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}.
翻译：最小仓储记录再生( MSRR) 代码是重生代码的变异, 使裂变模式中的单一节点故障达到最佳修理带宽。 作者 in ⁇ cite{ Chen- Barg2019} 和 ⁇ cite ⁇ hou- Zhang2021} 提供了所有参数的清晰构建 MSR 代码以修复单一失败节点。 本文将 ⁇ cite{ Chen- Barg2019} 的结果概括到多个节点故障的情况。 我们建议了一组 MDS 阵列代码和 scalar Reed- Solomon ( RS) 代码, 并显示这些代码对于裂变储存模式中的多个节点故障具有最佳修理带宽度和差错适应能力。 此外, 我们的代码保持与在 ⁇ cite{ Chen- barg2019} 和 ⁇ citehou- Zhang2021} 的低接入建设相同的访问水平 。
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