Title
Second highest number of points of hypersurfaces in Fqn
Abstract
For generalized Reed-Muller, GRM(q,d,n), codes, the determination of the second weight is still generally unsolved, it is an open question of Cherdieu and Rolland [J.P. Cherdieu, R. Rolland, On the number of points of some hypersurfaces in F"q^n, Finite Fields Appl. 2 (1996) 214-224]. In order to answer this question, we study some maximal hypersurfaces and we compute the second weight of GRM(q,d,n) codes with the restriction that q=2d.
Year
DOI
Venue
2007
10.1016/j.ffa.2005.11.002
Finite Fields and Their Applications
Keywords
Field
DocType
generalized reed-muller,finite fields appl,open question,highest number,j.p. cherdieu,maximal hypersurfaces,reed muller code,finite field
Combinatorics,Finite field,Algebra,Reed–Muller code,Mathematics
Journal
Volume
Issue
ISSN
13
3
1071-5797
Citations 
PageRank 
References 
12
1.16
2
Authors
1
Name
Order
Citations
PageRank
Adnen Sboui1252.75