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Sum-rank-metric codes have wide applications in universal error correction, multishot network coding, space-time coding and the construction of partial-MDS codes for repair in distributed storage. Fundamental properties of sum-rank-metric…

Information Theory · Computer Science 2023-07-06 Hao Chen

Erasure codes have been widely considered a promising solution to enhance data reliability at low storage costs. However, in modern geo-distributed storage systems, erasure codes may incur high data access latency as they require data…

Information Theory · Computer Science 2020-12-08 Kaiyang Liu , Jun Peng , Jingrong Wang , Jianping Pan

A new ensemble of structured codes is introduced. These codes are called Quasi Linear Codes (QLC). The QLC's are constructed by taking subsets of linear codes. They have a looser structure compared to linear codes and are not closed under…

Information Theory · Computer Science 2016-02-16 F. Shirani , M. Heidari , S. S. Pradhan

Maximum distance separable (MDS) codes are widely used in distributed storage, but naively repairing a single failure in an $(n,k)$ MDS code requires downloading the full contents of $k$ surviving nodes. Minimum storage regenerating (MSR)…

Information Theory · Computer Science 2026-05-26 Jing Qiu , Weijun Fang , Shu-Tao Xia , Fang-Wei Fu

The problem of exact repair of a failed node in multi-hop networked distributed storage systems is considered. Contrary to the most of the current studies which model the repair process by the direct links from surviving nodes to the new…

Information Theory · Computer Science 2014-01-14 Majid Gerami , Ming Xiao

This chapter deals with the topic of designing reliable and efficient codes for the storage and retrieval of large quantities of data over storage devices that are prone to failure. For long, the traditional objective has been one of…

Information Theory · Computer Science 2020-10-06 Vinayak Ramkumar , Myna Vajha , S. B. Balaji , M. Nikhil Krishnan , Birenjith Sasidharan , P. Vijay Kumar

We construct constant-sized ensembles of linear error-correcting codes over any fixed alphabet that can correct a given fraction of adversarial erasures at rates approaching the Singleton bound arbitrarily closely. We provide several…

Information Theory · Computer Science 2025-04-07 Yeyuan Chen , Mahdi Cheraghchi , Nikhil Shagrithaya

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

Motivated by emerging applications to the edge computing paradigm, we introduce a two-layer erasure-coded fault-tolerant distributed storage system offering atomic access for read and write operations. In edge computing, clients interact…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-01 Kishori M. Konwar , N. Prakash , Nancy Lynch , Muriel Medard

Erasure coding has been recognized as a powerful method to mitigate delays due to slow or straggling nodes in distributed systems. This work shows that erasure coding of data objects can flexibly handle skews in the request rates. Coding…

Information Theory · Computer Science 2021-06-29 Mehmet Aktas , Gauri Joshi , Swanand Kadhe , Fatemeh Kazemi , Emina Soljanin

QR decomposition is an essential operation for solving linear equations and obtaining least-squares solutions. In high-performance computing systems, large-scale parallel QR decomposition often faces node faults. We address this issue by…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-21 Quang Minh Nguyen , Iain Weissburg , Haewon Jeong

Data centres that use consumer-grade disks drives and distributed peer-to-peer systems are unreliable environments to archive data without enough redundancy. Most redundancy schemes are not completely effective for providing high…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-09 Vero Estrada-Galiñanes , Ethan Miller , Pascal Felber , Jehan-François Pâris

Recent developments in storage -- especially in the area of resistive random access memory (ReRAM) -- are attempting to scale the storage density by regarding the information data as two-dimensional (2D), instead of one-dimensional (1D).…

Information Theory · Computer Science 2025-09-04 Viet Hai Le , Thanh Phong Pham , Tuan Thanh Nguyen , Kui Cai , Kees A. Schouhamer Immink

In order to achieve fault tolerance, highly reliable system often require the ability to detect errors as soon as they occur and prevent the speared of erroneous information throughout the system. Thus, the need for codes capable of…

Information Theory · Computer Science 2010-02-08 Muzhir Al-Ani , Qeethara Al-Shayea

The increasing demand for data storage has prompted the exploration of new techniques, with molecular data storage being a promising alternative. In this work, we develop coding schemes for a new storage paradigm that can be represented as…

Information Theory · Computer Science 2025-10-30 Boaz Moav , Ryan Gabrys , Eitan Yaakobi

Products of MDS codes are of major practical importance; for a recent example, they are used in Data Availability Sampling (DAS) in blockchain networks such as Celestia and as part of the Ethereum roadmap. This motivates us to consider…

Information Theory · Computer Science 2026-04-17 Amit Berman , Yaron Shany , Itzhak Tamo

We aim to train a multi-task model such that users can adjust the desired compute budget and relative importance of task performances after deployment, without retraining. This enables optimizing performance for dynamically varying user…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Abhishek Aich , Samuel Schulter , Amit K. Roy-Chowdhury , Manmohan Chandraker , Yumin Suh

Motivated by applications of distributed storage systems to key-value stores, the multi-version coding problem was formulated to efficiently store frequently updated data in asynchronous decentralized storage systems. Inspired by…

Information Theory · Computer Science 2019-03-14 Ramy E. Ali , Viveck R. Cadambe

A Self modifying code is code that modifies its own instructions during execution time. It is nowadays widely used, especially in malware to make the code hard to analyse and to detect by anti-viruses. Thus, the analysis of such self…

Formal Languages and Automata Theory · Computer Science 2019-09-30 Tayssir Touili , Xin Ye

Motivated by applications of distributed storage systems to cloud-based key-value stores, the multi-version coding problem has been recently formulated to efficiently store frequently updated data in asynchronous decentralized storage…

Information Theory · Computer Science 2019-03-12 Ramy E. Ali , Viveck Cadambe