Since the mathematical theory of Elliptic Curve Cryptography is very complex, scheme based on the Elliptic Curve Discrete Logarithm Problem ( ECDLP) is the most difficult one, there is no effective method for attacking. 其中,由于椭圆曲线密码系统的数学理论十分复杂,基于椭圆曲线离散对数问题(ECDLP)的方案是最难解的,还没有有效的求解方法。