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MDS array codes are widely used in storage systems to protect data against erasures. We address the \emph{rebuilding ratio} problem, namely, in the case of erasures, what is the the fraction of the remaining information that needs to be…

Information Theory · Computer Science 2011-03-22 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

Fractional repetition (FR) codes are a family of repair-efficient storage codes that provide exact and uncoded node repair at the minimum bandwidth regenerating point. The advantageous repair properties are achieved by a tailor-made…

Information Theory · Computer Science 2020-05-15 Bing Zhu , Hui Li , Kenneth W. Shum , Shuo-Yen Robert Li

Partial MDS (PMDS) codes are erasure codes combining local (row) correction with global additional correction of entries, while Sector-Disk (SD) codes are erasure codes that address the mixed failure mode of current RAID systems. It has…

Information Theory · Computer Science 2014-01-21 Mario Blaum , James S. Plank , Moshe Schwartz , Eitan Yaakobi

Digital contents in large scale distributed storage systems may have different reliability and access delay requirements, and for this reason, erasure codes with different strengths need to be utilized to achieve the best storage…

Information Theory · Computer Science 2016-04-29 Chao Tian , Tie Liu

Distributed storage systems often introduce redundancy to increase reliability. When coding is used, the repair problem arises: if a node storing encoded information fails, in order to maintain the same level of reliability we need to…

Information Theory · Computer Science 2010-04-27 Alexandros G. Dimakis , Kannan Ramchandran , Yunnan Wu , Changho Suh

Distributed storage systems for large-scale applications typically use replication for reliability. Recently, erasure codes were used to reduce the large storage overhead, while increasing data reliability. A main limitation of…

Information Theory · Computer Science 2014-05-06 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

In this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as…

Cryptography and Security · Computer Science 2015-02-05 Xuan Guang , Jiyong Lu , Fang-Wei Fu

We consider a set up where a file of size M is stored in n distributed storage nodes, using an (n,k) minimum storage regenerating (MSR) code, i.e., a maximum distance separable (MDS) code that also allows efficient exact-repair of any…

Information Theory · Computer Science 2010-04-27 Viveck R. Cadambe , Syed A. Jafar , Hamed Maleki

Erasure codes are an efficient means of storing data across a network in comparison to data replication, as they tend to reduce the amount of data stored in the network and offer increased resilience in the presence of node failures. The…

Information Theory · Computer Science 2016-11-17 K. V. Rashmi , Nihar B. Shah , P. Vijay Kumar

Erasure coding techniques are used to increase the reliability of distributed storage systems while minimizing storage overhead. Also of interest is minimization of the bandwidth required to repair the system following a node failure. In a…

Information Theory · Computer Science 2009-10-06 K. V. Rashmi , Nihar B. Shah , P. Vijay Kumar , Kannan Ramchandran

We give a complete determination of the exact optimal worst-case repair bandwidth and repair I/O for linear exact repair of $(n,n-2,2)$ MDS array codes over every finite field $\mathbb{F}_q$ and for every admissible code length $3\le n\le…

Information Theory · Computer Science 2026-05-12 Huawei Wu

Regenerating codes are a class of recently developed codes for distributed storage that, like Reed-Solomon codes, permit data recovery from any subset of k nodes within the n-node network. However, regenerating codes possess in addition,…

Information Theory · Computer Science 2015-03-17 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

In this paper, we discuss codes for distributed storage systems with hierarchical repair properties. Specifically, we devote attention to the repair problem of the rack-aware storage model with locality, aiming to enhance the system's…

Information Theory · Computer Science 2024-01-30 Yumeng Yang , Han Cai , Xiaohu Tang

Piggybacking design has been widely applied in distributed storage systems since it can greatly reduce the repair bandwidth with small sub-packetization. Compared with other existing erasure codes, piggybacking is more convenient to operate…

Information Theory · Computer Science 2022-09-01 Ke Wang , Zhifang Zhang

Erasure coding techniques are getting integrated in networked distributed storage systems as a way to provide fault-tolerance at the cost of less storage overhead than traditional replication. Redundancy is maintained over time through…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-12 Lluis Pamies-Juarez , Frédérique Oggier , Anwitaman Datta

Regenerating codes enable trading off repair bandwidth for storage in distributed storage systems (DSS). Due to their distributed nature, these systems are intrinsically susceptible to attacks, and they may also be subject to multiple…

Information Theory · Computer Science 2014-07-10 O. Ozan Koyluoglu , Ankit Singh Rawat , 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

In distributed storage, erasure codes -- like Reed-Solomon Codes -- are often employed to provide reliability. In this setting, it is desirable to be able to repair one or more failed nodes while minimizing the repair bandwidth. In this…

Information Theory · Computer Science 2018-04-20 Jay Mardia , Burak Bartan , Mary Wootters

In this paper, we consider heterogeneous distributed storage systems (DSSs) having flexible reconstruction degree, where each node in the system has dynamic repair bandwidth and dynamic storage capacity. In particular, a data collector can…

Information Theory · Computer Science 2015-03-10 Krishna Gopal Benerjee , Manish K. Gupta

Erasure codes provide a storage efficient alternative to replication based redundancy in (networked) storage systems. They however entail high communication overhead for maintenance, when some of the encoded fragments are lost and need to…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-24 Frederique Oggier , Anwitaman Datta