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We consider the caching of content in the mobile devices in a dense wireless network using maximum distance separable (MDS) codes. We focus on an area, served by a base station (BS), where mobile devices move around according to a random…

Information Theory · Computer Science 2018-11-01 Jesper Pedersen , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

Most large-scale storage systems employ erasure coding to provide resilience against disk failures. Recent work has shown that tuning this redundancy to changes in disk failure rates leads to substantial storage savings. This process…

Information Theory · Computer Science 2024-05-16 Saransh Chopra , Francisco Maturana , K. V. Rashmi

Minimum storage regenerating codes have minimum storage of data in each node and therefore are maximal distance separable (MDS for short) codes. Thus, the number of nodes is upper bounded by $2^{\fb}$, where $\fb$ is the bits of data stored…

Information Theory · Computer Science 2017-10-06 Lingfei Jin , Yuan Luo , Chaoping Xing

In order to correct the pair-errors generated during the transmission of modern high-density data storage that the outputs of the channels consist of overlapping pairs of symbols, a new coding scheme named symbol-pair code is proposed. The…

Information Theory · Computer Science 2025-09-17 Xiujing Zheng , Liqi Wang , Shixin Zhu

We propose several new lower bounds on the bandwidth costs of MDS convertible codes using a linear-algebraic framework. The derived bounds improve previous results in certain parameter regimes and match the bandwidth cost of the…

Information Theory · Computer Science 2026-05-13 Lewen Wang , Sihuang Hu

Distributed storage systems are mainly justified due to the limited amount of storage capacity and improving the reliability through distributing data over multiple storage nodes. On the other hand, it may happen the data is stored in…

Information Theory · Computer Science 2010-04-15 Soroush Akhlaghi , Abbas Kiani , Mohammad Reza Ghanavati

Cooperative regenerating codes are designed for repairing multiple node failures in distributed storage systems. In contrast to the original repair model of regenerating codes, which are for the repair of single node failure, data exchange…

Information Theory · Computer Science 2016-07-29 Kenneth W. Shum , Junyu Chen

An $(n,k,d)$ cooperative regenerating code provides the optimal-bandwidth repair for any $t~(t\!>\!1)$ node failures in a cooperative way. In particular, an MSCR (minimum storage cooperative regenerating) code retains the same storage…

Information Theory · Computer Science 2018-10-11 Yaqian Zhang , Zhifang Zhang

Symbol-pair code is a new coding framework which is proposed to correct errors in the symbol-pair read channel. In particular, maximum distance separable (MDS) symbol-pair codes are a kind of symbol-pair codes with the best possible…

Information Theory · Computer Science 2016-08-10 Shuxing Li , Gennian Ge

The issue of repairing Reed-Solomon codes currently employed in industry has been sporadically discussed in the literature. In this work we carry out a systematic study of these codes and investigate important aspects of repairing them…

Information Theory · Computer Science 2022-05-24 Thi Xinh Dinh , Luu Y Nhi Nguyen , Lakshmi J. Mohan , Serdar Boztas , Tran Thi Luong , Son Hoang Dau

Distributed storage systems provide reliable access to data through redundancy spread over individually unreliable nodes. Application scenarios include data centers, peer-to-peer storage systems, and storage in wireless networks. Storing…

Networking and Internet Architecture · Computer Science 2008-03-06 Alexandros G. Dimakis , P. Brighten Godfrey , Yunnan Wu , Martin J. Wainwright , Kannan Ramchandran

Erasure coding techniques are used to increase the reliability of distributed storage systems while minimizing storage overhead. Also of interest is minimization of the bandwidth required to repair the system following a node failure. In a…

Information Theory · Computer Science 2009-10-06 K. V. Rashmi , Nihar B. Shah , P. Vijay Kumar , Kannan Ramchandran

In order to provide high data reliability, distributed storage systems disperse data with redundancy to multiple storage nodes. Regenerating codes is a new class of erasure codes to introduce redundancy for the purpose of improving the data…

Information Theory · Computer Science 2015-03-18 Kenneth W. Shum , Yuchong Hu

Regenerating codes and codes with locality are two schemes that have recently been proposed to ensure data collection and reliability in a distributed storage network. In a situation where one is attempting to repair a failed node,…

Information Theory · Computer Science 2013-02-05 Govinda M. Kamath , N. Prakash , V. Lalitha , P. Vijay Kumar

We examine an error-correcting coding framework in which each coded symbol is constrained to be a function of a fixed subset of the message symbols. With an eye toward distributed storage applications, we seek to design systematic codes…

Information Theory · Computer Science 2015-02-23 Wael Halbawi , Matthew Thill , Babak Hassibi

This paper presents a new construction of Maximum-Distance Separable (MDS) Reed-Solomon erasure codes based on Fermat Number Transform (FNT). Thanks to FNT, these codes support practical coding and decoding algorithms with complexity O(n…

Information Theory · Computer Science 2009-07-13 Alexandre Soro , Jerome Lacan

In this paper, we consider heterogeneous distributed storage systems (DSSs) having flexible reconstruction degree, where each node in the system has dynamic repair bandwidth and dynamic storage capacity. In particular, a data collector can…

Information Theory · Computer Science 2015-03-10 Krishna Gopal Benerjee , Manish K. Gupta

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

We study a generalization of the setting of regenerating codes, motivated by applications to storage systems consisting of clusters of storage nodes. There are $n$ clusters in total, with $m$ nodes per cluster. A data file is coded and…

Information Theory · Computer Science 2018-08-07 N. Prakash , Vitaly Abdrashitov , Muriel Medard

Consider the following fundamental question of distributed storage networks: Given any arbitrary $(n,k,d)$ values, whether there exists an intelligent helper selection scheme (assuming unlimited memory and computing power) that can strictly…

Information Theory · Computer Science 2018-08-28 Imad Ahmad , Chih-Chun Wang