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Maximum distance separable (MDS) array codes constitute an important class of error-correcting codes due to their optimal distance properties and their relevance in distributed storage systems. In this paper, we investigate the construction…

In this paper, we prove that with high probability, random Reed-Solomon codes approach the half-Singleton bound - the optimal rate versus error tradeoff for linear insdel codes - with linear-sized alphabets. More precisely, we prove that,…

Information Theory · Computer Science 2024-07-11 Roni Con , Zeyu Guo , Ray Li , Zihan Zhang

The yearly global production of data is growing exponentially, outpacing the capacity of existing storage media, such as tape and disk, and surpassing our ability to store it. DNA storage - the representation of arbitrary information as…

Quantitative Methods · Quantitative Biology 2023-10-04 Thomas Heinis , Roman Sokolovskii , Jamie J. Alnasir

Living in the age of the digital media explosion, the amount of data that is being stored increases dramatically. However, even if existing storage systems suggest efficiency in capacity, they are lacking in durability. Hard disks, flash,…

Image and Video Processing · Electrical Eng. & Systems 2019-04-08 Melpomeni Dimopoulou , Marc Antonini , Pascal Barbry , Raja Appuswamy

DNA is a promising storage medium, but its stability and occurrence of Indel errors pose a significant challenge. The relative occurrence of Guanine(G) and Cytosine(C) in DNA is crucial for its longevity, and reverse complementary base…

Information Theory · Computer Science 2024-01-15 NallappaBhavithran G , Selvakumar R

Fast and efficient failure recovery is a new challenge for cloud storage systems with a large number of storage nodes. A pivotal recovery metric upon the failure of a storage node is repair bandwidth cost which refers to the amount of data…

Information Theory · Computer Science 2016-05-24 Mahdi Hajiaghayi , Hamid Jafarkhani

Erasure codes are increasingly being studied in the context of implementing atomic memory objects in large scale asynchronous distributed storage systems. When compared with the traditional replication based schemes, erasure codes have the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-15 Kishori M. Konwar , N. Prakash , Erez Kantor , Nancy Lynch , Muriel Medard , Alexander A. Schwarzmann

Motivated by applications of distributed storage systems to cloud-based key-value stores, the multi-version coding problem has been recently formulated to efficiently store frequently updated data in asynchronous decentralized storage…

Information Theory · Computer Science 2019-03-12 Ramy E. Ali , Viveck Cadambe

Coding for distributed storage gives rise to a new set of problems in coding theory related to the need of reducing inter-node communication in the system. A large number of recent papers addressed the problem of optimizing the total amount…

Information Theory · Computer Science 2017-06-02 Itzhak Tamo , Min Ye , Alexander Barg

In the modern era of large-scale computing systems, a crucial use of error correcting codes is to judiciously introduce redundancy to ensure recoverability from failure. To get the most out of every byte, practitioners and theorists have…

Information Theory · Computer Science 2026-02-26 Joshua Brakensiek , Venkatesan Guruswami

In this paper, we consider the convertible codes with the maximum distance separable (MDS) property, which can adjust the code rate according to the failure rates of devices. We first extend the notion of convertible codes to allow initial…

Information Theory · Computer Science 2024-07-22 Songping Ge , Han Cai , Xiaohu Tang

In this paper we address issues of reliability of RAID systems. We focus on "big data" systems with a large number of drives and advanced error correction schemes beyond \RAID{6}. Our RAID paradigm is based on Reed-Solomon codes, and thus…

Performance · Computer Science 2012-02-21 Sarah Edge Mann , Michael Anderson , Marek Rychlik

This initial version of this document was written back in 2014 for the sole purpose of providing fundamentals of reliability theory as well as to identify the theoretical types of machinery for the prediction of durability/availability of…

Performance · Computer Science 2023-01-24 Suayb S. Arslan

DNA synthesis is considered as one of the most expensive components in current DNA storage systems. In this paper, focusing on a common synthesis machine, which generates multiple DNA strands in parallel following a fixed supersequence,we…

Information Theory · Computer Science 2025-05-13 Yajuan Liu , Tolga M. Duman

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

Recently, a number of authors have proposed decoding schemes for Reed-Solomon (RS) codes based on multiple trials of a simple RS decoding algorithm. In this paper, we present a rate-distortion (R-D) approach to analyze these…

Information Theory · Computer Science 2009-08-21 Phong S. Nguyen , Henry D. Pfister , Krishna R. Narayanan

A passive adversary can eavesdrop stored content or downloaded content of some storage nodes, in order to learn illegally about the file stored across a distributed storage system (DSS). Previous work in the literature focuses on code…

Information Theory · Computer Science 2014-02-19 Son Hoang Dau , Wentu Song , Chau Yuen

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

We consider the problem of efficient recovery of the data stored in any individual node of a distributed storage system, from the rest of the nodes. Applications include handling failures and degraded reads. We measure efficiency in terms…

Information Theory · Computer Science 2016-11-15 Nihar B. Shah

MDS self-dual codes over finite fields have attracted a lot of attention in recent years by their theoretical interests in coding theory and applications in cryptography and combinatorics. In this paper we present a series of MDS self-dual…

Information Theory · Computer Science 2019-11-14 Aixian Zhang , Keqin Feng