Abstract
In private set intersection (PSI), a set of parties, each holding a private data set, wish to compute the intersection over all data sets in a manner that guarantees both correctness and privacy. This secure computation task is of great importance and usability in many different real-life scenarios. Much research was dedicated to the construction of PSI-tailored concretely efficient protocols for the case of two-party PSI. The case of many parties has been given much less attention, despite probably being a more realistic setting for most applications.
In this work, we propose a new concretely efficient, highly scalable, secure computation protocol for multiparty PSI. Our protocol is an extension of the two-party PSI protocol of Dong et al. [ACM CCS’13] and uses the garbled Bloom filter primitive introduced therein. There are two main variants to our protocol. The first construction provides semi-honest security. The second construction provides (the slightly weaker) augmented semi-honest security, and is substantially more efficient. Furthermore, in the augmented semi-honest protocol all heavy computations can be performed ahead of time, in an offline phase, before the parties ever learn their inputs. This results in an online phase that requires only short interaction. Moreover, in the online phase, interactions are performed over a star topology network. All our constructions tolerate any number of corruptions.
We implemented our protocols and incorporated several optimization techniques. These techniques allow the running time of the protocol to be comparable to that of the two party protocol of Dong et al. and scale linearly with the number of parties. We ran extensive experiments to compare our protocol with the two-party protocol and to demonstrate the effect of the different optimizations.
Keywords
R. Inbar—Research supported by ISF grant 544/13.
E. Omri—Research supported by ISF grants 544/13 and 152/17.
B. Pinkas—Research supported by the BIU Center for Research in Applied Cryptography and Cyber Security in conjunction with the Israel National Cyber Bureau in the Prime Minsters Office, and by ISF grant 1018/16.
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- 1.
In the original work of [6], this value was x itself, rather than the all-zero string. This change is of no real importance, however, it makes the presentation of our construction simpler.
- 2.
Originally, the hypercube method [2] was used to speed up message propagation replacing a star like propagation scheme with a tree like scheme. We use it in order to aggregate messages sent by all parties to the server.
- 3.
We stress that as we run many instantiations of \(\mathcal{F}_{\text {OT}}\) in parallel, we need to use an \({\text {OT}}\) protocol that is secure under parallel composition.
References
Ben-Or, M., Goldwasser, S., Wigderson, A.: Completeness theorems for non-cryptographic fault-tolerant distributed computation (extended abstract). In: Proceedings of the 29th Annual Symposium on Foundations of Computer Science (FOCS), pp. 1–10 (1988)
Bertsekas, D.P., Özveren, C., Stamoulis, G.D., Tseng, P., Tsitsiklis, J.N.: Optimal communication algorithms for hypercubes. J. Parallel Distrib. Comput. 11(4), 263–275 (1991)
Bloom, B.H.: Space/time trade-offs in hash coding with allowable errors. Commun. ACM 13(7), 422–426 (1970)
Canetti, R.: Security and composition of multiparty cryptographic protocols. J. CRYPTOLOGY 13(1), 143–202 (2000)
De Cristofaro, E., Tsudik, G.: Practical private set intersection protocols with linear complexity. In: Sion, R. (ed.) FC 2010. LNCS, vol. 6052, pp. 143–159. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-14577-3_13
Dong, C., Chen, L., Wen, Z.: When private set intersection meets big data: an efficient and scalable protocol. In: The ACM Conference on Computer and Communications Security, CCS 2013, pp. 789–800. ACM (2013)
Freedman, M.J., Nissim, K., Pinkas, B.: Efficient private matching and set intersection. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 1–19. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24676-3_1
Freedman, M.J., Hazay, C., Nissim, K., Pinkas, B.: Efficient set intersection with simulation-based security. J. Cryptol. 29(1), 115–155 (2016)
Goldreich, O.: Foundations of Cryptography - Volume 2: Basic Applications. Cambridge University Press, Cambridge (2004)
Goldreich, O., Micali, S., Wigderson, A.: How to play any mental game or a completeness theorem for protocols with honest majority. In: STOC19, pp. 218–229 (1987)
Hazay, C., Venkitasubramaniam, M.: Scalable multi-party private set-intersection. In: Fehr, S. (ed.) PKC 2017 Part I. LNCS, vol. 10174, pp. 175–203. Springer, Heidelberg (2017). https://doi.org/10.1007/978-3-662-54365-8_8
Ishai, Y., Kilian, J., Nissim, K., Petrank, E.: Extending oblivious transfers efficiently. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 145–161. Springer, Heidelberg (2003). https://doi.org/10.1007/978-3-540-45146-4_9
Jarecki, S., Liu, X.: Efficient oblivious pseudorandom function with applications to adaptive OT and secure computation of set intersection. In: Reingold, O. (ed.) TCC 2009. LNCS, vol. 5444, pp. 577–594. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-00457-5_34
Jayachandran, P.: Murmur hash algorithm (2014). https://github.com/prasanthj/hasher. Accessed 6 Oct 2017
Jayachandran, P.: xxHash hash algorithm (2014). https://github.com/prasanthj/hasher. Accessed 6 Oct 2017
Kolesnikov, V., Kumaresan, R.: Improved OT extension for transferring short secrets. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013 Part II. LNCS, vol. 8043, pp. 54–70. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-40084-1_4
Kolesnikov, V., Kumaresan, R., Rosulek, M., Trieu, N.: Efficient batched oblivious PRF with applications to private set intersection. In: Proceedings of the 2016 ACM SIGSAC Conference on Computer and Communications Security, Vienna, Austria, 24–28 October 2016, pp. 818–829 (2016)
Kolesnikov, V., Matania, N., Pinkas, B., Rosulek, M., Trieu, N.: Practical multi-party private set intersection from symmetric-key techniques. In: The ACM Conference on Computer and Communications Security, CCS 2017 (2017)
Pinkas, B., Schneider, T., Zohner, M.: Faster private set intersection based on OT extension. In: Proceedings of the 23rd USENIX Security Symposium, pp. 797–812. USENIX Association (2014)
Pinkas, B., Schneider, T., Zohner, M.: Scalable private set intersection based on OT extension. Cryptology ePrint Archive, Report 2016/930 (2016)
Rindal, P., Rosulek, M.: Faster malicious 2-party secure computation with online/offline dual execution. In: 25th USENIX Security Symposium, USENIX Security, pp. 297–314. USENIX Association (2016)
IUCC Unit: Cyber Research, Experimentation and Test Environment (2017). https://createlab.iucc.ac.il/. Acessed 16 Oct 2017
Yao, A.C.: Protocols for secure computations. In: Proceedings of the 23th Annual Symposium on Foundations of Computer Science (FOCS), pp. 160–164 (1982)
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Inbar, R., Omri, E., Pinkas, B. (2018). Efficient Scalable Multiparty Private Set-Intersection via Garbled Bloom Filters. In: Catalano, D., De Prisco, R. (eds) Security and Cryptography for Networks. SCN 2018. Lecture Notes in Computer Science(), vol 11035. Springer, Cham. https://doi.org/10.1007/978-3-319-98113-0_13
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