Paper 2022/1490 Original: eprint.iacr.org/2022/1490 ↗

Efficient Gaussian sampling for RLWE-based cryptography through a fast Fourier transform

Marcio Barbado Junior
Abstract

Quantum computing threatens classical cryptography, leading to the search for stronger alternatives. The cryptographic approach based on lattices is considered as a viable option. Schemes with that approach use Gaussian sampling, a design which brings along two concerns: efficiency and information leakage. This work addresses those concerns in the RLWE formulation, for digital signatures. Efficiency mitigation uses the central limit theorem, and the Walsh–Hadamard transform, whereas the information leakage risk is reduced via isochronous implementation. Up to \( 2^{23} \) samples are queried, and the results are compared against those of a cumulative distribution table sampler. Statistical metrics show the suitability of the presented sampler in a number of contexts.

Metadata
Available format(s)
PDF
Category
Applications
Publication info
Preprint.
History
2022-10-30: last updated
2022-10-30: published
Short URL
https://ia.cr/2022/1490
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/1490,
      author = {Marcio Barbado Junior},
      title = {Efficient Gaussian sampling for RLWE-based cryptography through a fast Fourier transform},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1490},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1490}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.