| Texto completo | |
| Autor(es): |
Carmelo Interlando, J.
[1]
;
da Nobrega Neto, Trajano Pires
[2]
;
Flores, Andre Luiz
[3]
;
Dantas Lopes, Jose Othon
[4]
Número total de Autores: 4
|
| Afiliação do(s) autor(es): | [1] San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 - USA
[2] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[3] Univ Fed Alagoas, Dept Matemat, BR-57072900 Maceio, AL - Brazil
[4] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, CE - Brazil
Número total de Afiliações: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Linear Algebra and its Applications; v. 438, n. 7, p. 3001-3010, APR 1 2013. |
| Citações Web of Science: | 0 |
| Resumo | |
Let 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. (C) 2012 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 11/51654-5 - José Carmelo Interlando | San Diego State University - Estados Unidos |
| Beneficiário: | Trajano Pires da Nóbrega Neto |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |