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相关论文: Rack-Aware MSR Codes with Multiple Erasure Toleran…

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We establish lower bounds on the sub-packetization of optimal-access MSR codes in the context of multiple-node failures. These bounds generalize the tight bounds for single-node failure presented by Balaji et al. (IEEE Transactions on…

信息论 · 计算机科学 2025-01-23 Lewen Wang , Zihao Zhang , Sihuang Hu

Wang et al. (IEEE Transactions on Information Theory, vol. 62, no. 8, 2016) proposed an explicit construction of an $(n=k+2,k)$ Minimum Storage Regenerating (MSR) code with $2$ parity nodes and subpacketization $2^{k/3}$. The number of…

信息论 · 计算机科学 2023-05-23 Ningning Wang , Guodong Li , Sihuang Hu , Min Ye

Distributed storage systems employ codes to provide resilience to failure of multiple storage disks. Specifically, an $(n, k)$ MDS code stores $k$ symbols in $n$ disks such that the overall system is tolerant to a failure of up to $n-k$…

信息论 · 计算机科学 2013-05-16 Sreechakra Goparaju , Itzhak Tamo , Robert Calderbank

The problem of multilevel diversity coding with secure regeneration (MDC-SR) is considered, which includes the problems of multilevel diversity coding with regeneration (MDC-R) and secure regenerating code (SRC) as special cases. Two outer…

信息论 · 计算机科学 2018-11-14 Shuo Shao , Tie Liu , Chao Tian , Cong Shen

The explosion in the volumes of data being stored online has resulted in distributed storage systems transitioning to erasure coding based schemes. Local Reconstruction Codes (LRCs) have emerged as the codes of choice for these…

信息论 · 计算机科学 2018-11-19 Sivakanth Gopi , Venkatesan Guruswami , Sergey Yekhanin

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…

信息论 · 计算机科学 2012-04-30 Ankit Singh Rawat , Sriram Vishwanath

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…

信息论 · 计算机科学 2013-03-12 Birenjith Sasidharan , P. Vijay Kumar

Locally repairable codes (LRCs) are considered with equal or unequal localities, local distances and local field sizes. An explicit two-layer architecture with a sum-rank outer code is obtained, having disjoint local groups and achieving…

信息论 · 计算机科学 2019-04-25 Umberto Martínez-Peñas , Frank R. Kschischang

This paper addresses the problem of constructing MDS codes that enable exact repair of each code block with small repair bandwidth, which refers to the total amount of information flow from the remaining code blocks during the repair…

信息论 · 计算机科学 2017-09-26 Ankit Singh Rawat , Itzhak Tamo , Venkatesan Guruswami , Klim Efremenko

When there are multiple node failures in a distributed storage system, regenerating the failed storage nodes individually in a one-by-one manner is suboptimal as far as repair-bandwidth minimization is concerned. If data exchange among the…

信息论 · 计算机科学 2016-11-15 Kenneth W. Shum

Fractional repetition (FR) codes are a class of repair efficient erasure codes that can recover a failed storage node with both optimal repair bandwidth and complexity. In this paper, we study the minimum distance of FR codes, which is the…

信息论 · 计算机科学 2020-05-15 Bing Zhu , Kenneth W. Shum , Weiping Wang , Jianxin Wang

A distributed storage system stores data across multiple nodes, with the primary objective of enabling efficient data recovery even in the event of node failures. The main goal of an exact repair scheme is to recover the data from a failed…

信息论 · 计算机科学 2026-01-05 Hiram H. López , Gretchen L. Matthews , Daniel Valvo

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…

信息论 · 计算机科学 2016-02-10 Jing Wang , Zhiyuan Yan , Hongmei Xie

In this paper, we propose two new constructions of exact-repair minimum storage regenerating (exact-MBR) codes. Both constructions obtain the encoded symbols by first treating the message vector over GF(q) as a linearized polynomial and…

信息论 · 计算机科学 2013-01-22 Hongmei Xie , Zhiyuan Yan

Modern large-scale distributed storage systems use erasure codes to protect against node failures with low storage overhead. In practice, the failure rate and other factors of storage devices in the system may vary significantly over time,…

信息论 · 计算机科学 2023-08-15 Xiangliang Kong

Distributed data storage systems are essential to deal with the need to store massive volumes of data. In order to make such a system fault-tolerant, some form of redundancy becomes crucial, incurring various overheads - most prominently in…

分布式、并行与集群计算 · 计算机科学 2011-12-25 Frederique Oggier , Anwitaman Datta

Reed-Solomon codes have found many applications in practical storage systems, but were until recently considered unsuitable for distributed storage applications due to the widely-held belief that they have poor repair bandwidth. The work of…

信息论 · 计算机科学 2017-05-16 Hoang Dau , Olgica Milenkovic

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

Regeneration codes with exact-repair property for distributed storage systems is studied in this paper. For exact- repair problem, the achievable points of ({\alpha},{\beta}) tradeoff match with the outer bound only for minimum storage…

信息论 · 计算机科学 2015-10-08 Mehran Elyasi , Soheil Mohajer

Generalized Reed-Solomon (RS) codes are a common choice for efficient, reliable error correction in memory and communications systems. These codes add $2t$ extra parity symbols to a block of memory, and can efficiently and reliably correct…

信息论 · 计算机科学 2024-05-28 Mike Hamburg , Eric Linstadt , Danny Moore , Thomas Vogelsang