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arXiv · 2405.06098

Secure Storage using Maximally Recoverable Locally Repairable Codes

Tim Janz·Hedongliang Liu·Rawad Bitar·Frank R. Kschischang
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Abstract

This paper considers data secrecy in distributed storage systems (DSSs) using maximally recoverable locally repairable codes (MR-LRCs). Conventional MR-LRCs are in general not secure against eavesdroppers who can observe the transmitted data during a global repair operation. This work enables nonzero secrecy dimension of DSSs encoded by MR-LRCs through a new repair framework. The key idea is to associate each local group with a central processing unit (CPU), which aggregates and transmits the contribution from the intact nodes of their group to the CPU of a group needing a global repair. The aggregation is enabled by so-called local polynomials that can be generated independently in each group. Two different schemes -- direct repair and forwarded repair -- are considered, and their secrecy dimension using MR-LRCs is derived. Positive secrecy dimension is enabled for several parameter regimes.

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Tim Janz, Hedongliang Liu, Rawad Bitar, Frank R. Kschischang. 2024-05-09. Secure Storage using Maximally Recoverable Locally Repairable Codes. https://arxiv.org/abs/2405.06098

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