A new public key cryptograhpy system based on hyperbolic curve over finite field
Liu Xiaoqin, Zheng Qi, Yang Jianhua, Lu Wang, Tong Zhang, Tao Li, Wang Rui · Advances in intelligent systems research/Advances in Intelligent Systems Research · 2013
In this paper, we propose a new technology that improves Diffie-Hellman's safeness and keeps its good property.The technology is called "Hyperbolic Curve Cryptography System" (HCCS) which is designed on hyperbolic curve over finite filed.HCCS has a solid Abel group structure whose order is diverse over finite field and the system is secure which is mainly based on discrete logarithm problem (DLP) and hardness of solving fundamental solution.Compared with Diffie-Hellman, HCCS has the same calculation complexity, but it has excellently flexible.Therefore, HCCS can improve information technology's safeness.