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Distributed storage codes have important applications in the design of modern storage systems. In a distributed storage system, every storage node has a probability to fail and once an individual storage node fails, it must be reconstructed…

Information Theory · Computer Science 2016-10-27 Chong Shangguan , Gennian Ge

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

Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS, the original data are stored into n distributed nodes in…

Information Theory · Computer Science 2017-06-16 Sheng Guan , Haibin Kan , Xin Wang

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

For high-rate maximum distance separable (MDS) codes, most of them are designed to optimally repair a single failed node by connecting all the surviving nodes. However, in practical systems, sometimes not all the surviving nodes are…

Information Theory · Computer Science 2021-07-22 Yi Liu , Jie Li , Xiaohu Tang

Maximum distance separable (MDS) codes are optimal error-correcting codes in the sense that they provide the maximum failure-tolerance for a given number of parity nodes. Suppose that an MDS code with $k$ information nodes and $r=n-k$…

Information Theory · Computer Science 2016-04-11 Min Ye , Alexander Barg

Two widely studied models of multiple-node repair in distributed storage systems are centralized repair and cooperative repair. The centralized model assumes that all the failed nodes are recreated in one location, while the cooperative one…

Information Theory · Computer Science 2018-07-12 Min Ye , Alexander Barg

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

We consider the design of regenerating codes for distributed storage systems that enjoy the property of local, exact and uncoded repair, i.e., (a) upon failure, a node can be regenerated by simply downloading packets from the surviving…

Information Theory · Computer Science 2013-05-27 Oktay Olmez , Aditya Ramamoorthy

In this paper, a new repair scheme for a modified construction of MDS codes is studied. The obtained repair scheme has optimal bandwidth for multiple failed nodes under the cooperative repair model. In addition, the repair scheme has…

Information Theory · Computer Science 2022-01-19 Xing Lin , Han Cai , Xiaohu Tang

We study the data reliability problem for a community of devices forming a mobile cloud storage system. We consider the application of regenerating codes for file maintenance within a geographically-limited area. Such codes require lower…

Networking and Internet Architecture · Computer Science 2017-03-02 Gokhan Calis , Swetha Shivaramaiah , O. Ozan Koyluoglu , Loukas Lazos

Maximum distance separable (MDS) codes facilitate the achievement of elevated levels of fault tolerance in storage systems while incurring minimal redundancy overhead. Reed-Solomon (RS) codes are typical MDS codes with the sub-packetization…

Information Theory · Computer Science 2024-05-07 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

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

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. In this paper, we address…

Information Theory · Computer Science 2010-04-28 Changho Suh , Kannan Ramchandran

We consider the problem of multiple-node repair in distributed storage systems under the cooperative model, where the repair bandwidth includes the amount of data exchanged between any two different storage nodes. Recently, explicit…

Information Theory · Computer Science 2019-12-02 Min Ye

MDS (maximum distance separable) 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 erasures by accessing (reading)…

Information Theory · Computer Science 2011-07-11 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

It is well known that an (n,k) code can be used to store 'k' units of information in 'n' unit-capacity disks of a distributed data storage system. If the code used is maximum distance separable (MDS), then the system can tolerate any (n-k)…

Information Theory · Computer Science 2011-06-08 Viveck R. Cadambe , Cheng Huang , Syed A. Jafar , Jin Li

Partial maximum distance separable (PMDS) codes are a kind of erasure codes where the nodes are divided into multiple groups with each forming an MDS code with a smaller code length, thus they allow repairing a failed node with only a few…

Information Theory · Computer Science 2022-11-15 Jie Li , Xiaohu Tang , Hanxu Hou , Yunghsiang S. Han , Bo Bai , Gong Zhang

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

We consider {\it i)} the overhead minimization of maximum-distance separable (MDS) storage codes for the repair of a single failed node and {\it ii)} the total secure degrees-of-freedom (S-DoF) maximization in a multiple-access compound…

Information Theory · Computer Science 2015-03-17 Dimitris S. Papailiopoulos , Alexandros G. Dimakis
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