Selection of Elliptic Curves Based on ECC
Fan Hui · Journal of Huaihai Institute of Technology · 2008
Elliptic curves cryptosystem(ECC) is a kind of public-key cryptosystem whose security is based on the discrete logarithm problem in finite field.By far,studies have shown that no effective attacking algorithm has not been founded which can invert the elliptic curves discrete logarithm problem(ECDLP) in sub-exponential time.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.