On Drinfeld modular curves with many rational points over finite fields

被引：1

作者：

Schweizer, A ^{[1
]}

机构：

[1] Korea Inst Adv Study KIAS, Dngdaemun Gu, Seoul 130012, South Korea

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2002年 / 8卷 / 04期

关键词：

curve over finite field; many rational points; asymptotically optimal; Drinfeld modular curve; Atkin-Lehner involution;

D O I：

10.1006/ffta.2001.0351

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that Drinfeld modular curves can be used to construct asymptotically optimal towers of curves over finite fields. Using reductions of the Drinfeld modular curves X-0(n), we try to find individual curves over finite fields with many rational points. The main idea is to divide by an Atkin-Lehner involution which has many fixed points in order to obtain a quotient with a better ratio #{rational points}/genus. In a few cases we can improve the known records of rational points. (C) 2002 Elsevier Science (USA).

引用

页码：434 / 443

页数：10

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