A new public key cryptosystem based on Edwards curves

摘要

The elliptic curve cryptography plays a central role in various cryptographic schemes and protocols. For efficiency reasons,Edwards curves and twistedEdwards curves have been introduced. In this paper, we study the properties of twisted Edwards curves on the ring ?/n? where n = p~r q~s is a prime power RSA modulus and propose a new scheme and study its efficiency and security.