Paper 2014/389
Accelerating NTRU based Homomorphic Encryption using GPUs
Wei Dai, Yarkın Doröz, and Berk Sunar
Abstract
In this work we introduce a large polynomial arithmetic library optimized for Nvidia GPUs to support fully homomorphic encryption schemes. To realize the large polynomial arithmetic library we convert the polynomial with large coefficients using the Chinese Remainder Theorem into many polynomials with small coefficients, and then carry out modular multiplications in the residue space using a custom developed discrete Fourier transform library. We further extend the library to support the homomorphic evaluation operations, i.e. addition, multiplication, and relinearization, in an NTRU based somewhat homomorphic encryption library. Finally, we put the library to use to evaluate homomorphic evaluation of two block ciphers: Prince and AES, which show 2.57 times and 7.6 times speedup, respectively, over an Intel Xeon software implementation.
Metadata
- Available format(s)
-
PDF
- Publication info
- Preprint. MINOR revision.
- Keywords
- Homomorphic encryptionGPUsNTRUPrinceAES
- Contact author(s)
- sunar @ wpi edu
- History
- 2014-05-30: received
- Short URL
- https://ia.cr/2014/389
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2014/389,
author = {Wei Dai and Yarkın Doröz and Berk Sunar},
title = {Accelerating {NTRU} based Homomorphic Encryption using {GPUs}},
howpublished = {Cryptology {ePrint} Archive, Paper 2014/389},
year = {2014},
url = {https://eprint.iacr.org/2014/389}
}