Paper 2022/1092 Original: eprint.iacr.org/2022/1092 ↗
On NTRU-ν-um Modulo $X^N − 1$
Abstract
NTRU-ν-um is a fully homomorphic encryption schemes making use of NTRU as a building block. NTRU-ν-um comes originally in two versions: a first instantiation working with polynomials modulo $X^N - 1$ with $N$ a prime [cyclic version] and a second instantiation working with polynomials modulo $X^N + 1$ with $N$ a power of two [negacyclic version]. The cyclic version is now deprecated. This work shows that the cyclic version of NTRU-ν-um is not secure. Specifically, it does not provide indistinguishability of encryptions. More critically, the scheme leaks the underlying private LWE keys. Source code for mounting the attacks is provided. The attacks were practically validated on the given parameter sets.
Metadata
- Available format(s)
PDF- Category
- Attacks and cryptanalysis
- Publication info
- Preprint.
- History
- 2023-04-08: last updated
- 2022-08-23: published
- Short URL
- https://ia.cr/2022/1092
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2022/1092,
author = {Marc Joye},
title = {On NTRU-ν-um Modulo $X^N − 1$},
howpublished = {Cryptology {ePrint} Archive, Paper 2022/1092},
year = {2022},
url = {https://eprint.iacr.org/2022/1092}
}