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Designing spatial networks, such as transport networks, commonly deals with the problem of how to best connect a set of locations through a set of links. In practice, it can be crucial to order the implementation of the links in a way that…

This paper studies a survivable traffic grooming problem in large-scale optical transport networks under double-link failures (STG2). Each communication demand must be assigned a route for every possible scenario involving zero, one, or two…

Combinatorics · Mathematics 2025-06-17 Silong Zhang , Jixuan Feng , Junyan Liu , Yu Liu , Zhou Xu , Fan Zhang

We consider the problem of designing [n; k] linear codes for distributed storage systems (DSS) that satisfy the (r, t)-Local Repair Property, where any t'(<=t) simultaneously failed nodes can be locally repaired, each with locality r. The…

Information Theory · Computer Science 2015-07-30 Wentu Song , Chau Yuen

The enormous increase in the usage of communication networks has made protection against node and link failures essential in the deployment of reliable networks. To prevent loss of data due to node failures, a network protection strategy is…

Information Theory · Computer Science 2009-06-30 Salah A. Aly , Ahmed E. Kamal

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

Agile recovery from link failures in autonomic communication networks is essential to increase robustness, accessibility, and reliability of data transmission. However, this must be done with the least amount of protection resources, while…

Networking and Internet Architecture · Computer Science 2008-12-16 Salah A. Aly , Ahmed E. Kamal

Petabyte-scale distributed storage systems are currently transitioning to erasure codes to achieve higher storage efficiency. Classical codes like Reed-Solomon are highly sub-optimal for distributed environments due to their high overhead…

Information Theory · Computer Science 2013-11-07 Itzhak Tamo , Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Erasure codes have emerged as an efficient technology for providing data redundancy in distributed storage systems. However, it is a challenging task to repair the failed storage nodes in erasure-coded storage systems, which requires large…

Information Theory · Computer Science 2020-05-15 Bing Zhu , Kenneth W. Shum , Hui Li

The newly presented $(k+2,k)$ Hadamard minimum storage regenerating (MSR) code is the first class of high rate storage code with optimal repair property for all single node failures. In this paper, we propose a new simple repair strategy,…

Information Theory · Computer Science 2013-12-19 Xiaohu Tang , Bin Yang , Jie Li

Locality enables storage systems to recover failed nodes from small subsets of surviving nodes. The setting where nodes are partitioned into subsets, each allowing for local recovery, is well understood. In this work we consider a…

Information Theory · Computer Science 2021-02-11 Lukas Holzbaur , Sven Puchinger , Eitan Yaakobi , Antonia Wachter-Zeh

In this paper, we present a generic framework for constructing systematic minimum storage regenerating codes with two parity nodes based on the invariant subspace technique. Codes constructed in our framework not only contain some best…

Information Theory · Computer Science 2015-03-09 Jie Li , Xiaohu Tang , Udaya Parampalli

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

We introduce a dynamical model of node repair in distributed storage systems wherein the storage nodes are subjected to failures according to independent Poisson processes. The main parameter that we study is the time-average capacity of…

Information Theory · Computer Science 2020-09-22 Ohad Elishco , Alexander Barg

Repairing locality is an appreciated feature for distributed storage, in which a damaged or lost data share can be repaired by accessing a subset of other shares much smaller than is required for decoding the complete data. However for…

Cryptography and Security · Computer Science 2017-09-19 Yue Fu , Shuhao Sun , Dagang Li , Peng Liu

In this survey, two related families of codes are discussed: batch codes and codes for private information retrieval. These two families can be viewed as natural generalizations of locally repairable codes, which were extensively studied in…

Information Theory · Computer Science 2017-09-06 Vitaly Skachek

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. In order to address this concern, in this paper, we build an optimization problem which…

Physics and Society · Physics 2017-02-23 Li Rui , Xia Yongxiang , Tse K Chi

We present NNrepair, a constraint-based technique for repairing neural network classifiers. The technique aims to fix the logic of the network at an intermediate layer or at the last layer. NNrepair first uses fault localization to find…

Machine Learning · Computer Science 2021-06-16 Muhammad Usman , Divya Gopinath , Youcheng Sun , Yannic Noller , Corina Pasareanu

A new class of exact-repair regenerating codes is constructed by combining two layers of erasure correction codes together with combinatorial block designs, e.g., Steiner systems, balanced incomplete block designs and t-designs. The…

Information Theory · Computer Science 2013-02-20 Chao Tian , Vaneet Aggarwal , Vinay A. Vaishampayan

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…

Information Theory · Computer Science 2016-11-17 Ankit Singh Rawat , O. Ozan Koyluoglu , Natalia Silberstein , Sriram Vishwanath

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…