Paper 2020/995 Original: eprint.iacr.org/2020/995 ↗
Bootstrapping fully homomorphic encryption over the integers in less than one second
Abstract
One can bootstrap LWE-based fully homomorphic encryption (FHE) schemes in less than one second, but bootstrapping AGCD-based FHE schemes, also known as FHE over the integers, is still very slow. In this work we propose a fast bootstrapping method for FHE over the integers, closing thus this gap between these two types of schemes. We use a variant of the AGCD problem to construct a new GSW-like scheme that can natively encrypt polynomials, then, we show how the single-gate bootstrapping method proposed by Ducas and Micciancio (EUROCRYPT 2015) can be adapted to FHE over the integers using our scheme, and we implement a bootstrapping that, using around 400 MB of key material, runs in less than one second in a common personal computer.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2021-04-13: last updated
- 2020-08-18: published
- Short URL
- https://ia.cr/2020/995
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/995,
author = {Hilder Vitor Lima Pereira},
title = {Bootstrapping fully homomorphic encryption over the integers in less than one second},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/995},
year = {2020},
url = {https://eprint.iacr.org/2020/995}
}