摘要： 椭圆曲线密码系统是现在主流的公钥密码系统之一。椭圆曲线密码系统的安全性是建立在椭圆曲线上离散对数问题(ECDLP)的难解性基础上的，但其系统参数的正确选择对系统的安全性也有着至关重要的影响。基点是重要的系统参数之一，在大多数有关公钥密码系统的国际标准中要求基点的阶是曲线的阶中的大素数因子以保证安全性。

关键词: 基点, 椭圆曲线, 密码系统, 素数

Abstract: The elliptic curve cryptosystem (ECC)is one of the main stream public key cryptosystems. ECC's security is based on elliptic curve discrete logarithm problem(ECDLP), but its system parameters also have great influence on ECC's security. Base point is an important system parameter, and base point's order has been prescribed to be the big prime factor of elliptic curve's order in many international standards for the reason of security.

中图分类号: 

• TN918.1