Rack-Aware MSR Codes with Multiple Erasure Tolerance
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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 <cit.> and <cit.> provided explicit constructions of MSRR codes for all parameters to repair a single failed node. This paper generalizes the results in <cit.> 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 <cit.> and <cit.>.
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