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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

This article investigates the security issue caused by false data injection attacks in distributed estimation, wherein each sensor can construct two types of residues based on local estimates and neighbor information, respectively. The…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Jiahao Huang , Marios M. Polycarpou , Wen Yang , Fangfei Li , Yang Tang

Distributed storage systems that deploy erasure codes can provide better features such as lower storage overhead and higher data reliability. In this paper, we focus on fractional repetition (FR) codes, which are a class of storage codes…

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

A new class of exact-repair regenerating codes is constructed by stitching together shorter erasure correction codes, where the stitching pattern can be viewed as block designs. The proposed codes have the "help-by-transfer" property where…

Information Theory · Computer Science 2017-08-04 Chao Tian , Birenjith Sasidharan , Vaneet Aggarwal , Vinay A. Vaishampayan , P. Vijay Kumar

This paper studies the fundamental problem of data persistency for a general family of redundancy schemes in distributed storage systems, called replicated erasure codes. Namely, we analyze two strategies of replicated erasure codes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Roy Friedman , Rafał Kapelko , Karol Marchwicki

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

A new system model reflecting the clustered structure of distributed storage is suggested to investigate bandwidth requirements for repairing failed storage nodes. Large data centers with multiple racks/disks or local networks of storage…

Information Theory · Computer Science 2017-02-14 Jy-yong Sohn , Beongjun Choi , Sung Whan Yoon , Jaekyun Moon

There are multiple performance metrics in the design of coding schemes for distributed storage systems. The first metric is called repair bandwidth, which measures the network resources required during the repair process. Another critical…

Information Theory · Computer Science 2026-01-15 Minhan Gao , Kenneth Shum

This work investigates a system where each user aims to retrieve a scalar linear function of the files of a library, which are Maximum Distance Separable coded and stored at multiple distributed servers. The system needs to guarantee robust…

Information Theory · Computer Science 2021-08-24 Qifa Yan , Daniela Tuninetti

MDS (maximum distance separable) array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with r redundancy nodes can correct any r erasures by accessing (reading)…

Information Theory · Computer Science 2011-07-11 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

Due to individual unreliable commodity components, failures are common in large-scale distributed storage systems. Erasure codes are widely deployed in practical storage systems to provide fault tolerance with low storage overhead. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-15 Liangliang Xu , Min Lyu , Zhipeng Li , Yongkun Li , Yinlong Xu

We consider the problem of distributing a file in a network of storage nodes whose storage budget is limited but at least equals to the size file. We first generate $T$ encoded symbols (from the file) which are then distributed among the…

Information Theory · Computer Science 2010-05-31 Mohsen Sardari , Ricardo Restrepo , Faramarz Fekri , Emina Soljanin

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

One of the design objectives in distributed storage system is the minimization of the data traffic during the repair of failed storage nodes. By repairing multiple failures simultaneously and cooperatively, further reduction of repair…

Information Theory · Computer Science 2015-03-20 Kenneth W. Shum , Yuchong Hu

We consider the problem of constructing an erasure code for storage over a network when the data sources are distributed. Specifically, we assume that there are n storage nodes with limited memory and k<n sources generating the data. We…

Information Theory · Computer Science 2016-11-15 Alexandros G. Dimakis , Vinod Prabhakaran , Kannan Ramchandran

Reed-Solomon codes have found many applications in practical storage systems, but were until recently considered unsuitable for distributed storage applications due to the widely-held belief that they have poor repair bandwidth. The work of…

Information Theory · Computer Science 2017-05-16 Hoang Dau , Olgica Milenkovic

In wireless distributed storage systems, storage nodes are connected by wireless channels, which are broadcast in nature. This paper exploits this unique feature to design an efficient repair mechanism, called broadcast repair, for wireless…

Information Theory · Computer Science 2017-07-10 Ping Hu , Chi Wan Sung , Terence H. Chan

Peer-to-peer distributed storage systems provide reliable access to data through redundancy spread over nodes across the Internet. A key goal is to minimize the amount of bandwidth used to maintain that redundancy. Storing a file using an…

Information Theory · Computer Science 2007-07-13 Alexandros G. Dimakis , P. Brighten Godfrey , Martin J. Wainwright , Kannan Ramchandran

We consider {\it i)} the overhead minimization of maximum-distance separable (MDS) storage codes for the repair of a single failed node and {\it ii)} the total secure degrees-of-freedom (S-DoF) maximization in a multiple-access compound…

Information Theory · Computer Science 2015-03-17 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Modern distributed storage systems offer large capacity to satisfy the exponentially increasing need of storage space. They often use erasure codes to protect against disk and node failures to increase reliability, while trying to meet the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 Yu Xiang , Tian Lan , Vaneet Aggarwal , Yih-Farn R Chen
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