Private Information Retrieval in Distributed Storage Systems Using an Arbitrary Linear Code

Siddhartha Kumar; Eirik Rosnes; Alexandre Graell i Amat

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arXiv · 1612.07084

Private Information Retrieval in Distributed Storage Systems Using an Arbitrary Linear Code

Siddhartha Kumar·Eirik Rosnes·Alexandre Graell i Amat

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Abstract

We propose an information-theoretic private information retrieval (PIR) scheme for distributed storage systems where data is stored using a linear systematic code of rate $R > 1/2$. The proposed scheme generalizes the PIR scheme for data stored using maximum distance separable codes recently proposed by Tajeddine and El Rouayheb for the scenario of a single spy node. We further propose an algorithm to optimize the communication price of privacy (cPoP) using the structure of the underlying linear code. As an example, we apply the proposed algorithm to several distributed storage codes, showing that the cPoP can be significantly reduced by exploiting the structure of the distributed storage code.

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Siddhartha Kumar, Eirik Rosnes, Alexandre Graell i Amat. 2016-12-21. Private Information Retrieval in Distributed Storage Systems Using an Arbitrary Linear Code. https://arxiv.org/abs/1612.07084

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