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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

We consider a set up where a file of size M is stored in n distributed storage nodes, using an (n,k) minimum storage regenerating (MSR) code, i.e., a maximum distance separable (MDS) code that also allows efficient exact-repair of any…

Information Theory · Computer Science 2010-04-27 Viveck R. Cadambe , Syed A. Jafar , Hamed Maleki

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

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

Information Theory · Computer Science 2011-06-10 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Regenerating codes for distributed storage have attracted much research interest in the past decade. Such codes trade the bandwidth needed to repair a failed node with the overall amount of data stored in the network. Minimum storage…

Information Theory · Computer Science 2016-02-16 Sreechakra Goparaju , Arman Fazeli , Alexander Vardy

We continue our study of 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…

Information Theory · Computer Science 2022-11-03 Adway Patra , Alexander Barg

Despite their exceptional error-correcting properties, Reed-Solomon (RS) codes have been overlooked in distributed storage applications due to the common belief that they have poor repair bandwidth: A naive repair approach would require the…

Information Theory · Computer Science 2017-05-16 Hoang Dau , Iwan Duursma , Han Mao Kiah , Olgica Milenkovic

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

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

A novel coding scheme for exact repair-regenerating codes is presented in this paper. The codes proposed in this work can trade between the repair bandwidth of nodes (number of downloaded symbols from each surviving node in a repair…

Information Theory · Computer Science 2021-01-05 Mehran Elyasi , Soheil Mohajer

We study the problem of centralized exact repair of multiple failures in distributed storage. We describe constructions that achieve a new set of interior points under exact repair. The constructions build upon the layered code construction…

Information Theory · Computer Science 2018-02-02 Marwen Zorgui , Zhiying Wang

Digital contents in large scale distributed storage systems may have different reliability and access delay requirements, and for this reason, erasure codes with different strengths need to be utilized to achieve the best storage…

Information Theory · Computer Science 2016-04-29 Chao Tian , Tie Liu

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 this paper, we discuss codes for distributed storage systems with hierarchical repair properties. Specifically, we devote attention to the repair problem of the rack-aware storage model with locality, aiming to enhance the system's…

Information Theory · Computer Science 2024-01-30 Yumeng Yang , Han Cai , Xiaohu Tang

In a modern distributed storage system, storage nodes are organized in racks, and the cross-rack communication dominates the system bandwidth. In We study the rack-aware storage system where all storage nodes are organized in racks and…

Information Theory · Computer Science 2022-07-18 Liyang Zhou , Zhifang Zhang

In coding for distributed storage systems, efficient data reconstruction and repair through accessing a predefined number of arbitrarily chosen storage nodes is guaranteed by regenerating codes. Traditionally, code parameters, specially the…

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

In this paper, we present two constructions of degraded read friendly (DRF) MDS array codes with two parity nodes and a sub-packetization level of 2 over small finite fields, applicable for any arbitrary code length. The first construction…

Information Theory · Computer Science 2025-10-28 Jie Li , Xiaohu Tang

Erasure coding techniques are used to increase the reliability of distributed storage systems while minimizing storage overhead. Also of interest is minimization of the bandwidth required to repair the system following a node failure. In a…

Information Theory · Computer Science 2009-10-06 K. V. Rashmi , Nihar B. Shah , P. Vijay Kumar , Kannan Ramchandran

Data availability is critical in distributed storage systems, especially when node failures are prevalent in real life. A key requirement is to minimize the amount of data transferred among nodes when recovering the lost or unavailable data…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Runhui Li , Jian Lin , Patrick P. C. Lee

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

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