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dc.contributor.authorFarrán Martín, José Ignacio 
dc.contributor.authorGarcía Sánchez, Pedro A.
dc.contributor.authorHeredia, Benjamín A.
dc.date.accessioned2019-05-06T12:11:10Z
dc.date.available2019-05-06T12:11:10Z
dc.date.issued2018
dc.identifier.citationDesigns, Codes and Cryptography, 2018, vol. 86, n. 12, p. 2893-2916es
dc.identifier.issn1573-7586es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/35938
dc.descriptionProducción Científicaes
dc.description.abstractWe describe the second (generalized) Feng-Rao distance for elements in an Arf numerical semigroup that are greater than or equal to the conductor of the semigroup. This provides a lower bound for the second Hamming weight for one point AG codes. In particular, we can obtain the second Feng-Rao distance for the codes defined by asymptotically good towers of function fields whose Weierstrass semigroups are inductive. In addition, we compute the second Feng-Rao number, and provide some examples and comparisons with previous results on this topic. These calculations rely on Apéry sets, and thus several results concerning Apéry sets of Arf semigroups are presented.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.classificationAlgebraic geometry codeses
dc.subject.classificationCódigo geométrico-algebráicoes
dc.subject.classificationFeng-Rao distancees
dc.subject.classificationDistancia Feng-Raoes
dc.subject.classificationArf semigroupses
dc.subject.classificationSemigrupos de Arfes
dc.titleOn the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroupses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2018 Springeres
dc.identifier.doihttps://doi.org/10.1007/s10623-018-0483-4es
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs10623-018-0483-4es
dc.peerreviewedSIes
dc.description.projectMinisterio de Economía, Industria y Competitividad; y Fondo Europeo de Desarrollo Regional FEDER( Projects MTM2014-55367-P / MTM2015-65764-C3-1-P)es
dc.description.projectJunta de Andalucía (Grant FQM-343)es
dc.description.projectFundação para a Ciência e a Tecnologia (Project UID/MAT/00297/2013)es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International


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