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Curves over Finite Fields Attaining the Hasse-Weil Upper Bound

  • Arnaldo Garcia
Part of the Progress in Mathematics book series (PM, volume 202)

Abstract

Curves over finite fields (whose cardinality is a square) attaining the Hasse-Weil upper bound for the number of rational points are called maximal curves. Here we deal with three problems on maximal curves:
  1. 1

    Determination of the possible genera of maximal curves.

     
  2. 2

    Determination of explicit equations for maximal curves.

     
  3. 3

    Classification of maximal curves having a fixed genus.

     

Keywords

Rational Point Finite Field Algebraic Curf Maximal Curve Quadratic Residue 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2001

Authors and Affiliations

  • Arnaldo Garcia
    • 1
  1. 1.IMPARio de JaneiroBrasil

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