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

Commutative group codes in R-4, R-6, R-8 and R-16-Approaching the bound

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Author(s):
Alves, Carina [1] ; Costa, Sueli I. R. [2]
Total Authors: 2
Affiliation:
[1] Sao Paulo State Univ UNESP, Dept Math, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Campinas UNICAMP, IMECC, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: DISCRETE MATHEMATICS; v. 313, n. 16, p. 1677-1687, AUG 28 2013.
Web of Science Citations: 1
Abstract

Spherical codes in even dimensions n = 2m generated by a commutative group of orthogonal matrices can be determined by a quotient of m-dimensional lattices when the sublattice has an orthogonal basis. We discuss here the existence of orthogonal sublattices of the lattices A(2), D-3, D-4 and E-8, which have the best packing density in their dimensions, in order to generate families of commutative group codes approaching the bound presented in Siqueira and Costa (2008) {[}14]. (C) 2013 Elsevier B.V. All rights reserved. (AU)