Two matrix-based lattice construction techniques

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dc.contributor.authorCarmelo Interlando, J.
dc.contributor.authorDa Nóbrega Neto, Trajano Pires [UNESP]
dc.contributor.authorFlores, André Luiz
dc.contributor.authorDantas Lopes, José Othon
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionSan Diego State University
dc.contributor.institutionUniversidade Federal de Alagoas (UFAL)
dc.contributor.institutionUniversidade Federal do Ceará (UFC)
dc.date.accessioned2014-05-27T11:28:45Z
dc.date.available2014-05-27T11:28:45Z
dc.date.issued2013-04-01
dc.description.abstractLet m and n be integers greater than 1. Given lattices A and B of dimensions m and n, respectively, a technique for constructing a lattice from them of dimension m+n-1 is introduced. Furthermore, if A and B possess bases satisfying certain conditions, then a second technique yields a lattice of dimension m+n-2. The relevant parameters of the new lattices are given in terms of the respective parameters of A,B, and a lattice C isometric to a sublattice of A and B. Denser sphere packings than previously known ones in dimensions 52, 68, 84, 248, 520, and 4098 are obtained. © 2012 Elsevier Inc. All rights reserved.en
dc.description.affiliationDepartamento de Matemática Universidade Estadual Paulista, Rua Cristóvão Colombo, 2265, 15054-000 São José do Rio Preto, SP
dc.description.affiliationDepartment of Mathematics and Statistics San Diego State University, 5500 Campanile Drive, San Diego, CA 92182-7720
dc.description.affiliationDepartamento de Matemática Universidade Federal de Alagoas, Av. Lourival Melo Mota, s/n, 57072-900 Maceió, AL
dc.description.affiliationDepartamento de Matemática Universidade Federal Do Ceará, Campus do Pici-Bloco 914, 60455-760 Fortaleza, CE
dc.description.affiliationUnespDepartamento de Matemática Universidade Estadual Paulista, Rua Cristóvão Colombo, 2265, 15054-000 São José do Rio Preto, SP
dc.format.extent3001-3010
dc.identifierhttp://dx.doi.org/10.1016/j.laa.2012.10.031
dc.identifier.citationLinear Algebra and Its Applications, v. 438, n. 7, p. 3001-3010, 2013.
dc.identifier.doi10.1016/j.laa.2012.10.031
dc.identifier.issn0024-3795
dc.identifier.scopus2-s2.0-84873701673
dc.identifier.urihttp://hdl.handle.net/11449/74932
dc.identifier.wosWOS:000315830200009
dc.language.isoeng
dc.relation.ispartofLinear Algebra and Its Applications
dc.relation.ispartofjcr0.972
dc.relation.ispartofsjr0,994
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectGenerator matrices
dc.subjectGeometry of numbers
dc.subjectLattices
dc.subjectSphere packings
dc.subjectGenerator matrix
dc.subjectLattice construction
dc.subjectSub-lattices
dc.subjectCrystal lattices
dc.subjectNumber theory
dc.subjectPacking
dc.titleTwo matrix-based lattice construction techniquesen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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