Minimum cyclotomic coset representatives and their applications to BCH codes and Goppa codes

Authors
Yue, DW Feng, GZ
Citation
Dw. Yue et Gz. Feng, Minimum cyclotomic coset representatives and their applications to BCH codes and Goppa codes, IEEE INFO T, 46(7), 2000, pp. 2625-2628
Citations number
10
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
46
Issue
7
Year of publication
2000
Pages
2625 - 2628
Database
ISI
SICI code
0018-9448(200011)46:7<2625:MCCRAT>2.0.ZU;2-C
Abstract
In this correspondence, we consider the minimum cyclotomic coset representa tives and derive some of their properties. The results allow more precise e stimates of the dimension of Bose-Chaudhuri-Hocquenghem (BCH) and classical Goppa codes of a given designed minimum distance, and more precise estimat es of the true designed distance of BCH codes and the minimum distance of c lassical Goppa codes.