Generalized Reed-Muller codes and curves with many points

Details Generalized Reed-Muller codes and curves with many points Generalized Reed-Muller codes and curves with many points

1997-10-13

arxiv.org/abs/alg-geom/9710016v1

Mathematics

Algebraic Geometry

Plain Tex, 11 pages

Scientific paper

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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