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Centralized repair refers to repairing $h\geq 2$ node failures using $d$ helper nodes in a centralized way, where the repair bandwidth is counted by the total amount of data downloaded from the helper nodes. A centralized MSR code is an MDS…

Information Theory · Computer Science 2024-02-06 Yaqian 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 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

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

In this paper, we present a generic framework for constructing systematic minimum storage regenerating codes with two parity nodes based on the invariant subspace technique. Codes constructed in our framework not only contain some best…

Information Theory · Computer Science 2015-03-09 Jie Li , Xiaohu Tang , Udaya Parampalli

Several works have developed vector-linear maximum-distance separable (MDS) storage codes that min- imize the total communication cost required to repair a single coded symbol after an erasure, referred to as repair bandwidth (BW). Vector…

Information Theory · Computer Science 2016-11-18 Karthikeyan Shanmugam , Dimitris S. Papailiopoulos , Alexandros G. Dimakis , Giuseppe Caire

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

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

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

This short note revisits the problem of designing secure minimum storage regenerating (MSR) codes for distributed storage systems. A secure MSR code ensures that a distributed storage system does not reveal the stored information to a…

Information Theory · Computer Science 2016-08-08 Ankit Singh Rawat

Fractional repetition (FR) codes are a family of repair-efficient storage codes that provide exact and uncoded node repair at the minimum bandwidth regenerating point. The advantageous repair properties are achieved by a tailor-made…

Information Theory · Computer Science 2020-05-15 Bing Zhu , Hui Li , Kenneth W. Shum , Shuo-Yen Robert Li

Modern distributed storage systems apply redundancy coding techniques to stored data. One form of redundancy is based on regenerating codes, which can minimize the repair bandwidth, i.e., the amount of data transferred when repairing a…

Information Theory · Computer Science 2013-01-23 Yuchong Hu , Patrick P. C. Lee , Kenneth W. Shum

We propose a generic transformation that can convert any nonbinary $(n=k+r,k)$ maximum distance separable (MDS) code into another $(n,k)$ MDS code over the same field such that 1) some arbitrarily chosen $r$ nodes have the optimal repair…

Information Theory · Computer Science 2018-08-24 Jie Li , Xiaohu Tang , Chao Tian

We present the construction of a new family of erasure correcting codes for distributed storage that yield low repair bandwidth and low repair complexity. The construction is based on two classes of parity symbols. The primary goal of the…

Information Theory · Computer Science 2015-08-28 Siddhartha Kumar , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

In large data centers, storage nodes are organized in racks, and the cross-rack transmission dominates the bandwidth cost. For the repair of single node failures, codes achieving the tradeoff between the storage redundancy and cross-rack…

Information Theory · Computer Science 2022-05-19 Liyang Zhou , Zhifang Zhang

We consider the setting of data storage across n nodes in a distributed manner. A data collector (DC) should be able to reconstruct the entire data by connecting to any k out of the n nodes and downloading all the data stored in them. When…

Information Theory · Computer Science 2009-09-05 Nihar B. Shah , K. V. Rashmi , 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

We give an explicit construction of exact cooperative regenerating codes at the MBCR (minimum bandwidth cooperative regeneration) point. Before the paper, the only known explicit MBCR code is given with parameters $n=d+r$ and $d=k$, while…

Information Theory · Computer Science 2012-07-05 Anyu Wang , Zhifang Zhang

Reed-Solomon (RS) codes are widely used in distributed storage systems. In this paper, we study the repair bandwidth and sub-packetization size of RS codes. The repair bandwidth is defined as the amount of transmitted information from…

Information Theory · Computer Science 2019-03-11 Weiqi Li , Zhiying Wang , Hamid Jafarkhani

$\epsilon$-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