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MDS array codes are widely used in storage systems to protect data against erasures. We address the \emph{rebuilding ratio} problem, namely, in the case of erasures, what is the the fraction of the remaining information that needs to be…

信息论 · 计算机科学 2011-03-22 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

This paper addresses the problem of constructing secure exact-repair regenerating codes at the MSR point for all feasible values of the parameters. The setting involves a passive eavesdropper who is allowed to observe the stored contents…

信息论 · 计算机科学 2019-02-27 V. Arvind Rameshwar , Navin Kashyap

An $(n,k,\ell)$-vector MDS code is a $\mathbb{F}$-linear subspace of $(\mathbb{F}^\ell)^n$ (for some field $\mathbb{F}$) of dimension $k\ell$, such that any $k$ (vector) symbols of the codeword suffice to determine the remaining $r=n-k$…

信息论 · 计算机科学 2021-09-29 Omar Alrabiah , Venkatesan Guruswami

We consider distributed storage (DS) for a wireless network where mobile devices arrive and depart according to a Poisson random process. Content is stored in a number of mobile devices, using an erasure correcting code. When requesting a…

信息论 · 计算机科学 2016-01-05 Jesper Pedersen , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

A key design goal of erasure-coded clusters is to reduce the repair time. The existing Erasure-coded data repair schemes are roughly classified into two categories: 1. Designing rapid data repair (e.g., PPR) in a homogeneous environment. 2.…

网络与互联网体系结构 · 计算机科学 2021-04-12 Hai Zhou , Dan Feng , Yuchong Hu

In the modern era of large-scale computing systems, a crucial use of error correcting codes is to judiciously introduce redundancy to ensure recoverability from failure. To get the most out of every byte, practitioners and theorists have…

信息论 · 计算机科学 2026-02-26 Joshua Brakensiek , Venkatesan Guruswami

Maximum distance separable (MDS) codes are widely used in storage systems to protect against disk (node) failures. A node is said to have capacity $l$ over some field $\mathbb{F}$, if it can store that amount of symbols of the field. An…

信息论 · 计算机科学 2016-11-17 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

A maximum distance separable (MDS) array code is composed of $m\times (k+r)$ arrays such that any $k$ out of $k+r$ columns suffice to retrieve all the information symbols. Expanded-Blaum-Roth (EBR) codes and Expanded-Independent-Parity…

信息论 · 计算机科学 2022-09-14 Hanxu Hou , Yunghsiang S. Han , Patrick P. C. Lee , You Wu , Guojun Han , Mario Blaum

Fractional repetition (FR) codes is a family of codes for distributed storage systems that allow for uncoded exact repairs having the minimum repair bandwidth. However, in contrast to minimum bandwidth regenerating (MBR) codes, where a…

信息论 · 计算机科学 2015-01-22 Natalia Silberstein , Tuvi Etzion

Distributed storage plays a crucial role in the current cloud computing framework. After the theoretical bound for distributed storage was derived by the pioneer work of the regenerating code, Reed-Solomon code based regenerating codes were…

密码学与安全 · 计算机科学 2015-10-06 Jian Li , Tongtong Li , Jian Ren

Partial MDS (PMDS) and sector-disk (SD) codes are classes of erasure codes that combine locality with strong erasure correction capabilities. We construct PMDS and SD codes where each local code is a bandwidth-optimal regenerating MDS code.…

信息论 · 计算机科学 2020-05-11 Lukas Holzbaur , Sven Puchinger , Eitan Yaakobi , Antonia Wachter-Zeh

Accessing the data in the failed disk (degraded read) with low latency is crucial for an erasure-coded storage system. In this work, the maximum distance separable (MDS) array code with the property of degraded-read friendly (DRF) is…

信息论 · 计算机科学 2021-02-05 Ting-Yi Wu , Yunghsiang S. Han , Zhengrui Li , Bo Bai , Gong Zhang , Liang Chen , Xiang Wu

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…

分布式、并行与集群计算 · 计算机科学 2011-05-03 Frederique Oggier , Anwitaman Datta

An $(n,k,d)$ cooperative regenerating code provides the optimal-bandwidth repair for any $t~(t\!>\!1)$ node failures in a cooperative way. In particular, an MSCR (minimum storage cooperative regenerating) code retains the same storage…

信息论 · 计算机科学 2018-10-11 Yaqian Zhang , Zhifang Zhang

A private information retrieval (PIR) scheme allows a user to retrieve a file from a database without revealing any information on the file being requested. As of now, PIR schemes have been proposed for several kinds of storage systems,…

信息论 · 计算机科学 2018-12-07 Julien Lavauzelle , Razane Tajeddine , Ragnar Freij-Hollanti , Camilla Hollanti

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…

信息论 · 计算机科学 2016-11-15 Imad Ahmad , Chih-Chun Wang

Distributed storage systems suffer from significant repair traffic generated due to frequent storage node failures. This paper shows that properly designed low-density parity-check (LDPC) codes can substantially reduce the amount of…

分布式、并行与集群计算 · 计算机科学 2017-10-17 Hyegyeong Park , Dongwon Lee , Jaekyun Moon

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…

信息论 · 计算机科学 2014-01-14 Majid Gerami , Ming Xiao

In this paper, we study distributed storage problems over unidirectional ring networks. A lower bound on the reconstructing bandwidth to recover total original data for each user is proposed, and it is achievable for arbitrary parameters.…

信息论 · 计算机科学 2014-01-22 Jiyong Lu , Xuan Guang , Fang-Wei Fu

Here, we revisit the problem of exploring the secrecy capacity of minimum storage cooperative regenerating (MSCR) codes under the $\{l_1,l_2\}$-eavesdropper model, where the eavesdropper can observe the data stored on $l_1$ nodes and the…

信息论 · 计算机科学 2016-11-15 Kun Huang , Udaya Parampalli , Ming Xian