Carmelo Interlando, J.Da Nóbrega Neto, Trajano Pires [UNESP]Flores, André LuizDantas Lopes, José Othon2014-05-272014-05-272013-04-01Linear Algebra and Its Applications, v. 438, n. 7, p. 3001-3010, 2013.0024-3795http://hdl.handle.net/11449/74932Let 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.3001-3010engGenerator matricesGeometry of numbersLatticesSphere packingsGenerator matrixLattice constructionSub-latticesCrystal latticesNumber theoryPackingArtigo10.1016/j.laa.2012.10.031WOS:000315830200009Acesso restrito2-s2.0-84873701673