Private Set Intersection for Unequal Set Sizes with Mobile Applications

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Date
2017-10-10
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Mcode
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Language
en
Pages
177–197
Series
Proceedings on Privacy Enhancing Technologies, Volume 2017, issue 4
Abstract
Private set intersection (PSI) is a cryptographic technique that is applicable to many privacy-sensitive scenarios. For decades, researchers have been focusing on improving its efficiency in both communication and computation. However, most of the existing solutions are inefficient for an unequal number of inputs, which is common in conventional client-server settings. In this paper, we analyze and optimize the efficiency of existing PSI protocols to support precomputation so that they can efficiently deal with such input sets. We transform four existing PSI protocols into the precomputation form such that in the setup phase the communication is linear only in the size of the larger input set, while in the online phase the communication is linear in the size of the smaller input set. We implement all four protocols and run experiments between two PCs and between a PC and a smartphone and give a systematic comparison of their performance. Our experiments show that a protocol based on securely evaluating a garbled AES circuit achieves the fastest setup time by several orders of magnitudes, and the fastest online time in the PC setting where AES-NI acceleration is available. In the mobile setting, the fastest online time is achieved by a protocol based on the Diffie-Hellman assumption.
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Keywords
Private set intersection, Bloom filter, Oblivious pseudorandom function
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Citation
Kiss, Á, Liu, J, Schneider, T, Asokan, N & Pinkas, B 2017, Private Set Intersection for Unequal Set Sizes with Mobile Applications . in Proceedings on Privacy Enhancing Technologies . Proceedings on Privacy Enhancing Technologies, no. 4, vol. 2017, De Gruyter, pp. 177–197, Privacy Enhancing Technologies Symposium, Stockholm, Sweden, 16/07/2019 . https://doi.org/10.1515/popets-2017-0044