椭圆曲线密码系统的探讨及其数字签名算法的研究

近若干年对椭圆曲线系统（ecc）的研究，特别是它在近代密码学的应用，可谓是异军突起，前景很好。本文介绍和讨论了椭圆曲线基本概念，公钥密码系统，以及数字签名算法，并综合比较了数字签名算法RSA和ECDSA的优缺点。并且使用Visual Basic程序开发语言实瑚椭圆曲线密码算法。

Study on Elliptic Curve Cryptosystems and Digital Signature Algorithm

In recent years,there is a good prospect for the study on Elliptic Curve Cryptosystems(ECC),especially in the application of Modern Cryptography.This paper introduces and discusses about its basic conception of Elliptic Curve Cryptosystems,Elliptic Curve Cryptography-based on Public Key,and digital signature algorithm,and also syntheticly compares the difference between RSA Cryptography-based Public Key and ECDSA.This paper takes elliptic curve digital signature algorithm(ECDSA) as an example and studies how to realize the Elliptic Curve Cryptographic Algorithms with Visual Basic program developing language.