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Locally repairable codes are desirable for distributed storage systems to improve the repair efficiency. In this paper, we first build a bridge between locally repairable code and packing. As an application of this bridge, some optimal…

Information Theory · Computer Science 2016-07-07 Han Cai , Minquan Cheng , Cuiling Fan , Xiaohu Tang

This chapter deals with the topic of designing reliable and efficient codes for the storage and retrieval of large quantities of data over storage devices that are prone to failure. For long, the traditional objective has been one of…

Information Theory · Computer Science 2020-10-06 Vinayak Ramkumar , Myna Vajha , S. B. Balaji , M. Nikhil Krishnan , Birenjith Sasidharan , P. Vijay Kumar

Erasure codes are an integral part of many distributed storage systems aimed at Big Data, since they provide high fault-tolerance for low overheads. However, traditional erasure codes are inefficient on reading stored data in degraded…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-27 Kyumars Sheykh Esmaili , Lluis Pamies-Juarez , Anwitaman Datta

We consider the use of distributed storage (DS) to reduce the communication cost of content delivery in wireless networks. Content is stored (cached) in a number of mobile devices using an erasure correcting code. Users retrieve content…

Information Theory · Computer Science 2016-09-28 Jesper Pedersen , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the…

Information Theory · Computer Science 2013-01-14 Yunghsiang S. Han , Hong-Ta Pai , Rong Zheng , Pramod K. Varshney

Minimum storage regenerating (MSR) codes, with the MDS property and the optimal repair bandwidth, are widely used in distributed storage systems (DSS) for data recovery. In this paper, we consider the construction of $(n,k,l)$ MSR codes in…

Information Theory · Computer Science 2023-09-28 Shenghua Li , Maximilien Gadouleau , Jiaojiao Wang , Dabin Zheng

We study the exact and optimal repair of multiple failures in codes for distributed storage. More particularly, we examine the use of interference alignment to build exact scalar minimum storage coordinated regenerating codes (MSCR). We…

Information Theory · Computer Science 2012-02-03 Nicolas Le Scouarnec

Large-scale distributed storage systems typically use erasure codes to provide durability of data in the face of failures. A set of $k$ blocks to be stored is encoded using an $[n, k]$ code to generate $n$ blocks that are then stored on…

Information Theory · Computer Science 2019-07-31 Francisco Maturana , K. V. Rashmi

The problem of exact repair of a failed node in multi-hop networked distributed storage systems is considered. Contrary to the most of the current studies which model the repair process by the direct links from surviving nodes to the new…

Information Theory · Computer Science 2014-01-14 Majid Gerami , Ming Xiao

In distributed storage systems, locally repairable codes (LRCs) are introduced to realize low disk I/O and repair cost. In order to tolerate multiple node failures, the LRCs with \emph{$(r, \delta)$-locality} are further proposed. Since hot…

Information Theory · Computer Science 2017-05-03 Bin Chen , Shu-Tao Xia , Jie Hao

In this paper, we introduce a model of a distributed storage system that is locally recoverable from any single server failure. Unlike the usual local recovery model of codes for distributed storage, this model accounts for the fact that…

Information Theory · Computer Science 2020-07-01 Arya Mazumdar

Node failures are inevitable in distributed storage systems (DSS). To enable efficient repair when faced with such failures, two main techniques are known: Regenerating codes, i.e., codes that minimize the total repair bandwidth; and codes…

In large scale distributed storage systems (DSS) deployed in cloud computing, correlated failures resulting in simultaneous failure (or, unavailability) of blocks of nodes are common. In such scenarios, the stored data or a content of a…

Information Theory · Computer Science 2017-02-22 Gokhan Calis , O. Ozan Koyluoglu

Despite their exceptional error-correcting properties, Reed-Solomon (RS) codes have been overlooked in distributed storage applications due to the common belief that they have poor repair bandwidth: A naive repair approach would require the…

Information Theory · Computer Science 2017-05-16 Hoang Dau , Iwan Duursma , Han Mao Kiah , Olgica Milenkovic

We consider the problem of designing [n; k] linear codes for distributed storage systems (DSS) that satisfy the (r, t)-Local Repair Property, where any t'(<=t) simultaneously failed nodes can be locally repaired, each with locality r. The…

Information Theory · Computer Science 2015-07-30 Wentu Song , Chau Yuen

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 consider the rack-aware storage system where \(n\) nodes are organized in \(\bar{n}\) racks each containing \(u\) nodes, and any \(k\) nodes can retrieve the stored file. Moreover, any single node erasure can be recovered by downloading…

Information Theory · Computer Science 2021-01-22 Zhifang Zhang , Liyang Zhou

We propose locally rewritable codes (LWC) for resistive memories inspired by locally repairable codes (LRC) for distributed storage systems. Small values of repair locality of LRC enable fast repair of a single failed node since the lost…

We consider the problem of synchronizing data in distributed storage networks under an edit model that includes deletions and insertions. We present two modifications of MDS, regenerating and locally repairable codes that allow updates in…

Information Theory · Computer Science 2014-09-05 Salim El Rouayheb , Sreechakra Goparaju , Han Mao Kiah , Olgica Milenkovic

We study the problem of erasure correction (node repair) for regenerating codes defined on graphs wherein the cost of transmitting the information to the failed node depends on the graphical distance from this node to the helper vertices of…

Information Theory · Computer Science 2022-01-19 Adway Patra , Alexander Barg