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Inventiones mathematicae

, Volume 121, Issue 1, pp 211–222 | Cite as

A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound

  • Arnaldo Garcia
  • Henning Stichtenoth
Article

Summary

For an algebraic function fieldF having a finite constant field, letg(F) (resp.N(F)) denote the genus ofF (resp. the number of places ofF of degree one). We construct a tower of function fields\(F_1 \subseteq F_2 \subseteq F_3 \subseteq \ldots \) over\(\mathbb{F}_{q^2 } \) such that the ratioN(F i )/g(F i ) tends to the Drinfeld-Vladut boundq−1.

Keywords

Function Field Algebraic Function Constant Field Finite Constant Field 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Arnaldo Garcia
    • 1
  • Henning Stichtenoth
    • 2
  1. 1.Instituto de Matemática Pura e Aplicada IMPARio de JaneiroBrazil
  2. 2.Fachbereich 6 Mathematik und InformatikUniversität GH EssenEssenGermany

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