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Binary maximum distance separable (MDS) array codes are a special class of erasure codes for distributed storage that not only provide fault tolerance with minimum storage redundancy but also achieve low computational complexity. They are…

Information Theory · Computer Science 2019-06-24 Hanxu Hou , Yunghsiang Han , Patrick P. C. Lee , Yuchong Hu , Hui Li

Regenerating codes are efficient methods for distributed storage in storage networks, where node failures are common. They guarantee low cost data reconstruction and repair through accessing only a predefined number of arbitrarily chosen…

Information Theory · Computer Science 2017-11-09 Kaveh Mahdaviani , Ashish Khisti , Soheil Mohajer

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)…

Information Theory · Computer Science 2011-06-08 Viveck R. Cadambe , Cheng Huang , Syed A. Jafar , Jin Li

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…

Information Theory · Computer Science 2023-09-06 Zhengyi Jiang , Hao Shi , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

This paper investigates the use of redundancy and self repairing against node failures in distributed storage systems, using various strategies. In replication method, access to one replication node is sufficient to reconstruct a lost node,…

Information Theory · Computer Science 2011-10-03 Abbas Kiani , Soroush Akhlaghi

In distributed storage, erasure codes -- like Reed-Solomon Codes -- are often employed to provide reliability. In this setting, it is desirable to be able to repair one or more failed nodes while minimizing the repair bandwidth. In this…

Information Theory · Computer Science 2018-04-20 Jay Mardia , Burak Bartan , Mary Wootters

Modern distributed storage systems apply redundancy coding techniques to stored data. One form of redundancy is based on regenerating codes, which can minimize the repair bandwidth, i.e., the amount of data transferred when repairing a…

Information Theory · Computer Science 2013-01-23 Yuchong Hu , Patrick P. C. Lee , Kenneth W. Shum

Recently, the research on local repair codes is mainly confined to repair the failed nodes within each repair group. But if the extreme cases occur that the entire repair group has failed, the local code stored in the failed group need to…

Information Theory · Computer Science 2016-02-10 Jing Wang , Zhiyuan Yan , Hongmei Xie

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 present two constructions of degraded read friendly (DRF) MDS array codes with two parity nodes and a sub-packetization level of 2 over small finite fields, applicable for any arbitrary code length. The first construction…

Information Theory · Computer Science 2025-10-28 Jie Li , Xiaohu Tang

In coding for distributed storage systems, efficient data reconstruction and repair through accessing a predefined number of arbitrarily chosen storage nodes is guaranteed by regenerating codes. Traditionally, code parameters, specially the…

Information Theory · Computer Science 2018-01-01 Kaveh Mahdaviani , Soheil Mohajer , Ashish Khisti

We consider the setting of data storage across n nodes in a distributed manner. A data collector (DC) should be able to reconstruct the entire data by connecting to any k out of the n nodes and downloading all the data stored in them. When…

Information Theory · Computer Science 2009-09-05 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

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

Distributed storage plays a crucial role in the current cloud computing framework. After the theoretical bound for distributed storage was derived by the pioneer work of the regenerating code, Reed-Solomon code based regenerating codes were…

Cryptography and Security · Computer Science 2015-10-06 Jian Li , Tongtong Li , Jian Ren

We study the performance of Reed-Solomon (RS) codes for the \em exact repair problem \em in distributed storage. Our main result is that, in some parameter regimes, Reed-Solomon codes are optimal regenerating codes, among MDS codes with…

Information Theory · Computer Science 2016-08-10 Venkatesan Guruswami , Mary Wootters

We study the problem of centralized exact repair of multiple failures in distributed storage. We describe constructions that achieve a new set of interior points under exact repair. The constructions build upon the layered code construction…

Information Theory · Computer Science 2018-02-02 Marwen Zorgui , Zhiying Wang

We introduce a new class of exact Minimum-Bandwidth Regenerating (MBR) codes for distributed storage systems, characterized by a low-complexity uncoded repair process that can tolerate multiple node failures. These codes consist of the…

Information Theory · Computer Science 2010-10-14 Salim El Rouayheb , Kannan Ramchandran

An $(n,k)$ maximum distance separable (MDS) code has optimal repair access if the minimum number of symbols accessed from $d$ surviving nodes is achieved, where $k+1\le d\le n-1$. Existing results show that the sub-packetization $\alpha$ of…

Information Theory · Computer Science 2019-07-24 Hanxu Hou , Patrick P. C. Lee , Yunghsiang S. Han

Minimum-Storage Regenerating (MSR) codes have emerged as a viable alternative to Reed-Solomon (RS) codes as they minimize the repair bandwidth while they are still optimal in terms of reliability and storage overhead. Although several MSR…

Information Theory · Computer Science 2020-02-14 Katina Kralevska , Danilo Gligoroski , Rune E. Jensen , Harald Øverby

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…

Information Theory · Computer Science 2016-03-04 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck