Stichtenoth, Henning (2011) Curves with a prescribed number of rational points. Finite Fields and Their Applications, 17 (6). pp. 552-559. ISSN 1071-5797
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Official URL: http://dx.doi.org/10.1016/j.ffa.2011.03.004
Abstract
We show that for any finite field F(q), any N >= 0 and all sufficiently large integers g there exist curves over F(q) of genus g having exactly N rational points.
Item Type: | Article |
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Uncontrolled Keywords: | Curves; Algebraic function fields; Rational points; Rational places; Hasse-Weil bound |
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: | 23 Nov 2011 10:52 |
Last Modified: | 29 Jul 2019 15:50 |
URI: | https://research.sabanciuniv.edu/id/eprint/17494 |