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New upper bounds for kissing numbers from semidefinite programming

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBACHOC, Christine
dc.contributor.authorVALLENTIN, Frank
dc.date.accessioned2024-04-04T03:02:59Z
dc.date.available2024-04-04T03:02:59Z
dc.date.created2007-10-03
dc.date.issued2008
dc.identifier.issn0894-0347
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193034
dc.description.abstractEnRecently A. Schrijver derived new upper bounds for binary codes using semidefinite programming. In this paper we adapt this approach to codes on the unit sphere and we compute new upper bounds for the kissing number in several dimensions. In particular our computations give the (known) values for the cases n = 3, 4, 8, 24.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.title.enNew upper bounds for kissing numbers from semidefinite programming
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Géométrie métrique [math.MG]
dc.subject.halMathématiques [math]/Combinatoire [math.CO]
dc.identifier.arxivmath/0608426
bordeaux.journalJournal of the American Mathematical Society
bordeaux.page909--924
bordeaux.volume21
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00196156
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00196156v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20the%20American%20Mathematical%20Society&rft.date=2008&rft.volume=21&rft.spage=909--924&rft.epage=909--924&rft.eissn=0894-0347&rft.issn=0894-0347&rft.au=BACHOC,%20Christine&VALLENTIN,%20Frank&rft.genre=article


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