English
Related papers

Related papers: Locally repairable convertible codes with optimal …

200 papers

As an important coding scheme in modern distributed storage systems, locally repairable codes (LRCs) have attracted a lot of attentions from perspectives of both practical applications and theoretical research. As a major topic in the…

Information Theory · Computer Science 2021-01-01 Xiangliang Kong , Xin Wang , Gennnian Ge

Maximum distance separable (MDS) codes have the optimal trade-off between storage efficiency and fault tolerance, which are widely used in distributed storage systems. As typical non-MDS codes, simple regenerating codes (SRCs) can achieve…

Information Theory · Computer Science 2023-09-06 Zhengyi Jiang , Hao Shi , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

We introduce a family of balanced locally repairable codes (BLRCs) $[n, k, d]$ for arbitrary values of $n$, $k$ and $d$. Similar to other locally repairable codes (LRCs), the presented codes are suitable for applications that require a low…

Information Theory · Computer Science 2020-02-14 Katina Kralevska , Danilo Gligoroski , Harald Øverby

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,…

Information Theory · Computer Science 2013-02-05 Govinda M. Kamath , N. Prakash , V. Lalitha , P. Vijay Kumar

Recent years, several new types of codes were introduced to provide fault-tolerance and guarantee system reliability in distributed storage systems, among which locally repairable codes (LRCs for short) have played an important role. A…

Information Theory · Computer Science 2022-06-14 Yuanxiao Xi , Xiangliang Kong , Gennian Ge

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…

Information Theory · Computer Science 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

A code over a finite alphabet is called locally recoverable (LRC) if every symbol in the encoding is a function of a small number (at most $r$) other symbols. We present a family of LRC codes that attain the maximum possible value of the…

Information Theory · Computer Science 2014-07-14 Itzhak Tamo , Alexander Barg

Locally repairable codes(LRCs) play important roles in distributed storage systems(DSS). LRCs with small locality have their own advantages since fewer available symbols are needed in the recovery of erased symbols. In this paper, we prove…

Information Theory · Computer Science 2022-07-08 Yuan Gao , Siman Yang

Erasure coding is widely used for massive storage in data centers to achieve high fault tolerance and low storage redundancy. Since the cross-rack communication cost is often high, it is critical to design erasure codes that minimize the…

Information Theory · Computer Science 2019-02-26 Hanxu Hou , Patrick P. C. Lee , Kenneth W. Shum , Yuchong Hu

Locally repairable codes (LRCs) have attracted a lot of attention due to their applications in distributed storage systems. In this paper, we provide new constructions of optimal $(2, \delta)$-LRCs over $\mathbb{F}_q$ with flexible…

Information Theory · Computer Science 2024-10-07 Yuan Gao , Weijun Fang , Jingke Xu , Dong Wang , Sihuang Hu

A locally recoverable (LRC) code is a code over a finite field $\mathbb{F}_q$ such that any erased coordinate of a codeword can be recovered from a small number of other coordinates in that codeword. We construct LRC codes correcting more…

Information Theory · Computer Science 2024-05-01 Carlos Galindo , Fernando Hernando , Carlos Munuera

In large-scale distributed storage systems, erasure coding is employed to ensure reliability against disk failures. Recent work by Kadekodi et al. demonstrates that adapting code parameters to varying disk failure rates can lead to…

Information Theory · Computer Science 2025-08-11 Vinayak Ramkumar , Xiangliang Kong , G. Yeswanth Sai , Myna Vajha , M. Nikhil Krishnan

Locally repairable codes (LRCs) have recently been widely used in distributed storage systems and the LRCs with $(r,\delta)$-locality ($(r,\delta)$-LRCs) attracted a lot of interest for tolerating multiple erasures. Ge et al. constructed…

Information Theory · Computer Science 2023-04-28 Yaxin Wang , Siman Yang

Motivated by applications in distributed storage, the notion of a locally recoverable code (LRC) was introduced a few years back. In an LRC, any coordinate of a codeword is recoverable by accessing only a small number of other coordinates.…

Information Theory · Computer Science 2023-08-01 Arya Mazumdar

In recent years, several classes of codes are introduced to provide some fault-tolerance and guarantee system reliability in distributed storage systems, among which locally repairable codes (LRCs for short) play an important role. However,…

Information Theory · Computer Science 2017-11-21 Jingxue Ma , Gennian Ge

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…

Information Theory · Computer Science 2022-07-18 Liyang Zhou , Zhifang Zhang

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

Distributed storage systems must handle both data heterogeneity, arising from non-uniform access demands, and device heterogeneity, caused by time-varying node reliability. In this paper, we study convertible codes, which enable the…

Information Theory · Computer Science 2026-01-16 Anina Gruica , Benjamin Jany , Stanislav Kruglik

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-03 Frederique Oggier , Anwitaman Datta

A code over a finite alphabet is called locally recoverable (LRC code) if every symbol in the encoding is a function of a small number (at most $r$) other symbols of the codeword. In this paper we introduce a construction of LRC codes on…

Information Theory · Computer Science 2016-11-17 Alexander Barg , Itzhak Tamo , Serge Vladuts