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When there are multiple node failures in a distributed storage system, regenerating the failed storage nodes individually in a one-by-one manner is suboptimal as far as repair-bandwidth minimization is concerned. If data exchange among the…

Information Theory · Computer Science 2016-11-15 Kenneth W. Shum

Diversity coding is a network restoration technique which offers near-hitless restoration, while other state-of-the art techniques are significantly slower. Furthermore, the extra spare capacity requirement of diversity coding is…

Networking and Internet Architecture · Computer Science 2016-11-11 Serhat Nazim Avci , Ender Ayanoglu

A finite blocklenth analysis of the diversity-multiplexing tradeoff is presented, based on nonasymptotic bounds on the maximum channel coding rate of multiple-antenna block-memoryless Rayleigh-fading channels.The bounds in this paper allow…

Information Theory · Computer Science 2016-11-17 Johan Östman , Wei Yang , Giuseppe Durisi , Tobias Koch

This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable…

Information Theory · Computer Science 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

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

This paper considers capacity-achieving coding for the clustered form of distributed storage that reflects practical storage networks. To reflect the clustered structure with limited cross-cluster communication bandwidths, nodes in the same…

Information Theory · Computer Science 2019-08-05 Jy-yong Sohn , Beongjun Choi , Jaekyun Moon

In this paper, we study vector codes with all-symbol locality, where the local code is either a Minimum Bandwidth Regenerating (MBR) code or a Minimum Storage Regenerating (MSR) code. In the first part, we present vector codes with…

Information Theory · Computer Science 2018-04-03 M. Nikhil Krishnan , Anantha Narayanan R. , P. Vijay Kumar

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

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

One of the design objectives in distributed storage system is the minimization of the data traffic during the repair of failed storage nodes. By repairing multiple failures simultaneously and cooperatively, further reduction of repair…

Information Theory · Computer Science 2015-03-20 Kenneth W. Shum , Yuchong Hu

Erasure correcting codes are widely used to ensure data persistence in distributed storage systems. This paper addresses the simultaneous repair of multiple failures in such codes. We go beyond existing work (i.e., regenerating codes by…

Information Theory · Computer Science 2013-09-18 Anne-Marie Kermarrec , Gilles Straub , Nicolas Le Scouarnec

In distributed multilevel diversity coding, $K$ correlated sources (each with $K$ components) are encoded in a distributed manner such that, given the outputs from any $\alpha$ encoders, the decoder can reconstruct the first $\alpha$…

Information Theory · Computer Science 2015-05-04 Zhiqing Xiao , Jun Chen , Yunzhou Li , Jing Wang

Decoding and repair schemes are proposed for shift-exclusive-or (shift-XOR) product-matrix (PM) regenerating codes, which outperform the existing schemes in terms of both communication and computation costs. In particular, for the shift-XOR…

Information Theory · Computer Science 2020-05-05 Ximing Fu , Shenghao Yang , Zhiqing Xiao

Regenerating codes are a class of distributed storage codes that optimally trade the bandwidth needed for repair of a failed node with the amount of data stored per node of the network. Minimum Storage Regenerating (MSR) codes minimize…

Information Theory · Computer Science 2011-07-27 K. V. Rashmi , Nihar B. Shah , P. Vijay Kumar

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

Typically, locally repairable codes (LRCs) and regenerating codes have been studied independently of each other, and it has not been clear how the parameters of one relate to those of the other. In this paper, a novel connection between…

Information Theory · Computer Science 2016-11-22 Toni Ernvall , Thomas Westerbäck , Ragnar Freij-Hollanti , Camilla Hollanti

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

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

Regenerating codes allow distributed storage systems to recover from the loss of a storage node while transmitting the minimum possible amount of data across the network. We present a systematic computer search for optimal systematic…

Information Theory · Computer Science 2009-10-14 Daniel Cullina , Alexandros G. Dimakis , Tracey Ho

This paper addresses the problem of constructing MDS codes that enable exact repair of each code block with small repair bandwidth, which refers to the total amount of information flow from the remaining code blocks during the repair…

Information Theory · Computer Science 2017-09-26 Ankit Singh Rawat , Itzhak Tamo , Venkatesan Guruswami , Klim Efremenko