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In a realistic distributed storage environment, storage nodes are usually placed in racks, a metallic support designed to accommodate electronic equipment. It is known that the communication (bandwidth) cost between nodes within a rack is…

Information Theory · Computer Science 2013-01-09 Bernat Gastón , Jaume Pujol , Mercè Villanueva

We revisit zigzag array codes, a family of MDS codes known for achieving optimal access and optimal rebuilding ratio in single-node repair. In this work, we endow zigzag codes with two new properties: small field size and low skip cost.…

Information Theory · Computer Science 2025-09-30 Wenqin Zhang , Han Mao Kiah , Son Hoang Dau

The repair bandwidth of a code is the minimum amount of data required to repair one or several failed nodes (erasures). For MDS codes, the repair bandwidth is bounded below by the so-called cut-set bound, and codes that meet this bound with…

Information Theory · Computer Science 2017-10-20 Min Ye , Alexander Barg

$\epsilon$-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

There are multiple performance metrics in the design of coding schemes for distributed storage systems. The first metric is called repair bandwidth, which measures the network resources required during the repair process. Another critical…

Information Theory · Computer Science 2026-01-15 Minhan Gao , Kenneth Shum

We consider the use of distributed storage (DS) to reduce the communication cost of content delivery in wireless networks. Content is stored (cached) in a number of mobile devices using an erasure correcting code. Users retrieve content…

Information Theory · Computer Science 2016-09-28 Jesper Pedersen , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

Locally repairable codes(LRCs) play important roles in distributed storage systems(DSS). LRCs with small locality have their own advantages since fewer available symbols are needed in the recovery of erased symbols. In this paper, we prove…

Information Theory · Computer Science 2022-07-08 Yuan Gao , Siman Yang

In distributed storage systems, both the repair bandwidth and locality are important repair cost metrics to evaluate the performance of a storage code. Recently, Guruswami and Wooters proposed an optimal linear repair scheme based on…

Information Theory · Computer Science 2019-06-26 Tingting Chen , Xiande Zhang

In distributed storage systems that employ erasure coding, the issue of minimizing the total {\it communication} required to exactly rebuild a storage node after a failure arises. This repair bandwidth depends on the structure of the…

Information Theory · Computer Science 2011-06-09 Dimitris S. Papailiopoulos , Alexandros G. Dimakis , Viveck R. Cadambe

A code construction and repair scheme for optimal functional regeneration of multiple node failures is presented, which is based on stitching together short MDS codes on carefully chosen sets of points lying on a linearized polynomial. The…

Information Theory · Computer Science 2019-04-17 Nitish Mital , Katina Kralevska , Cong Ling , Deniz Gunduz

In an $(n,k,d)$ rack-aware storage model, the system consists of $n$ nodes uniformly distributed across $\bar{n}$ successive racks, such that each rack contains $u$ nodes of equal capacity and the reconstructive degree satisfies…

Information Theory · Computer Science 2025-11-25 Hengming Zhao , Dianhua Wu , Minquan Cheng

Given the scale of today's distributed storage systems, the failure of an individual node is a common phenomenon. Various metrics have been proposed to measure the efficacy of the repair of a failed node, such as the amount of data download…

Information Theory · Computer Science 2015-01-21 Gaurav Kumar Agarwal , Birenjith Sasidharan , P. Vijay Kumar

High-rate minimum storage regenerating (MSR) codes are known to require a large sub-packetization level, which can make meta-data management difficult and hinder implementation in practical systems. A few maximum distance separable (MDS)…

Information Theory · Computer Science 2023-08-29 Jie Li , Yi Liu , Xiaohu Tang , Yunghsiang S. Han , Bo Bai , Gong Zhang

We study exact-regenerating codes for entanglement-assisted distributed storage systems. Consider an $(n,k,d,\alpha,\beta_{\mathsf{q}},B)$ distributed system that stores a file of $B$ classical symbols across $n$ nodes with each node…

Information Theory · Computer Science 2026-05-13 Lei Hu , Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

Data availability is one of the most important features in distributed storage systems, made possible by data replication. Nowadays data are generated rapidly and the goal to develop efficient, scalable and reliable storage systems has…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Chryssis Georgiou , Nicolas Nicolaou , Andria Trigeorgi

In the literature, most of the known high-rate $(n,k)$ MDS array codes with the optimal repair property only support a single repair degree (i.e., the number of helper nodes contacted during a repair process) $d$, where $k\le d\le n-1$.…

Information Theory · Computer Science 2022-05-27 Y. Liu , J. Li , X. H. Tang

Reed-Solomon codes have found many applications in practical storage systems, but were until recently considered unsuitable for distributed storage applications due to the widely-held belief that they have poor repair bandwidth. The work of…

Information Theory · Computer Science 2017-05-16 Hoang Dau , Olgica Milenkovic

The base station-mobile device communication traffic has dramatically increased recently due to mobile data, which in turn heavily overloaded the underlying infrastructure. To decrease Base Station (BS) interaction, intra-cell communication…

Information Theory · Computer Science 2021-10-04 Elif Haytaoglu , Erdi Kaya , Suayb S. Arslan

Distributed storage systems that deploy erasure codes can provide better features such as lower storage overhead and higher data reliability. In this paper, we focus on fractional repetition (FR) codes, which are a class of storage codes…

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

Erasure codes have emerged as an efficient technology for providing data redundancy in distributed storage systems. However, it is a challenging task to repair the failed storage nodes in erasure-coded storage systems, which requires large…

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