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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…

Information Theory · Computer Science 2017-01-25 Mostafa Shahabinejad , Majid Khabbazian , Masoud Ardakani

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…

Information Theory · Computer Science 2015-11-24 Pengfei Huang , Eitan Yaakobi , Hironori Uchikawa , Paul H. Siegel

The rack-aware storage model improves repair efficiency by exploiting locality within racks to minimize cross-rack traffic in a distributed storage system. While the partially cooperative repair model presents a solution for multiple node…

Information Theory · Computer Science 2025-09-30 Hengming Zhao , Dianhua Wu , Minquan Cheng

This paper considers a distributed storage system, where multiple storage nodes can be reconstructed simultaneously at a centralized location. This centralized multi-node repair (CMR) model is a generalization of regenerating codes that…

Information Theory · Computer Science 2016-03-16 Ankit Singh Rawat , O. Ozan Koyluoglu , Sriram Vishwanath

We address the problem of securing distributed storage systems against passive eavesdroppers that can observe a limited number of storage nodes. An important aspect of these systems is node failures over time, which demand a repair…

Information Theory · Computer Science 2016-11-18 Sameer Pawar , Salim El Rouayheb , Kannan Ramchandran

Maximum distance separable (MDS) codes are widely used in distributed storage systems as they provide optimal fault tolerance for a given amount of storage overhead. The seminal work of Dimakis~\emph{et al.} first established a lower bound…

Information Theory · Computer Science 2026-03-24 Zihao Zhang , Guodong Li , Sihuang Hu

The distributed data storage systems are constructed by large number of nodes which are interconnected over a network. Each node in such peer-to-peer network is vulnerable and at a potential risk for attack. The attackers can eavesdrop the…

Information Theory · Computer Science 2016-02-08 Ninoslav Marina , Aneta Velkoska , Natasa Paunkoska

Regenerating codes are a class of codes for distributed storage networks that provide reliability and availability of data, and also perform efficient node repair. Another important aspect of a distributed storage network is its security.…

Information Theory · Computer Science 2015-03-19 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar

In modern practical data centers, storage nodes are usually organized into equally sized groups, which is called racks. The cost of cross-rack communication is much more expensive compared with the intra-rack communication cost. The codes…

Information Theory · Computer Science 2019-11-20 Lingfei Jin , Gaojun Luo , Chaoping Xing

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

We consider private information retrieval (PIR) for distributed storage systems (DSSs) with noncolluding nodes where data is stored using a non maximum distance separable (MDS) linear code. It was recently shown that if data is stored using…

Information Theory · Computer Science 2018-09-19 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat

Node failures are inevitable in distributed storage systems (DSS). To enable efficient repair when faced with such failures, two main techniques are known: Regenerating codes, i.e., codes that minimize the total repair bandwidth; and codes…

In this paper, we propose two new constructions of exact-repair minimum storage regenerating (exact-MSR) codes. For both constructions, the encoded symbols are obtained by treating the message vector over GF(q) as a linearized polynomial…

Information Theory · Computer Science 2013-01-22 Hongmei Xie , Zhiyuan Yan

MDS (maximum distance separable) array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with r redundancy nodes can correct any r erasures by accessing (reading)…

Information Theory · Computer Science 2011-07-11 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

We consider private information retrieval (PIR) for distributed storage systems (DSSs) with noncolluding nodes where data is stored using a non maximum distance separable (MDS) linear code. It was recently shown that if data is stored using…

Information Theory · Computer Science 2018-08-29 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat

With the prevalence of location-based services (LBSs) supported by advanced positioning technology, there is a dramatic increase in the transmission of high-precision personal geographical data. Malicious use of these sensitive data will…

Cryptography and Security · Computer Science 2017-03-03 Changsha Ma , Zhisheng Yan , Chang Wen Chen

Maximum-distance separable (MDS) array codes with high rate and an optimal repair property were introduced recently. These codes could be applied in distributed storage systems, where they minimize the communication and disk access required…

Information Theory · Computer Science 2013-02-19 Eyal En Gad , Robert Mateescu , Filip Blagojevic , Cyril Guyot , Zvonimir Bandic

In this work, we give locally repairable regenerating code (LRRC) [1]-[3], [5], [6] constructions that can protect the file size promised by the graph analysis of the modified family helper selection (MFHS) scheme [1] at the…

Information Theory · Computer Science 2016-05-06 Imad Ahmad , Chih-Chun Wang

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.…

Information Theory · Computer Science 2023-08-01 Arya Mazumdar

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…

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