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We construct an explicit family of locally repairable and locally regenerating codes whose existence was proven in a recent work by Kamath et al. about codes with local regeneration but no explicit construction was given. This explicit…

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

Recently, locally repairable codes (LRCs) with local erasure correction constraints that are unequal and disjoint have been proposed. In this work, we study the same topic and provide some improved and additional results.

信息论 · 计算机科学 2017-04-10 Geonu Kim , Jungwoo Lee

In a modern distributed storage system, storage nodes are organized in racks, and the cross-rack communication dominates the system bandwidth. In We study the rack-aware storage system where all storage nodes are organized in racks and…

信息论 · 计算机科学 2022-07-18 Liyang Zhou , Zhifang Zhang

Erasure coding techniques are getting integrated in networked distributed storage systems as a way to provide fault-tolerance at the cost of less storage overhead than traditional replication. Redundancy is maintained over time through…

分布式、并行与集群计算 · 计算机科学 2012-06-12 Lluis Pamies-Juarez , Frédérique Oggier , Anwitaman Datta

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…

信息论 · 计算机科学 2015-07-30 Wentu Song , Chau Yuen

In this work, we introduce maximally recoverable codes with locality and availability. We consider locally repairable codes (LRCs) where certain subsets of $ t $ symbols belong each to $ N $ local repair sets, which are pairwise disjoint…

信息论 · 计算机科学 2026-05-18 Umberto Martínez-Peñas , V. Lalitha

Locally repairable codes (LRCs) have received significant recent attention as a method of designing data storage systems robust to server failure. Optimal LRCs offer the ideal trade-off between minimum distance and locality, a measure of…

信息论 · 计算机科学 2024-02-07 Allison Beemer , Ryan Coatney , Venkatesan Guruswami , Hiram H. López , Fernando Piñero

Locally repairable codes (LRCs) were originally introduced to enable efficient recovery from erasures in distributed storage systems by accessing only a small number of other symbols. While their structural properties-such as bounds and…

信息论 · 计算机科学 2026-02-23 Hoang Ly , Emina Soljanin , Philip Whiting

This paper presents a new explicit construction for locally repairable codes (LRCs) for distributed storage systems which possess all-symbols locality and maximal possible minimum distance, or equivalently, can tolerate the maximal number…

信息论 · 计算机科学 2013-01-29 Natalia Silberstein , Ankit Singh Rawat , O. Ozan Koyluoglu , Sriram Vishwanath

We consider the locally repairable codes (LRC), aiming at sequential recovering multiple erasures. We define the (n,k,r,t)-SLRC (Sequential Locally Repairable Codes) as an [n,k] linear code where any t'(>= t) erasures can be sequentially…

信息论 · 计算机科学 2016-11-01 Wentu Song , Kai Cai , Chau Yuen

A code is called a locally repairable code (LRC) if any code symbol is a function of a small fraction of other code symbols. When a locally repairable code is employed in a distributed storage systems, an erased symbol can be recovered by…

信息论 · 计算机科学 2021-11-25 Wei Zhao , Kenneth W. Shum , Shenghao Yang

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,…

信息论 · 计算机科学 2025-04-16 Margreta Kuijper , Julia Lieb , Diego Napp

Locally repairable codes, or locally recoverable codes (LRC for short) are designed for application in distributed and cloud storage systems. Similar to classical block codes, there is an important bound called the Singleton-type bound for…

信息论 · 计算机科学 2017-10-27 Lingfei Jin , Liming Ma , Chaoping Xing

We establish a duality result between linear index coding and Locally Repairable Codes (LRCs). Specifically, we show that a natural extension of LRCs we call Generalized Locally Repairable Codes (GLCRs) are exactly dual to linear index…

信息论 · 计算机科学 2014-02-18 Karthikeyan Shanmugam , Alexandros G. Dimakis

Locally repairable codes (LRC) have recently been a subject of intense research due to theoretical appeal and their application in distributed storage systems. In an LRC, any coordinate of a codeword can be recovered by accessing only few…

信息论 · 计算机科学 2016-07-29 Abhishek Agarwal , Arya Mazumdar

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

Repair performance in hierarchical data centers is often bottlenecked by cross-rack network transfer. Recent theoretical results show that the cross-rack repair traffic can be minimized through repair layering, whose idea is to partition a…

分布式、并行与集群计算 · 计算机科学 2017-09-18 Yuchong Hu , Xiaolu Li , Mi Zhang , Patrick P. C. Lee , Xiaoyang Zhang , Pan Zhou , Dan Feng

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

This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable…

信息论 · 计算机科学 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

Locally repairable codes (LRCs) are error correcting codes used in distributed data storage. Besides a global level, they enable errors to be corrected locally, reducing the need for communication between storage nodes. There is a close…

信息论 · 计算机科学 2016-05-24 Antti Pöllänen , Thomas Westerbäck , Ragnar Freij-Hollanti , Camilla Hollanti