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Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBACHOC, Christine
dc.contributor.authorVALLENTIN, Frank
dc.date.accessioned2024-04-04T03:02:54Z
dc.date.available2024-04-04T03:02:54Z
dc.date.created2007-10-18
dc.date.issued2009-04
dc.identifier.issn0195-6698
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193029
dc.description.abstractEnWe apply the semidefinite programming approach developed in arxiv:math.MG/0608426 to obtain new upper bounds for codes in spherical caps. We compute new upper bounds for the one-sided kissing number in several dimensions where we in particular get a new tight bound in dimension 8. Furthermore we show how to use the SDP framework to get analytic bounds.
dc.description.sponsorshipNouvelles interactions des codes correcte d'erre - ANR-06-BLAN-0408
dc.language.isoen
dc.publisherElsevier
dc.title.enSemidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps
dc.typeArticle de revue
dc.identifier.doi10.1016/j.ejc.2008.07.017
dc.subject.halMathématiques [math]/Géométrie métrique [math.MG]
dc.subject.halMathématiques [math]/Combinatoire [math.CO]
dc.subject.halMathématiques [math]/Théorie de l'information et codage [math.IT]
dc.subject.halInformatique [cs]/Théorie de l'information [cs.IT]
dc.identifier.arxivmath/0610856
bordeaux.journalEuropean Journal of Combinatorics
bordeaux.page625-637
bordeaux.volume30
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00196164
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00196164v1
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