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Título
The Poincaré Polynomial of a Linear Code
dc.contributor.authorGalindo, Carlos
dc.contributor.authorHernando, Fernando
dc.contributor.authorMonserrat, Francisco
dc.contributor.authorPellikaan, Ruud
dc.date.accessioned2019-05-24T10:40:06Z
dc.date.available2019-05-24T10:40:06Z
dc.date.issued2018
dc.identifier.citationSingularities, Algebraic Geometry, Commutative Algebra, and Related Topics (Festschrift for Antonio Campillo on the Occasion of his 65th Birthday), 2018, p. 525-535es
dc.identifier.isbn978-3-319-96827-8es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/36079
dc.descriptionProducción Científicaes
dc.description.abstractWe introduce the Poincar´e polynomial of a linear q-ary code and its relation to the corresponding weight enumerator. We prove that the Poincar´e polynomial is a complete invariant of the code in the binary and ternary case and it is not when q ≥ 4. Finally we determine this polynomial for MDS codes and, by means of a recursive formula, for binary Reed-Muller codes.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherSpringer Linkes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.classificationPoincaré Polynomiales
dc.subject.classificationPolinomio de Poincarées
dc.subject.classificationLinear codees
dc.subject.classificationCódigo lineales
dc.titleThe Poincaré Polynomial of a Linear Codees
dc.typeinfo:eu-repo/semantics/bookPartes
dc.rights.holder© 2018 Springeres
dc.relation.publisherversionhttps://link.springer.com/chapter/10.1007/978-3-319-96827-8_23es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International


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