Constructing curves over finite fields with many points by solving linear equations

1997/11/10 by Gerard van der Geer, van der Geer, Gerard, Marcel van der Vlugt +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9711010

Plain Tex, 6 pages

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

Abstract

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 and can be regarded as a partial substitute for the use of class field theory.

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