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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

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

Erasure codes are being increasingly used in distributed-storage systems in place of data-replication, since they provide the same level of reliability with much lower storage overhead. We consider the problem of constructing explicit…

Information Theory · Computer Science 2015-09-08 Preetum Nakkiran , K. V. Rashmi , Kannan Ramchandran

A new class of exact-repair regenerating codes is constructed by combining two layers of erasure correction codes together with combinatorial block designs, e.g., Steiner systems, balanced incomplete block designs and t-designs. The…

Information Theory · Computer Science 2013-02-20 Chao Tian , Vaneet Aggarwal , Vinay A. Vaishampayan

The majority of works in distributed storage networks assume a simple network model with a collection of identical storage nodes with the same communication cost between the nodes. In this paper, we consider a realistic multi-rack…

Information Theory · Computer Science 2019-03-11 Ali Tebbi , Terence H. Chan , Chi Wan Sung

In the context of distributed storage systems, locally repairable codes have become important. In this paper we focus on codes that allow for multi-erasure pattern decoding with low computational effort. Different optimality requirements,…

Information Theory · Computer Science 2025-04-16 Margreta Kuijper , Julia Lieb , Diego Napp

We consider the design of regenerating codes for distributed storage systems at the minimum bandwidth regeneration (MBR) point. The codes allow for a repair process that is exact and uncoded, but table-based. These codes were introduced in…

Information Theory · Computer Science 2012-11-19 Oktay Olmez , Aditya Ramamoorthy

We consider the problem of secure distributed data storage under the paradigm of \emph{weak security}, in which no \emph{meaningful information} is leaked to the eavesdropper. More specifically, the eavesdropper cannot get any information…

Information Theory · Computer Science 2014-05-13 Swanand Kadhe , Alex Sprintson

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

Erasure codes provide a storage efficient alternative to replication based redundancy in (networked) storage systems. They however entail high communication overhead for maintenance, when some of the encoded fragments are lost and need to…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-24 Frederique Oggier , Anwitaman Datta

We investigate the problem of maintaining an encoded distributed storage system when some nodes contain adversarial errors. Using the error-correction capabilities that are built into the existing redundancy of the system, we propose a…

Cryptography and Security · Computer Science 2015-03-17 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho

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 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

This chapter deals with the topic of designing reliable and efficient codes for the storage and retrieval of large quantities of data over storage devices that are prone to failure. For long, the traditional objective has been one of…

Information Theory · Computer Science 2020-10-06 Vinayak Ramkumar , Myna Vajha , S. B. Balaji , M. Nikhil Krishnan , Birenjith Sasidharan , P. Vijay Kumar

Regenerating codes are a class of codes for distributed storage networks that provide reliability and availability of data, and also perform efficient node repair. Another important aspect of a distributed storage network is its security.…

Information Theory · Computer Science 2015-03-19 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar

Ever-increasing amounts of data are created and processed in internet-scale companies such as Google, Facebook, and Amazon. The efficient storage of such copious amounts of data has thus become a fundamental and acute problem in modern…

Information Theory · Computer Science 2018-06-26 Natalia Silberstein , Tuvi Etzion , Moshe Schwartz

This paper studies the design of codes for distributed storage systems (DSS) that enable local repair in the event of node failure. This paper presents locally repairable codes based on low degree multivariate polynomials. Its code…

Information Theory · Computer Science 2012-04-30 Ankit Singh Rawat , Sriram Vishwanath

We consider the problem of constructing an erasure code for storage over a network when the data sources are distributed. Specifically, we assume that there are n storage nodes with limited memory and k<n sources generating the data. We…

Information Theory · Computer Science 2016-11-15 Alexandros G. Dimakis , Vinod Prabhakaran , Kannan Ramchandran

Network codes designed specifically for distributed storage systems have the potential to provide dramatically higher storage efficiency for the same availability. One main challenge in the design of such codes is the exact repair problem:…

Information Theory · Computer Science 2011-09-02 Dimitris S. Papailiopoulos , Jianqiang Luo , Alexandros G. Dimakis , Cheng Huang , Jin Li

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