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The explosion in the volumes of data being stored online has resulted in distributed storage systems transitioning to erasure coding based schemes. Yet, the codes being deployed in practice are fairly short. In this work, we address what we…

Information Theory · Computer Science 2016-09-22 Parikshit Gopalan , Guangda Hu , Swastik Kopparty , Shubhangi Saraf , Carol Wang , Sergey Yekhanin

Erasure codes are being increasingly used in distributed-storage systems in place of data-replication, since they provide the same level of reliability with much lower storage overhead. We consider the problem of constructing explicit…

Information Theory · Computer Science 2015-09-08 Preetum Nakkiran , K. V. Rashmi , Kannan Ramchandran

We study the performance of Reed-Solomon (RS) codes for the \em exact repair problem \em in distributed storage. Our main result is that, in some parameter regimes, Reed-Solomon codes are optimal regenerating codes, among MDS codes with…

Information Theory · Computer Science 2016-08-10 Venkatesan Guruswami , Mary Wootters

For scalar maximum distance separable (MDS) codes, the conventional repair schemes that achieve the cut-set bound with equality for the single-node repair have been proven to require a super-exponential sub-packetization level.As is well…

Information Theory · Computer Science 2026-03-16 Wei Zhao , Fang-Wei Fu , Ximing Fu

This paper considers data secrecy in distributed storage systems (DSSs) using maximally recoverable locally repairable codes (MR-LRCs). Conventional MR-LRCs are in general not secure against eavesdroppers who can observe the transmitted…

Information Theory · Computer Science 2024-05-13 Tim Janz , Hedongliang Liu , Rawad Bitar , Frank R. Kschischang

In distributed storage systems that use coding, the issue of minimizing the communication required to rebuild a storage node after a failure arises. We consider the problem of repairing an erased node in a distributed storage system that…

Information Theory · Computer Science 2010-09-20 Zhiying Wang , Alexandros G. Dimakis , Jehoshua Bruck

Erasure correcting codes are widely used to ensure data persistence in distributed storage systems. This paper addresses the simultaneous repair of multiple failures in such codes. We go beyond existing work (i.e., regenerating codes by…

Information Theory · Computer Science 2013-09-18 Anne-Marie Kermarrec , Gilles Straub , Nicolas Le Scouarnec

As storage systems grow in size, device failures happen more frequently than ever before. Given the commodity nature of hard drives employed, a storage system needs to tolerate a certain number of disk failures while maintaining data…

Information Theory · Computer Science 2014-05-20 Yan Wang , Xunrui Yin , Xin Wang

This paper aims to go beyond resilience into the study of security and local-repairability for distributed storage systems (DSS). Security and local-repairability are both important as features of an efficient storage system, and this paper…

Information Theory · Computer Science 2016-11-17 Ankit Singh Rawat , O. Ozan Koyluoglu , Natalia Silberstein , Sriram Vishwanath

Distributed data storage systems are essential to deal with the need to store massive volumes of data. In order to make such a system fault-tolerant, some form of redundancy becomes crucial, incurring various overheads - most prominently in…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-25 Frederique Oggier , Anwitaman Datta

Partial-MDS (PMDS) codes are a family of locally repairable codes, mainly used for distributed storage. They are defined to be able to correct any pattern of $s$ additional erasures, after a given number of erasures per locality group have…

Information Theory · Computer Science 2017-07-05 Anna-Lena Horlemann-Trautmann , Alessandro Neri

Regenerating codes (RCs) can significantly reduce the repair-bandwidth of distributed storage networks. Initially, the analysis of RCs was based on the assumption that during the repair process, the newcomer does not distinguish (among all…

Information Theory · Computer Science 2016-04-29 Imad Ahmad , Chih-Chun Wang

In this paper, we study distributed storage problems over unidirectional ring networks, whose storage nodes form a directed ring and data is transmitted along the same direction. The original data is distributed to store on these nodes.…

Information Theory · Computer Science 2014-04-15 Jiyong Lu , Xuan Guang , Fang-Wei Fu

Erasure coding is widely used for massive storage in data centers to achieve high fault tolerance and low storage redundancy. Since the cross-rack communication cost is often high, it is critical to design erasure codes that minimize the…

Information Theory · Computer Science 2019-02-26 Hanxu Hou , Patrick P. C. Lee , Kenneth W. Shum , Yuchong Hu

Heterogeneous Distributed Storage Systems (DSSs) are close to the real world applications for data storage. Each node of the considered DSS, may store different number of packets and each having different repair bandwidth with uniform…

Information Theory · Computer Science 2016-07-22 Krishna Gopal Benerjee , Manish K. Gupta

When there are multiple node failures in a distributed storage system, regenerating the failed storage nodes individually in a one-by-one manner is suboptimal as far as repair-bandwidth minimization is concerned. If data exchange among the…

Information Theory · Computer Science 2016-11-15 Kenneth W. Shum

Blockchain is a distributed ledger with wide applications. Due to the increasing storage requirement for blockchains, the computation can be afforded by only a few miners. Sharding has been proposed to scale blockchains so that storage and…

Cryptography and Security · Computer Science 2020-11-13 Divija Swetha Gadiraju , V. Lalitha , Vaneet Aggarwal

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 el al. provided a precise characterization of…

Information Theory · Computer Science 2018-01-15 Shuo Shao , Tie Liu , Chao Tian , Cong Shen

The {\em repair locality} of a distributed storage code is the maximum number of nodes that ever needs to be contacted during the repair of a failed node. Having small repair locality is desirable, since it is proportional to the number of…

Information Theory · Computer Science 2013-01-21 Henk D. L. Hollmann

This paper presents an explicit construction of a class of optimal-access, minimum storage regenerating (MSR) codes, for small values of the number $d$ of helper nodes. The construction is valid for any parameter set $(n,k,d)$ with $d \in…

Information Theory · Computer Science 2021-09-23 Myna Vajha , S. B. Balaji , P. Vijay Kumar