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In this paper, we address the node repair problem of Reed-Solomon (RS) codeddistributed storage systems. Specifically, to overcome the challenges ofmultiple-node failures of RS codes under the rack-aware storage model, weemploy good polynomials to guide the placement of the conventional RS codesinto racks and then propose a novel repair framework for the resultantrack-aware RS codes, which can transform its repair to that under thehomogeneous storage model. As applications of our repair framework, firstly wepresent the repair scheme of multiple-node failures for some existingconstructions, which can only repair a single-node failure before. Secondly, wededuce several new constructions of rack-aware RS codes supporting the repairof multiple-node failures.

A Transformation of Repairing Reed-Solomon Codes from Rack-Aware Storage Model to Homogeneous Storage Model