Efficient circuit-based PSI with linear communication

Benny Pinkas; Thomas Schneider; Oleksandr Tkachenko; Avishay Yanai

doi:10.1007/978-3-030-17659-4_5

Efficient circuit-based PSI with linear communication

Benny Pinkas
, Thomas Schneider
, Oleksandr Tkachenko
, Avishay Yanai

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

151 Scopus citations

Abstract

We present a new protocol for computing a circuit which implements the private set intersection functionality (PSI). Using circuits for this task is advantageous over the usage of specific protocols for PSI, since many applications of PSI do not need to compute the intersection itself but rather functions based on the items in the intersection. Our protocol is the first circuit-based PSI protocol to achieve linear communication complexity. It is also concretely more efficient than all previous circuit-based PSI protocols. For example, for sets of size 2²⁰ it improves the communication of the recent work of Pinkas et al. (EUROCRYPT’18) by more than 10 times, and improves the run time by a factor of 2.8x in the LAN setting, and by a factor of 5.8x in the WAN setting. Our protocol is based on the usage of a protocol for computing oblivious programmable pseudo-random functions (OPPRF), and more specifically on our technique to amortize the cost of batching together multiple invocations of OPPRF.

Original language	English
Title of host publication	Advances in Cryptology – EUROCRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings
Editors	Vincent Rijmen, Yuval Ishai
Publisher	Springer Verlag
Pages	122-153
Number of pages	32
ISBN (Print)	9783030176587
DOIs	https://doi.org/10.1007/978-3-030-17659-4_5
State	Published - 2019
Event	38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2019 - Darmstadt, Germany Duration: 19 May 2019 → 23 May 2019

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11478 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2019
Country/Territory	Germany
City	Darmstadt
Period	19/05/19 → 23/05/19

Bibliographical note

Publisher Copyright:
© International Association for Cryptologic Research 2019.

Funding

Acknowledgements. We thank Ben Riva and Udi Wieder for valuable discussions about this work. This work has been co-funded by the DFG within project E4 of the CRC CROSSING and by the BMBF and the HMWK within CRISP, by the BIU Center for Research in Applied Cryptography and Cyber Security in conjunction with the Israel National Cyber Bureau in the Prime Ministers Office, and by a grant from the Israel Science Foundation.

Funders
HMWK
Australian Prime Ministers Centre
Deutsche Forschungsgemeinschaft
Bundesministerium für Bildung und Forschung
Israel Science Foundation

Keywords

Private Set Intersection
Secure computation

Access to Document

10.1007/978-3-030-17659-4_5

Cite this

Pinkas, B., Schneider, T., Tkachenko, O., & Yanai, A. (2019). Efficient circuit-based PSI with linear communication. In V. Rijmen, & Y. Ishai (Eds.), Advances in Cryptology – EUROCRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings (pp. 122-153). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11478 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-030-17659-4_5

Pinkas, Benny ; Schneider, Thomas ; Tkachenko, Oleksandr et al. / Efficient circuit-based PSI with linear communication. Advances in Cryptology – EUROCRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. editor / Vincent Rijmen ; Yuval Ishai. Springer Verlag, 2019. pp. 122-153 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We present a new protocol for computing a circuit which implements the private set intersection functionality (PSI). Using circuits for this task is advantageous over the usage of specific protocols for PSI, since many applications of PSI do not need to compute the intersection itself but rather functions based on the items in the intersection. Our protocol is the first circuit-based PSI protocol to achieve linear communication complexity. It is also concretely more efficient than all previous circuit-based PSI protocols. For example, for sets of size 220 it improves the communication of the recent work of Pinkas et al. (EUROCRYPT{\textquoteright}18) by more than 10 times, and improves the run time by a factor of 2.8x in the LAN setting, and by a factor of 5.8x in the WAN setting. Our protocol is based on the usage of a protocol for computing oblivious programmable pseudo-random functions (OPPRF), and more specifically on our technique to amortize the cost of batching together multiple invocations of OPPRF.",

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Pinkas, B, Schneider, T, Tkachenko, O & Yanai, A 2019, Efficient circuit-based PSI with linear communication. in V Rijmen & Y Ishai (eds), Advances in Cryptology – EUROCRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11478 LNCS, Springer Verlag, pp. 122-153, 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2019, Darmstadt, Germany, 19/05/19. https://doi.org/10.1007/978-3-030-17659-4_5

Efficient circuit-based PSI with linear communication. / Pinkas, Benny; Schneider, Thomas; Tkachenko, Oleksandr et al.
Advances in Cryptology – EUROCRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. ed. / Vincent Rijmen; Yuval Ishai. Springer Verlag, 2019. p. 122-153 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11478 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - We present a new protocol for computing a circuit which implements the private set intersection functionality (PSI). Using circuits for this task is advantageous over the usage of specific protocols for PSI, since many applications of PSI do not need to compute the intersection itself but rather functions based on the items in the intersection. Our protocol is the first circuit-based PSI protocol to achieve linear communication complexity. It is also concretely more efficient than all previous circuit-based PSI protocols. For example, for sets of size 220 it improves the communication of the recent work of Pinkas et al. (EUROCRYPT’18) by more than 10 times, and improves the run time by a factor of 2.8x in the LAN setting, and by a factor of 5.8x in the WAN setting. Our protocol is based on the usage of a protocol for computing oblivious programmable pseudo-random functions (OPPRF), and more specifically on our technique to amortize the cost of batching together multiple invocations of OPPRF.

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Pinkas B, Schneider T, Tkachenko O, Yanai A. Efficient circuit-based PSI with linear communication. In Rijmen V, Ishai Y, editors, Advances in Cryptology – EUROCRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. Springer Verlag. 2019. p. 122-153. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-17659-4_5

Efficient circuit-based PSI with linear communication

Abstract

Publication series

Conference

Bibliographical note

Funding

Keywords

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