Paper 2024/374
Universal Composable Password Authenticated Key Exchange for the Post-Quantum World
, Shanghai Jiao Tong University, Shanghai Jiao Tong University, Shanghai Jiao Tong UniversityAbstract
In this paper, we construct the first password authenticated key exchange (PAKE) scheme from isogenies with Universal Composable (UC) security in the random oracle model (ROM). We also construct the first two PAKE schemes with UC security in the quantum random oracle model (QROM), one is based on the learning with error (LWE) assumption, and the other is based on the group-action decisional Diffie- Hellman (GA-DDH) assumption in the isogeny setting. To obtain our UC-secure PAKE scheme in ROM, we propose a generic construction of PAKE from basic lossy public key encryption (LPKE) and CCA-secure PKE. We also introduce a new variant of LPKE, named extractable LPKE (eLPKE). By replacing the basic LPKE with eLPKE, our generic construction of PAKE achieves UC security in QROM. The LPKE and eLPKE have instantiations not only from LWE but also from GA-DDH, which admit four specific PAKE schemes with UC security in ROM or QROM, based on LWE or GA-DDH.
Metadata
- Available format(s)
-
PDF
- Category
- Cryptographic protocols
- Publication info
- A major revision of an IACR publication in EUROCRYPT 2024
- Keywords
- PAKEPost Quantum Security
- Contact author(s)
-
vergil @ sjtu edu cn
slliu @ sjtu edu cn
dalen17 @ sjtu edu cn - History
- 2024-03-01: approved
- 2024-02-29: received
- See all versions
- Short URL
- https://ia.cr/2024/374
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2024/374,
author = {You Lyu and Shengli Liu and Shuai Han},
title = {Universal Composable Password Authenticated Key Exchange for the Post-Quantum World},
howpublished = {Cryptology ePrint Archive, Paper 2024/374},
year = {2024},
note = {\url{https://eprint.iacr.org/2024/374}},
url = {https://eprint.iacr.org/2024/374}
}
