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Distributed storage systems are mainly justified due to the limited amount of storage capacity and improving the reliability through distributing data over multiple storage nodes. On the other hand, it may happen the data is stored in…

Information Theory · Computer Science 2010-04-15 Soroush Akhlaghi , Abbas Kiani , Mohammad Reza Ghanavati

In this paper we extend the notion of {\em locally repairable} codes to {\em secret sharing} schemes. The main problem that we consider is to find optimal ways to distribute shares of a secret among a set of storage-nodes (participants)…

Information Theory · Computer Science 2016-08-15 Abhishek Agarwal , Arya Mazumdar

Maximum distance separable (MDS) array codes constitute an important class of error-correcting codes due to their optimal distance properties and their relevance in distributed storage systems. In this paper, we investigate the construction…

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

Distributed storage systems often introduce redundancy to increase reliability. When coding is used, the repair problem arises: if a node storing encoded information fails, in order to maintain the same level of reliability we need to…

Information Theory · Computer Science 2010-04-27 Alexandros G. Dimakis , Kannan Ramchandran , Yunnan Wu , Changho Suh

Heterogeneous Distributed Storage Systems (DSSs) are close to the real world applications for data storage. Each node of the considered DSS, may store different number of packets and each having different repair bandwidth with uniform…

Information Theory · Computer Science 2016-07-22 Krishna Gopal Benerjee , Manish K. Gupta

MDS array codes are widely used in storage systems to protect data against erasures. We address the \emph{rebuilding ratio} problem, namely, in the case of erasures, what is the the fraction of the remaining information that needs to be…

Information Theory · Computer Science 2011-03-22 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

We consider the rack-aware storage system where $n=\bar{n}u$ nodes are organized in $\bar{n}$ racks each containing $u$ nodes, and any $k=\bar{k}u+u_0~(0\leq u_0<u)$ nodes can retrieve the original data file. More importantly, the…

Information Theory · Computer Science 2021-03-30 Liyang Zhou , Zhifang Zhang

Binary maximum distance separable (MDS) array codes are a special class of erasure codes for distributed storage that not only provide fault tolerance with minimum storage redundancy but also achieve low computational complexity. They are…

Information Theory · Computer Science 2019-06-24 Hanxu Hou , Yunghsiang Han , Patrick P. C. Lee , Yuchong Hu , Hui Li

Regenerating codes and codes with locality are two schemes that have recently been proposed to ensure data collection and reliability in a distributed storage network. In a situation where one is attempting to repair a failed node,…

Information Theory · Computer Science 2013-02-05 Govinda M. Kamath , N. Prakash , V. Lalitha , P. Vijay Kumar

In distributed storage systems that use coding, the issue of minimizing the communication required to rebuild a storage node after a failure arises. We consider the problem of repairing an erased node in a distributed storage system that…

Information Theory · Computer Science 2010-09-20 Zhiying Wang , Alexandros G. Dimakis , Jehoshua Bruck

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

MDS array codes are widely used in storage systems to protect data against erasures. We address the \emph{rebuilding ratio} problem, namely, in the case of erasures, what is the fraction of the remaining information that needs to be…

Information Theory · Computer Science 2016-11-17 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

We present a new 'piggybacking' framework for designing distributed storage codes that are efficient in data-read and download required during node-repair. We illustrate the power of this framework by constructing classes of explicit codes…

Information Theory · Computer Science 2013-02-26 K. V. Rashmi , Nihar B. Shah , Kannan Ramchandran

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

Distributed storage systems employ codes to provide resilience to failure of multiple storage disks. Specifically, an $(n, k)$ MDS code stores $k$ symbols in $n$ disks such that the overall system is tolerant to a failure of up to $n-k$…

Information Theory · Computer Science 2013-05-16 Sreechakra Goparaju , Itzhak Tamo , Robert Calderbank

The effect of redundancy on the aging of an efficient Maximum Distance Separable (MDS) parity--protected distributed storage system that consists of multidimensional arrays of storage units is explored. In light of the experimental…

Information Theory · Computer Science 2013-12-04 Suayb S. Arslan

We address the use of maximum distance separable (MDS) codes for distributed storage (DS) to enable efficient content delivery in wireless networks. Content is stored in a number of the mobile devices and can be retrieved from them using…

Information Theory · Computer Science 2016-08-30 Amina Piemontese , Alexandre Graell i Amat

The problem of secure distributed batch matrix multiplication (SDBMM) studies the communication efficiency of retrieving a sequence of desired matrix products ${\bf AB}$ $=$ $({\bf A}_1{\bf B}_1,$ ${\bf A}_2{\bf B}_2,$ $\cdots,$ ${\bf…

Information Theory · Computer Science 2021-06-23 Zhuqing Jia , Syed A. Jafar

In distributed storage systems (DSSs), the optimal tradeoff between node storage and repair bandwidth is an important issue for designing distributed coding strategies to ensure large scale data reliability. The capacity of DSSs is obtained…

Information Theory · Computer Science 2019-01-11 Jingzhao Wang , Tinghan Wang , Yuan Luo , Kenneth W. Shum