Bassa, Alp and Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2015) Towers of function fields over non-prime finite fields. Moscow Mathematical Journal, 15 (1). pp. 1-29. ISSN 1609-3321 (Print) 1609-4514 (Online)
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Abstract
Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvemient on all known lower bounds for Thara's quantity A(l), for l - p(n) with p prime and n > 3 odd. We relate the explicit equations to Drinfeld modular varieties.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Curves with many points; towers of function fields; genus; rational places; Ihara's constant |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Henning Stichtenoth |
| Date Deposited: | 16 Dec 2015 14:27 |
| Last Modified: | 23 Aug 2019 11:28 |
| URI: | https://research.sabanciuniv.edu/id/eprint/27755 |
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Towers of function fields over non-prime finite fields. (deposited 15 Nov 2014 18:19)
- Towers of function fields over non-prime finite fields. (deposited 16 Dec 2015 14:27) [Currently Displayed]
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