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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

In this paper we extend the notion of {\em locally repairable} codes to {\em secret sharing} schemes. The main problem that we consider is to find optimal ways to distribute shares of a secret among a set of storage-nodes (participants)…

Information Theory · Computer Science 2016-08-15 Abhishek Agarwal , Arya Mazumdar

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

This paper considers data secrecy in distributed storage systems (DSSs) using maximally recoverable locally repairable codes (MR-LRCs). Conventional MR-LRCs are in general not secure against eavesdroppers who can observe the transmitted…

Information Theory · Computer Science 2024-05-13 Tim Janz , Hedongliang Liu , Rawad Bitar , Frank R. Kschischang

Repair locality is a desirable property for erasure codes in distributed storage systems. Recently, different structures of local repair groups have been proposed in the definitions of repair locality. In this paper, the concept of…

Information Theory · Computer Science 2014-10-20 Anyu Wang , Zhifang Zhang

This paper studies the problem of repairing secret sharing schemes, i.e., schemes that encode a message into $n$ shares, assigned to $n$ nodes, so that any $n-r$ nodes can decode the message but any colluding $z$ nodes cannot infer any…

Information Theory · Computer Science 2017-06-05 Wentao Huang , Jehoshua Bruck

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

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

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

Recently, the research on local repair codes is mainly confined to repair the failed nodes within each repair group. But if the extreme cases occur that the entire repair group has failed, the local code stored in the failed group need to…

Information Theory · Computer Science 2016-02-10 Jing Wang , Zhiyuan Yan , Hongmei Xie

Erasure-correcting codes, that support local repair of codeword symbols, have attracted substantial attention recently for their application in distributed storage systems. This paper investigates a generalization of the usual locally…

Information Theory · Computer Science 2016-01-28 Ankit Singh Rawat , Arya Mazumdar , Sriram Vishwanath

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 the context of distributed storage systems, locally repairable codes have become important. In this paper we focus on codes that allow for multi-erasure pattern decoding with low computational effort. Different optimality requirements,…

Information Theory · Computer Science 2025-04-16 Margreta Kuijper , Julia Lieb , Diego Napp

A repairable threshold scheme (which we abbreviate to RTS) is a $(\tau,n)$-threshold scheme in which a subset of players can "repair" another player's share in the event that their share has been lost or corrupted. This will take place…

Combinatorics · Mathematics 2018-11-06 Bailey Kacsmar , Douglas R. Stinson

In this paper, we discuss codes for distributed storage systems with hierarchical repair properties. Specifically, we devote attention to the repair problem of the rack-aware storage model with locality, aiming to enhance the system's…

Information Theory · Computer Science 2024-01-30 Yumeng Yang , Han Cai , Xiaohu Tang

This paper studies the design of codes for distributed storage systems (DSS) that enable local repair in the event of node failure. This paper presents locally repairable codes based on low degree multivariate polynomials. Its code…

Information Theory · Computer Science 2012-04-30 Ankit Singh Rawat , Sriram Vishwanath

Future systems based on nano-scale devices will provide great potentials for scaling up in system complexity, yet they will be highly susceptible to operational faults. While spare units can be generally used to enhance reliability, they…

Hardware Architecture · Computer Science 2018-12-05 Soroush Khaleghi , Wenjing Rao

Erasure codes provide a storage efficient alternative to replication based redundancy in (networked) storage systems. They however entail high communication overhead for maintenance, when some of the encoded fragments are lost and need to…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-24 Frederique Oggier , Anwitaman Datta

A major issue of locally repairable codes is their robustness. If a local repair group is not able to perform the repair process, this will result in increasing the repair cost. Therefore, it is critical for a locally repairable code to…

Information Theory · Computer Science 2019-04-09 Ali Tebbi , Terence H. Chan , Chi Wan Sung

We consider the design of regenerating codes for distributed storage systems that enjoy the property of local, exact and uncoded repair, i.e., (a) upon failure, a node can be regenerated by simply downloading packets from the surviving…

Information Theory · Computer Science 2013-05-27 Oktay Olmez , Aditya Ramamoorthy
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