素域Fp上的安全椭圆曲线的选取及基点快速算法的研究

文中介绍了安全椭圆曲线的设计要求和传统的安全椭圆曲线生成算法;这里的创新之处在于:采用逆向思维方式,首次提出准基点理论,改进了传统的安全椭圆曲线生成算法,改进后的算法使得安全椭圆曲线和基点的生成同时完成,是目前最快的理想椭圆曲线密码体系参数生成算法。

Study on Safe Elliptic Curve Choice and Basic Point Rapid Algorithm on Region GF(P)

This paper introduces the design requirements of safe elliptic curve and its traditional generation algorithm.The new ideas lie in the facts that the reverse thinking is adopted, the accurate basic point theory put forward for the first times and The generation algorithm of the traditional safe elliptic curve improved The improved algorithm, makes the generations of the safe elliptic curve and the basic point to be completed at the same time,and is the quickest and ideal generation algorithm for elliptic curve parameter of the code system.