Welcome to the resource topic for 2021/152
Title:
Hybrid Dual Attack on LWE with Arbitrary Secrets
Authors: Lei Bi, Xianhui Lu, Junjie Luo, Kunpeng Wang, Zhenfei Zhang
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.
ePrint: https://eprint.iacr.org/2021/152
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