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Maximum distance separable (MDS) codes are widely used in storage systems to protect against disk (node) failures. A node is said to have capacity $l$ over some field $\mathbb{F}$, if it can store that amount of symbols of the field. An…

Information Theory · Computer Science 2016-11-17 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

It is well known that an (n,k) code can be used to store 'k' units of information in 'n' unit-capacity disks of a distributed data storage system. If the code used is maximum distance separable (MDS), then the system can tolerate any (n-k)…

Information Theory · Computer Science 2011-06-08 Viveck R. Cadambe , Cheng Huang , Syed A. Jafar , Jin Li

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

This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable…

Information Theory · Computer Science 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

Recent advances in nanotechnology have enabled researchers to manipulate small collections of quantum mechanical objects with unprecedented accuracy. In semiconductor quantum dot qubits, this manipulation requires controlling the dot…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Adam Frees , John King Gamble , Daniel R. Ward , Robin Blume-Kohout , M. A. Eriksson , Mark Friesen , S. N. Coppersmith

Modern distributed storage systems often use erasure codes to protect against disk and node failures to increase reliability, while trying to meet the latency requirements of the applications and clients. Storage systems may have caches at…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-24 Vaneet Aggarwal , Yih-Farn R. Chen , Tian Lan , Yu Xiang

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

The minimum storage rack-aware regenerating (MSRR) code is a variation of regenerating codes that achieves the optimal repair bandwidth for a single node failure in the rack-aware model. The authors in~\cite{Chen-Barg2019}…

Information Theory · Computer Science 2021-09-20 Jiaojiao Wang , Dabin Zheng , Shenghua Li

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

Persistent Memory (PM) makes possible recoverable applications that can preserve application progress across system reboots and power failures. Actual recoverability requires careful ordering of cacheline flushes, currently done in two…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-02 Swapnil Haria , Mark D. Hill , Michael M. Swift

The surge in demand for cost-effective, durable long-term archival media, coupled with density limitations of contemporary magnetic media, has resulted in synthetic DNA emerging as a promising new alternative. Despite its benefits, storing…

Databases · Computer Science 2024-05-28 Eugenio Marinelli , Yiqing Yan , Virginie Magnone , Pascal Barbry , Raja Appuswamy

We present the construction of a family of erasure correcting codes for distributed storage that achieve low repair bandwidth and complexity at the expense of a lower fault tolerance. The construction is based on two classes of codes, where…

Information Theory · Computer Science 2018-09-03 Siddhartha Kumar , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström , Eirik Rosnes

MDS array codes are widely used in storage systems to protect data against erasures. We address the \emph{rebuilding ratio} problem, namely, in the case of erasures, what is the fraction of the remaining information that needs to be…

Information Theory · Computer Science 2016-11-17 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

We propose a novel application of coded computing to the problem of the nearest neighbor estimation using MatDot Codes [Fahim. et.al. 2017], that are known to be optimal for matrix multiplication in terms of recovery threshold under storage…

Information Theory · Computer Science 2018-11-30 Utsav Sheth , Sanghamitra Dutta , Malhar Chaudhari , Haewon Jeong , Yaoqing Yang , Jukka Kohonen , Teemu Roos , Pulkit Grover

For high-rate maximum distance separable (MDS) codes, most of them are designed to optimally repair a single failed node by connecting all the surviving nodes. However, in practical systems, sometimes not all the surviving nodes are…

Information Theory · Computer Science 2021-07-22 Yi Liu , Jie Li , Xiaohu Tang

In distributed quantum storage, physical qubits of a code will be stored across the network. When qubits in one of the nodes are lost i.e. when the node is erased, the remaining nodes need to communicate with a new node to replace the lost…

Quantum Physics · Physics 2025-05-27 Kaushik Senthoor

Constructing Reed-Solomon (RS) codes that can correct insertion and deletion (ins-del) errors has been the focus of several recent studies. However, efficient decoding algorithms for such codes have received less attention and remain a…

Information Theory · Computer Science 2025-07-02 Shubhransh Singhvi

In this paper, we study error-correcting codes for the storage of data in synthetic deoxyribonucleic acid (DNA). We investigate a storage model where data is represented by an unordered set of $M$ sequences, each of length $L$. Errors…

Information Theory · Computer Science 2018-05-10 Andreas Lenz , Paul H. Siegel , Antonia Wachter-Zeh , Eitan Yaakobi

The high repair cost of (n,k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of codes, called Regenerating Codes, that optimally trade off storage cost for repair bandwidth. In this paper, we address…

Information Theory · Computer Science 2010-04-28 Changho Suh , Kannan Ramchandran

Flash memory is a non-volatile computer memory comprised of blocks of cells, wherein each cell is implemented as either NAND or NOR floating gate. NAND flash is currently the most widely used type of flash memory. In a NAND flash memory,…

Information Theory · Computer Science 2009-11-23 Anxiao , Jiang , Robert Mateescu , Eitan Yaakobi , Jehoshua Bruck , Paul H. Siegel , Alexander Vardy , Jack K. Wolf
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