Title
Accelerating NTRU based homomorphic encryption using GPUs
Abstract
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 polynomials 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.
Year
DOI
Venue
2014
10.1109/HPEC.2014.7041001
HPEC
Keywords
DocType
Volume
modular multiplications,chinese remainder theorem,cryptography,discrete fourier transform library,graphics processing units,polynomials coefficients,nvidia gpu,relinearization operation,aes block cipher,fully-homomorphic encryption schemes,software libraries,residue space,large-polynomial arithmetic library,multiplication operation,homomorphic evaluation operations,ntru-based homomorphic encryption acceleration,prince block cipher,addition operation
Journal
2014
ISSN
ISBN
Citations 
2377-6943
978-1-4799-6232-7
21
PageRank 
References 
Authors
0.79
23
3
Name
Order
Citations
PageRank
Wei Dai1403.25
Yarkin Doröz212410.11
Berk Sunar395668.31