基于椭圆曲线的几种数字签名算法的比较

- I -题 目： 基于椭圆曲线的几种数字签名方案的比较 摘要 数字签名是当前网络安全领域的研究热点，具有许多传统签名不具备的优点，在很多方面都有重要应用如身份识别，不允许否认性等，在社会生活的各个领域也有极其广阔的应用前景。如今提出了一种新的思维方法，是把本文研究的内容与数学信息姓名痕迹融为一体。文章开头引出了二者的概念信息以及当前研究产生的问题，针对上面提出问题的引进了几种解决策略，这些策略都建立在处理椭圆曲线的基础上。文中从两个方面来考虑上述问题，第一，基于可靠度及运行速度角度综合比较基于椭圆曲线的几种数字签名方案；第二，是通过基于一种签名方案从算法中用到的不同曲线的比较得出不同的曲线在比较指标不同时算法的效率也不同。关键词： 椭圆曲线；数字签名；算法分析 - I -AbstractDigital signature is a research hotspot in the field of network security, and has many advantages that traditional signatures do not have. It has important applications in realizing identity authentication, data integrity, and non-repudiation. It is also extremely broad in various fields of social life prospect. The security of the elliptic curve cryptosystem is based on the intractability of the discrete logarithm problem of the elliptic curve in a finite field. Combining it with a digital signature scheme has higher research value. This article first introduces the relevant knowledge about elliptic curve cryptosystem and digital signature scheme, and then analyzes and compares several digital signature schemes based on elliptic curve. Signature scheme; on the other hand, it is obtained by comparing different curves used in the algorithm based on a signature scheme that different curves have different efficiency when the comparison index is different.Keywords：Elliptic curve; digital signature;Analysis of Algorithms-1-目录第 1 章 研究背景..............................................................................................................