Private Database Queries Using Somewhat Homomorphic Encryption
In a private database query system, a client issues queries to a database and obtains the results without learning anything else about the database and without the server learning the query. While previous work has yielded systems that can efficiently support disjunction queries, performing conjunction queries privately remains an open problem. In this work, we show that using a polynomial encoding of the database enables efficient implementations of conjunction queries using somewhat homomorphic encryption. We describe a three-party protocol that supports efficient evaluation of conjunction queries. Then, we present two implementations of our protocol using Paillier’s additively homomorphic system as well as Brakerski’s somewhat homomorphic cryptosystem. Finally, we show that the additional homomorphic properties of the Brakerski cryptosystem allow us to handle queries involving several thousand elements over a million-record database in just a few minutes, far outperforming the implementation using the additively homomorphic system.
KeywordsSingle Instruction Multiple Data Inverted Index Conjunction Query Homomorphic Encryption Modular Reduction
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- 2.Brakerski, Z., Gentry, C., Vaikuntanathan, V.: Fully homomorphic encryption without bootstrapping. In: Innovations in ITCS 2012 (2012)Google Scholar
- 5.Gentry, C.: A fully homomorphic encryption scheme. Ph.D. thesis, Stanford University (2009), http://crypto.stanford.edu/craig
- 8.Gertner, Y., Ishai, Y., Kushilevitz, E., Malkin, T.: Protecting data privacy in private information retrieval schemes. In: STOC 1998, pp. 151–160 (1998)Google Scholar
- 13.Raykova, M., Cui, A., Vo, B., Liu, B., Malkin, T., Bellovin, S.M., Stolfo, S.J.: Usable, Secure, Private Search. IEEE Security and Privacy, 53–60 (October 2012)Google Scholar
- 14.Smart, N.P., Vercauteren, F.: Fully homomorphic SIMD operations (2011), Manuscript at http://eprint.iacr.org/2011/133