| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4647651 | Discrete Mathematics | 2013 | 11 Pages |
Abstract
Spherical codes in even dimensions n=2mn=2m generated by a commutative group of orthogonal matrices can be determined by a quotient of mm-dimensional lattices when the sublattice has an orthogonal basis. We discuss here the existence of orthogonal sublattices of the lattices A2,D3,D4 and E8E8, 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].
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Carina Alves, Sueli I.R. Costa,