ALGEBRAIC-GEOMETRY CODES OF CURVES OF COMPLETE INTERSECTION

Authors
TANG LZ
Citation
Lz. Tang, ALGEBRAIC-GEOMETRY CODES OF CURVES OF COMPLETE INTERSECTION, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 37(8), 1994, pp. 909-923
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
37
Issue
8
Year of publication
1994
Pages
909 - 923
Database
ISI
SICI code
1001-6511(1994)37:8<909:ACOCOC>2.0.ZU;2-#
Abstract
Let P-q(3) (or PG(3, q)) denote the projective space of dimension 3 ov er a finite field F-q. A class of codes has been constructed from curv es of complete intersection in P-q(3). Parameters, generators and pari ty-check matrices are given. Another result is that a decoding algorit hm turns out to be generalization of the algorithm for decoding plane algebraic curve codes. The proposed algorithm has a complexity O(n(4)) , where n is the length of the codes.