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Commutative group codes in R4, R6, R8 and R16-Approaching the bound

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dc.contributor.authorAlves, Carina [UNESP]
dc.contributor.authorCosta, Sueli I. R.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-27T11:29:29Z
dc.date.available2014-05-27T11:29:29Z
dc.date.issued2013-05-10
dc.description.abstractSpherical codes in even dimensions n = 2m generated by a commutative group of orthogonal matrices can be determined by a quotient of m-dimensional lattices when the sublattice has an orthogonal basis. We discuss here the existence of orthogonal sublattices of the lattices A2, D3, D4 and E8, which have the best packing density in their dimensions, in order to generate families of commutative group codes approaching the bound presented in Siqueira and Costa (2008) [14]. © 2013 Elsevier B.V. All rights reserved.en
dc.description.affiliationDepartment of Mathematics Sao Paulo State University (UNESP), 13506-900, Rio-Claro, SP
dc.description.affiliationUniversity of Campinas (UNICAMP) IMECC, 13083-859, Campinas-SP
dc.description.affiliationUnespDepartment of Mathematics Sao Paulo State University (UNESP), 13506-900, Rio-Claro, SP
dc.format.extent1677-1687
dc.identifierhttp://dx.doi.org/10.1016/j.disc.2013.04.005
dc.identifier.citationDiscrete Mathematics, v. 313, n. 16, p. 1677-1687, 2013.
dc.identifier.doi10.1016/j.disc.2013.04.005
dc.identifier.issn0012-365X
dc.identifier.scopus2-s2.0-84884813554
dc.identifier.urihttp://hdl.handle.net/11449/75379
dc.identifier.wosWOS:000320680100008
dc.language.isoeng
dc.relation.ispartofDiscrete Mathematics
dc.relation.ispartofjcr0.738
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectGroup codes
dc.subjectLattices
dc.subjectMinimum distance
dc.subjectPacking density
dc.subjectSpherical codes
dc.titleCommutative group codes in R4, R6, R8 and R16-Approaching the bounden
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dspace.entity.typePublication
unesp.author.lattes7045870107955099[1]
unesp.author.orcid0000-0002-3555-392X[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentMatemática - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas