𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on towers of function fields over finite fields

✍ Scribed by Özbudak, Ferruh; Thomas, Michael


Book ID
126588167
Publisher
Taylor and Francis Group
Year
1998
Tongue
English
Weight
140 KB
Volume
26
Category
Article
ISSN
0092-7872

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On Towers and Composita of Towers of Fun
✍ Arnaldo Garcia; Henning Stichtenoth; Michael Thomas 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 296 KB

For a tower F 1 ʕ F 2 ʕ и и и of algebraic function fields F i ‫ކ/‬ q , define ϭ lim iǞȍ N(F i )/g(F i ), where N(F i ) is the number of rational places and g(F i ) is the genus of F i ‫ކ/‬ q . The tower is said to be asymptotically good if Ͼ 0. We give a very simple explicit example of an asymptoti

Hilbert Class Field Towers of Function F
✍ Alexandre Temkine 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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.

A Note on Tamely Ramified Towers of Glob
✍ Bruno Angles; Christian Maire 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 103 KB

By using rami"ed Hilbert Class Field Towers we improve lower asymptotic bounds of the number of rational points of smooth algebraic curves over % and % . ## 2002 Elsevier Science (USA)