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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 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

Repair performance in hierarchical data centers is often bottlenecked by cross-rack network transfer. Recent theoretical results show that the cross-rack repair traffic can be minimized through repair layering, whose idea is to partition a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-18 Yuchong Hu , Xiaolu Li , Mi Zhang , Patrick P. C. Lee , Xiaoyang Zhang , Pan Zhou , Dan Feng

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

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

Regenerating codes (RCs) can significantly reduce the repair-bandwidth of distributed storage networks. Initially, the analysis of RCs was based on the assumption that during the repair process, the newcomer does not distinguish (among all…

Information Theory · Computer Science 2016-11-15 Imad Ahmad , Chih-Chun Wang

Regenerating codes are a class of codes for distributed storage networks that provide reliability and availability of data, and also perform efficient node repair. Another important aspect of a distributed storage network is its security.…

Information Theory · Computer Science 2015-03-19 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar

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

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

The problem of exact-repair regenerating codes against eavesdropping attack is studied. The eavesdropping model we consider is that the eavesdropper has the capability to observe the data involved in the repair of a subset of $\ell$ nodes.…

Information Theory · Computer Science 2018-05-09 Fangwei Ye , Shiqiu Liu , Kenneth W. Shum , Raymond W. Yeung

The amount of digital data is rapidly growing. There is an increasing use of a wide range of computer systems, from mobile devices to large-scale data centers, and important for reliable operation of all computer systems is mitigating the…

Information Theory · Computer Science 2018-03-06 Katina Kralevska

Minimum storage regenerating (MSR) codes are a class of maximum distance separable (MDS) array codes capable of repairing any single failed node by downloading the minimum amount of information from each of the helper nodes. However, MSR…

Information Theory · Computer Science 2024-08-30 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

We study the exact and optimal repair of multiple failures in codes for distributed storage. More particularly, we provide an explicit construction of exact minimum bandwidth coordinated regenerating codes (MBCR) for n=d+t,k,d >= k,t >= 1.…

Information Theory · Computer Science 2012-07-05 Steve Jiekak , Nicolas Le Scouarnec

Distributed storage systems need to store data redundantly in order to provide some fault-tolerance and guarantee system reliability. Different coding techniques have been proposed to provide the required redundancy more efficiently than…

Information Theory · Computer Science 2016-11-15 Lluis Pamies-Juarez , Henk D. L. Hollmann , Frédérique Oggier

We develop novel protocols for generating loss-tolerant quantum codes; these are central for safeguarding information against qubit losses, with most crucial applications in quantum communications. Contrary to current proposals, our method…

Quantum Physics · Physics 2025-03-31 Francesco Cesa , Tommaso Feri , Angelo Bassi

An erasure code is said to be a code with sequential recovery with parameters $r$ and $t$, if for any $s \leq t$ erased code symbols, there is an $s$-step recovery process in which at each step we recover exactly one erased code symbol by…

Information Theory · Computer Science 2018-01-23 Balaji Srinivasan Babu , Ganesh R. Kini , P. Vijay Kumar

Minimum storage regenerating codes have minimum storage of data in each node and therefore are maximal distance separable (MDS for short) codes. Thus, the number of nodes is upper bounded by $2^{\fb}$, where $\fb$ is the bits of data stored…

Information Theory · Computer Science 2017-10-06 Lingfei Jin , Yuan Luo , Chaoping Xing

We study the repair problem of distributed storage systems in erasure networks where the packets transmitted from surviving nodes to the new node might be lost. The fundamental storage-bandwidth tradeoff is calculated by multicasting…

Information Theory · Computer Science 2013-01-30 Majid Gerami , Ming Xiao

Exact queueing analysis of erasure networks with network coding in a finite buffer regime is an extremely hard problem due to the large number of states in the network. In such networks, packets are lost due to either link erasures or due…

Information Theory · Computer Science 2010-12-14 Nima Torabkhani , Badri N. Vellambi , Faramarz Fekri

We propose repair pipelining, a technique that speeds up the repair performance in general erasure-coded storage. By carefully scheduling the repair of failed data in small-size units across storage nodes in a pipelined manner, repair…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-23 Xiaolu Li , Zuoru Yang , Jinhong Li , Runhui Li , Patrick P. C. Lee , Qun Huang , Yuchong Hu
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