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Minimum storage regenerating (MSR) codes are MDS codes which allow for recovery of any single erased symbol with optimal repair bandwidth, based on the smallest possible fraction of the contents downloaded from each of the other symbols.…

Data Structures and Algorithms · Computer Science 2019-07-10 Venkatesan Guruswami , Haotian Jiang

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

We present the construction of a family of erasure correcting codes for distributed storage that achieve low repair bandwidth and complexity at the expense of a lower fault tolerance. The construction is based on two classes of codes, where…

Information Theory · Computer Science 2018-09-03 Siddhartha Kumar , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström , Eirik Rosnes

A key design goal of erasure-coded clusters is to reduce the repair time. The existing Erasure-coded data repair schemes are roughly classified into two categories: 1. Designing rapid data repair (e.g., PPR) in a homogeneous environment. 2.…

Networking and Internet Architecture · Computer Science 2021-04-12 Hai Zhou , Dan Feng , Yuchong Hu

Centralized repair refers to repairing $h\geq 2$ node failures using $d$ helper nodes in a centralized way, where the repair bandwidth is counted by the total amount of data downloaded from the helper nodes. A centralized MSR code is an MDS…

Information Theory · Computer Science 2024-02-06 Yaqian Zhang

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

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

Distributed storage plays a crucial role in the current cloud computing framework. After the theoretical bound for distributed storage was derived by the pioneer work of the regenerating code, Reed-Solomon code based regenerating codes were…

Cryptography and Security · Computer Science 2015-10-06 Jian Li , Tongtong Li , Jian Ren

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…

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

In this paper we study distributed storage systems with exact repair. We give a construction for regenerating codes between the minimum storage regenerating (MSR) and the minimum bandwidth regenerating (MBR) points and show that in the case…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-08 Toni Ernvall

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

In this paper distributed storage systems with exact repair are studied. A construction for regenerating codes between the minimum storage regenerating (MSR) and the minimum bandwidth regenerating (MBR) points is given. To the best of…

Information Theory · Computer Science 2015-01-21 Toni Ernvall

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

Industrial anomaly detection is a challenging open-set task that aims to identify unknown anomalous patterns deviating from normal data distribution. To avoid the significant memory consumption and limited generalizability brought by…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Qishan Wang , Haofeng Wang , Shuyong Gao , Jia Guo , Li Xiong , Jiaqi Li , Dengxuan Bai , Wenqiang Zhang

MDS 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 $r$ node erasures by accessing all the remaining information…

Information Theory · Computer Science 2016-03-04 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

Cooperative repair model is an available technology to deal with multiple node failures in distributed storage systems. Recently, explicit constructions of cooperative MSR codes were given by Ye (IEEE Transactions on Information Theory,…

Information Theory · Computer Science 2022-01-19 Yajuan Liu , Han Cai , Xiaohu Tang

We prove that a class of distance-optimal local reconstruction codes (LRCs), an important family of repair-efficient codes for distributed storage systems, achieve the maximum distance separable private information retrieval capacity for…

Information Theory · Computer Science 2018-09-19 Siddhartha Kumar , Hsuan-Yin Lin , Eirik Rosnes , Alexandre Graell i Amat

We explore connections between secret sharing and secret key agreement, which yield a simple and scalable multiterminal key agreement protocol. In our construction, we use error-correcting codes, specifically Reed-Solomon codes with…

Information Theory · Computer Science 2025-12-23 Benjamin D. Kim , Daniel Alabi , Lav R. Varshney

Multi-message private information retrieval (MPIR) is an interesting variation of PIR which allows a user to download multiple messages from the database without revealing the identity of the desired messages. Obviously, the user can…

Information Theory · Computer Science 2018-08-08 Chatdanai Dorkson , Siaw-Lynn Ng