English

Rack-Aware MSR Codes with Multiple Erasure Tolerance

Information Theory 2021-09-20 v1 math.IT

Abstract

The minimum storage rack-aware regenerating (MSRR) code is a variation of regenerating codes that achieves the optimal repair bandwidth for a single node failure in the rack-aware model. The authors in~\cite{Chen-Barg2019} and~\cite{Zhou-Zhang2021} provided explicit constructions of MSRR codes for all parameters to repair a single failed node. This paper generalizes the results in~\cite{Chen-Barg2019} to the case of multiple node failures. We propose a class of MDS array codes and scalar Reed-Solomon (RS) codes, and show that these codes have optimal repair bandwidth and error resilient capability for multiple node failures in the rack-aware storage model. Besides, our codes keep the same access level as the low-access constructions in~\cite{Chen-Barg2019} and~\cite{Zhou-Zhang2021}.

Keywords

Cite

@article{arxiv.2109.08302,
  title  = {Rack-Aware MSR Codes with Multiple Erasure Tolerance},
  author = {Jiaojiao Wang and Dabin Zheng and Shenghua Li},
  journal= {arXiv preprint arXiv:2109.08302},
  year   = {2021}
}

Comments

Distributed storage; Multiple erasure tolerance; MSRR codes; Universally error-resilient repair

R2 v1 2026-06-24T06:03:34.903Z