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相关论文: Repairing Generalized Reed-Muller Codes

200 篇论文

Minimum storage regenerating (MSR) codes, with the MDS property and the optimal repair bandwidth, are widely used in distributed storage systems (DSS) for data recovery. In this paper, we consider the construction of $(n,k,l)$ MSR codes in…

信息论 · 计算机科学 2023-09-28 Shenghua Li , Maximilien Gadouleau , Jiaojiao Wang , Dabin Zheng

This paper studies the problem of repairing secret sharing schemes, i.e., schemes that encode a message into $n$ shares, assigned to $n$ nodes, so that any $n-r$ nodes can decode the message but any colluding $z$ nodes cannot infer any…

信息论 · 计算机科学 2017-06-05 Wentao Huang , Jehoshua Bruck

We generalize the problem of recovering a lost/erased symbol in a Reed-Solomon code to the scenario in which some side information about the lost symbol is known. The side information is represented as a set $S$ of linearly independent…

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…

信息论 · 计算机科学 2009-09-05 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

In this paper, the repair problem for erasures beyond locality in locally repairable codes is explored under a practical system setting, where a rack-aware storage system consists of racks, each containing a few parity checks. This is…

信息论 · 计算机科学 2024-07-29 Han Cai , Ying Miao , Moshe Schwartz , Xiaohu Tang

This paper presents a new explicit construction for locally repairable codes (LRCs) for distributed storage systems which possess all-symbols locality and maximal possible minimum distance, or equivalently, can tolerate the maximal number…

信息论 · 计算机科学 2013-01-29 Natalia Silberstein , Ankit Singh Rawat , O. Ozan Koyluoglu , Sriram Vishwanath

In a modern distributed storage system, storage nodes are organized in racks, and the cross-rack communication dominates the system bandwidth. In We study the rack-aware storage system where all storage nodes are organized in racks and…

信息论 · 计算机科学 2022-07-18 Liyang Zhou , Zhifang Zhang

We consider a set up where a file of size M is stored in n distributed storage nodes, using an (n,k) minimum storage regenerating (MSR) code, i.e., a maximum distance separable (MDS) code that also allows efficient exact-repair of any…

信息论 · 计算机科学 2010-04-27 Viveck R. Cadambe , Syed A. Jafar , Hamed Maleki

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 distributed storage systems, locally repairable codes (LRCs) are introduced to realize low disk I/O and repair cost. In order to tolerate multiple node failures, the LRCs with \emph{$(r, \delta)$-locality} are further proposed. Since hot…

信息论 · 计算机科学 2017-05-03 Bin Chen , Shu-Tao Xia , Jie Hao

We introduce the Fixed Cluster Repair System (FCRS) as a novel architecture for Distributed Storage Systems (DSS), achieving a small repair bandwidth while guaranteeing a high availability. Specifically we partition the set of servers in a…

信息论 · 计算机科学 2019-03-06 Saeid Sahraei , Michael Gastpar

We continue our study of regenerating codes in distributed storage systems where connections between the nodes are constrained by a graph. In this problem, the failed node downloads the information stored at a subset of vertices of the…

信息论 · 计算机科学 2022-11-03 Adway Patra , Alexander Barg

In this paper, we introduce a model of a distributed storage system that is locally recoverable from any single server failure. Unlike the usual local recovery model of codes for distributed storage, this model accounts for the fact that…

信息论 · 计算机科学 2020-07-01 Arya Mazumdar

We investigate the problem of privately recovering a single erasure for Reed-Solomon codes with low communication bandwidths. For an $[n,k]_{q^\ell}$ code with $n-k\geq q^{m}+t-1$, we construct a repair scheme that allows a client to…

信息论 · 计算机科学 2024-05-13 Stanislav Kruglik , Han Mao Kiah , Son Hoang Dau , Eitan Yaakobi

Distributed storage systems are mainly justified due to the limited amount of storage capacity and improving the reliability through distributing data over multiple storage nodes. On the other hand, it may happen the data is stored in…

信息论 · 计算机科学 2010-04-15 Soroush Akhlaghi , Abbas Kiani , Mohammad Reza Ghanavati

Using the idea of interference alignment, Suh and Ramchandran constructed a class of minimum-storage regenerating codes which can repair one systematic or one parity-check node with optimal repair bandwidth. With the same code structure, we…

信息论 · 计算机科学 2013-05-15 Junyu Chen , Kenneth W. Shum

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

We consider distributed storage (DS) for a wireless network where mobile devices arrive and depart according to a Poisson random process. Content is stored in a number of mobile devices, using an erasure correcting code. When requesting a…

信息论 · 计算机科学 2016-01-05 Jesper Pedersen , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

Modern large-scale distributed storage systems use erasure codes to protect against node failures with low storage overhead. In practice, the failure rate and other factors of storage devices in the system may vary significantly over time,…

信息论 · 计算机科学 2023-08-15 Xiangliang Kong

This paper aims to go beyond resilience into the study of security and local-repairability for distributed storage systems (DSS). Security and local-repairability are both important as features of an efficient storage system, and this paper…

信息论 · 计算机科学 2016-11-17 Ankit Singh Rawat , O. Ozan Koyluoglu , Natalia Silberstein , Sriram Vishwanath