A CONCISE FORMULA ON ELLIPTIC CURVES OVER FINITE FIELDS

被引：0

作者：

Li, Lingyun ^{[1
]}

Zhang, Shaohua ^{[2
]}

机构：

[1] Liaocheng Univ, Sch Comp Sci, Liaocheng 252059, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2010年 / 17卷 / 01期

关键词：

elliptic curve; point counting problem; finite fields; the twist of a curve; RSA;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, using the property of the twist, we obtain a concise formula about the sum of the number of elements of group of rational points on some kinds of elliptic curves over the finite field. This formula can be generalized to the generic case. Moreover, we give some interesting remarks.

引用

页码：21 / 25

页数：5