A generalization of algebraic-geometry codes

Authors
Xing, CP Niederreiter, H Lam, KY
Citation
Cp. Xing et al., A generalization of algebraic-geometry codes, IEEE INFO T, 45(7), 1999, pp. 2498-2501
Citations number
8
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
45
Issue
7
Year of publication
1999
Pages
2498 - 2501
Database
ISI
SICI code
0018-9448(199911)45:7<2498:AGOAC>2.0.ZU;2-H
Abstract
In this correspondence a generalization of algebraic-geometry codes based o n function fields over finite fields with many places of small degree is pr esented. It turns out that many good linear codes can be obtained from thes e generalized algebraic-geometry codes. In particular, we calculate some ex amples of q-ary linear codes for q = 2,3, 5. These examples show that many best possible linear codes can be found from our construction.