The base that using elliptic curves as public key cryptosystem is because of the point set of elliptic curve on finite field can construct Abelian group.

• 使用椭圆曲线作为公钥密码体制的基础,是定义在有限域上椭圆曲线上的点构成的阿贝尔群,并且使定义其上的离散对数问题的求解非常困难。