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Candidate One-Way Functions on Non-Supersingular Elliptic Curves Taiichi SAITO Fumitaka HOSHINO Shigenori UCHIYAMA Tetsutaro KOBAYASHI Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E89-A No.1 pp.144-150 Publication Date: 2006/01/01 Online ISSN: 1745-1337 DOI: 10.1093/ietfec/e89-a.1.144 Print ISSN: 0916-8508 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Elliptic Curve Cryptography Keyword: one-way function, pairing-based cryptosystem, distortion map, the Weil and the Tate pairings, co-Diffie-Hellman problem, Full Text: PDF(213.3KB)>>
Summary: 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. | ||||||||||
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