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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)
PDF
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
Creative Commons Attribution
CC BY
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