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Issue No. 09 - Sept. (2016 vol. 65)
ISSN: 0018-9340
pp: 2848-2858
Alhassan Khedr , Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada
Glenn Gulak , Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada
Vinod Vaikuntanathan , Department of Computer Science and Artificial Intelligence Laboratory, MIT, Cambridge, MA
Homomorphic encryption (HE) systems enable computations on encrypted data, without decrypting and without knowledge of the secret key. In this work, we describe an optimized Ring Learning With Errors (RLWE) based implementation of a variant of the HE system recently proposed by Gentry, Sahai and Waters (GSW). Although this system was widely believed to be less efficient than its contemporaries, we demonstrate quite the opposite behavior for a large class of applications. We first highlight and carefully exploit the algebraic features of the system to achieve significant speedup over the state-of-the-art HE implementation, namely the IBM homomorphic encryption library (HElib). We introduce several optimizations on top of our HE implementation, and use the resulting scheme to construct a homomorphic Bayesian spam filter, secure multiple keyword search, and a homomorphic evaluator for binary decision trees. Our results show a factor of $_$10\times$_$ improvement in performance (under the same security settings and CPU platforms) compared to IBM HElib for these applications. Our system is built to be easily portable to GPUs (unlike IBM HElib) which results in an additional speedup of up to a factor of $_$103.5\times$_$ to offer an overall speedup of $_$1{,}035\times$_$ .
Polynomials, Encryption, Electronic mail, Libraries, Graphics processing units

A. Khedr, G. Gulak and V. Vaikuntanathan, "SHIELD: Scalable Homomorphic Implementation of Encrypted Data-Classifiers," in IEEE Transactions on Computers, vol. 65, no. 9, pp. 2848-2858, 2016.
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