Paper 2013/164 Original: eprint.iacr.org/2013/164 ↗
Provably Secure LWE Encryption with Smallish Uniform Noise and Secret
Abstract
In this paper we present the (to the best of our knowledge) first LWE-based encryption scheme that removes the need of Gaussian sampling for the error, i.e. the discrete Gaussian distribution is replaced by the uniform distribution on a (small) set, which at the same time preserves the underlying worst-case hardness. This shows that provable security and efficiency do not necessarily have to mutually exclude each other. We give an asymptotic parameter instantiation for our scheme, as well as some hardness results for LWE which might be of independent interest.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2014-04-10: last updated
- 2013-03-26: published
- Short URL
- https://ia.cr/2013/164
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2013/164,
author = {Daniel Cabarcas and Florian Göpfert and Patrick Weiden},
title = {Provably Secure LWE Encryption with Smallish Uniform Noise and Secret},
howpublished = {Cryptology {ePrint} Archive, Paper 2013/164},
year = {2013},
url = {https://eprint.iacr.org/2013/164}
}