Paper Info
Title
Generic, efficient and isochronous Gaussian sampling over the integers
Abstract
Gaussian sampling over the integers is one of the fundamental building blocks of lattice-based cryptography. Among the extensively used trapdoor sampling algorithms, it is ineluctable until now. Under the influence of numerous side-channel attacks, it is still challenging to construct a Gaussian sampler that is generic, efficient, and resistant to timing attacks. In this paper, our contribution is three-fold. First, we propose a secure, efficient exponential Bernoulli sampling algorithm. It can be applied to Gaussian samplers based on rejection samplings. We apply it to FALCON, a candidate of round 3 of the NIST post-quantum cryptography standardization project, and reduce its signature generation time by 13–14%. Second, we develop an isochronous Gaussian sampler based on rejection sampling. Our Algorithm can securely sample from Gaussian distributions with different standard deviations and arbitrary centers. We apply it to PALISADE (S&P 2018), an open-source lattice-based cryptography library. During the online phase of trapdoor sampling, the running time of the G-lattice sampling algorithm is reduced by 44.12% while resisting timing attacks. Third, we improve the efficiency of the COSAC sampler (PQC 2020). The new COSAC sampler is 1.46x–1.63x faster than the original and has the lowest expected number of trials among all Gaussian samplers based on rejection samplings. But it needs a more efficient algorithm sampling from the normal distribution to improve its performance.
Year
DOI
Venue
2022
10.1186/s42400-022-00113-0
Cybersecurity
Keywords
DocType
Volume
Lattice-based cryptography, Gaussian sampler, Rejection sampling, Timing attacks, Trapdoor
Journal
5
Issue
ISSN
Citations 
1
2523-3246
0
PageRank 
References 
Authors
0.34
7
5
Name
Order
Citations
PageRank
Shuo Sun100.68
YongBin Zhou213627.58
Yunfeng Ji385.19
Rui Zhang475.87
Yang Tao501.69