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Regenerating codes are a class of codes proposed for providing reliability of data and efficient repair of failed nodes in distributed storage systems. In this paper, we address the fundamental problem of handling errors and erasures during…

信息论 · 计算机科学 2015-03-20 K. V. Rashmi , Nihar B. Shah , Kannan Ramchandran , P. Vijay Kumar

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…

信息论 · 计算机科学 2013-01-22 Hongmei Xie , Zhiyuan Yan

Partial maximum distance separable (PMDS) codes are a kind of erasure codes where the nodes are divided into multiple groups with each forming an MDS code with a smaller code length, thus they allow repairing a failed node with only a few…

信息论 · 计算机科学 2022-11-15 Jie Li , Xiaohu Tang , Hanxu Hou , Yunghsiang S. Han , Bo Bai , Gong Zhang

The information-theoretic secure exact-repair regenerating codes for distributed storage systems (DSSs) with parameters $(n,k=d,d,\ell)$ are studied in this paper. We consider distributed storage systems with $n$ nodes, in which the…

信息论 · 计算机科学 2023-01-02 Adel Elmahdy , Michelle Kleckler , Soheil Mohajer

Maximum-distance separable (MDS) convolutional codes form an optimal family of convolutional codes, the study of which is of great importance. There are very few general algebraic constructions of MDS convolutional codes. In this paper, we…

信息论 · 计算机科学 2015-11-24 Chin Hei Chan , Maosheng Xiong

Distributed storage systems based on equidistant constant dimension codes are presented. These equidistant codes are based on the Pl\"{u}cker embedding, which is essential in the repair and the reconstruction algorithms. These systems…

信息论 · 计算机科学 2014-06-25 Netanel Raviv , Tuvi Etzion

This paper studies the design of codes for distributed storage systems (DSS) that enable local repair in the event of node failure. This paper presents locally repairable codes based on low degree multivariate polynomials. Its code…

信息论 · 计算机科学 2012-04-30 Ankit Singh Rawat , Sriram Vishwanath

In this paper, we study distributed storage problems over unidirectional ring networks, whose storage nodes form a directed ring and data is transmitted along the same direction. The original data is distributed to store on these nodes.…

信息论 · 计算机科学 2014-04-15 Jiyong Lu , Xuan Guang , Fang-Wei Fu

We consider the locality of encoding and decoding operations in distributed storage systems (DSS), and propose a new class of codes, called locally encodable and decodable codes (LEDC), that provides a higher degree of operational locality…

信息论 · 计算机科学 2015-04-21 Son Hoang Dau , Han Mao Kiah , Wentu Song , Chau Yuen

For high-rate maximum distance separable (MDS) codes, most of them are designed to optimally repair a single failed node by connecting all the surviving nodes. However, in practical systems, sometimes not all the surviving nodes are…

信息论 · 计算机科学 2021-07-22 Yi Liu , Jie Li , Xiaohu Tang

Network codes designed specifically for distributed storage systems have the potential to provide dramatically higher storage efficiency for the same availability. One main challenge in the design of such codes is the exact repair problem:…

信息论 · 计算机科学 2011-09-02 Dimitris S. Papailiopoulos , Jianqiang Luo , Alexandros G. Dimakis , Cheng Huang , Jin Li

We consider the problem of designing [n; k] linear codes for distributed storage systems (DSS) that satisfy the (r, t)-Local Repair Property, where any t'(<=t) simultaneously failed nodes can be locally repaired, each with locality r. The…

信息论 · 计算机科学 2015-07-30 Wentu Song , Chau Yuen

Maximum distance separable (MDS) codes have the optimal trade-off between storage efficiency and fault tolerance, which are widely used in distributed storage systems. As typical non-MDS codes, simple regenerating codes (SRCs) can achieve…

信息论 · 计算机科学 2023-09-06 Zhengyi Jiang , Hao Shi , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

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)…

信息论 · 计算机科学 2011-07-11 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

$\epsilon$-Minimum Storage Regenerating ($\epsilon$-MSR) codes form a special class of Maximum Distance Separable (MDS) codes, providing mechanisms for exact regeneration of a single code block in their codewords by downloading slighly…

信息论 · 计算机科学 2018-07-04 Venkatesan Guruswami , Satyanarayana V. Lokam , Sai Vikneshwar Mani Jayaraman

A $(k+r,k,l)$ binary array code of length $k+r$, dimension $k$, and sub-packetization $l$ is composed of $l\times(k+r)$ matrices over $\mathbb{F}_2$, with every column of the matrix stored on a separate node in the distributed storage…

信息论 · 计算机科学 2025-11-13 Lan Ma , Qifu Tyler Sun , Shaoteng Liu , Liyang Zhou

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…

信息论 · 计算机科学 2020-02-07 Han Cai , Moshe Schwartz

Accessing the data in the failed disk (degraded read) with low latency is crucial for an erasure-coded storage system. In this work, the maximum distance separable (MDS) array code with the property of degraded-read friendly (DRF) is…

信息论 · 计算机科学 2021-02-05 Ting-Yi Wu , Yunghsiang S. Han , Zhengrui Li , Bo Bai , Gong Zhang , Liang Chen , Xiang Wu

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.…

信息论 · 计算机科学 2015-03-19 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar

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…

信息论 · 计算机科学 2016-02-08 Ninoslav Marina , Aneta Velkoska , Natasa Paunkoska