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

Gerard van der Geer·Marcel van der Vlugt
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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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Gerard van der Geer, Marcel van der Vlugt. 1997-11-10. Constructing curves over finite fields with many points by solving linear equations. https://arxiv.org/abs/alg-geom/9711010

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