"Implementation and performance evaluation of RNS variants of the BFV h" by Ahmad Al Badawi, Yuriy Polyakov et al.
 

Implementation and performance evaluation of RNS variants of the BFV homomorphic encryption scheme

Document Type

Article

Publication Date

4-1-2021

Abstract

Homomorphic encryption is an emerging form of encryption that provides the ability to compute on encrypted data without ever decrypting them. Potential applications include aggregating sensitive encrypted data on a cloud environment and computing on the data in the cloud without compromising data privacy. There have been several recent advances resulting in new homomorphic encryption schemes and optimized variants. We implement and evaluate the performance of two optimized variants, namely Bajard-Eynard-Hasan-Zucca (BEHZ) and Halevi-Polyakov-Shoup (HPS), of the most promising homomorphic encryption scheme in CPU and GPU. The most interesting (and also unexpected) result of our performance evaluation is that the HPS variant in practice scales significantly better (typically by 15-30 percent) with increase in multiplicative depth of the computation circuit than BEHZ, implying that the HPS variant will always outperform BEHZ for most practical applications. For the multiplicative depth of 98, our fastest GPU implementation performs homomorphic multiplication in 51 ms for 128-bit security settings, which is faster by two orders of magnitude than prior results and already practical for cloud environments supporting GPU computations. Large multiplicative depths supported by our implementations are required for applications involving deep neural networks, logistic regression learning, and other important machine learning problems.

Identifier

85107516558 (Scopus)

Publication Title

IEEE Transactions on Emerging Topics in Computing

External Full Text Location

https://doi.org/10.1109/TETC.2019.2902799

e-ISSN

21686750

First Page

941

Last Page

956

Issue

2

Volume

9

Fund Ref

Office of the Director of National Intelligence

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