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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

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…

Information Theory · Computer Science 2023-01-02 Adel Elmahdy , Michelle Kleckler , Soheil Mohajer

We consider the $(n,k,d,\ell)$ secure exact-repair regenerating code problem, which generalizes the $(n,k,d)$ exact-repair regenerating code problem with the additional constraint that the stored file needs to be kept…

Information Theory · Computer Science 2017-01-12 Shuo Shao , Tie Liu , Chao Tian , Cong Shen

Data availability is critical in distributed storage systems, especially when node failures are prevalent in real life. A key requirement is to minimize the amount of data transferred among nodes when recovering the lost or unavailable data…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Runhui Li , Jian Lin , Patrick P. C. Lee

Self-Repairing Codes (SRC) are codes designed to suit the need of coding for distributed networked storage: they not only allow stored data to be recovered even in the presence of node failures, they also provide a repair mechanism where as…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-03 Frederique Oggier , Anwitaman Datta

MDS array codes are widely used in storage systems to protect data against erasures. We address the \emph{rebuilding ratio} problem, namely, in the case of erasures, what is the fraction of the remaining information that needs to be…

Information Theory · Computer Science 2016-11-17 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable…

Information Theory · Computer Science 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

We propose a generic transformation that can convert any nonbinary $(n=k+r,k)$ maximum distance separable (MDS) code into another $(n,k)$ MDS code over the same field such that 1) some arbitrarily chosen $r$ nodes have the optimal repair…

Information Theory · Computer Science 2018-08-24 Jie Li , Xiaohu Tang , Chao Tian

In this paper, we propose locally repairable codes (LRCs) with optimal minimum distance for distributed storage systems (DSS). A two-layer encoding structure is employed to ensure data reconstruction and the designated repair locality. The…

Information Theory · Computer Science 2014-08-15 Hongmei Xie , Zhiyuan Yan

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…

Information Theory · Computer Science 2018-07-10 Geonu Kim , Jungwoo Lee

In the context of distributed storage systems, locally repairable codes have become important. In this paper we focus on codes that allow for multi-erasure pattern decoding with low computational effort. Different optimality requirements,…

Information Theory · Computer Science 2025-04-16 Margreta Kuijper , Julia Lieb , Diego Napp

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…

Information Theory · Computer Science 2014-05-06 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

MDS array codes are widely used in storage systems to protect data against erasures. We address the \emph{rebuilding ratio} problem, namely, in the case of erasures, what is the the fraction of the remaining information that needs to be…

Information Theory · Computer Science 2011-03-22 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

High availability of containerized applications requires to perform robust storage of applications' state. Since basic replication techniques are extremely costly at scale, storage space requirements can be reduced by means of erasure or…

Information Theory · Computer Science 2017-11-09 Francesco De Pellegrini , Rachid El Azouzi , Alonso Silva , and Olfa Hassani

Erasure codes are being increasingly used in distributed-storage systems in place of data-replication, since they provide the same level of reliability with much lower storage overhead. We consider the problem of constructing explicit…

Information Theory · Computer Science 2015-09-08 Preetum Nakkiran , K. V. Rashmi , Kannan Ramchandran

The repair problem in distributed storage addresses recovery of the data encoded using an erasure code, for instance, a Reed-Solomon (RS) code. We consider the problem of repairing a single node or multiple nodes in RS-coded storage systems…

Information Theory · Computer Science 2018-05-07 Itzhak Tamo , Min Ye , Alexander Barg

In this paper, we study distributed storage problems over unidirectional ring networks. A lower bound on the reconstructing bandwidth to recover total original data for each user is proposed, and it is achievable for arbitrary parameters.…

Information Theory · Computer Science 2014-01-22 Jiyong Lu , Xuan Guang , Fang-Wei Fu

The {\em repair locality} of a distributed storage code is the maximum number of nodes that ever needs to be contacted during the repair of a failed node. Having small repair locality is desirable, since it is proportional to the number of…

Information Theory · Computer Science 2013-01-21 Henk D. L. Hollmann

An $(n, k, d, \alpha, \beta, M)$-ERRC (exact-repair regenerating code) is a collection of $n$ nodes used to store a file. For a file of total size $M$, each node stores $\alpha$ symbols, any $k$ nodes recover the file, and any $d$ nodes…

Information Theory · Computer Science 2022-01-07 Iwan Duursma , Xiao Li , Hsin-Po Wang

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