Presentation
(Pseudo)-cocyclic (structured) Hadamard matrices over (quasi)groups
Author/s | Álvarez Solano, Víctor
Armario Sampalo, José Andrés Falcón Ganfornina, Raúl Manuel Frau García, María Dolores Gudiel Rodríguez, Félix Güemes Alzaga, María Belén Kotsireas, Ilias |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2017 |
Deposit Date | 2018-01-22 |
Abstract | 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. ... 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. |
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Alvarez.pdf | 4.083Mb | [PDF] | View/ | |