椭圆曲线密码体制中明文嵌入的研究

椭圆曲线密码体制(ECC)已经成为公钥密码学中研究的热点，它可以用于信息加密和数字签名，在网络安全和电子商务中有广泛的应用。椭圆曲线密码体制中一个重要的问题是明文嵌入，文中介绍了椭圆曲线公钥密码体制的数学基础，讨论了椭圆曲线密码体制上的两种明文嵌入方法，对概率编码方法作了重点的探讨，给出了一个更通用的有效编码算法——改进的概率编码算法，并对该算法进行了分析，提出了改进方案。实验证明，改进后的算法更加实用。

Study of Plaintext Embedding in Elliptic Curve Cryptosystem

Elliptic curve cryptosystem has been a research focus in recent years . Elliptic curve cryptosystem can be used both in information encryption and digital signature.Its application can be seen in network security and electronic commerce.The plaintext embedding is a very important problem in implementation of ECC.Here introduces the mathematics base of ECC.Furthermore,two plaintext embedding are discussed and emphasis is put on probabilistic coding algorithm.Finally,a generic algorithm:improved probabilistic coding algorithm is proposed, and the improved schemes are presented by analysis of its efficiency . Experiments show that improvements make the algorithm more efficient and pratical.