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In this paper, we study distributed storage problems over unidirectional ring networks, whose storage nodes form a directed ring and data is transmitted along the same direction. The original data is distributed to store on these nodes.…

Information Theory · Computer Science 2014-04-15 Jiyong Lu , Xuan Guang , Fang-Wei Fu

This paper considers data secrecy in distributed storage systems (DSSs) using maximally recoverable locally repairable codes (MR-LRCs). Conventional MR-LRCs are in general not secure against eavesdroppers who can observe the transmitted…

Information Theory · Computer Science 2024-05-13 Tim Janz , Hedongliang Liu , Rawad Bitar , Frank R. Kschischang

We consider the problem of constructing linear Maximum Distance Separable (MDS) error-correcting codes with generator matrices that are sparsest and balanced. In this context, sparsest means that every row has the least possible number of…

Information Theory · Computer Science 2016-01-28 Wael Halbawi , Zihan Liu , Babak Hassibi

Streaming codes are a class of packet-level erasure codes that are designed with the goal of ensuring recovery in low-latency fashion, of erased packets over a communication network. It is well-known in the streaming code literature, that…

Information Theory · Computer Science 2021-09-08 Vinayak Ramkumar , Myna Vajha , P. Vijay Kumar

Distributed storage systems based on equidistant constant dimension codes are presented. These equidistant codes are based on the Pl\"{u}cker embedding, which is essential in the repair and the reconstruction algorithms. These systems…

Information Theory · Computer Science 2014-06-25 Netanel Raviv , Tuvi Etzion

This paper studies the fundamental problem of data persistency for a general family of redundancy schemes in distributed storage systems, called replicated erasure codes. Namely, we analyze two strategies of replicated erasure codes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Roy Friedman , Rafał Kapelko , Karol Marchwicki

We propose a generic transformation that can convert any nonbinary $(n=k+r,k)$ maximum distance separable (MDS) code into another $(n,k)$ MDS code over the same field such that 1) some arbitrarily chosen $r$ nodes have the optimal repair…

Information Theory · Computer Science 2018-08-24 Jie Li , Xiaohu Tang , Chao Tian

For high-rate linear systematic maximum distance separable (MDS) codes, most early constructions could initially optimally repair all the systematic nodes but not all the parity nodes. Fortunately, this issue was first solved by Li et al.…

Information Theory · Computer Science 2021-11-09 Jie Li , Xiaohu Tang , Camilla Hollanti

Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the…

Information Theory · Computer Science 2014-06-26 Yunghsiang Han , Hung-Ta Pai , Rong Zheng , Pramod K. Varshney

The increase in data storage and power consumption at data-centers has made it imperative to design energy efficient Distributed Storage Systems (DSS). The energy efficiency of DSS is strongly influenced not only by the volume of data,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-25 Akshay Kumar , Ravi Tandon , T. Charles Clancy

This paper proposes an erasure correcting code and its systematic form for the distributed storage system. The proposed codes are encoded by exclusive OR and bit-level shift operation. By the shift operation, the encoded packets are…

Information Theory · Computer Science 2020-01-08 Yuta Hanaki , Takayuki Nozaki

Two widely studied models of multiple-node repair in distributed storage systems are centralized repair and cooperative repair. The centralized model assumes that all the failed nodes are recreated in one location, while the cooperative one…

Information Theory · Computer Science 2018-07-12 Min Ye , Alexander Barg

Maximum distance separable (MDS) array codes are widely employed in modern distributed storage systems to provide high data reliability with small storage overhead. Compared with the data access latency of the entire file, the data access…

Information Theory · Computer Science 2025-01-22 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Linqi Song , Hanxu Hou

Locally repairable convolutional codes (LRCCs) for distributed storage systems (DSSs) are introduced in this work. They enable local repair, for a single node erasure (or more generally, $ \partial - 1 $ erasures per local group), and…

Information Theory · Computer Science 2020-12-08 Umberto Martínez-Peñas , Diego Napp

Fractional repetition (FR) codes are a family of repair-efficient storage codes that provide exact and uncoded node repair at the minimum bandwidth regenerating point. The advantageous repair properties are achieved by a tailor-made…

Information Theory · Computer Science 2020-05-15 Bing Zhu , Hui Li , Kenneth W. Shum , Shuo-Yen Robert Li

Clustered distributed storage models real data centers where intra- and cross-cluster repair bandwidths are different. In this paper, exact-repair minimum-storage-regenerating (MSR) codes achieving capacity of clustered distributed storage…

Information Theory · Computer Science 2018-01-09 Jy-yong Sohn , Beongjun Choi , Jaekyun Moon

This short note revisits the problem of designing secure minimum storage regenerating (MSR) codes for distributed storage systems. A secure MSR code ensures that a distributed storage system does not reveal the stored information to a…

Information Theory · Computer Science 2016-08-08 Ankit Singh Rawat

Petabyte-scale distributed storage systems are currently transitioning to erasure codes to achieve higher storage efficiency. Classical codes like Reed-Solomon are highly sub-optimal for distributed environments due to their high overhead…

Information Theory · Computer Science 2013-11-07 Itzhak Tamo , Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Erasure coding is a storage-efficient alternative to replication for achieving reliable data backup in distributed storage systems. During the storage process, traditional erasure codes require a unique source node to create and upload all…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Lluis Pamies-Juarez , Anwitaman Datta , Frédérique Oggier

Distributed storage systems for large clusters typically use replication to provide reliability. Recently, erasure codes have been used to reduce the large storage overhead of three-replicated systems. Reed-Solomon codes are the standard…