{"title":"A Transformation of Repairing Reed-Solomon Codes from Rack-Aware Storage Model to Homogeneous Storage Model","authors":"Yumeng Yang, Han Cai, Xiaohu Tang","doi":"arxiv-2401.11390","DOIUrl":null,"url":null,"abstract":"In this paper, we address the node repair problem of Reed-Solomon (RS) coded\ndistributed storage systems. Specifically, to overcome the challenges of\nmultiple-node failures of RS codes under the rack-aware storage model, we\nemploy good polynomials to guide the placement of the conventional RS codes\ninto racks and then propose a novel repair framework for the resultant\nrack-aware RS codes, which can transform its repair to that under the\nhomogeneous storage model. As applications of our repair framework, firstly we\npresent the repair scheme of multiple-node failures for some existing\nconstructions, which can only repair a single-node failure before. Secondly, we\ndeduce several new constructions of rack-aware RS codes supporting the repair\nof multiple-node failures.","PeriodicalId":501433,"journal":{"name":"arXiv - CS - Information Theory","volume":"35 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2401.11390","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we address the node repair problem of Reed-Solomon (RS) coded
distributed storage systems. Specifically, to overcome the challenges of
multiple-node failures of RS codes under the rack-aware storage model, we
employ good polynomials to guide the placement of the conventional RS codes
into racks and then propose a novel repair framework for the resultant
rack-aware RS codes, which can transform its repair to that under the
homogeneous storage model. As applications of our repair framework, firstly we
present the repair scheme of multiple-node failures for some existing
constructions, which can only repair a single-node failure before. Secondly, we
deduce several new constructions of rack-aware RS codes supporting the repair
of multiple-node failures.
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