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A family of asymptotically good lattices having a lattice in each dimension

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dc.contributor.authorInterlando, J. Carmelo
dc.contributor.authorFlores, Andre Luiz
dc.contributor.authorDa Nobrega Neto, Trajano Pires [UNESP]
dc.contributor.institutionSan Diego State Univ
dc.contributor.institutionUniv Fed Alagoas
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2015-03-18T15:55:34Z
dc.date.available2015-03-18T15:55:34Z
dc.date.issued2008-02-01
dc.description.abstractA new constructive family of asymptotically good lattices with respect to sphere packing density is presented. The family has a lattice in every dimension n >= 1. Each lattice is obtained from a conveniently chosen integral ideal in a subfield of the cyclotomic field Q(zeta(q)) where q is the smallest prime congruent to 1 modulo n.en
dc.description.affiliationSan Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA
dc.description.affiliationUniv Fed Alagoas, Dept Matemat, BR-57300970 Arapiraca, AL, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.format.extent147-154
dc.identifierhttp://dx.doi.org/10.1142/S1793042108001262
dc.identifier.citationInternational Journal Of Number Theory. Singapore: World Scientific Publ Co Pte Ltd, v. 4, n. 1, p. 147-154, 2008.
dc.identifier.doi10.1142/S1793042108001262
dc.identifier.issn1793-0421
dc.identifier.urihttp://hdl.handle.net/11449/117219
dc.identifier.wosWOS:000253123900011
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal Of Number Theory
dc.relation.ispartofjcr0.536
dc.relation.ispartofsjr0,865
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectlatticesen
dc.subjectsphere packingsen
dc.subjectcenter densityen
dc.subjectnumber fieldsen
dc.subjectgeometry of numbersen
dc.subjectcyclotomic fieldsen
dc.subjectCraig's latticesen
dc.titleA family of asymptotically good lattices having a lattice in each dimensionen
dc.typeArtigo
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas