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Recently we constructed an explicit family of locally repairable and locally regenerating codes. Their existence was proven by Kamath et al. but no explicit construction was given. Our design is based on HashTag codes that can have…

信息论 · 计算机科学 2020-02-14 Danilo Gligoroski , Katina Kralevska , Rune E. Jensen , Per Simonsen

An explicit construction of systematic MDS codes, called HashTag+ codes, with arbitrary sub-packetization level for all-node repair is proposed. It is shown that even for small sub-packetization levels, HashTag+ codes achieve the optimal…

信息论 · 计算机科学 2020-02-14 Katina Kralevska , Danilo Gligoroski

Regenerating codes and codes with locality are two schemes that have recently been proposed to ensure data collection and reliability in a distributed storage network. In a situation where one is attempting to repair a failed node,…

信息论 · 计算机科学 2013-02-05 Govinda M. Kamath , N. Prakash , V. Lalitha , P. Vijay Kumar

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

We present the construction of a new family of erasure correcting codes for distributed storage that yield low repair bandwidth and low repair complexity. The construction is based on two classes of parity symbols. The primary goal of the…

信息论 · 计算机科学 2015-08-28 Siddhartha Kumar , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

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

In this paper, we study codes with locality that can recover from two erasures via a sequence of two local, parity-check computations. By a local parity-check computation, we mean recovery via a single parity-check equation associated to…

信息论 · 计算机科学 2014-01-28 N. Prakash , V. Lalitha , P. Vijay Kumar

Locally repairable codes enables fast repair of node failure in a distributed storage system. The code symbols in a codeword are stored in different storage nodes, such that a disk failure can be recovered by accessing a small fraction of…

信息论 · 计算机科学 2021-12-13 Kenneth W. Shum , Jie Hao

Typically, locally repairable codes (LRCs) and regenerating codes have been studied independently of each other, and it has not been clear how the parameters of one relate to those of the other. In this paper, a novel connection between…

信息论 · 计算机科学 2016-11-22 Toni Ernvall , Thomas Westerbäck , Ragnar Freij-Hollanti , Camilla Hollanti

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…

信息论 · 计算机科学 2018-07-10 Geonu Kim , Jungwoo Lee

Codes for storage systems aim to minimize the repair locality, which is the number of disks (or nodes) that participate in the repair of a single failed disk. Simultaneously, the code must sustain a high rate, operate on a small finite…

信息论 · 计算机科学 2016-09-29 Sreechakra Goparaju , Robert Calderbank

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…

信息论 · 计算机科学 2014-05-06 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

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…

信息论 · 计算机科学 2019-04-09 Ali Tebbi , Terence H. Chan , Chi Wan Sung

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…

信息论 · 计算机科学 2016-11-15 Lluis Pamies-Juarez , Henk D. L. Hollmann , Frédérique Oggier

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…

信息论 · 计算机科学 2013-05-27 Oktay Olmez , Aditya Ramamoorthy

Maximum distance separable (MDS) codes are optimal error-correcting codes in the sense that they provide the maximum failure-tolerance for a given number of parity nodes. Suppose that an MDS code with $k$ information nodes and $r=n-k$…

信息论 · 计算机科学 2016-04-11 Min Ye , Alexander Barg

Cooperative regenerating codes are designed for repairing multiple node failures in distributed storage systems. In contrast to the original repair model of regenerating codes, which are for the repair of single node failure, data exchange…

信息论 · 计算机科学 2016-07-29 Kenneth W. Shum , Junyu Chen

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…

信息论 · 计算机科学 2024-01-30 Yumeng Yang , Han Cai , Xiaohu Tang

A novel coding scheme for exact repair-regenerating codes is presented in this paper. The codes proposed in this work can trade between the repair bandwidth of nodes (number of downloaded symbols from each surviving node in a repair…

信息论 · 计算机科学 2021-01-05 Mehran Elyasi , Soheil Mohajer

Consider a systematic linear code where some (local) parity symbols depend on few prescribed symbols, while other (heavy) parity symbols may depend on all data symbols. Local parities allow to quickly recover any single symbol when it is…

信息论 · 计算机科学 2013-07-23 Parikshit Gopalan , Cheng Huang , Bob Jenkins , Sergey Yekhanin
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