200-014-0242-3zbMath1317.15028arXiv1201.4026OpenAlexW3124963252WikidataQ59388594 ScholiaQ59388594MaRDI QIDQ2352520

Pedro Real, María Dolores Frau, Victor Alvarez, José Andrés Armario

Publication date: 2 July 2015

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4026

zbMATH Keywords

cocyclic matrix(co)homological modelproper/improper higher-dimensional Hadamard matrix

Mathematics Subject Classification ID

Boolean and Hadamard matrices (15B34)

Uses Software

• Mathematica
• HadamardSearch

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homological models for semidirect products of finitely generated Abelian groups.
• The maximal determinant of cocyclic (-1,1)-matrices over \(D_{2t}\)
• The homological reduction method for computing cocyclic Hadamard matrices
• On difference matrices, transversal designs, resolvable transversal designs and large sets of mutually orthogonal F-squares
• A weak difference set construction for higher dimensional designs
• Cocyclic Hadamard matrices and Hadamard groups are equivalent
• On the groups \(H(\Pi,n)\). II
• Structured Hadamard Conjecture
• A system of equations for describing cocyclic Hadamard matrices
• Higher-dimensional Hadamard matrices
• Higher dimensional orthogonal designs and applications
• A Mathematica Notebook for Computing the Homology of Iterated Products of Groups
• Calculating Cocyclic Hadamard Matrices in Mathematica: Exhaustive and Heuristic Searches
• Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
• Hadamard matrices and their applications

This page was built for publication: On higher dimensional cocyclic Hadamard matrices