A Curve Choosing Algorithm and Its Distributed Improvement of ECC with Fixed Order on Binary Field
Xinchun Yin, Jinliang Zou · 2012
In the elliptic curve cryptosystem (ECC), curve choosing directly affect the various factors of ECC, such as the speed of encryption and decryption, efficiency, security and even the length of the length of key.Therefore, it has a great importance in choosing a well performed curve in ECC.This paper mainly introduced the process of the curve choosing of ECC on the binary field, proposed a choosing algorithm of ECC with fixed order on this field, in order to improve its efficiency, the algorithm was improved with distributed and parallel method, and the analysis was given at the end of the paper, it shows that the algorithm has some characteristics of lightweight, which also has some also instructive significant when the RFID , Internet of Things technology is becoming more common.