Paper 2017/838 Original: eprint.iacr.org/2017/838 ↗
Two-Round PAKE from Approximate SPH and Instantiations from Lattices
Abstract
Password-based authenticated key exchange (PAKE) enables two users with shared low-entropy passwords to establish cryptographically strong session keys over insecure networks. At Asiacrypt 2009, Katz and Vaikuntanathan showed a generic three-round PAKE based on any CCA-secure PKE with associated approximate smooth projective hashing (ASPH), which helps to obtain the first PAKE from lattices. In this paper, we give a framework for constructing PAKE from CCA-secure PKE with associated ASPH, which uses only two-round messages by carefully exploiting a splittable property of the underlying PKE and its associated non-adaptive ASPH. We also give a splittable PKE with associated non-adaptive ASPH based on the LWE assumption, which finally allows to instantiate our two-round PAKE framework from lattices.
Metadata
- Available format(s)
PDF- Category
- Cryptographic protocols
- Publication info
- Preprint.
- History
- 2017-09-01: last updated
- 2017-09-01: published
- Short URL
- https://ia.cr/2017/838
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2017/838,
author = {Jiang Zhang and Yu Yu},
title = {Two-Round PAKE from Approximate SPH and Instantiations from Lattices},
howpublished = {Cryptology {ePrint} Archive, Paper 2017/838},
year = {2017},
url = {https://eprint.iacr.org/2017/838}
}