𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Class of Artin-Schreier Towers with Finite Genus

✍ Scribed by San Ling; Henning Stichtenoth; Siman Yang

Publisher
Springer
Year
2005
Tongue
English
Weight
94 KB
Volume
36
Category
Article
ISSN
1678-7714

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The Number of Rational Points of a Class
The Number of Rational Points of a Class of Artin–Schreier Curves
✍ Robert S Coulter πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 172 KB

We determine the number of F q -rational points of a class of Artin-Schreier curves by using recent results concerning evaluations of some exponential sums. In particular, we determine infinitely many new examples of maximal and minimal plane curves in the context of the Hasse-Weil bound. # 2002 Els

Hilbert Class Field Towers of Function F
Hilbert Class Field Towers of Function Fields over Finite Fields and Lower Bounds for A(q)
✍ Alexandre Temkine πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 184 KB

We obtain lower bounds for the asymptotic number of rational points of smooth algebraic curves over finite fields. To do this we construct infinite Hilbert class field towers with good parameters. In this way we improve bounds of Serre, Perret, and Niederreiter and Xing.