Paper 2021/152 Original: eprint.iacr.org/2021/152 ↗
Hybrid Dual Attack on LWE with Arbitrary Secrets
Abstract
In this paper, we study the {\em hybrid dual attack} over Learning with Errors (LWE) problems for {\em any} secret distribution. Prior to our work, hybrid attacks are only considered for sparse and/or small secrets. A new and interesting result from our analysis shows that for most cryptographic use cases a hybrid dual attack outperforms a standalone dual attack, regardless of the secret distribution. We formulate our results into a framework of predicting the performance of the hybrid dual attacks. We also present a few tricks that further improve our attack. To illustrate the effectiveness of our result, we re-evaluate the security of {\em all} LWE related proposals in round 3 of NIST's post-quantum cryptography process, and improve the state-of-the-art cryptanalysis results by 2-14 bits, under the BKZ-core-SVP model.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2021-02-25: last updated
- 2021-02-12: published
- Short URL
- https://ia.cr/2021/152
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/152,
author = {Lei Bi and Xianhui Lu and Junjie Luo and Kunpeng Wang and Zhenfei Zhang},
title = {Hybrid Dual Attack on LWE with Arbitrary Secrets},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/152},
year = {2021},
url = {https://eprint.iacr.org/2021/152}
}