Title: Efficient coding for secure computing with additively-homomorphic encrypted data

Authors: Thijs Veugen

Addresses: Unit ICT, TNO, The Hague, The Netherlands; Research Group Cryptology, CWI, Amsterdam, The Netherlands

Abstract: A framework is introduced for efficiently computing with encrypted data. We assume a semi-honest security model with two computing parties. Two different coding techniques are used with additively homomorphic encryption, such that many values can be put into one large encryption, and additions and multiplications can be performed on all values simultaneously. For more complicated operations such as comparisons and equality tests, bit-wise secret sharing is proposed as an additional technique that has a low computational and communication complexity, and which allows for precomputing. The framework is shown to significantly improve the computational complexity of state-of-the-art solutions on generic operations such as secure comparisons and secure set intersection.

Keywords: packing; batching; homomorphic encryption; secure comparison; secure equality; secure set intersection; vector addition chain.

DOI: 10.1504/IJACT.2020.10029196

International Journal of Applied Cryptography, 2020 Vol.4 No.1, pp.1 - 15

Received: 30 Sep 2017
Accepted: 08 Oct 2018

Published online: 06 May 2020 *

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