Paper 2021/691 Original: eprint.iacr.org/2021/691 ↗
General Bootstrapping Approach for RLWE-based Homomorphic Encryption
Abstract
We propose a new bootstrapping approach that works for all three Brakerski-Gentry-Vaikuntanathan (BGV), Brakerski/Fan-Vercauteren (BFV), and Cheon-Kim-Kim-Song (CKKS) schemes. This approach adopts a blind rotation technique from FHEW-type schemes. For BGV and BFV, our bootstrapping does not have any restrictions on plaintext modulus unlike typical cases of the previous methods. For CKKS, our approach introduces an error comparable to a rescaling error which enables more than 70 bits of precision after bootstrapping while consuming only 1-2 levels. Due to the high precision of the proposed bootstrapping algorithm, it is the first bootstrapping resistant to the security vulnerability of CKKS found by Li and Micciancio (Eurocrypt 2021). In addition, we introduce methods to reduce the size of public keys required for blind rotations generated by a secret key holder.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2021-10-15: last updated
- 2021-05-28: published
- Short URL
- https://ia.cr/2021/691
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/691,
author = {Andrey Kim and Maxim Deryabin and Jieun Eom and Rakyong Choi and Yongwoo Lee and Whan Ghang and Donghoon Yoo},
title = {General Bootstrapping Approach for RLWE-based Homomorphic Encryption},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/691},
year = {2021},
url = {https://eprint.iacr.org/2021/691}
}