Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2004) On towers of function fields of Artin-Schreier type. Bulletin of the Brazilian Mathematical Society, 35 (2). pp. 151-164. ISSN 1678-7544 (Print) 1678-7714 (Online)
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Official URL: http://dx.doi.org/10.1007/s00574-004-0008-9
Abstract
In this article we derive strong conditions on the defining equations of asymptotically good Artin-Schreier towers. We will show that at most three kinds of defining equations can give rise to a recursively defined good tower, if we restrict ourselves to prime degrees.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | function fields; finite fields; towers of function fields; rational places; genus limits of towers; Artin-Schreier extensions |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Henning Stichtenoth |
| Date Deposited: | 28 Dec 2005 02:00 |
| Last Modified: | 26 Apr 2022 08:10 |
| URI: | https://research.sabanciuniv.edu/id/eprint/574 |
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