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A code is called a locally repairable code (LRC) if any code symbol is a function of a small fraction of other code symbols. When a locally repairable code is employed in a distributed storage systems, an erased symbol can be recovered by…

Information Theory · Computer Science 2021-11-25 Wei Zhao , Kenneth W. Shum , Shenghao Yang

In large-scale distributed storage systems (DSS), reliability is provided by redundancy spread over storage servers across the Internet. Network coding (NC) has been widely studied in DSS because it can improve the reliability with low…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-17 Chengjin Jia , Jin Wang , Yanqin Zhu , Xin Wang , Kejie Lu , Xiumin Wang , Zhengqing Wen

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

Coded caching has the potential to greatly reduce network traffic by leveraging the cheap and abundant storage available in end-user devices so as to create multicast opportunities in the delivery phase. In the seminal work by Maddah-Ali…

Information Theory · Computer Science 2020-01-13 Kai Wan , Hua Sun , Mingyue Ji , Daniela Tuninetti , Giuseppe Caire

Fractional repetition (FR) codes are a class of regenerating codes for distributed storage systems with an exact (table-based) repair process that is also uncoded, i.e., upon failure, a node is regenerated by simply downloading packets from…

Information Theory · Computer Science 2016-02-09 Oktay Olmez , Aditya Ramamoorthy

A distributed storage system stores data across multiple nodes, with the primary objective of enabling efficient data recovery even in the event of node failures. The main goal of an exact repair scheme is to recover the data from a failed…

Information Theory · Computer Science 2026-01-05 Hiram H. López , Gretchen L. Matthews , Daniel Valvo

In distributed storage systems (DSSs), the optimal tradeoff between node storage and repair bandwidth is an important issue for designing distributed coding strategies to ensure large scale data reliability. The capacity of DSSs is obtained…

Information Theory · Computer Science 2019-01-11 Jingzhao Wang , Tinghan Wang , Yuan Luo , Kenneth W. Shum

This work presents a theoretical analysis of the probability of successfully retrieving data encoded with MDS codes (e.g., Reed-Solomon codes) in DNA storage systems. We study this probability under independent and identically distributed…

Information Theory · Computer Science 2026-05-08 Serge Kas Hanna

Distributed storage systems and associated storage codes can efficiently store a large amount of data while ensuring that data is retrievable in case of node failure. The study of such systems, particularly the design of storage codes over…

Information Theory · Computer Science 2014-09-26 David Karpuk , Camilla Hollanti , Amaro Barreal

Large-scale distributed storage systems typically use erasure codes to provide durability of data in the face of failures. A set of $k$ blocks to be stored is encoded using an $[n, k]$ code to generate $n$ blocks that are then stored on…

Information Theory · Computer Science 2019-07-31 Francisco Maturana , K. V. Rashmi

Distributed storage systems in the presence of a wiretapper are considered. A distributed storage system (DSS) is parameterized by three parameters (n, k,d), in which a file stored across n distributed nodes, can be recovered from any k out…

Information Theory · Computer Science 2016-11-17 Ravi Tandon , SaiDhiraj Amuru , T. Charles Clancy , R. Michael Buehrer

We study the inherent space requirements of shared storage algorithms in asynchronous fault-prone systems. Previous works use codes to achieve a better storage cost than the well-known replication approach. However, a closer look reveals…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-21 Alexander Spiegelman , Yuval Cassuto , Gregory Chockler , Idit Keidar

This paper deals with scalar linear index codes for canonical multiple unicast index coding problems where there is a source with K messages and there are K receivers each wanting a unique message and having symmetric (with respect to the…

Information Theory · Computer Science 2015-10-30 Roop Kumar Bhattaram , Mahesh Babu Vaddi , B. Sundar Rajan

An index code for broadcast channel with receiver side information is locally decodable if each receiver can decode its demand by observing only a subset of the transmitted codeword symbols instead of the entire codeword. Local decodability…

Information Theory · Computer Science 2020-07-31 Lakshmi Natarajan , Prasad Krishnan , V. Lalitha , Hoang Dau

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

Consider two or more strings $\mathbf{x}^1,\mathbf{x}^2,\ldots,$ that are concatenated to form $\mathbf{x}=\langle \mathbf{x}^1,\mathbf{x}^2,\ldots \rangle$. Suppose that up to $\delta$ deletions occur in each of the concatenated strings.…

Information Theory · Computer Science 2023-04-20 Serge Kas Hanna

In this paper, we propose a new coding scheme and establish new bounds on the capacity region for the multi-sender unicast index-coding problem. We revisit existing partitioned Distributed Composite Coding (DCC) proposed by Sadeghi et al.…

Information Theory · Computer Science 2018-09-07 Min Li , Lawrence Ong , Sarah J. Johnson

We consider the problem of geographically distributed data storage in a network of servers (or nodes) where the nodes are connected to each other via communication links having certain round-trip times (RTTs). Each node serves a specific…

Information Theory · Computer Science 2024-05-14 Srivathsa Acharya , P. Vijay Kumar , Viveck R. Cadambe

The distributed data storage systems are constructed by large number of nodes which are interconnected over a network. Each node in such peer-to-peer network is vulnerable and at a potential risk for attack. The attackers can eavesdrop the…

Information Theory · Computer Science 2016-02-08 Ninoslav Marina , Aneta Velkoska , Natasa Paunkoska

In distributed storage, erasure codes -- like Reed-Solomon Codes -- are often employed to provide reliability. In this setting, it is desirable to be able to repair one or more failed nodes while minimizing the repair bandwidth. In this…

Information Theory · Computer Science 2018-04-20 Jay Mardia , Burak Bartan , Mary Wootters