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Paper 2018/730
Supersingular Isogeny Diffie-Hellman Authenticated Key Exchange
Atsushi Fujioka and Katsuyuki Takashima and Shintaro Terada and Kazuki Yoneyama
Abstract
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 an isogeny version of the decisional and gap Diffie-Hellman assumption, respectively. We also propose a new approach for invalidating the Galbraith-Vercauteren attack for the gap problem.
Metadata
- Available format(s)
- Category
- Public-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- one-round authenticated key exchangeCK modelCK^+ modelquantum adversaryrandom oracle model
- Contact author(s)
- Takashima Katsuyuki @ aj MitsubishiElectric co jp
- History
- 2018-11-02: last of 4 revisions
- 2018-08-09: received
- See all versions
- Short URL
- https://ia.cr/2018/730
- License
-
CC BY