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We present a new 'piggybacking' framework for designing distributed storage codes that are efficient in data-read and download required during node-repair. We illustrate the power of this framework by constructing classes of explicit codes…

Information Theory · Computer Science 2013-02-26 K. V. Rashmi , Nihar B. Shah , Kannan Ramchandran

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 2016-11-15 Imad Ahmad , Chih-Chun Wang

In distributed storage systems, erasure codes with locality $r$ is preferred because a coordinate can be recovered by accessing at most $r$ other coordinates which in turn greatly reduces the disk I/O complexity for small $r$. However, the…

Information Theory · Computer Science 2014-10-20 Anyu Wang , Zhifang Zhang

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

We study a generalization of the setting of regenerating codes, motivated by applications to storage systems consisting of clusters of storage nodes. There are $n$ clusters in total, with $m$ nodes per cluster. A data file is coded and…

Information Theory · Computer Science 2018-08-07 N. Prakash , Vitaly Abdrashitov , Muriel Medard

In this paper, we study distributed storage problems over unidirectional ring networks. A lower bound on the reconstructing bandwidth to recover total original data for each user is proposed, and it is achievable for arbitrary parameters.…

Information Theory · Computer Science 2014-01-22 Jiyong Lu , Xuan Guang , Fang-Wei Fu

We consider the problem of efficient recovery of the data stored in any individual node of a distributed storage system, from the rest of the nodes. Applications include handling failures and degraded reads. We measure efficiency in terms…

Information Theory · Computer Science 2016-11-15 Nihar B. Shah

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

In the modern era of large-scale computing systems, a crucial use of error correcting codes is to judiciously introduce redundancy to ensure recoverability from failure. To get the most out of every byte, practitioners and theorists have…

Information Theory · Computer Science 2026-02-26 Joshua Brakensiek , Venkatesan Guruswami

Maximum distance separable (MDS) array codes constitute an important class of error-correcting codes due to their optimal distance properties and their relevance in distributed storage systems. In this paper, we investigate the construction…

In the literature, all the known high-rate MDS codes with the optimal repair bandwidth possess a significantly large sub-packetization level, which may prevent the codes to be implemented in practical systems. To build MDS codes with small…

Information Theory · Computer Science 2020-11-24 Jie Li , Yi Liu , Xiaohu Tang

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

As a special class of array codes, $(n,k,m)$ piggybacking codes are MDS codes (i.e., any $k$ out of $n$ nodes can retrieve all data symbols) that can achieve low repair bandwidth for single-node failure with low sub-packetization $m$. In…

Information Theory · Computer Science 2022-09-21 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Hanxu Hou

Consider the following fundamental question of distributed storage networks: Given any arbitrary $(n,k,d)$ values, whether there exists an intelligent helper selection scheme (assuming unlimited memory and computing power) that can strictly…

Information Theory · Computer Science 2018-08-28 Imad Ahmad , Chih-Chun Wang

Locally repairable convolutional codes (LRCCs) for distributed storage systems (DSSs) are introduced in this work. They enable local repair, for a single node erasure (or more generally, $ \partial - 1 $ erasures per local group), and…

Information Theory · Computer Science 2020-12-08 Umberto Martínez-Peñas , Diego Napp

Regenerating codes based on the approach of interference alignment for wireless interference channel achieve the cut-set bound for distributed storage systems. These codes provide data reliability, and perform efficient exact node repair…

Information Theory · Computer Science 2018-01-08 Natasa Paunkoska , Ninoslav Marina , Venceslav Kafedziski

Distributed storage systems support failures of individual devices by the use of replication or erasure correcting codes. While erasure correcting codes offer a better storage efficiency than replication for similar fault tolerance, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-10 Nicolas Le Scouarnec

Motivated by the application of Reed-Solomon codes to recently emerging decentralized storage systems such as Storj and Filebase/Sia, we study the problem of designing compact repair groups for recovering multiple failures in a…

Information Theory · Computer Science 2023-05-12 Thi Xinh Dinh , Serdar Boztas , Son Hoang Dau , Emanuele Viterbo

We investigate the problem of maintaining an encoded distributed storage system when some nodes contain adversarial errors. Using the error-correction capabilities that are built into the existing redundancy of the system, we propose a…

Cryptography and Security · Computer Science 2015-03-17 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho

An $(n, k, d, \alpha, \beta, M)$-ERRC (exact-repair regenerating code) is a collection of $n$ nodes used to store a file. For a file of total size $M$, each node stores $\alpha$ symbols, any $k$ nodes recover the file, and any $d$ nodes…

Information Theory · Computer Science 2022-01-07 Iwan Duursma , Xiao Li , Hsin-Po Wang
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