Part of the Progress in Mathematics book series (PM, volume 202)
Explicit Constructions of Towers of Function Fields with Many Rational Places
We discuss several examples of function field towers Fo C F1 C_ F2 C… over a finite field 1F1, for which the limit (number of rational places of Fn)/(genus of Fn) is positive.
KeywordsFinite Field Function Field Algebraic Function Rational Place Modular Curf
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.
Unable to display preview. Download preview PDF.
- 2.N. Elkies, Explicit towers of Drinfeld modular curves,this volume.Google Scholar
- 3.G. van der Geer, Curves over finite fields and codes,this volume.Google Scholar
- 8.J. P. Serre, Rational points on curves over finite fields, Lecture Notes, Harvard University, 1985.Google Scholar
- 9.H. Stichtenoth, Algebraic Function Fields and Codes, Universitext, Springer-Verlag, Berlin, 1993.Google Scholar
© Springer Basel AG 2001