Title :
Improved estimates on covering radius
Author :
Ashikhmin, A. ; Honkala, I. ; Laihonen, T. ; Litsyn, S.
Author_Institution :
Los Alamos Nat. Lab., NM, USA
Abstract :
During the last two decades the fundamental geometric parameter of a block code, called covering radius, has been widely studied. In this paper we estimate this parameter for linear codes with the aid of the minimum distance of the dual code. We derive a new bound on covering radius which improves essentially on the known bounds in a wide range of normalized dual distances
Keywords :
block codes; dual codes; linear codes; parameter estimation; block code; covering radius; dual code; fundamental geometric parameter; linear codes; minimum distance; parameter estimation; Block codes; Computer science; Data compression; Error correction codes; Laboratories; Linear code; Linear programming; Parameter estimation; Polynomials; Postal services;
Conference_Titel :
Information Theory and Communications Workshop, 1999. Proceedings of the 1999 IEEE
Conference_Location :
Kruger National Park
Print_ISBN :
0-7803-5268-8
DOI :
10.1109/ITCOM.1999.781454