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Code constructions for multi-node exact repair in distributed storage

Science China(Information Sciences) 2018年第10期61卷 80-97页

作者： Marwen ZORGUI Zhiying WANG Center for Pervasive Communications and Computing(CPCC) Department of Electrical Engineering and Computer Science University of California at Irvine

We study the problem of centralized exact repair of multiple failures in distributed *** present constructions that achieve a new set of interior points under exact repair. The constructions build upon the layered code construction by Tian et al., designed for exact repair of single failure. We firstly improve upon the layered construction for general system parameters. Then, we extend the improved construction to support the repair of multiple failures, with varying number of helpers. In particular, for some parameters, we prove the optimality of one point in terms of the storage size and the repair bandwidth for multiple erasures. Finally, considering minimum bandwidth cooperative repair(MBCR) codes as centralized repair codes, we determine explicitly the best achievable region obtained by space-sharing among all known points, including the MBCR point.

关键词： regenerating codes exact repair multiple failures interior points Steiner systems

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New results on multilevel diversity coding with secure regeneration

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Science China(Information Sciences) 2018年第10期61卷 130-143页

作者： Shuo SHAO Tie LIU Chao TIAN Cong SHEN Department of Electrical Engineering Shanghai Jiaotong University Department of Electrical Engineering Texas A&M University School of Information Science and Technology University of Science & Technology of China

The problem of multilevel diversity coding with secure regeneration is revisited. Under the assumption that the eavesdropper can access the repair data for all compromised storage nodes, Shao et *** a precise characterization of the minimum-bandwidth-regeneration(MBR) point of the achievable normalized storage-capacity repair-bandwidth tradeoff region. In this paper, it is shown that the MBR point of the achievable normalized storage-capacity repair-bandwidth tradeoff region remains the same even if we assume that the eavesdropper can access the repair data for some compromised storage nodes(defined as the type II compromised nodes) but only the data contents of the remaining compromised nodes(defined as the type I compromised nodes), as long as the number of type I compromised nodes is no greater than that of type II compromised nodes.

关键词： distributed storage regenerating code exact repair secrecy constraint MBR point

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