Generalized Hadamard full propelinear codes

Armario Sampalo, José Andrés; Bailera, Iván; Egan, Ronan

doi:10.1007/s10623-020-00827-7

Artículo

dc.creator	Armario Sampalo, José Andrés	es
dc.creator	Bailera, Iván	es
dc.creator	Egan, Ronan	es
dc.date.accessioned	2021-06-29T10:21:07Z
dc.date.available	2021-06-29T10:21:07Z
dc.date.issued	2021
dc.identifier.citation	Armario Sampalo, J.A., Bailera, I. y Egan, R. (2021). Generalized Hadamard full propelinear codes. Designs, Codes and Cryptography, 89 (1), 599-615.
dc.identifier.issn	0925-1022	es
dc.identifier.uri	https://hdl.handle.net/11441/114931
dc.description.abstract	Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized Hadamard full propelinear codes turns out. We prove that their existence is equivalent to the existence of central relative (v,w, v, v/w)-difference sets. Moreover, some structural properties of these codes are studied and examples are provided.	es
dc.description.sponsorship	Junta de Andalucía FQM-016	es
dc.description.sponsorship	Ministerio de Ciencia, Innovación y Universidades TIN2016-77918-P	es
dc.format	application/pdf	es
dc.format.extent	21	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Designs, Codes and Cryptography, 89 (1), 599-615.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Cocycles	es
dc.subject	generalized Hadamard matrices	es
dc.subject	difference sets	es
dc.subject	propelinear codes	es
dc.subject	rank	es
dc.subject	kernel	es
dc.title	Generalized Hadamard full propelinear codes	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.relation.projectID	FQM-016	es
dc.relation.projectID	TIN2016-77918-P	es
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s10623-020-00827-7	es
dc.identifier.doi	10.1007/s10623-020-00827-7	es
dc.journaltitle	Designs, Codes and Cryptography	es
dc.publication.volumen	89	es
dc.publication.issue	1	es
dc.publication.initialPage	599	es
dc.publication.endPage	615	es
dc.contributor.funder	Junta de Andalucía	es
dc.contributor.funder	Ministerio de Ciencia, Innovación y Universidades (MICINN). España	es

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