Reed-Muller codes on complete intersections

Authors
Duursma, IM Renteria, C Tapia-Recillas, H
Citation
Im. Duursma et al., Reed-Muller codes on complete intersections, APPL ALG EN, 11(6), 2001, pp. 455-462
Citations number
13
Categorie Soggetti
Engineering Mathematics
Journal title
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
ISSN journal
09381279 → ACNP
Volume
11
Issue
6
Year of publication
2001
Pages
455 - 462
Database
ISI
SICI code
0938-1279(200105)11:6<455:RCOCI>2.0.ZU;2-U
Abstract
By using results and techniques from commutative algebra such as the vanish ing ideal of a set of points, its a-invariant, the Hilbert polynomial and s eries, as well as finite free resolutions and the canonical module, some re sults about Reed-Muller codes defined on a zero-dimensional complete inters ection in the n-projective dimensional space are given. Several examples of this class of codes are presented in order to illustrate the ideas.