Paper Info
Title
Codes defined by forms of degree 2 on non-degenerate Hermitian varieties in \mathbbP4(\mathbbFq){\mathbb{P}^{4}(\mathbb{F}_q)}
Abstract
We study the functional codes of second order on a non-degenerate Hermitian variety X subset of P-4(F-q) as defined by G. Lachaud. We provide the best possible bounds for the number of points of quadratic sections of X. We list the first five weights, describe the corresponding codewords and compute their number. The paper ends with two conjectures. The first is about minimum distance of the functional codes of order h on a non-singular Hermitian variety X subset of P-4(F-q). The second is about distribution of the codewords of first five weights of the functional codes of second order on a non-singular Hermitian variety X subset of P-N(F-q).
Year
DOI
Venue
2009
10.1007/s10623-008-9219-1
DESIGNS CODES AND CRYPTOGRAPHY
Keywords
DocType
Volume
Functional codes,Hermitian surface,Hermitian variety,Hermitian curve,Projective index,Quadric,Weight
Journal
50.0
Issue
ISSN
Citations 
1
0925-1022
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
frederic a b edoukou1335.99