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Algebraic constructions of densest lattices

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dc.contributor.authorJorge, Grasiele C.
dc.contributor.authorAndrade, Antonio Aparecido de [UNESP]
dc.contributor.authorCosta, Sueli I. R.
dc.contributor.authorStrapasson, Joao E.
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2015-10-22T06:45:45Z
dc.date.available2015-10-22T06:45:45Z
dc.date.issued2015-05-01
dc.description.abstractThe aim of this paper is to investigate rotated versions of the densest known lattices in dimensions 2, 3, 4, 5, 6, 7, 8, 12 and 24 constructed via ideals and free Z-modules that are not ideals in subfields of cyclotomic fields. The focus is on totally real number fields and the associated full diversity lattices which may be suitable for signal transmission over both Gaussian and Rayleigh fading channels. We also discuss on the existence of a number field K such that it is possible to obtain the lattices A(2), E-6 and E-7 via a twisted embedding applied to a fractional ideal of O-K. (C) 2015 Elsevier Inc. All rights reserved.en
dc.description.affiliationUniv Fed Sao Paulo, UNIFESP, BR-12247014 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationSao Paulo State Univ, UNESP, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, UNICAMP, BR-13083859 Campinas, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, UNICAMP, BR-13484350 Limeira, SP, Brazil
dc.description.affiliationUnespSao Paulo State Univ, UNESP, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCNPq: 150802/2012-9
dc.description.sponsorshipIdCNPq: 312926/2013-8
dc.description.sponsorshipIdFAPESP: 2013/25977-7
dc.format.extent218-235
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0021869315000526
dc.identifier.citationJournal Of Algebra. San Diego: Academic Press Inc Elsevier Science, v. 429, p. 218-235, 2015.
dc.identifier.doi10.1016/j.jalgebra.2014.12.044
dc.identifier.issn0021-8693
dc.identifier.lattes8940498347481982
dc.identifier.urihttp://hdl.handle.net/11449/129764
dc.identifier.wosWOS:000352183600009
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal Of Algebra
dc.relation.ispartofjcr0.675
dc.relation.ispartofsjr1,187
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectAlgebraic number theoryen
dc.subjectLatticesen
dc.subjectPacking densityen
dc.subjectDiversityen
dc.subjectMinimum product distanceen
dc.subjectCoding theoryen
dc.titleAlgebraic constructions of densest latticesen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.author.lattes8940498347481982[2]
unesp.author.orcid0000-0001-9079-5860[4]
unesp.author.orcid0000-0001-6452-2236[2]
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