Curves with a prescribed number of rational points

被引：3

作者：

Stichtenoth, Henning ^{[1
]}

机构：

[1] Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2011年 / 17卷 / 06期

关键词：

Curves; Algebraic function fields; Rational points; Rational places; Hasse-Weil bound; FUNCTION-FIELDS; FINITE-FIELDS;

D O I：

10.1016/j.ffa.2011.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：552 / 559

页数：8

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