A new construction of algebraic-geometry codes

Authors
Niederreiter, H Xing, CP Lam, KY
Citation
H. Niederreiter et al., A new construction of algebraic-geometry codes, APPL ALG EN, 9(5), 1999, pp. 373-381
Citations number
11
Categorie Soggetti
Engineering Mathematics
Journal title
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
ISSN journal
09381279 → ACNP
Volume
9
Issue
5
Year of publication
1999
Pages
373 - 381
Database
ISI
SICI code
0938-1279(199905)9:5<373:ANCOAC>2.0.ZU;2-U
Abstract
We present a:new construction of Linear codes based on algebraic geometry. An important feature of this construction is that we can use places of arbi trary degree and not just rational places as in Goppa's construction. Examp les show that this leads to various improvements on Goppa's construction.