Candidate One-Way Functions on Non-Supersingular Elliptic Curves
Taiichi Saito · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2006
This paper proposes new candidate one-way functions constructed with a certain type of endomorphisms on non-supersingular elliptic curves. We can show that the one-wayness of our proposed functions is equivalent to some special cases of the co-Diffie-Hellman assumption. Also a digital signature scheme is explicitly described using our proposed functions.