椭圆曲线密码体制及其参数生成的研究

椭圆曲线密码体制因其长度小、破解难度高等特点在公钥密码系统中逐渐得到广泛应用,目前它已成为公钥密码体制中的研究热点。介绍了椭圆曲线的基本知识以及椭圆曲线上的密码体制,列举了与其他密码体制相比的优势所在。因为并不是所有椭圆曲线都可应用到公钥密码体制中,为了保证其安全性,选取安全椭圆曲线,文中给出了四种寻找安全椭圆曲线的方法。椭圆曲线密码体制在运算速度和存储空间方面具有很大的优势,促进了公钥密码学的快速发展。

Research on Elliptic Curves Cryptosystems and References Generating

Elliptic curve cryptosystem has many advantages,such as less bytes and difficult to decode,so it is widely used in public key system,and it has been a research hotspot in the area of public key system.Deals with the notion of elliptic curves and elliptic curves based on cryptosystems,and lists the advantages of elliptic curves cryptosystem compared to other public key cryptosystems.Not all of the elliptic curves can be applied to public key system,so must find security elliptic curves.Gives four methods of finding security elliptic curves.Elliptic curve cryptosystem has great advantages in calculating speed and memory space.It promotes the development of public key system.