The Conic Curves over Z_n and Public-Key Cryptosystem Protocol
Sun Qi, Zhu Wen-yu, Biao Wang · Journal of Sichuan University · 2005
This paper defines an operation on the rational points of conic curves C_n(a,b) over the residue class ring Z_n. This operation is called addtion forces C_n(a,b) into a finite abelian group. In specialty, the authors give an explicit formula of an operation on the points of conic carves, and make extensive discussion on the fundamental properties of conic curves over Z_n, which makes it possible to eatablish various kinds of cryptographic protocols over the conics. As an application, they propose a digital signature scheme over C_n(a,b), which may be regarded as an analogue of KMOV based on conics.