Title
Candidate One-Way Functions On Non-Supersingular Elliptic Curves
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.
Year
DOI
Venue
2006
10.1093/ietfec/e89-a.1.144
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
one-way function, pairing-based cryptosystem, distortion map, the Weil and the Tate pairings, co-Diffie-Hellman problem
Discrete mathematics,Supersingular elliptic curve,Algebra,Digital signature,One-way function,Mathematics,Elliptic divisibility sequence,Elliptic curve,Endomorphism
Journal
Volume
Issue
ISSN
E89A
1
1745-1337
Citations 
PageRank 
References 
2
0.37
12
Authors
4
Name
Order
Citations
PageRank
Taiichi Saito1649.85
Fumitaka Hoshino210610.10
Shigenori Uchiyama337140.90
Tetsutaro Kobayashi415014.85