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We propose new repair schemes for Reed-Solomon codes that use subspace polynomials and hence generalize previous works in the literature that employ trace polynomials. The Reed-Solomon codes are over $\mathbb{F}_{q^\ell}$ and have…

Information Theory · Computer Science 2020-07-31 Hoang Dau , Dinh Thi Xinh , Han Mao Kiah , Tran Thi Luong , Olgica Milenkovic

Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS, the original data are stored into n distributed nodes in…

Information Theory · Computer Science 2017-06-16 Sheng Guan , Haibin Kan , Xin Wang

A new system model reflecting the clustered structure of distributed storage is suggested to investigate bandwidth requirements for repairing failed storage nodes. Large data centers with multiple racks/disks or local networks of storage…

Information Theory · Computer Science 2017-02-14 Jy-yong Sohn , Beongjun Choi , Sung Whan Yoon , Jaekyun Moon

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

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

We consider the problem of communication efficient secure distributed matrix multiplication. The previous literature has focused on reducing the number of servers as a proxy for minimizing communication costs. The intuition being, that the…

Information Theory · Computer Science 2022-06-10 Roberto Assis Machado , Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein

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

Motivated by polymer-based data-storage platforms that use chains of binary synthetic polymers as the recording media and read the content via tandem mass spectrometers, we propose a new family of codes that allows for unique string…

Information Theory · Computer Science 2019-04-22 Srilakshmi Pattabiraman , Ryan Gabrys , Olgica Milenkovic

In this paper, we introduce a model of a single-failure locally recoverable distributed storage system. This model appears to give rise to a problem seemingly dual of the well-studied index coding problem. The relation between the…

Information Theory · Computer Science 2014-03-12 Arya Mazumdar

This paper presents a construction for high-rate MDS codes that enable bandwidth-efficient repair of a single node. Such MDS codes are also referred to as the minimum storage regenerating (MSR) codes in the distributed storage literature.…

Information Theory · Computer Science 2016-01-26 Ankit Singh Rawat , O. Ozan Koyluoglu , Sriram Vishwanath

We initiate the study of DNA-based distributed storage systems, where information is encoded across multiple DNA data storage containers to achieve robustness against container failures. In this setting, data are distributed over $M$…

Information Theory · Computer Science 2026-02-10 Adi Levy , Roni Con , Eitan Yaakobi , Han Mao Kiah

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

We introduce a neighborhood-based data access model for distributed coded storage allocation. Storage nodes are connected in a generic network and data is accessed locally: a user accesses a randomly chosen storage node, which subsequently…

Information Theory · Computer Science 2014-11-12 Dusan Jakovetic , Aleksandar Minja , Dragana Bajovic , Dejan Vukobratovic

For scalar maximum distance separable (MDS) codes, the conventional repair schemes that achieve the cut-set bound with equality for the single-node repair have been proven to require a super-exponential sub-packetization level.As is well…

Information Theory · Computer Science 2026-03-16 Wei Zhao , Fang-Wei Fu , Ximing Fu

In this work, we consider a novel distributed data storage/caching scenario in a cellular setting where multiple nodes may fail/depart at the same time. In order to maintain the target reliability, we allow cooperative regeneration of lost…

Information Theory · Computer Science 2021-05-06 Suayb S. Arslan , Massoud Pourmandi , Elif Haytaoglu

In a distributed storage systems (DSS), regenerating codes are used to optimize bandwidth in the repair process of a failed node. To optimize other DSS parameters such as computation and disk I/O, Distributed Replication-based Simple…

Information Theory · Computer Science 2013-03-28 Srijan Anil , Manish K. Gupta , T. Aaron Gulliver

A key design goal of erasure-coded clusters is to reduce the repair time. The existing Erasure-coded data repair schemes are roughly classified into two categories: 1. Designing rapid data repair (e.g., PPR) in a homogeneous environment. 2.…

Networking and Internet Architecture · Computer Science 2021-04-12 Hai Zhou , Dan Feng , Yuchong Hu

Distributed storage systems support failures of individual devices by the use of replication or erasure correcting codes. While erasure correcting codes offer a better storage efficiency than replication for similar fault tolerance, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-10 Nicolas Le Scouarnec

We consider the problem of multiple-node repair in distributed storage systems under the cooperative model, where the repair bandwidth includes the amount of data exchanged between any two different storage nodes. Recently, explicit…

Information Theory · Computer Science 2019-12-02 Min Ye

We introduce a dynamical model of node repair in distributed storage systems wherein the storage nodes are subjected to failures according to independent Poisson processes. The main parameter that we study is the time-average capacity of…

Information Theory · Computer Science 2020-09-22 Ohad Elishco , Alexander Barg
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