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Supersingular Isogeny Diffie-Hellman Authenticated Key Exchange
Authors: Atsushi Fujioka, Katsuyuki Takashima, Shintaro Terada, Kazuki YoneyamaAbstract:
We propose two authenticated key exchange protocols from supersingular isogenies. Our protocols are the first post-quantum one-round Diffie-Hellman type authenticated key exchange ones in the following points: one is secure under the quantum random oracle model and the other resists against maximum exposure where a non-trivial combination of secret keys is revealed. The security of the former and the latter is proven under isogeny versions of the decisional and gap Diffie-Hellman assumptions, respectively. We also propose a new approach for invalidating the Galbraith-Vercauteren-type attack for the gap problem.
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