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We revisit zigzag array codes, a family of MDS codes known for achieving optimal access and optimal rebuilding ratio in single-node repair. In this work, we endow zigzag codes with two new properties: small field size and low skip cost.…

Information Theory · Computer Science 2025-09-30 Wenqin Zhang , Han Mao Kiah , Son Hoang Dau

There are multiple performance metrics in the design of coding schemes for distributed storage systems. The first metric is called repair bandwidth, which measures the network resources required during the repair process. Another critical…

Information Theory · Computer Science 2026-01-15 Minhan Gao , Kenneth Shum

Given the scale of today's distributed storage systems, the failure of an individual node is a common phenomenon. Various metrics have been proposed to measure the efficacy of the repair of a failed node, such as the amount of data download…

Information Theory · Computer Science 2015-01-21 Gaurav Kumar Agarwal , Birenjith Sasidharan , P. Vijay Kumar

Many modern data-intensive computational problems either require, or benefit from distance or similarity data that adhere to a metric. The algorithms run faster or have better performance guarantees. Unfortunately, in real applications, the…

Machine Learning · Statistics 2017-10-31 Anna C. Gilbert , Lalit Jain

Node repair is a crucial problem in erasure-code-based distributed storage systems. An important metric for repair efficiency is the I/O cost which equals the total amount of data accessed at helper nodes to repair a failed node. In this…

Information Theory · Computer Science 2024-01-11 Zhongyan Liu , Zhifang Zhang

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

Erasure correcting codes are widely used to ensure data persistence in distributed storage systems. This paper addresses the simultaneous repair of multiple failures in such codes. We go beyond existing work (i.e., regenerating codes by…

Information Theory · Computer Science 2013-09-18 Anne-Marie Kermarrec , Gilles Straub , Nicolas Le Scouarnec

In distributed storage systems reliability is achieved through redundancy stored at different nodes in the network. Then a data collector can reconstruct source information even though some nodes fail. To maintain reliability, an autonomous…

Information Theory · Computer Science 2013-03-26 Majid Gerami , Ming Xiao , Mikael Skoglund , Kenneth W. Shum , Dengsheng Lin

As the prices of magnetic storage continue to decrease, the cost of replacing failed disks becomes increasingly dominated by the cost of the service call itself. We propose to eliminate these calls by building disk arrays that contain…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-06 Jehan-François Pâris , Ahmed Amer , Darrell D. E. Long , Thomas J. E. Schwarz

This paper generalizes the piggybacking constructions for distributed storage systems by considering various protected instances and piggybacked instances. Analysis demonstrates that the proportion of protected instances determines the…

Information Theory · Computer Science 2017-02-07 Shuai Yuan , Qin Huang , Zulin Wang

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

In this paper, we propose a novel cooperative repair scheme for Zigzag MSR codes with optimal repair bandwidth, enabling the repair of any h failed nodes. To the best of our knowledge, this is the first optimal cooperative repair scheme for…

Information Theory · Computer Science 2025-02-28 Yajuan Liu , Han Cai , Xiaohu Tang

Network transfer and disk read are the most time consuming operations in the repair process for node failures in erasure-code-based distributed storage systems. Recent developments on Reed-Solomon codes, the most widely used erasure codes…

Information Theory · Computer Science 2018-05-10 Hoang Dau , Iwan Duursma , Hien Chu

Lattice surgery is a measurement-based technique for performing fault-tolerant quantum computation in two dimensions. When using the surface code, the most general lattice surgery operations require lattice irregularities called twist…

Quantum Physics · Physics 2022-05-04 Christopher Chamberland , Earl T. Campbell

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

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

While fixing concurrency bugs, program repair algorithms may introduce new concurrency bugs. We present an algorithm that avoids such regressions. The solution space is given by a set of program transformations we consider in for repair…

Programming Languages · Computer Science 2014-07-15 Pavol Černý , Thomas A. Henzinger , Arjun Radhakrishna , Leonid Ryzhyk , Thorsten Tarrach

We study the data reliability problem for a community of devices forming a mobile cloud storage system. We consider the application of regenerating codes for file maintenance within a geographically-limited area. Such codes require lower…

Networking and Internet Architecture · Computer Science 2017-03-02 Gokhan Calis , Swetha Shivaramaiah , O. Ozan Koyluoglu , Loukas Lazos

In this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as…

Cryptography and Security · Computer Science 2015-02-05 Xuan Guang , Jiyong Lu , Fang-Wei Fu

We consider the technologically relevant costs of operating a reliable bit that can be erased rapidly. We find that both erasing and reliability times are non-monotonic in the underlying friction, leading to a trade-off between erasing…

Statistical Mechanics · Physics 2017-07-21 Abhishek Deshpande , Manoj Gopalkrishnan , Thomas E. Ouldridge , Nick S. Jones
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