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arXiv · 2001.04241

Secure Distributed Storage: Rate-Privacy Trade-Off and XOR-Based Coding Scheme

Remi A. Chou·Joerg Kliewer
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Abstract

We consider the problem of storing data in a distributed manner over $T$ servers. We require the data (i) to be recoverable from the $T$ servers, and (ii) to remain private from any $T-1$ colluding servers, where privacy is quantified in terms of mutual information between the data and all the information available at the $T-1$ colluding servers. For this model, we determine (i) the fundamental trade-off between storage size and the level of desired privacy, (ii) the optimal amount of local randomness necessary at the encoder, and (iii)~an explicit low-complexity coding scheme that solely relies on XOR operations and that asymptotically (with the data size) matches the fundamental limits found.

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Remi A. Chou, Joerg Kliewer. 2020-01-13. Secure Distributed Storage: Rate-Privacy Trade-Off and XOR-Based Coding Scheme. https://arxiv.org/abs/2001.04241

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