椭圆曲线公钥密码体制在电子商务中的安全应用

Secure Applicactions of Elliptic Curve Public Cryptosystem in the Electronic Commerce

该文描述了椭圆曲线公钥密码体制的数学基础、椭圆曲线离散对数问题困难性，讨论了椭圆曲线公钥密码体制在电子商务中的安全应用，及ECC快速算法设计与实现问题。进一步研究证明，椭圆曲线密码体制有比传统密码体制具有更高的位率运算。

The elliptic curve public cryptosystem is a key of crytographic deploy of handheld secure access devices in electronic commerce system. This paper describes the mathematics base of ECC and discusses the elliptic curve discrete logarithm problem (ECDLP) and the security applications of ECC on E-commerce. A fast arithmetic of ECC is given and this make it possible that ECC's practical applications in the electronic commerce. It is proven that the elliptic curve cryptosystem (ECC) provides the highest strength-per-bit of any cryptosystem known today in the last.