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We develop a duality theory of locally recoverable codes (LRCs) and apply it to establish a series of new bounds on their parameters. We introduce and study a refined notion of weight distribution that captures the code's locality. Using a…

Information Theory · Computer Science 2023-09-08 Anina Gruica , Benjamin Jany , Alberto Ravagnani

Reliability in distributed storage systems has typically focused on the design and deployment of data replication or erasure coding techniques. Although some scenarios have considered the use of replication for hot data and erasure coding…

Information Theory · Computer Science 2025-11-04 Daniel E. Lucani , Marcell Fehér

We study the exact-repair tradeoff between storage and repair bandwidth in distributed storage systems (DSS). We give new inner bounds for the tradeoff region and provide code constructions that achieve these bounds.

Information Theory · Computer Science 2014-02-12 Sreechakra Goparaju , Salim El Rouayheb , Robert Calderbank

A distributed quantum storage code maps a quantum message to N storage nodes, of arbitrary specified sizes, such that the stored message is robust to an arbitrary specified set of erasure patterns. The sizes of the storage nodes, and…

Information Theory · Computer Science 2025-10-14 Hua Sun , Syed A. Jafar

One of the primary objectives of a distributed storage system is to reliably store large amounts of source data for long durations using a large number $N$ of unreliable storage nodes, each with $c$ bits of storage capacity. Storage nodes…

Information Theory · Computer Science 2021-01-14 Michael Luby , Thomas Richardson

The optimal tradeoff between node storage and repair bandwidth is an important issue for distributed storage systems (DSSs). As for realistic DSSs with clusters, when repairing a failed node, it is more efficient to download more data from…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-08 Jingzhao Wang , Tinghan Wang , Yuan Luo

In this paper we study the problem of storing reliably an archive of versioned data. Specifically, we focus on systems where the differences (deltas) between subsequent versions rather than the whole objects are stored - a typical model for…

Information Theory · Computer Science 2014-11-19 J. Harshan , Frédérique 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

In cloud computing, storage area networks, remote backup storage, and similar settings, stored data is modified with updates from new versions. Representing information and modifying the representation are both expensive. Therefore it is…

Information Theory · Computer Science 2011-05-11 Lav R. Varshney , Julius Kusuma , Vivek K Goyal

In large scale distributed storage systems (DSS) deployed in cloud computing, correlated failures resulting in simultaneous failure (or, unavailability) of blocks of nodes are common. In such scenarios, the stored data or a content of a…

Information Theory · Computer Science 2014-06-30 Gokhan Calis , O. Ozan Koyluoglu

Data storage in Distributed Storage Systems (DSSs) is a multidimensional optimization problem. Using network coding, one wants to provide reliability, scalability, security, reduced storage overhead, reduced bandwidth for repair and minimal…

Information Theory · Computer Science 2016-09-13 Shreyansh A. Prajapati , Manish K. Gupta

In data centers, data replication is the primary method used to ensure availability of customer data. To avoid correlated failure, cloud storage infrastructure providers model hierarchical failure domains using a tree, and avoid placing a…

Data Structures and Algorithms · Computer Science 2017-04-21 K. Alex Mills , R. Chandrasekaran , Neeraj Mittal

We investigate the duality of the binary erasure channel (BEC) and the binary defect channel (BDC). This duality holds for channel capacities, capacity achieving schemes, minimum distances, and upper bounds on the probability of failure to…

Information Theory · Computer Science 2018-03-09 Yongjune Kim , B. V. K. Vijaya Kumar

Metastable failure is a recent abstraction of a pattern of failures that occurs frequently in real-world distributed storage systems. In this paper, we propose a formal analysis and modeling of metastable failures in replicated storage…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Farzad Habibi , Tania Lorido-Botran , Ahmad Showail , Daniel C. Sturman , Faisal Nawab

We investigate the packing and covering densities of linear and nonlinear binary codes, and establish a number of duality relationships between the packing and covering problems. Specifically, we prove that if almost all codes (in the class…

Information Theory · Computer Science 2009-09-29 Gérard Cohen , Alexander Vardy

In this paper, we generalize the well-known index coding problem to exploit the structure in the source-data to improve system throughput. In many applications, the data to be transmitted may lie (or can be well approximated) in a…

Information Theory · Computer Science 2017-04-11 Bhavya Kailkhura , Lakshmi Narasimhan Theagarajan , Pramod K. Varshney

Distributed storage systems must handle both data heterogeneity, arising from non-uniform access demands, and device heterogeneity, caused by time-varying node reliability. In this paper, we study convertible codes, which enable the…

Information Theory · Computer Science 2026-01-16 Anina Gruica , Benjamin Jany , Stanislav Kruglik

A promising research area that has recently emerged, is on how to use index coding to improve the communication efficiency in distributed computing systems, especially for data shuffling in iterative computations. In this paper, we posit…

Information Theory · Computer Science 2018-05-04 Linqi Song , Christina Fragouli , Tianchu Zhao

The ubiquitous Variable-Byte encoding is one of the fastest compressed representation for integer sequences. However, its compression ratio is usually not competitive with other more sophisticated encoders, especially when the integers to…

Information Retrieval · Computer Science 2022-02-08 Giulio Ermanno Pibiri , Rossano Venturini

Clustered distributed storage models real data centers where intra- and cross-cluster repair bandwidths are different. In this paper, exact-repair minimum-storage-regenerating (MSR) codes achieving capacity of clustered distributed storage…

Information Theory · Computer Science 2018-01-09 Jy-yong Sohn , Beongjun Choi , Jaekyun Moon
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