Curves with a prescribed number of rational points

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
Uncontrolled Keywords:	Curves; Algebraic function fields; Rational points; Rational places; Hasse-Weil bound
Subjects:	Q Science > QA Mathematics
ID Code:	17494
Deposited By:	Henning Stichtenoth
Deposited On:	23 Nov 2011 10:52
Last Modified:	24 Nov 2011 10:30

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