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dc.contributor.authorCarmelo Interlando, J.-
dc.contributor.authorDa Nóbrega Neto, Trajano Pires-
dc.contributor.authorFlores, André Luiz-
dc.contributor.authorDantas Lopes, José Othon-
dc.identifier.citationLinear Algebra and Its Applications, v. 438, n. 7, p. 3001-3010, 2013.-
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.subjectGenerator matrices-
dc.subjectGeometry of numbers-
dc.subjectSphere packings-
dc.subjectGenerator matrix-
dc.subjectLattice construction-
dc.subjectCrystal lattices-
dc.subjectNumber theory-
dc.titleTwo matrix-based lattice construction techniquesen
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.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.rights.accessRightsAcesso restrito-
dc.relation.ispartofLinear Algebra and Its Applications-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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