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This paper considers a distributed storage system, where multiple storage nodes can be reconstructed simultaneously at a centralized location. This centralized multi-node repair (CMR) model is a generalization of regenerating codes that…

Information Theory · Computer Science 2016-03-16 Ankit Singh Rawat , O. Ozan Koyluoglu , Sriram Vishwanath

In large data centers, storage nodes are organized in racks, and the cross-rack transmission dominates the bandwidth cost. For the repair of single node failures, codes achieving the tradeoff between the storage redundancy and cross-rack…

Information Theory · Computer Science 2022-05-19 Liyang Zhou , Zhifang Zhang

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

In a distributed storage environment, where the data is placed in nodes connected through a network, it is likely that one of these nodes fails. It is known that the use of erasure coding improves the fault tolerance and minimizes the…

Information Theory · Computer Science 2013-05-17 Bernat Gastón , Jaume Pujol , Mercè Villanueva

Regenerating codes allow distributed storage systems to recover from the loss of a storage node while transmitting the minimum possible amount of data across the network. We present a systematic computer search for optimal systematic…

Information Theory · Computer Science 2009-10-14 Daniel Cullina , Alexandros G. Dimakis , Tracey Ho

For general exact repair regenerating codes, the optimal trade-offs between storage size and repair bandwith remain undetermined. Various outer bounds and partial results have been proposed. Using a simple chain rule argument we identify…

Information Theory · Computer Science 2015-05-04 Iwan M. Duursma

Fractional repetition (FR) codes is a family of codes for distributed storage systems that allow for uncoded exact repairs having the minimum repair bandwidth. However, in contrast to minimum bandwidth regenerating (MBR) codes, where a…

Information Theory · Computer Science 2015-01-22 Natalia Silberstein , Tuvi Etzion

We consider the rack-aware storage system where \(n\) nodes are organized in \(\bar{n}\) racks each containing \(u\) nodes, and any \(k\) nodes can retrieve the stored file. Moreover, any single node erasure can be recovered by downloading…

Information Theory · Computer Science 2021-01-22 Zhifang Zhang , Liyang Zhou

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…

Information Theory · Computer Science 2022-01-19 Xing Lin , Han Cai , Xiaohu Tang

Exact-repair regenerating codes are considered for the case (n,k,d)=(4,3,3), for which a complete characterization of the rate region is provided. This characterization answers in the affirmative the open question whether there exists a…

Information Theory · Computer Science 2013-05-14 Chao Tian

The problem of exact repair of a failed node in multi-hop networked distributed storage systems is considered. Contrary to the most of the current studies which model the repair process by the direct links from surviving nodes to the new…

Information Theory · Computer Science 2014-01-14 Majid Gerami , Ming Xiao

In this paper we establish an improved outer bound on the storage-repair-bandwidth tradeoff of regenerating codes under exact repair. The result shows that in particular, it is not possible to construct exact-repair regenerating codes that…

Information Theory · Computer Science 2013-12-23 Birenjith Sasidharan , Kaushik Senthoor , P. Vijay Kumar

In this paper, we consider the setting of exact repair linear regenerating codes. Under this setting, we derive a new outer bound on the storage-repair-bandwidth trade-off for the case when $d = k = n -1$, where $(n, k, d)$ are parameters…

Information Theory · Computer Science 2015-01-27 N. Prakash , M. Nikhil Krishnan

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

The rack-aware storage model improves repair efficiency by exploiting locality within racks to minimize cross-rack traffic in a distributed storage system. While the partially cooperative repair model presents a solution for multiple node…

Information Theory · Computer Science 2025-09-30 Hengming Zhao , Dianhua Wu , Minquan Cheng

Maximum distance separable (MDS) codes are optimal error-correcting codes in the sense that they provide the maximum failure-tolerance for a given number of parity nodes. Suppose that an MDS code with $k$ information nodes and $r=n-k$…

Information Theory · Computer Science 2016-04-11 Min Ye , Alexander Barg

To recover simultaneous multiple failures in erasure coded storage systems, Patrick Lee et al introduce concurrent repair based minimal storage regenerating codes to reduce repair traffic. The architecture of this approach is simpler and…

Information Theory · Computer Science 2016-04-25 Huayu Zhang , Hui Li , Hanxu Hou , K. W. Shum , ShuoYen Robert Li

Regenerating code is a class of code very suitable for distributed storage systems, which can maintain optimal bandwidth and storage space. Two types of important regenerating code have been constructed: the minimum storage regeneration…

Information Theory · Computer Science 2015-11-10 Jian Li , Tongtong Li , Jian Ren

We derive a lower bound on the amount of information accessed to repair failed nodes within a single rack from any number of helper racks in the rack-aware storage model that allows collective information processing in the nodes that share…

Information Theory · Computer Science 2023-04-19 Jiaojiao Wang , Zitan Chen

We consider the problem of multiple-node repair in distributed storage systems under the cooperative model, where the repair bandwidth includes the amount of data exchanged between any two different storage nodes. Recently, explicit…

Information Theory · Computer Science 2019-12-02 Min Ye