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EPiC: efficient privacy-preserving counting for MapReduce

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Abstract

In the face of an untrusted cloud infrastructure, outsourced data needs to be protected. We present EPiC, a practical protocol for the privacy-preserving evaluation of a fundamental operation on data sets: frequency counting. In an encrypted outsourced data set, a cloud user can specify a pattern, and the cloud will count the number of occurrences of this pattern in an oblivious manner. A pattern is expressed as a Boolean formula on the fields of data records and can specify values counting, value comparison, range counting, and conjunctions/disjunctions of field values. We show how a general pattern, defined by a Boolean formula, is arithmetized into a multivariate polynomial and used in EPiC. To increase the performance of the system, we introduce a new privacy-preserving encoding with “somewhat homomorphic” properties. The encoding is highly efficient in our particular counting scenario. Besides a formal analysis where we prove EPiC ’s privacy, we also present implementation and evaluation results. We specifically target Google’s prominent MapReduce paradigm as offered by major cloud providers. Our evaluation performed both locally and in Amazon’s public cloud with up to 1 TByte data sets shows only a modest overhead of \(20\%\) compared to non-private counting, attesting to EPiC ’s efficiency.

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Notes

  1. Domain size \(|\mathcal {D}_k|\) indicates the number of different values a field can take.

  2. \(\Vert X\Vert =\lceil \log _2|X|\rceil \) denotes size in bits of X.

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Acknowledgements

This work was partially supported by NSF Grant 1218197.

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Authors and Affiliations

  1. Northeastern University, Boston, MA, 02115, USA

    Triet Dang Vo-Huu & Guevara Noubir

  2. Airbus Group Innovations, 81663, Munich, Germany

    Erik-Oliver Blass

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  1. Triet Dang Vo-Huu
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Correspondence to Triet Dang Vo-Huu.

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Vo-Huu, T.D., Blass, EO. & Noubir, G. EPiC: efficient privacy-preserving counting for MapReduce. Computing 101, 1265–1286 (2019). https://doi.org/10.1007/s00607-018-0634-5

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