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Related papers: Cooperative Local Repair in Distributed Storage

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Locally repairable codes (LRCs) have received significant recent attention as a method of designing data storage systems robust to server failure. Optimal LRCs offer the ideal trade-off between minimum distance and locality, a measure of…

Information Theory · Computer Science 2024-02-07 Allison Beemer , Ryan Coatney , Venkatesan Guruswami , Hiram H. López , Fernando Piñero

Locally repairable codes (LRCs) are error correcting codes used in distributed data storage. Besides a global level, they enable errors to be corrected locally, reducing the need for communication between storage nodes. There is a close…

Information Theory · Computer Science 2016-05-24 Antti Pöllänen , Thomas Westerbäck , Ragnar Freij-Hollanti , Camilla Hollanti

Locally Repairable Codes (LRC's) based on generalised quadrangles were introduced by Pamies-Juarez, Hollmann and Oggier in \cite{PaHoOg2013}, and bounds on the repairability and availability were derived. In this paper, we determine the…

Combinatorics · Mathematics 2019-12-16 Michel Lavrauw , Geertrui Van de Voorde

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

In distributed storage systems that employ erasure coding, the issue of minimizing the total {\it communication} required to exactly rebuild a storage node after a failure arises. This repair bandwidth depends on the structure of the…

Information Theory · Computer Science 2011-06-09 Dimitris S. Papailiopoulos , Alexandros G. Dimakis , Viveck R. Cadambe

For a systematic erasure code, update complexity (UC) is defined as the maximum number of parity blocks needed to be changed when some information blocks are updated. Locally repairable codes (LRCs) have been recently proposed and used in…

Information Theory · Computer Science 2016-07-18 Mehrtash Mehrabi , Mostafa Shahabinejad , Masoud Ardakani , Majid Khabbazian

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 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 we study codes for correcting deletable errors in binary words, where each bit is either retained, substituted, erased or deleted and the total number of errors is much smaller compared to the length of the codeword. We…

Information Theory · Computer Science 2021-03-02 Ghurumuruhan Ganesan

We consider regenerating codes in distributed storage systems where connections between the nodes are constrained by a graph. In this problem, the failed node downloads the information stored at a subset of vertices of the graph for the…

Information Theory · Computer Science 2025-06-11 Adway Patra , Alexander Barg

Locally recoverable codes deal with the task of reconstructing a lost symbol by relying on a portion of the remaining coordinates smaller than an information set. We consider the case of codes over finite chain rings, generalizing known…

Information Theory · Computer Science 2024-01-11 Giulia Cavicchioni , Eleonora Guerrini , Alessio Meneghetti

We introduce a family of balanced locally repairable codes (BLRCs) $[n, k, d]$ for arbitrary values of $n$, $k$ and $d$. Similar to other locally repairable codes (LRCs), the presented codes are suitable for applications that require a low…

Information Theory · Computer Science 2020-02-14 Katina Kralevska , Danilo Gligoroski , Harald Øverby

Locally repairable codes have become a key instrument in large-scale distributed storage systems. This paper focuses on the construction of locally repairable codes with $(r,\delta)$-locality that achieve the equality in the Singleton-type…

Information Theory · Computer Science 2021-09-29 Gaojun Luo , Martianus Frederic Ezerman , San Ling

Error-correcting codes that admit local decoding and correcting algorithms have been the focus of much recent research due to their numerous theoretical and practical applications. An important goal is to obtain the best possible tradeoffs…

Data Structures and Algorithms · Computer Science 2018-09-19 Jeremiah Blocki , Venkata Gandikota , Elena Grigorescu , Samson Zhou

The reliability of erasure-coded distributed storage systems, as measured by the mean time to data loss (MTTDL), depends on the repair bandwidth of the code. Repair-efficient codes provide reliability values several orders of magnitude…

Information Theory · Computer Science 2017-08-04 Vaneet Aggarwal , Chao Tian , Vinay A. Vaishampayan , Yih-Farn R. Chen

Distributed storage systems for large clusters typically use replication to provide reliability. Recently, erasure codes have been used to reduce the large storage overhead of three-replicated systems. Reed-Solomon codes are the standard…

As an important coding scheme in modern distributed storage systems, locally repairable codes (LRCs) have attracted a lot of attentions from perspectives of both practical applications and theoretical research. As a major topic in the…

Information Theory · Computer Science 2021-01-01 Xiangliang Kong , Xin Wang , Gennnian Ge

In a distributed storage system based on erasure coding, an important problem is the \emph{repair problem}: If a node storing a coded piece fails, in order to maintain the same level of reliability, we need to create a new encoded piece and…

Information Theory · Computer Science 2016-11-17 Yunnan Wu

Erasure codes have emerged as an efficient technology for providing data redundancy in distributed storage systems. However, it is a challenging task to repair the failed storage nodes in erasure-coded storage systems, which requires large…

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

Erasure codes play an important role in storage systems to prevent data loss. In this work, we study a class of erasure codes called Multi-Erasure Locally Recoverable Codes (ME-LRCs) for storage arrays. Compared to previous related works,…

Information Theory · Computer Science 2017-09-29 Pengfei Huang , Eitan Yaakobi , Paul H. Siegel