Group structure of elliptic curves over finite fields

被引：16

作者：

Wittmann, C ^{[1
]}

机构：

[1] Univ Bundeswehr Munchen, Fak Informat, Inst Theoret Informat & Math, D-85577 Neubiberg, Germany

来源：

JOURNAL OF NUMBER THEORY | 2001年 / 88卷 / 02期

关键词：

elliptic curves; finite fields;

D O I：

10.1006/jnth.2000.2622

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a finite abelian group such that there is an elliptic curve defined over a finite field F-q with E(F-q) congruent to A. We will determine the possible group structures E(F-q(k)) as E varies over all elliptic curves defined over F-q with E(F-q) congruent to A. (C) 2001 Academic Press.

引用

页码：335 / 344

页数：10