Keyword Search Result
[Keyword] the Weil and the Tate pairings(2hit)
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Candidate One-Way Functions on Non-Supersingular Elliptic Curves
Taiichi SAITO Fumitaka HOSHINO Shigenori UCHIYAMA Tetsutaro KOBAYASHI
- PAPER-Elliptic Curve Cryptography
- Vol:
- E89-A No:1
- Page(s):
- 144-150
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.
Non-Supersingular Elliptic Curves for Pairing-Based Cryptosystems
Taiichi SAITO Fumitaka HOSHINO Shigenori UCHIYAMA Tetsutaro KOBAYASHI
- LETTER
- Vol:
- E87-A No:5
- Page(s):
- 1203-1205
This paper provides methods for construction of pairing-based cryptosystems based on non-supersingular elliptic curves.
