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Sharding distributed ledgers is a promising on-chain solution for scaling blockchains but lacks formal grounds, nurturing skepticism on whether such complex systems can scale blockchains securely. We fill this gap by introducing the first…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-23 Georgia Avarikioti , Antoine Desjardins , Eleftherios Kokoris-Kogias , Roger Wattenhofer

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

Regenerating codes are a class of distributed storage codes that optimally trade the bandwidth needed for repair of a failed node with the amount of data stored per node of the network. Minimum Storage Regenerating (MSR) codes minimize…

Information Theory · Computer Science 2011-07-27 K. V. Rashmi , Nihar B. Shah , P. Vijay Kumar

The minimum storage rack-aware regenerating (MSRR) code is a variation of regenerating codes that achieves the optimal repair bandwidth for a single node failure in the rack-aware model. The authors in~\cite{Chen-Barg2019}…

Information Theory · Computer Science 2021-09-20 Jiaojiao Wang , Dabin Zheng , Shenghua Li

A promising way to overcome the scalability limitations of the current blockchain is to use sharding, which is to split the transaction processing among multiple, smaller groups of nodes. A well-performed blockchain sharding system requires…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-31 Mingzhe Li , You Lin , Wei Wang , Jin Zhang

Sharding is the prevalent approach to breaking the trilemma of simultaneously achieving decentralization, security, and scalability in traditional blockchain systems, which are implemented as replicated state machines relying on atomic…

Cryptography and Security · Computer Science 2021-03-01 Yizhong Liu , Jianwei Liu , Marcos Antonio Vaz Salles , Zongyang Zhang , Tong Li , Bin Hu , Fritz Henglein , Rongxing Lu

The newly presented $(k+2,k)$ Hadamard minimum storage regenerating (MSR) code is the first class of high rate storage code with optimal repair property for all single node failures. In this paper, we propose a new simple repair strategy,…

Information Theory · Computer Science 2013-12-19 Xiaohu Tang , Bin Yang , Jie Li

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

In coding for distributed storage systems, efficient data reconstruction and repair through accessing a predefined number of arbitrarily chosen storage nodes is guaranteed by regenerating codes. Traditionally, code parameters, specially the…

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

Integrating sharded blockchain with IoT presents a solution for trust issues and optimized data flow. Sharding boosts blockchain scalability by dividing its nodes into parallel shards, yet it's vulnerable to the $1\%$ attacks where…

Cryptography and Security · Computer Science 2024-01-02 Zixu Zhang , Guangsheng Yu , Caijun Sun , Xu Wang , Ying Wang , Ming Zhang , Wei Ni , Ren Ping Liu , Andrew Reeves , Nektarios Georgalas

Sharding has emerged as a critical solution to address the scalability challenges faced by blockchain networks, enabling them to achieve higher transaction throughput, reduced latency, and optimized resource usage. This paper investigates…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-25 Ziwei Wang , Cong Wu , Paolo Tasca

Regenerating codes (RCs) can significantly reduce the repair-bandwidth of distributed storage networks. Initially, the analysis of RCs was based on the assumption that during the repair process, the newcomer does not distinguish (among all…

Information Theory · Computer Science 2016-11-15 Imad Ahmad , Chih-Chun Wang

A network coding-based scheme is proposed to improve the energy efficiency of distributed storage systems in WSNs (wireless sensor networks), which mainly focuses on two problems: firstly, consideration is given to effective distributed…

Networking and Internet Architecture · Computer Science 2013-04-08 Wang Lei , Yang Yuwang , Zhao Wei , Lu Wei

Full nodes, which synchronize the entire blockchain history and independently validate all the blocks, form the backbone of any blockchain network by playing a vital role in ensuring security properties. On the other hand, a user running a…

Cryptography and Security · Computer Science 2019-07-01 Swanand Kadhe , Jichan Chung , Kannan Ramchandran

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

Distributed storage systems support failures of individual devices by the use of replication or erasure correcting codes. While erasure correcting codes offer a better storage efficiency than replication for similar fault tolerance, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-10 Nicolas Le Scouarnec

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…

Blockchain Sharding is a blockchain performance enhancement approach. By splitting a blockchain into several parallel-run committees (shards), it helps increase transaction throughput, reduce computational resources required, and increase…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-06 Yibin Xu , Jianhua Shao , Yangyu Huang , Tijs Slaats , Boris Düdder

Digital contents in large scale distributed storage systems may have different reliability and access delay requirements, and for this reason, erasure codes with different strengths need to be utilized to achieve the best storage…

Information Theory · Computer Science 2016-04-29 Chao Tian , Tie Liu

In a distributed storage system, code symbols are dispersed across space in nodes or storage units as opposed to time. In settings such as that of a large data center, an important consideration is the efficient repair of a failed node.…

Information Theory · Computer Science 2018-06-13 S. B. Balaji , M. Nikhil Krishnan , Myna Vajha , Vinayak Ramkumar , Birenjith Sasidharan , P. Vijay Kumar