椭圆曲线generator点的特征

在zk-SNARK等密码学实现中，常用到椭圆曲线Elliptic Curve，参照《Elliptic Curves Number Theory And Cryptography 2n》一般形式为：
y² = x³ + Ax + B over Finite field Fq

相应的group order为n.

Generator相当于所在椭圆曲线的“1”单位值。具有的特点为：

• A group element is called generator if there is a number n (the group order) such that the list g⁰, g¹, g², …, g^n-1 contains all elements in the group. [引自 https://blog.ethereum.org/2016/12/05/zksnarks-in-a-nutshell/ ]