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Locally repairable codes (LRCs) were originally introduced to enable efficient recovery from erasures in distributed storage systems by accessing only a small number of other symbols. While their structural properties-such as bounds and…

Information Theory · Computer Science 2026-02-23 Hoang Ly , Emina Soljanin , Philip Whiting

An [n, k] linear code C that is subject to locality constraints imposed by a parity check matrix H0 is said to be a maximally recoverable (MR) code if it can recover from any erasure pattern that some k-dimensional subcode of the null space…

Information Theory · Computer Science 2015-01-29 S. B. Balaji , P. Vijay Kumar

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

Distributed storage systems that deploy erasure codes can provide better features such as lower storage overhead and higher data reliability. In this paper, we focus on fractional repetition (FR) codes, which are a class of storage codes…

Information Theory · Computer Science 2020-05-15 Bing Zhu , Kenneth W. Shum , Hui Li

For a systematic erasure code, update complexity (UC) is defined as the maximum number of parity blocks needed to be changed when some information blocks are updated. Locally repairable codes (LRCs) have been recently proposed and used in…

Information Theory · Computer Science 2016-07-18 Mehrtash Mehrabi , Mostafa Shahabinejad , Masoud Ardakani , Majid Khabbazian

Erasure coding is widely used for massive storage in data centers to achieve high fault tolerance and low storage redundancy. Since the cross-rack communication cost is often high, it is critical to design erasure codes that minimize the…

Information Theory · Computer Science 2019-02-26 Hanxu Hou , Patrick P. C. Lee , Kenneth W. Shum , Yuchong Hu

Streaming codes are a class of packet-level erasure codes that are designed with the goal of ensuring recovery in low-latency fashion, of erased packets over a communication network. It is well-known in the streaming code literature, that…

Information Theory · Computer Science 2021-09-08 Vinayak Ramkumar , Myna Vajha , P. Vijay Kumar

Regenerating code is a class of code very suitable for distributed storage systems, which can maintain optimal bandwidth and storage space. Two types of important regenerating code have been constructed: the minimum storage regeneration…

Information Theory · Computer Science 2015-11-10 Jian Li , Tongtong Li , Jian Ren

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

Erasure coding has been recognized as a powerful method to mitigate delays due to slow or straggling nodes in distributed systems. This work shows that erasure coding of data objects can flexibly handle skews in the request rates. Coding…

Information Theory · Computer Science 2021-06-29 Mehmet Aktas , Gauri Joshi , Swanand Kadhe , Fatemeh Kazemi , Emina Soljanin

Locally repairable convolutional codes (LRCCs) for distributed storage systems (DSSs) are introduced in this work. They enable local repair, for a single node erasure (or more generally, $ \partial - 1 $ erasures per local group), and…

Information Theory · Computer Science 2020-12-08 Umberto Martínez-Peñas , Diego Napp

Locally recoverable codes are widely used in distributed and cloud storage systems. The objective of this paper is to present a construction of near MDS codes with oval polynomials and then determine the locality of the codes. It turns out…

Information Theory · Computer Science 2022-04-27 Xiaoru Li , Ziling Heng

Scientific computing workflows generate enormous distributed data that is short-lived, yet critical for job completion time. This class of data is called intermediate data. A common way to achieve high data availability is to replicate…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-14 Zhe Zhang , Brian Bockelman , Derek Weitzel , David Swanson

Erasure codes provide a storage efficient alternative to replication based redundancy in (networked) storage systems. They however entail high communication overhead for maintenance, when some of the encoded fragments are lost and need to…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-24 Frederique Oggier , Anwitaman Datta

Locally repairable codes (LRCs), which can recover any symbol of a codeword by reading only a small number of other symbols, have been widely used in real-world distributed storage systems, such as Microsoft Azure Storage and Ceph Storage…

Information Theory · Computer Science 2023-10-17 Wenqin Zhang , Deng Tang , Chenhao Ying , Yuan Luo

Repair locality is a desirable property for erasure codes in distributed storage systems. Recently, different structures of local repair groups have been proposed in the definitions of repair locality. In this paper, the concept of…

Information Theory · Computer Science 2014-10-20 Anyu Wang , Zhifang Zhang

Locally recoverable codes deal with the task of reconstructing a lost symbol by relying on a portion of the remaining coordinates smaller than an information set. We consider the case of codes over finite chain rings, generalizing known…

Information Theory · Computer Science 2024-01-11 Giulia Cavicchioni , Eleonora Guerrini , Alessio Meneghetti

Classical locally recoverable codes, which permit highly efficient recovery from localized errors as well as global recovery from larger errors, provide some of the most useful codes for distributed data storage in practice. In this paper,…

Quantum Physics · Physics 2023-11-16 Louis Golowich , Venkatesan Guruswami

In this paper, we introduce a model of a distributed storage system that is locally recoverable from any single server failure. Unlike the usual local recovery model of codes for distributed storage, this model accounts for the fact that…

Information Theory · Computer Science 2020-07-01 Arya Mazumdar

Locally recoverable (LRC) codes provide a solution to single node failure in distributed storage systems, where it is a very common problem. On the other hand, linear complementary dual (LCD) codes are useful in fault injections attacks on…

Information Theory · Computer Science 2020-11-09 Charul Rajput , Maheshanand Bhaintwal , Ramakrishna Bandi
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