[Resource Topic] 2022/074: FINAL: Faster FHE instantiated with NTRU and LWE

Welcome to the resource topic for 2022/074

Title:
FINAL: Faster FHE instantiated with NTRU and LWE

Authors: Charlotte Bonte, Ilia Iliashenko, Jeongeun Park, Hilder V. L. Pereira, Nigel P. Smart

Abstract:

The NTRU problem is a promising candidate to build efficient Fully Homomorphic Encryption (FHE). However, all the existing proposals (e.g. LTV, YASHE) need so-called `overstretched’ parameters of NTRU to enable homomorphic operations. It was shown by Albrecht et al. (CRYPTO 2016) that these parameters are vulnerable against subfield lattice attacks. Based on a recent, more detailed analysis of the overstretched NTRU assumption by Ducas and van Woerden (ASIACRYPT 2021), we construct two FHE schemes whose NTRU parameters lie outside the overstretched range. The first scheme is based solely on NTRU and demonstrates competitive performance against the state-of-the-art FHE schemes including TFHE. Our second scheme, which is based on both the NTRU and LWE assumptions, outperforms TFHE with a 28% faster bootstrapping and 45% smaller bootstrapping and key-switching keys.

ePrint: https://eprint.iacr.org/2022/074

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .