Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Two matrix-based lattice construction techniques

Full text
Author(s):
Carmelo Interlando, J. [1] ; da Nobrega Neto, Trajano Pires [2] ; Flores, Andre Luiz [3] ; Dantas Lopes, Jose Othon [4]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 4
Document type: Journal article
Source: Linear Algebra and its Applications; v. 438, n. 7, p. 3001-3010, APR 1 2013.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 11/51654-5 - José Carmelo Interlando | San Diego State University - Estados Unidos
Grantee:Trajano Pires da Nóbrega Neto
Support Opportunities: Research Grants - Visiting Researcher Grant - International