Candidate One-Way Functions on Non-Supersingular Elliptic Curves*A preliminary version was presented at ISEC2003 [22].

Authors:
Taiichi Saito;Fumitaka Hoshino;Shigenori Uchiyama;Tetsutaro Kobayashi
Affiliations:
The author is with Tokyo Denki University, Tokyo, 101-8457 Japan. E-mail: taiichi@c.dendai.ac.jp,;The authors are with NTT Information Sharing Platform Laboratories, Yokosuka-shi, 239-0847 Japan.;The authors are with NTT Information Sharing Platform Laboratories, Yokosuka-shi, 239-0847 Japan.;The authors are with NTT Information Sharing Platform Laboratories, Yokosuka-shi, 239-0847 Japan.
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2006

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Abstract

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.