Paper 2018/1033 Original: eprint.iacr.org/2018/1033 ↗
One-Round Authenticated Group Key Exchange from Isogenies
Abstract
We propose two one-round authenticated group-key exchange protocols from newly employed cryptographic invariant maps (CIMs): 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 (resp. latter) is proved under the n-way decisional Diffie-Hellman (resp. n-way gap Diffie-Hellman) assumption on the CIMs in the quantum random (resp. random) oracle model. We instantiate the proposed protocols on the hard homogeneous spaces with limitation where the number of the user group is two. In particular, the protocols instantiated by using the CSIDH, commutative supersingular isogeny Diffie-Hellman, key exchange are currently more realistic than the general n-party CIM-based ones due to its implementability. Our two-party one-round protocols are secure against quantum adversaries.
Metadata
- Available format(s)
PDF- Category
- Cryptographic protocols
- Publication info
- Preprint.
- History
- 2019-11-02: last updated
- 2018-10-30: published
- Short URL
- https://ia.cr/2018/1033
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2018/1033,
author = {Atsushi Fujioka and Katsuyuki Takashima and Kazuki Yoneyama},
title = {One-Round Authenticated Group Key Exchange from Isogenies},
howpublished = {Cryptology {ePrint} Archive, Paper 2018/1033},
year = {2018},
url = {https://eprint.iacr.org/2018/1033}
}