A Public Key Cryptosystem Based on a Conic Curve over Finite Fields
Pingshui Wang, Yang Gui-yuan · Microcomputer Development · 2005
AbstrcatWith the rapid development of Internet,public key cryptosystem has become a very important research topic in cryptography field for its simple algorithm and high security.To build public key cryptosystem more conveniently,on the basis of the introduction of the conic curve over a finite field C(F_p) and the discrete logarithm problem,plaintext embedding and decoding algorithm,the paper presents a conic curve analog of public key cryptosystem inC(F_p),here p is an odd prime and F_p a finite field of p elements.The security of these conic curve cryptosystem based on the discrete logarithm problem on conic curve over C(F_p) and it is much easier to design and realize than elliptic curve cryptosystem.