Paper Info
Title
Codes defined by forms of degree 2 on Hermitian surfaces and Sørensen's conjecture
Abstract
We study the functional codes C"h(X) defined by Lachaud in [G. Lachaud, Number of points of plane sections and linear codes defined on algebraic varieties, in: Arithmetic, Geometry, and Coding Theory, Luminy, France, 1993, de Gruyter, Berlin, 1996, pp. 77-104] where X@?P^N is an algebraic projective variety of degree d and dimension m. When X is a Hermitian surface in PG(3,q), Sorensen in [A.B. Sorensen, Rational points on hypersurfaces, Reed-Muller codes and algebraic-geometric codes, PhD thesis, Aarhus, Denmark, 1991], has conjectured for h=
Year
DOI
Venue
2007
10.1016/j.ffa.2006.07.001
Finite Fields and Their Applications
Keywords
DocType
Volume
hermitian surface,Hermitian surface,functional codes,hermitian curve,algebraic variety,algebraic projective variety,Reed-Muller code,PhD thesis,de Gruyter,quadric,algebraic-geometric code,sørensen's conjecture,G. Lachaud,Coding Theory,weight.,B. Sorensen
Journal
13
Issue
ISSN
Citations 
3
1071-5797
10
PageRank 
References 
Authors
1.31
4
1
Name
Order
Citations
PageRank
frederic a b edoukou1335.99