Generalized Reed-Muller codes and curves with many points

1997/10/13 by Gerard van der Geer, van der Geer, Gerard, Marcel van der Vlugt +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Cellular Automata and Applications #Coding theory and cryptography #DNA and Biological Computing #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9710016

Plain Tex, 11 pages

arxiv created 1997/10/13 · arxiv updated 2009/11/30

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.

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