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Constructions of Grassmannian Simplices

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCREIGNOU, Jean
dc.date.accessioned2024-04-04T02:54:40Z
dc.date.available2024-04-04T02:54:40Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192291
dc.description.abstractEnIn this article an explicit method (relying on representation theory) to construct packings in Grassmannian space is presented. Infinite families of configurations having only one non-trivial set of principal angles are found using 2-transitive groups. These packings are proved to reach the simplex bound and are therefore optimal w.r.t. the chordal distance. The construction is illustrated by an example on the symmetric group. Then some natural extends and consequences of this situation are given.
dc.language.isoen
dc.subject.enExplicit construction
dc.subject.enGrassmannian packing
dc.subject.enSpace-time coding
dc.subject.enSimplex bound
dc.subject.enWireless communication
dc.title.enConstructions of Grassmannian Simplices
dc.typeDocument de travail - Pré-publication
dc.subject.halInformatique [cs]/Théorie de l'information [cs.IT]
dc.subject.halMathématiques [math]/Théorie de l'information et codage [math.IT]
dc.identifier.arxivcs/0703036
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00135498
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00135498v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CREIGNOU,%20Jean&rft.genre=preprint


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