Research on Key Algorithms of Point Multiplication on the Elliptic Curve Cryptosystem Based on Wireless Network Security
Xiaoyan Ren · Communications technology · 2007
The elliptic curve cryptosystem is widely used in the wireless network security for its own superiority.There are two kinds of elliptic curve cryptosystem,one is based on the GF(P),the other is based on the GF(2m).The bit disturbing algorithm is not needed in the first cryptosystem,so is often used in the software;for hardware application,the later system is the better choice for its few circuit,high speed and strong function.The NP problem is a critical problem in the elliptic curve cryptosystem.This essay gives the better algorithms of point multiplication on the elliptic curve cryptosystem over GF(2m) based on wireless network security.This paper gives different algorithms on the base point and the random point,which is of great significance in real implementation.