Paper 2024/314
Exploring the Advantages and Challenges of Fermat NTT in FHE Acceleration
Abstract
Recognizing the importance of a fast and resource-efficient polynomial multiplication in homomorphic encryption, in this paper, we design a multiplier-less number theoretic transform using a Fermat number as an auxiliary modulus. To make this algorithm scalable with the degree of polynomial, we apply a univariate to multivariate polynomial ring transformation. We develop an accelerator architecture for fully homomorphic encryption using these algorithmic techniques for efficient multivariate polynomial multiplication. For practical homomorphic encryption application benchmarks, the hardware accelerator achieves a 1,200$\times$ speed-up compared to software implementations. Finally, we conclude the paper by discussing the advantages and limitations of the proposed polynomial multiplication method.
Note: Accepted at CRYPTO 2024
Metadata
- Available format(s)
-
PDF
- Category
- Implementation
- Publication info
- Published elsewhere. Minor revision. crypto 2024
- Keywords
- Fermat numberNTTPolynomial MultiplierFHEHardware Accelerator
- Contact author(s)
-
andrey kim @ samsung com
ahmet mert @ iaik tugraz at
anisha mukherjee @ iaik tugraz at
aikata @ iaik tugraz at
max deriabin @ samsung com
sunmin7 kwon @ samsung com
hc1803 kang @ samsung com
sujoy sinharoy @ iaik tugraz at - History
- 2024-06-04: last of 2 revisions
- 2024-02-23: received
- See all versions
- Short URL
- https://ia.cr/2024/314
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2024/314,
author = {Andrey Kim and Ahmet Can Mert and Anisha Mukherjee and Aikata Aikata and Maxim Deryabin and Sunmin Kwon and HyungChul Kang and Sujoy Sinha Roy},
title = {Exploring the Advantages and Challenges of Fermat {NTT} in {FHE} Acceleration},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/314},
year = {2024},
url = {https://eprint.iacr.org/2024/314}
}
