Title :
Upper bounds for commutative group codes: the odd case
Author :
Monteiro de Siqueira, R. ; Costa, Sueli I Rodrigues
Author_Institution :
UNICAMP, Sao Paulo
Abstract :
Good spherical codes must have large minimum squared distance. An important quota in the theory of spherical codes is the maximum number of points M(n,p) displayed on the sphere Sn -1, having a minimum squared distance p. The aim of this work is to study this problem restricted to the class of group codes. We establish a tighter bound for the number of points of a commutative group code in odd dimension, extending the bounds of [6].
Keywords :
group codes; group theory; matrix algebra; commutative group code; matrix algebra; minimum squared distance; spherical code; Lattices; Mathematics; Upper bound;
Conference_Titel :
Telecommunications Symposium, 2006 International
Conference_Location :
Fortaleza, Ceara
Print_ISBN :
978-85-89748-04-9
Electronic_ISBN :
978-85-89748-04-9
DOI :
10.1109/ITS.2006.4433300
