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cuHE: A Homomorphic Encryption Accelerator Library

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Cryptography and Information Security in the Balkans (BalkanCryptSec 2015)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9540))

Abstract

We introduce a CUDA GPU library to accelerate evaluations with homomorphic schemes defined over polynomial rings enabled with a number of optimizations including algebraic techniques for efficient evaluation, memory minimization techniques, memory and thread scheduling and low level CUDA hand-tuned assembly optimizations to take full advantage of the mass parallelism and high memory bandwidth GPUs offer. The arithmetic functions constructed to handle very large polynomial operands using number-theoretic transform (NTT) and Chinese remainder theorem (CRT) based methods are then extended to implement the primitives of the leveled homomorphic encryption scheme proposed by López-Alt, Tromer and Vaikuntanathan. To compare the performance of the proposed CUDA library we implemented two applications: the Prince block cipher and homomorphic sorting algorithms on two GPU platforms in single GPU and multiple GPU configurations. We observed a speedup of 25 times and 51 times over the best previous GPU implementation for Prince with single and triple GPUs, respectively. Similarly for homomorphic sorting we obtained 12–41 times speedup depending on the number and size of the sorted elements.

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Acknowledgment

Funding for this research was in part provided by the US National Science Foundation CNS Award #1319130.

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Authors and Affiliations

  1. Worcester Polytechnic Institute, Worcester, MA, USA

    Wei Dai & Berk Sunar

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  1. Wei Dai
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  2. Berk Sunar
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Correspondence to Wei Dai .

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Editors and Affiliations

  1. University of Primorska, Koper, Slovenia

    Enes Pasalic

  2. Technical University of Denmark, Kgs. Lyngby, Denmark

    Lars R. Knudsen

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Dai, W., Sunar, B. (2016). cuHE: A Homomorphic Encryption Accelerator Library. In: Pasalic, E., Knudsen, L. (eds) Cryptography and Information Security in the Balkans. BalkanCryptSec 2015. Lecture Notes in Computer Science(), vol 9540. Springer, Cham. https://doi.org/10.1007/978-3-319-29172-7_11

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  • DOI: https://doi.org/10.1007/978-3-319-29172-7_11

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