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In a distributed storage system, recovering from multiple failures is a critical and frequent task that is crucial for maintaining the system's reliability and fault-tolerance. In this work, we focus on the problem of repairing multiple…

Information Theory · Computer Science 2018-05-09 Marwen Zorgui , Zhiying Wang

The high repair cost of (n,k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of codes, called Regenerating Codes, that optimally trade off storage cost for repair bandwidth. In this paper, we address…

Information Theory · Computer Science 2010-04-28 Changho Suh , Kannan Ramchandran

A new class of exact-repair regenerating codes is constructed by stitching together shorter erasure correction codes, where the stitching pattern can be viewed as block designs. The proposed codes have the "help-by-transfer" property where…

Information Theory · Computer Science 2017-08-04 Chao Tian , Birenjith Sasidharan , Vaneet Aggarwal , Vinay A. Vaishampayan , P. Vijay Kumar

Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the…

Information Theory · Computer Science 2013-01-14 Yunghsiang S. Han , Hong-Ta Pai , Rong Zheng , Pramod K. Varshney

In a distributed storage systems (DSS) with $k$ systematic nodes, robustness against node failure is commonly provided by storing redundancy in a number of other nodes and performing repair mechanism to reproduce the content of the failed…

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

We consider the rack-aware storage system where $n=\bar{n}u$ nodes are organized in $\bar{n}$ racks each containing $u$ nodes, and any $k=\bar{k}u+u_0~(0\leq u_0<u)$ nodes can retrieve the original data file. More importantly, the…

Information Theory · Computer Science 2021-03-30 Liyang Zhou , Zhifang Zhang

In this paper, we provide explicit constructions for a class of exact-repair regenerating codes that possess a layered structure. These regenerating codes correspond to interior points on the storage-repair-bandwidth tradeoff, and compare…

Information Theory · Computer Science 2013-03-12 Birenjith Sasidharan , P. Vijay Kumar

Minimum storage regenerating (MSR) codes are MDS codes which allow for recovery of any single erased symbol with optimal repair bandwidth, based on the smallest possible fraction of the contents downloaded from each of the other symbols.…

Data Structures and Algorithms · Computer Science 2019-07-10 Venkatesan Guruswami , Haotian Jiang

We consider the design of regenerating codes for distributed storage systems at the minimum bandwidth regeneration (MBR) point. The codes allow for a repair process that is exact and uncoded, but table-based. These codes were introduced in…

Information Theory · Computer Science 2012-11-19 Oktay Olmez , Aditya Ramamoorthy

In modern practical data centers, storage nodes are usually organized into equally sized groups, which is called racks. The cost of cross-rack communication is much more expensive compared with the intra-rack communication cost. The codes…

Information Theory · Computer Science 2019-11-20 Lingfei Jin , Gaojun Luo , Chaoping Xing

A novel coding scheme for exact repair-regenerating codes is presented in this paper. The codes proposed in this work can trade between the repair bandwidth of nodes (number of downloaded symbols from each surviving node in a repair…

Information Theory · Computer Science 2021-01-05 Mehran Elyasi , Soheil Mohajer

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

This paper presents an explicit construction for an $((n,k,d=n-1), (\alpha,\beta))$ regenerating code over a field $\mathbb{F}_Q$ operating at the Minimum Storage Regeneration (MSR) point. The MSR code can be constructed to have rate $k/n$…

Information Theory · Computer Science 2016-09-20 Birenjith Sasidharan , Myna Vajha , P. Vijay Kumar

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…

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…

Information Theory · Computer Science 2023-09-28 Shenghua Li , Maximilien Gadouleau , Jiaojiao Wang , Dabin Zheng

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

Regenerating codes are a class of recently developed codes for distributed storage that, like Reed-Solomon codes, permit data recovery from any subset of k nodes within the n-node network. However, regenerating codes possess in addition,…

Information Theory · Computer Science 2015-03-17 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

This paper considers capacity-achieving coding for the clustered form of distributed storage that reflects practical storage networks. To reflect the clustered structure with limited cross-cluster communication bandwidths, nodes in the same…

Information Theory · Computer Science 2019-08-05 Jy-yong Sohn , Beongjun Choi , Jaekyun Moon

Regenerating codes are a class of recently developed codes for distributed storage that, like Reed-Solomon codes, permit data recovery from any arbitrary k of n nodes. However regenerating codes possess in addition, the ability to repair a…

Information Theory · Computer Science 2015-03-17 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

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