On D4t-Cocyclic Hadamard Matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo

doi:10.1002/jcd.21510

Artículo

dc.creator	Álvarez Solano, Víctor	es
dc.creator	Armario Sampalo, José Andrés	es
dc.creator	Frau García, María Dolores	es
dc.creator	Gudiel Rodríguez, Félix	es
dc.creator	Güemes Alzaga, María Belén	es
dc.creator	Osuna Lucena, Amparo	es
dc.date.accessioned	2021-06-25T10:21:22Z
dc.date.available	2021-06-25T10:21:22Z
dc.date.issued	2016
dc.identifier.citation	Álvarez Solano, V., Armario Sampalo, J.A., Frau García, M.D., Gudiel Rodríguez, F., Güemes Alzaga, M.B. y Osuna Lucena, A. (2016). On D4t-Cocyclic Hadamard Matrices. Journal of Combinatorial Designs, 24 (8), 352-368.
dc.identifier.issn	1063-8539	es
dc.identifier.uri	https://hdl.handle.net/11441/114849
dc.description.abstract	In this paper, we describe some necessary and sufficient conditions for a set of coboundaries to yield a cocyclic Hadamard matrix over the dihedral group D4t. Using this characterization, new classification results for certain cohomology classes of cocycles over D4t are obtained, extending existing exhaustive calculations for cocyclic Hadamard matrices over D4t from order 36 to order 44. We also define some transformations over coboundaries, which preserve orthogonality of D4t -cocycles. These transformations are shown to correspond to Horadam’s bundle equivalence operations enriched with duals of cocycles.	es
dc.description.sponsorship	Junta de Andalucía FQM-016	es
dc.format	application/pdf	es
dc.format.extent	17	es
dc.language.iso	eng	es
dc.publisher	Wiley	es
dc.relation.ispartof	Journal of Combinatorial Designs, 24 (8), 352-368.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Hadamard matrix	es
dc.subject	Ito’s type Q Hadamard matrix	es
dc.subject	shift equivalence	es
dc.title	On D4t-Cocyclic Hadamard Matrices	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de álgebra	es
dc.relation.projectID	FQM-016	es
dc.relation.publisherversion	https://onlinelibrary.wiley.com/doi/full/10.1002/jcd.21510	es
dc.identifier.doi	10.1002/jcd.21510	es
dc.journaltitle	Journal of Combinatorial Designs	es
dc.publication.volumen	24	es
dc.publication.issue	8	es
dc.publication.initialPage	352	es
dc.publication.endPage	368	es
dc.contributor.funder	Junta de Andalucía	es

Ficheros	Tamaño	Formato	Ver	Descripción
On‐Cocyclic Hadamard Matrices.pdf	202.3Kb	[PDF]	Ver/Abrir

Este registro aparece en las siguientes colecciones

Artículos (Matemática Aplicada I)

Mostrar el registro sencillo del ítem

Excepto si se señala otra cosa, la licencia del ítem se describe como: Attribution-NonCommercial-NoDerivatives 4.0 Internacional