Selection of security elliptic curve in finite field GF(q)
Donghai Zhai · Information and Electronic Engineering · 2009
Elliptic Curve Cryptography(ECC) is the most secure public key cryptosystem,whose security is based on the discrete logarithm problem in finite fields.The choice of elliptic curve is also crucial to system security.This article first introduces the basic concepts of elliptic curve and related number theory knowledge,then describes the selection principle of security elliptic curve,and introduces how to generate security elliptic curve by choosing appropriate parameters and verifies the rationality of these parameters at last.The results show that the ability of the elliptic curve,selected by this way,against the attack of existing algorithms,has been enhanced greatly.