A propagation rule for linear codes

Authors
Niederreiter, H Xing, CP
Citation
H. Niederreiter et Cp. Xing, A propagation rule for linear codes, APPL ALG EN, 10(6), 2000, pp. 425-432
Citations number
10
Categorie Soggetti
Engineering Mathematics
Journal title
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
ISSN journal
09381279 → ACNP
Volume
10
Issue
6
Year of publication
2000
Pages
425 - 432
Database
ISI
SICI code
0938-1279(200007)10:6<425:APRFLC>2.0.ZU;2-B
Abstract
We establish a general theorem which, given an arbitrary linear code, gener ates a family of linear codes of larger lengths and higher dimensions. The proof is based on a representation of the given linear code as a (generaliz ed) algebraic-geometry code. Examples yielding many optimal linear codes do cument the power of this theorem.