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In distributed storage, erasure codes -- like Reed-Solomon Codes -- are often employed to provide reliability. In this setting, it is desirable to be able to repair one or more failed nodes while minimizing the repair bandwidth. In this…

Information Theory · Computer Science 2018-04-20 Jay Mardia , Burak Bartan , Mary Wootters

The newly presented $(k+2,k)$ Hadamard minimum storage regenerating (MSR) code is the first class of high rate storage code with optimal repair property for all single node failures. In this paper, we propose a new simple repair strategy,…

Information Theory · Computer Science 2013-12-19 Xiaohu Tang , Bin Yang , Jie Li

This paper presents a construction for high-rate MDS codes that enable bandwidth-efficient repair of a single node. Such MDS codes are also referred to as the minimum storage regenerating (MSR) codes in the distributed storage literature.…

Information Theory · Computer Science 2016-01-26 Ankit Singh Rawat , O. Ozan Koyluoglu , Sriram Vishwanath

Maximum distance separable (MDS) codes are widely used in distributed storage systems as they provide optimal fault tolerance for a given amount of storage overhead. The seminal work of Dimakis~\emph{et al.} first established a lower bound…

Information Theory · Computer Science 2026-03-24 Zihao Zhang , Guodong Li , Sihuang Hu

In distributed storage systems, cooperative regenerating codes tradeoff storage for repair bandwidth in the case of multiple node failures. In rack-aware distributed storage systems, there is no cost associated with transferring symbols…

Information Theory · Computer Science 2021-02-25 Shreya Gupta , V. Lalitha

Erasure coding is widely used for massive storage in data centers to achieve high fault tolerance and low storage redundancy. Since the cross-rack communication cost is often high, it is critical to design erasure codes that minimize the…

Information Theory · Computer Science 2019-02-26 Hanxu Hou , Patrick P. C. Lee , Kenneth W. Shum , Yuchong Hu

The high repair cost of (n,k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of codes, called Regenerating Codes, that optimally trade off storage cost for repair bandwidth. On one end of this spectrum of…

Information Theory · Computer Science 2010-04-19 Changho Suh , Kannan Ramchandran

Minimum-Storage Regenerating (MSR) codes have emerged as a viable alternative to Reed-Solomon (RS) codes as they minimize the repair bandwidth while they are still optimal in terms of reliability and storage overhead. Although several MSR…

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

The repair bandwidth of a code is the minimum amount of data required to repair one or several failed nodes (erasures). For MDS codes, the repair bandwidth is bounded below by the so-called cut-set bound, and codes that meet this bound with…

Information Theory · Computer Science 2017-10-20 Min Ye , Alexander Barg

Regenerating codes are efficient methods for distributed storage in storage networks, where node failures are common. They guarantee low cost data reconstruction and repair through accessing only a predefined number of arbitrarily chosen…

Information Theory · Computer Science 2017-11-09 Kaveh Mahdaviani , Ashish Khisti , Soheil Mohajer

Recently Reed-Solomon (RS) codes were shown to possess a repair scheme that supports repair of failed nodes with optimal repair bandwidth. In this paper, we extend this result in two directions. First, we propose a new repair scheme for the…

Information Theory · Computer Science 2020-01-22 Zitan Chen , Min Ye , Alexander Barg

Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the…

Information Theory · Computer Science 2014-06-26 Yunghsiang Han , Hung-Ta Pai , Rong Zheng , Pramod K. Varshney

In this paper, we address the node repair problem of Reed-Solomon (RS) coded distributed storage systems. Specifically, to overcome the challenges of multiple-node failures of RS codes under the rack-aware storage model, we employ good…

Information Theory · Computer Science 2024-05-28 Yumeng Yang , Han Cai , Xiaohu Tang

This paper investigates the use of redundancy and self repairing against node failures in distributed storage systems, using various strategies. In replication method, access to one replication node is sufficient to reconstruct a lost node,…

Information Theory · Computer Science 2011-10-03 Abbas Kiani , Soroush Akhlaghi

Clustered distributed storage models real data centers where intra- and cross-cluster repair bandwidths are different. In this paper, exact-repair minimum-storage-regenerating (MSR) codes achieving capacity of clustered distributed storage…

Information Theory · Computer Science 2018-01-09 Jy-yong Sohn , Beongjun Choi , Jaekyun Moon

Regenerating codes are a class of recently developed codes for distributed storage that, like Reed-Solomon codes, permit data recovery from any arbitrary k of n nodes. However regenerating codes possess in addition, the ability to repair a…

Information Theory · Computer Science 2015-03-17 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

$\epsilon$-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

High-rate minimum storage regenerating (MSR) codes are known to require a large sub-packetization level, which can make meta-data management difficult and hinder implementation in practical systems. A few maximum distance separable (MDS)…

Information Theory · Computer Science 2023-08-29 Jie Li , Yi Liu , Xiaohu Tang , Yunghsiang S. Han , Bo Bai , Gong Zhang

The repair problem in distributed storage addresses recovery of the data encoded using an erasure code, for instance, a Reed-Solomon (RS) code. We consider the problem of repairing a single node or multiple nodes in RS-coded storage systems…

Information Theory · Computer Science 2018-05-07 Itzhak Tamo , Min Ye , Alexander Barg

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