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In a distributed storage system based on erasure coding, an important problem is the \emph{repair problem}: If a node storing a coded piece fails, in order to maintain the same level of reliability, we need to create a new encoded piece and…

信息论 · 计算机科学 2016-11-17 Yunnan Wu

MDS codes are erasure-correcting codes that can correct the maximum number of erasures for a given number of redundancy or parity symbols. If an MDS code has $r$ parities and no more than $r$ erasures occur, then by transmitting all the…

信息论 · 计算机科学 2014-11-25 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

In this paper, a new repair scheme for a modified construction of MDS codes is studied. The obtained repair scheme has optimal bandwidth for multiple failed nodes under the cooperative repair model. In addition, the repair scheme has…

信息论 · 计算机科学 2022-01-19 Xing Lin , Han Cai , Xiaohu Tang

Cooperative MSR codes are a kind of storage codes which enable optimal-bandwidth repair of any $h\geq2$ node erasures in a cooperative way, while retaining the minimum storage as an $[n,k]$ MDS code. Each code coordinate (node) is assumed…

信息论 · 计算机科学 2026-01-15 Yaqian Zhang , Jingke Xu

Fast and efficient failure recovery is a new challenge for cloud storage systems with a large number of storage nodes. A pivotal recovery metric upon the failure of a storage node is repair bandwidth cost which refers to the amount of data…

信息论 · 计算机科学 2016-05-24 Mahdi Hajiaghayi , Hamid Jafarkhani

Maximum distance separable (MDS) codes facilitate the achievement of elevated levels of fault tolerance in storage systems while incurring minimal redundancy overhead. Reed-Solomon (RS) codes are typical MDS codes with the sub-packetization…

信息论 · 计算机科学 2024-05-07 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

Fractional repetition (FR) codes are a class of repair efficient erasure codes that can recover a failed storage node with both optimal repair bandwidth and complexity. In this paper, we study the minimum distance of FR codes, which is the…

信息论 · 计算机科学 2020-05-15 Bing Zhu , Kenneth W. Shum , Weiping Wang , Jianxin Wang

In large-scale distributed storage systems, erasure codes are used to achieve fault tolerance in the face of node failures. Tuning code parameters to observed failure rates has been shown to significantly reduce storage cost. Such tuning of…

信息论 · 计算机科学 2020-06-05 Francisco Maturana , V. S. Chaitanya Mukka , K. V. Rashmi

The minimum storage rack-aware regenerating (MSRR) code is a variation of regenerating codes that achieves the optimal repair bandwidth for a single node failure in the rack-aware model. The authors in~\cite{Chen-Barg2019}…

信息论 · 计算机科学 2021-09-20 Jiaojiao Wang , Dabin Zheng , Shenghua Li

MDS 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 $r$ node erasures by accessing all the remaining information…

信息论 · 计算机科学 2016-03-04 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

It is well known that an (n,k) code can be used to store 'k' units of information in 'n' unit-capacity disks of a distributed data storage system. If the code used is maximum distance separable (MDS), then the system can tolerate any (n-k)…

信息论 · 计算机科学 2011-06-08 Viveck R. Cadambe , Cheng Huang , Syed A. Jafar , Jin Li

Minimum storage regenerating (MSR) codes are a class of maximum distance separable (MDS) array codes capable of repairing any single failed node by downloading the minimum amount of information from each of the helper nodes. However, MSR…

信息论 · 计算机科学 2024-08-30 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

Erasure codes have become an integral part of distributed storage systems as a tool for providing data reliability and durability under the constant threat of device failures. In such systems, an $[n, k]$ code over a finite field…

信息论 · 计算机科学 2020-08-31 Francisco Maturana , K. V. Rashmi

Distributed storage codes have important applications in the design of modern storage systems. In a distributed storage system, every storage node has a probability to fail and once an individual storage node fails, it must be reconstructed…

信息论 · 计算机科学 2016-10-27 Chong Shangguan , Gennian Ge

This paper describes a non-homogeneous distributed storage systems (DSS), where there is one super node which has a larger storage size and higher reliability and availability than the other storage nodes. We propose three distributed…

信息论 · 计算机科学 2012-08-13 Vo Tam Van , Chau Yuen , Jing Li

Recent advances in erasure coding for distributed storage systems have demonstrated that adapting redundancy to varying disk failure rates can lead to substantial storage savings. Such adaptation requires code conversion, wherein data…

信息论 · 计算机科学 2025-11-18 Shubhransh Singhvi , Saransh Chopra , K. V. Rashmi

In this paper, we consider the update bandwidth in distributed storage systems~(DSSs). The update bandwidth, which measures the transmission efficiency of the update process in DSSs, is defined as the total amount of data symbols…

信息论 · 计算机科学 2020-05-26 Zhengrui Li , Sian-Jheng Lin , Po-Ning Chen , Yunghsiang S. Han , Hanxu Hou

In distributed storage systems that use coding, the issue of minimizing the communication required to rebuild a storage node after a failure arises. We consider the problem of repairing an erased node in a distributed storage system that…

信息论 · 计算机科学 2010-09-20 Zhiying Wang , Alexandros G. Dimakis , Jehoshua Bruck

EVENODD+ codes are binary maximum distance separable (MDS) array codes for correcting double disk failures in RAID-6 with asymptotically optimal encoding/decoding/update complexities. However, the number of bits stored in each disk of…

信息论 · 计算机科学 2024-05-01 Panyu Zhu

In large-scale distributed storage systems, erasure coding is employed to ensure reliability against disk failures. Recent work by Kadekodi et al. demonstrates that adapting code parameters to varying disk failure rates can lead to…

信息论 · 计算机科学 2025-08-11 Vinayak Ramkumar , Xiangliang Kong , G. Yeswanth Sai , Myna Vajha , M. Nikhil Krishnan