Generalized Reed-Muller codes and curves with many points
alg-geom
2007-05-23 v1 Algebraic Geometry
Abstract
The weight hierarchy of generalized Reed-Muller codes over arbitrary finite fields was determined by Heijnen and Pellikaan. In this paper we produce curves over finite fields with many points which are closely related to this weight hierarchy.
Cite
@article{arxiv.alg-geom/9710016,
title = {Generalized Reed-Muller codes and curves with many points},
author = {Gerard van der Geer and Marcel van der Vlugt},
journal= {arXiv preprint arXiv:alg-geom/9710016},
year = {2007}
}
Comments
Plain Tex, 11 pages