Abstract | ||
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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 |
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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 Saito | 1 | 64 | 9.85 |
Fumitaka Hoshino | 2 | 106 | 10.10 |
Shigenori Uchiyama | 3 | 371 | 40.90 |
Tetsutaro Kobayashi | 4 | 150 | 14.85 |