After an introduction to the mathematic concepts of ECC, we proposed a method of choosing an appropriate elliptic curve on the basis of a thorough discussion of all the attacking algorithms to ECC.

• 通过详细介绍ECC的数学基础的基础，分析针对椭圆曲线离散对数问题的常见攻击算法，并在最后给出一种完整的安全椭圆曲线选择方法。