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Erasure coding techniques are getting integrated in networked distributed storage systems as a way to provide fault-tolerance at the cost of less storage overhead than traditional replication. Redundancy is maintained over time through…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-12 Lluis Pamies-Juarez , Frédérique Oggier , Anwitaman Datta

Local Reconstruction Codes (LRCs) allow for recovery from a small number of erasures in a local manner based on just a few other codeword symbols. A maximally recoverable (MR) LRC offers the best possible blend of such local and global…

Information Theory · Computer Science 2018-08-15 Venkatesan Guruswami , Lingfei Jin , Chaoping Xing

In this work, we introduce maximally recoverable codes with locality and availability. We consider locally repairable codes (LRCs) where certain subsets of $ t $ symbols belong each to $ N $ local repair sets, which are pairwise disjoint…

Information Theory · Computer Science 2026-05-18 Umberto Martínez-Peñas , V. Lalitha

$\epsilon$-Minimum Storage Regenerating ($\epsilon$-MSR) codes form a special class of Maximum Distance Separable (MDS) codes, providing mechanisms for exact regeneration of a single code block in their codewords by downloading slighly…

Information Theory · Computer Science 2018-07-04 Venkatesan Guruswami , Satyanarayana V. Lokam , Sai Vikneshwar Mani Jayaraman

Repairing locality is an appreciated feature for distributed storage, in which a damaged or lost data share can be repaired by accessing a subset of other shares much smaller than is required for decoding the complete data. However for…

Cryptography and Security · Computer Science 2017-09-19 Yue Fu , Shuhao Sun , Dagang Li , Peng Liu

In this paper, we study vector codes with all-symbol locality, where the local code is either a Minimum Bandwidth Regenerating (MBR) code or a Minimum Storage Regenerating (MSR) code. In the first part, we present vector codes with…

Information Theory · Computer Science 2018-04-03 M. Nikhil Krishnan , Anantha Narayanan R. , P. Vijay Kumar

We introduce a new class of exact Minimum-Bandwidth Regenerating (MBR) codes for distributed storage systems, characterized by a low-complexity uncoded repair process that can tolerate multiple node failures. These codes consist of the…

Information Theory · Computer Science 2010-10-14 Salim El Rouayheb , Kannan Ramchandran

This paper develops a new family of locally recoverable codes for distributed storage systems, Sequential Locally Recoverable Codes (SLRCs) constructed to handle multiple erasures in a sequential recovery approach. We propose a new…

Information Theory · Computer Science 2025-03-05 Akram Baghban , Mehdi Ghiyasvand

In a distributed storage systems (DSS) with $k$ systematic nodes, robustness against node failure is commonly provided by storing redundancy in a number of other nodes and performing repair mechanism to reproduce the content of the failed…

Information Theory · Computer Science 2018-01-01 Kaveh Mahdaviani , Soheil Mohajer , Ashish Khisti

In a distributed storage system, recovering from multiple failures is a critical and frequent task that is crucial for maintaining the system's reliability and fault-tolerance. In this work, we focus on the problem of repairing multiple…

Information Theory · Computer Science 2018-05-09 Marwen Zorgui , Zhiying Wang

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

In distributed storage systems, locally repairable codes (LRCs) are designed to reduce disk I/O and repair costs by enabling recovery of each code symbol from a small number of other symbols. To handle multiple node failures,…

Information Theory · Computer Science 2023-07-11 Jing Qiu , Fang-Wei Fu

Maximum distance separable (MDS) codes have the optimal trade-off between storage efficiency and fault tolerance, which are widely used in distributed storage systems. As typical non-MDS codes, simple regenerating codes (SRCs) can achieve…

Information Theory · Computer Science 2023-09-06 Zhengyi Jiang , Hao Shi , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

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

This paper considers capacity-achieving coding for the clustered form of distributed storage that reflects practical storage networks. To reflect the clustered structure with limited cross-cluster communication bandwidths, nodes in the same…

Information Theory · Computer Science 2019-08-05 Jy-yong Sohn , Beongjun Choi , Jaekyun Moon

A novel technique for construction of minimum storage regenerating (MSR) codes is presented. Based on this technique, three explicit constructions of MSR codes are given. The first two constructions provide access-optimal MSR codes, with…

Information Theory · Computer Science 2016-01-29 Netanel Raviv , Natalia Silberstein , Tuvi Etzion

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

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 present simple constructions of optimal erasure-correcting LRC codes by exhibiting their parity-check matrices. When the number of local parities in a parity group plus the number of global parities is smaller than the size of the parity…

Information Theory · Computer Science 2015-12-22 Mario Blaum

Considerable interest has been paid in recent literature to codes combining local and global properties for erasure correction. Applications are in cloud type of implementations, in which fast recovery of a failed storage device is…

Information Theory · Computer Science 2016-02-09 Mario Blaum , Steven R. Hetzler
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