Two matrix-based lattice construction techniques

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorSan Diego State University
dc.contributorUniversidade Federal de Alagoas (UFAL)
dc.contributorUniversidade Federal do Ceará (UFC)
dc.date.accessioned2014-05-27T11:28:45Z
dc.date.accessioned2022-10-05T18:46:46Z
dc.date.available2014-05-27T11:28:45Z
dc.date.available2022-10-05T18:46:46Z
dc.date.created2014-05-27T11:28:45Z
dc.date.issued2013-04-01
dc.identifierLinear Algebra and Its Applications, v. 438, n. 7, p. 3001-3010, 2013.
dc.identifier0024-3795
dc.identifierhttp://hdl.handle.net/11449/74932
dc.identifier10.1016/j.laa.2012.10.031
dc.identifierWOS:000315830200009
dc.identifier2-s2.0-84873701673
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3923882
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.
dc.languageeng
dc.relationLinear Algebra and Its Applications
dc.relation0.972
dc.relation0,994
dc.rightsAcesso 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 techniques
dc.typeArtigo


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