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alg-geom1997
Constructing curves over finite fields with many points by solving linear equations
Gerard van der Geer, Marcel van der Vlugt
In this note is we exhibit an elementary method to construct explicitly curves over finite fields with many points. Despite its elementary character the method is very efficient an…
alg-geom1997
Generalized Reed-Muller codes and curves with many points
Gerard van der Geer, Marcel van der Vlugt
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…