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Satoh的算法及其mathematica语言的实现

Satoh Algorithm and Its Imple in Mathematica
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摘要 椭圆曲线在密码学中有很多应用 ,因而计算一条椭圆曲线上的点的个数问题在密码学的应用上非常关键。本文主要介绍计算有限域上一条椭圆曲线的点的个数的 Satoh算法 ,进而利用该算法寻求安全椭圆曲线。本文还简单介绍利用 m athem There are many important applications for elliptic curves in the cryptology,and counting points on elliptic curves is vital.This article introduces an algorithm on counting points of an elliptic curves of a defined field.Satoh Algorithm,and then trys to find a security elliptic curves in the algorithm.The article also introduces some methods to deal with the questions in the course of implementation.
作者 郭艾侠
出处 《安庆师范学院学报(自然科学版)》 2002年第1期7-9,共3页 Journal of Anqing Teachers College(Natural Science Edition)
关键词 Satoh算法 椭圆曲线 密码学 mathematica语言 公钥密码 点数 Satoh algorithm elliptic curves canonical lift
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参考文献7

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