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Dual toric codes and polytopes of degree one

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dc.creatorUmaña V.G.spa
dc.creatorVelasco M.spa
dc.date.accessioned2020-05-26T00:01:00Z
dc.date.available2020-05-26T00:01:00Z
dc.date.created2015spa
dc.description.abstractWe define a statistical measure of the typical size of words of low weight in a linear code over a finite field. We prove that the dual toric codes coming from polytopes of degree one are characterized, among all dual toric codes, by being extremal with respect to this measure. We also give a geometric interpretation of the minimum distance of dual toric codes and characterize its extremal values. Finally, we obtain exact formulas for the parameters of both primal and dual toric codes associated to polytopes of degree one. © 2015 Society for Industrial and Applied Mathematics.eng
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.1137/140966228
dc.identifier.issn10957146
dc.identifier.issn08954801
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/23299
dc.language.isoengspa
dc.publisherSociety for Industrial and Applied Mathematics Publicationsspa
dc.relation.citationEndPage692
dc.relation.citationIssueNo. 1
dc.relation.citationStartPage683
dc.relation.citationTitleSIAM Journal on Discrete Mathematics
dc.relation.citationVolumeVol. 29
dc.relation.ispartofSIAM Journal on Discrete Mathematics, ISSN:10957146, 08954801, Vol.29, No.1 (2015); pp. 683-692spa
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84982296411&doi=10.1137%2f140966228&partnerID=40&md5=f6db4e6d2f9eef4ce95e6a1c5f5d2238spa
dc.rights.accesRightsinfo:eu-repo/semantics/openAccess
dc.rights.accesoAbierto (Texto Completo)spa
dc.source.instnameinstname:Universidad del Rosariospa
dc.source.reponamereponame:Repositorio Institucional EdocURspa
dc.subject.keywordTopologyspa
dc.subject.keywordExact formulasspa
dc.subject.keywordFinite fieldsspa
dc.subject.keywordGeometric interpretationspa
dc.subject.keywordLinear codesspa
dc.subject.keywordMinimal degreespa
dc.subject.keywordMinimum distancespa
dc.subject.keywordStatistical measuresspa
dc.subject.keywordToric varietiesspa
dc.subject.keywordCodes (symbols)spa
dc.subject.keywordCodes over finite fieldsspa
dc.subject.keywordToric varietiesspa
dc.subject.keywordVarieties of minimal degreespa
dc.titleDual toric codes and polytopes of degree onespa
dc.typearticleeng
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersion
dc.type.spaArtículospa
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