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Optimality and uniqueness of the (4,10,1/6) spherical code

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBACHOC, Christine
dc.contributor.authorVALLENTIN, Frank
dc.date.accessioned2024-04-04T03:02:53Z
dc.date.available2024-04-04T03:02:53Z
dc.date.created2007-08-29
dc.date.issued2009-01
dc.identifier.issn0097-3165
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193028
dc.description.abstractEnTraditionally, optimality and uniqueness of an (n,N,t) spherical code is proved using linear programming bounds. However, this approach does not apply to the parameter (4,10,1/6). We use semidefinite programming bounds instead to show that the Petersen code (which are the vertices of the 4-dimensional second hypersimplex or the midpoints of the edges of the regular simplex in dimension 4) is the unique (4,10,1/6) spherical code.
dc.language.isoen
dc.publisherElsevier
dc.title.enOptimality and uniqueness of the (4,10,1/6) spherical code
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcta.2008.05.001
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.arxiv0708.3947
bordeaux.journalJournal of Combinatorial Theory, Series A
bordeaux.page195-204
bordeaux.volume116
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00196165
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00196165v1
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