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Distributed storage codes have important applications in the design of modern storage systems. In a distributed storage system, every storage node has a probability to fail and once an individual storage node fails, it must be reconstructed…

Information Theory · Computer Science 2016-10-27 Chong Shangguan , Gennian Ge

Efficient node repair is a central requirement in distributed storage systems, particularly in high-rate erasure-coded deployments where repair traffic directly affects network overhead and recovery cost. Piggybacking codes reduce the…

Information Theory · Computer Science 2026-05-06 Hao Shi , Zhengyi Jiang , Gefeng Deng , Zhongyi Huang , Hanxu Hou

We present a new 'piggybacking' framework for designing distributed storage codes that are efficient in data-read and download required during node-repair. We illustrate the power of this framework by constructing classes of explicit codes…

Information Theory · Computer Science 2013-02-26 K. V. Rashmi , Nihar B. Shah , Kannan Ramchandran

Piggybacking codes are a special class of MDS array codes that can achieve small repair bandwidth with small sub-packetization by first creating some instances of an $(n,k)$ MDS code, such as a Reed-Solomon (RS) code, and then designing the…

Information Theory · Computer Science 2022-05-31 Zhengyi Jiang , Hanxu Hou , Yunghsiang S. Han , Patrick P. C. Lee , Bo Bai , Zhongyi Huang

As a special class of array codes, $(n,k,m)$ piggybacking codes are MDS codes (i.e., any $k$ out of $n$ nodes can retrieve all data symbols) that can achieve low repair bandwidth for single-node failure with low sub-packetization $m$. In…

Information Theory · Computer Science 2022-09-21 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Hanxu Hou

Piggybacking design has been widely applied in distributed storage systems since it can greatly reduce the repair bandwidth with small sub-packetization. Compared with other existing erasure codes, piggybacking is more convenient to operate…

Information Theory · Computer Science 2022-09-01 Ke Wang , Zhifang Zhang

In 2013, Rashmi et al. proposed the piggybacking design framework to reduce the repair bandwidth of $(n,k;l)$ MDS array codes with small sub-packetization $l$ and it has been studied extensively in recent years. In this work, we propose an…

Information Theory · Computer Science 2025-02-12 Ke Wang

We present the construction of a family of erasure correcting codes for distributed storage that achieve low repair bandwidth and complexity at the expense of a lower fault tolerance. The construction is based on two classes of codes, where…

Information Theory · Computer Science 2018-09-03 Siddhartha Kumar , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström , Eirik Rosnes

In a distributed storage systems (DSS) with $k$ systematic nodes, robustness against node failure is commonly provided by storing redundancy in a number of other nodes and performing repair mechanism to reproduce the content of the failed…

Information Theory · Computer Science 2018-01-01 Kaveh Mahdaviani , Soheil Mohajer , Ashish Khisti

Maximum distance separable (MDS) codes are widely used in distributed storage systems as they provide optimal fault tolerance for a given amount of storage overhead. The seminal work of Dimakis~\emph{et al.} first established a lower bound…

Information Theory · Computer Science 2026-03-24 Zihao Zhang , Guodong Li , Sihuang Hu

The piggybacking framework for designing erasure codes for distributed storage has empirically proven to be very useful, and has been used to design codes with desirable properties, such as low repair bandwidth and complexity. However, the…

Information Theory · Computer Science 2017-07-11 Reyna Hulett , Mary Wootters

This paper presents a construction for high-rate MDS codes that enable bandwidth-efficient repair of a single node. Such MDS codes are also referred to as the minimum storage regenerating (MSR) codes in the distributed storage literature.…

Information Theory · Computer Science 2016-01-26 Ankit Singh Rawat , O. Ozan Koyluoglu , Sriram Vishwanath

The high repair cost of (n,k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of codes, called Regenerating Codes, that optimally trade off storage cost for repair bandwidth. On one end of this spectrum of…

Information Theory · Computer Science 2010-04-19 Changho Suh , Kannan Ramchandran

Regenerating codes for distributed storage have attracted much research interest in the past decade. Such codes trade the bandwidth needed to repair a failed node with the overall amount of data stored in the network. Minimum storage…

Information Theory · Computer Science 2016-02-16 Sreechakra Goparaju , Arman Fazeli , Alexander Vardy

Abundant high-rate (n, k) minimum storage regenerating (MSR) codes have been reported in the literature. However, most of them require contacting all the surviving nodes during a node repair process, resulting in a repair degree of d=n-1.…

Information Theory · Computer Science 2023-05-30 Jie Li , Yi Liu , Xiaohu Tang , Yunghsiang S. Han , Bo Bai , Gong Zhang

High-rate minimum storage regenerating (MSR) codes are known to require a large sub-packetization level, which can make meta-data management difficult and hinder implementation in practical systems. A few maximum distance separable (MDS)…

Information Theory · Computer Science 2023-08-29 Jie Li , Yi Liu , Xiaohu Tang , Yunghsiang S. Han , Bo Bai , Gong Zhang

Minimum storage regenerating (MSR) codes are MDS codes which allow for recovery of any single erased symbol with optimal repair bandwidth, based on the smallest possible fraction of the contents downloaded from each of the other symbols.…

Data Structures and Algorithms · Computer Science 2019-07-10 Venkatesan Guruswami , Haotian Jiang

Partial maximum distance separable (PMDS) codes are a kind of erasure codes where the nodes are divided into multiple groups with each forming an MDS code with a smaller code length, thus they allow repairing a failed node with only a few…

Information Theory · Computer Science 2022-11-15 Jie Li , Xiaohu Tang , Hanxu Hou , Yunghsiang S. Han , Bo Bai , Gong Zhang

This paper generalizes the piggybacking constructions for distributed storage systems by considering various protected instances and piggybacked instances. Analysis demonstrates that the proportion of protected instances determines the…

Information Theory · Computer Science 2017-02-07 Shuai Yuan , Qin Huang , Zulin Wang

Minimum storage regenerating (MSR) codes are a class of maximum distance separable (MDS) array codes capable of repairing any single failed node by downloading the minimum amount of information from each of the helper nodes. However, MSR…

Information Theory · Computer Science 2024-08-30 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo
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