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Optimal locally repairable codes with information locality are considered. Optimal codes are constructed, whose length is also order-optimal with respect to a new bound on the code length derived in this paper. The length of the constructed…

Information Theory · Computer Science 2020-02-07 Han Cai , Moshe Schwartz

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

Recently, locally repairable codes (LRCs) with local erasure correction constraints that are unequal and disjoint have been proposed. In this work, we study the same topic and provide some improved and additional results.

Information Theory · Computer Science 2017-04-10 Geonu Kim , Jungwoo Lee

Cloud computing facilitates the access of applications and data from any location by a distributed storage system. Erasure codes offer better data replication technique with reduced storage costs for more reliability. This paper considers…

Information Theory · Computer Science 2021-02-04 Srujan Teja Thomdapu , Ketan Rajawat

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

In distributed storage systems, locally repairable codes (LRCs) are designed to reduce disk I/O and repair costs by enabling recovery of each code symbol from a small number of other symbols. To handle multiple node failures,…

Information Theory · Computer Science 2023-07-11 Jing Qiu , Fang-Wei Fu

Generalized Reed-Solomon (RS) codes are a common choice for efficient, reliable error correction in memory and communications systems. These codes add $2t$ extra parity symbols to a block of memory, and can efficiently and reliably correct…

Information Theory · Computer Science 2024-05-28 Mike Hamburg , Eric Linstadt , Danny Moore , Thomas Vogelsang

Regenerating codes (RCs) can significantly reduce the repair-bandwidth of distributed storage networks. Initially, the analysis of RCs was based on the assumption that during the repair process, the newcomer does not distinguish (among all…

Information Theory · Computer Science 2016-04-29 Imad Ahmad , Chih-Chun Wang

An $(n,k,d)$ cooperative regenerating code provides the optimal-bandwidth repair for any $t~(t\!>\!1)$ node failures in a cooperative way. In particular, an MSCR (minimum storage cooperative regenerating) code retains the same storage…

Information Theory · Computer Science 2018-10-11 Yaqian Zhang , Zhifang Zhang

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

Reliability in distributed storage systems has typically focused on the design and deployment of data replication or erasure coding techniques. Although some scenarios have considered the use of replication for hot data and erasure coding…

Information Theory · Computer Science 2025-11-04 Daniel E. Lucani , Marcell Fehér

In this paper, we provide explicit constructions for a class of exact-repair regenerating codes that possess a layered structure. These regenerating codes correspond to interior points on the storage-repair-bandwidth tradeoff, and compare…

Information Theory · Computer Science 2013-03-12 Birenjith Sasidharan , P. Vijay Kumar

The state of the art in Grid style data management is to achieve increased resilience of data via multiple complete replicas of data files across multiple storage endpoints. While this is effective, it is not the most space-efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-20 Samuel Cadellin Skipsey , Paulin Todev , David Britton , David Crooks , Gareth Roy

Fractional repetition (FR) codes is a family of codes for distributed storage systems (DSS) that allow uncoded exact repairs with minimum repair bandwidth. In this work, we consider a bound on the maximum amount of data that can be stored…

Information Theory · Computer Science 2015-01-22 Natalia Silberstein , Tuvi Etzion

In distributed storage systems, locally repairable codes (LRCs) are introduced to realize low disk I/O and repair cost. In order to tolerate multiple node failures, the LRCs with \emph{$(r, \delta)$-locality} are further proposed. Since hot…

Information Theory · Computer Science 2017-05-03 Bin Chen , Shu-Tao Xia , Jie Hao

We study the problem of erasure correction (node repair) for regenerating codes defined on graphs wherein the cost of transmitting the information to the failed node depends on the graphical distance from this node to the helper vertices of…

Information Theory · Computer Science 2022-01-19 Adway Patra , Alexander Barg

Distributed storage systems are mainly justified due to the limited amount of storage capacity and improving the reliability through distributing data over multiple storage nodes. On the other hand, it may happen the data is stored in…

Information Theory · Computer Science 2010-04-15 Soroush Akhlaghi , Abbas Kiani , Mohammad Reza Ghanavati

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 the fraction of the remaining information that needs to be…

Information Theory · Computer Science 2011-03-22 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

Erasure codes offer an efficient way to decrease storage and communication costs while implementing atomic memory service in asynchronous distributed storage systems. In this paper, we provide erasure-code-based algorithms having the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-22 Kishori M. Konwar , N. Prakash , Nancy Lynch , Muriel Medard

Large-scale systems with arrays of solid state disks (SSDs) have become increasingly common in many computing segments. To make such systems resilient, we can adopt erasure coding such as Reed-Solomon (RS) code as an alternative to…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-20 Sungjoon Koh , Jie Zhang , Miryeong Kwon , Jungyeon Yoon , David Donofrio , Namsung Kim , Myoungsoo Jung
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