Commutative group codes in R4, R6, R8 and R16-Approaching the bound

Artículos de revistas

Fecha

2013-05-10

Registro en:

Discrete Mathematics, v. 313, n. 16, p. 1677-1687, 2013.

0012-365X

http://hdl.handle.net/11449/75379

10.1016/j.disc.2013.04.005

WOS:000320680100008

2-s2.0-84884813554

Autor

Universidade Estadual Paulista (Unesp)

Universidade Estadual de Campinas (UNICAMP)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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 A2, D3, D4 and E8, 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]. © 2013 Elsevier B.V. All rights reserved.

Materias

Mostrar el registro completo del ítem