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When a node in a distributed storage system fails, it needs to be promptly repaired to maintain system integrity. While typical erasure codes can provide a significant storage advantage over replication, they suffer from poor repair…

信息论 · 计算机科学 2018-07-10 Geonu Kim , Jungwoo Lee

We propose locally rewritable codes (LWC) for resistive memories inspired by locally repairable codes (LRC) for distributed storage systems. Small values of repair locality of LRC enable fast repair of a single failed node since the lost…

Distributed storage systems for large-scale applications typically use replication for reliability. Recently, erasure codes were used to reduce the large storage overhead, while increasing data reliability. A main limitation of…

信息论 · 计算机科学 2014-05-06 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Locally repairable codes (LRCs) are considered with equal or unequal localities, local distances and local field sizes. An explicit two-layer architecture with a sum-rank outer code is obtained, having disjoint local groups and achieving…

信息论 · 计算机科学 2019-04-25 Umberto Martínez-Peñas , Frank R. Kschischang

The locally repairable codes (LRCs) were introduced to correct erasures efficiently in distributed storage systems. LRCs are extensively studied recently. In this paper, we first deal with the open case remained in \cite{q} and derive an…

信息论 · 计算机科学 2015-06-17 Jun Zhang , Xin Wang , Gennian Ge

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…

信息论 · 计算机科学 2016-07-18 Mehrtash Mehrabi , Mostafa Shahabinejad , Masoud Ardakani , Majid Khabbazian

Locally repairable codes (LRCs) are ingeniously designed distributed storage codes with a (usually small) fixed set of helper nodes participating in repair. Since most existing LRCs assume exact repair and allow full exchange of the stored…

信息论 · 计算机科学 2016-05-06 Imad Ahmad , Chih-Chun Wang

As an important coding scheme in modern distributed storage systems, locally repairable codes (LRCs) have attracted a lot of attentions from perspectives of both practical applications and theoretical research. As a major topic in the…

信息论 · 计算机科学 2021-01-01 Xiangliang Kong , Xin Wang , Gennnian Ge

We investigate one possible generalization of locally recoverable codes (LRC) with all-symbol locality and availability when recovering sets can intersect in a small number of coordinates. This feature allows us to increase the achievable…

信息论 · 计算机科学 2017-06-01 Stanislav Kruglik , Marina Dudina , Valeriya Potapova , Alexey Frolov

A linear block code with dimension $k$, length $n$, and minimum distance $d$ is called a locally repairable code (LRC) with locality $r$ if it can retrieve any coded symbol by at most $r$ other coded symbols. LRCs have been recently…

信息论 · 计算机科学 2017-01-25 Mostafa Shahabinejad , Majid Khabbazian , Masoud Ardakani

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,…

信息论 · 计算机科学 2023-07-11 Jing Qiu , Fang-Wei Fu

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…

信息论 · 计算机科学 2017-05-03 Bin Chen , Shu-Tao Xia , Jie Hao

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,…

量子物理 · 物理学 2023-11-16 Louis Golowich , Venkatesan Guruswami

Motivated by applications in distributed storage, the notion of a locally recoverable code (LRC) was introduced a few years back. In an LRC, any coordinate of a codeword is recoverable by accessing only a small number of other coordinates.…

信息论 · 计算机科学 2023-08-01 Arya Mazumdar

Distributed and cloud storage systems are used to reliably store large-scale data. Erasure codes have been recently proposed and used in real-world distributed and cloud storage systems such as Google File System, Microsoft Azure Storage,…

信息论 · 计算机科学 2017-09-08 Mehrtash Mehrabi , Massoud Ardakani

Locally repairable codes (LRCs) are error correcting codes used in distributed data storage. A traditional approach is to look for codes which simultaneously maximize error tolerance and minimize storage space consumption. However, this…

信息论 · 计算机科学 2015-12-21 Antti Pöllänen

Petabyte-scale distributed storage systems are currently transitioning to erasure codes to achieve higher storage efficiency. Classical codes like Reed-Solomon are highly sub-optimal for distributed environments due to their high overhead…

信息论 · 计算机科学 2013-11-07 Itzhak Tamo , Dimitris S. Papailiopoulos , Alexandros G. Dimakis

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…

信息论 · 计算机科学 2026-02-23 Hoang Ly , Emina Soljanin , Philip Whiting

Embodied vision-based real-world systems, such as mobile robots, require a careful balance between energy consumption, compute latency, and safety constraints to optimize operation across dynamic tasks and contexts. As local computation…

Locally repairable codes (LRCs) are a class of codes designed for the local correction of erasures. They have received considerable attention in recent years due to their applications in distributed storage. Most existing results on LRCs do…

信息论 · 计算机科学 2015-11-24 Pengfei Huang , Eitan Yaakobi , Hironori Uchikawa , Paul H. Siegel
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