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arXiv · 2201.00313

Secure Determinant Codes for Distributed Storage Systems

Adel Elmahdy·Michelle Kleckler·Soheil Mohajer
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Abstract

The information-theoretic secure exact-repair regenerating codes for distributed storage systems (DSSs) with parameters $(n,k=d,d,\ell)$ are studied in this paper. We consider distributed storage systems with $n$ nodes, in which the original data can be recovered from any subset of $k=d$ nodes, and the content of any node can be retrieved from those of any $d$ helper nodes. Moreover, we consider two secrecy constraints, namely, Type-I, where the message remains secure against an eavesdropper with access to the content of any subset of up to $\ell$ nodes, and Type-II, in which the message remains secure against an eavesdropper who can observe the incoming repair data from all possible nodes to a fixed but unknown subset of up to $\ell$ compromised nodes. Two classes of secure determinant codes are proposed for Type-I and Type-II secrecy constraints. Each proposed code can be designed for a range of per-node storage capacity and repair bandwidth for any system parameters. They lead to two achievable secrecy trade-offs, for Type-I and Type-II security.

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Adel Elmahdy, Michelle Kleckler, Soheil Mohajer. 2022-12-30. Secure Determinant Codes for Distributed Storage Systems. https://arxiv.org/abs/2201.00313

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