椭圆曲线在E-mail系统中的安全应用

Secure Application of Elliptic Curve Public Cryptosystem in the E - mail System

自从1985年Koblitz和Miller首次提出椭圆曲线密码之后,这种公钥密码的潜力越来越被人们所认识。为了保障Internet上数据传输的安全,并使用椭圆曲线密码体制建立一个快速、安全的邮件传输系统,在探索的基础上进行了研究,描述了椭圆曲线公钥密码体制的数学基础和关于椭圆曲线域参数的国际标准,以及椭圆曲线的离散对数问题(ECDLP),讨论了基于椭圆曲线的ELGAMAL密码系统,并将ELGAMAL算法与分组加密算法结合起来,设计了一类基于椭圆曲线混合公钥体制的E-mail传输系统,证明了该方法对于信息加密的有效性和实用性,实现了网络传输的安全。

Since the introduction of elliptic curves cryptography by Koblitz and Miller in 1985,the potential for the use of this public cryptosystem has been more and more recognized. For the data security of Internet, a quick and secure system should be built. The concepts of elliptic curves and their related mathematic knowledge were introduced, and the elliptic discrete logarithm problem (ECDLP) and ELGAMAL system were discussed. And then a secure hybrid E - mail system combining asymmetric and symmetric encryption was designed, the availability and practicability of this method was proved to achieve the security of network transmission.