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(Pseudo)-cocyclic (structured) Hadamard matrices over (quasi)groups

Opened Access (Pseudo)-cocyclic (structured) Hadamard matrices over (quasi)groups
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Autor: Álvarez Solano, Víctor
Armario Sampalo, José Andrés
Falcón Ganfornina, Raúl Manuel
Frau García, María Dolores
Gudiel Rodríguez, Félix
Güemes Alzaga, María Belén
Kotsireas, Ilias
Departamento: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Universidad de Sevilla. Departamento de álgebra
Fecha: 2017
Tipo de documento: Ponencia
Resumen: Progressing on a survey of the state of the art of cocyclic constructions for Hadamard matrices, we will prove that the family of Goethals-Seidel Hadamard matrices is (pseudo)-cocyclic over a certain family of quasigroups. Therefore, what we call (pseudo)-cocyclic (structured) Hadamard matrices over (quasi)groups, precisely those matrices satisfying some kind of cocycle Hadamard test known so far, include most of the well-known and prolific constructions of Hadamard matrices. We will discuss also different approaches in order to look for large matrices of this type.
Tamaño: 4.083Mb
Formato: PDF

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