Cryptology ePrint Archive: Report 2014/594

Oblivious Parallel RAM and Applications

Elette Boyle and Kai-Min Chung and Rafael Pass

Abstract: We initiate the study of cryptography for parallel RAM (PRAM) programs. The PRAM model captures modern multi-core architectures and cluster computing models, where several processors execute in parallel and make accesses to shared memory, and provides the “best of both” circuit and RAM models, supporting both cheap random access and parallelism.

We propose and attain the notion of Oblivious PRAM. We present a compiler taking any PRAM into one whose distribution of memory accesses is statistically independent of the data (with negligible error), while only incurring a polylogarithmic slowdown (in both total and parallel complexity). We discuss applications of such a compiler, building upon recent advances relying on Oblivious (sequential) RAM (Goldreich Ostrovsky JACM’12). In particular, we demonstrate the construction of a garbled PRAM compiler based on an OPRAM compiler and secure identity-based encryption.

Category / Keywords: foundations / Oblivious RAM

Date: received 2 Aug 2014, last revised 31 Aug 2015

Contact author: eboyle at alum mit edu

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Version: 20150831:182741 (All versions of this report)

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