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A Topological View of Reed–Solomon Codes
Mathematics, 2021 We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve.
Alberto Besana, Cristina Martínez
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Proximity Gaps for Reed–Solomon Codes
2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS), 2020 A collection of sets displays a proximity gap with respect to some property if for every set in the collection, either (i) all members are δ-close to the property in relative Hamming distance or (ii) only a tiny fraction of members are δ-close to the property.
Eli Ben-Sasson +4 more
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Journal of Engineering, Project, and Production ManagementWith the growth of big data, the application of distributed storage is becoming increasingly widespread. Traditional Erasure Codes (ECs) are computationally intensive in distributed storage systems and inefficient for managing large-scale economic data ...
Xin Liu
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Producto de códigos Reed Solomon [PDF]
, 2023 En este trabajo se estudia el producto de códigos correctores de errores y algoritmos de decodificación para estos, a través del ejemplo del producto de códigos Reed-Solomon. Además se abordan otros conceptos de la teoría de códigos correctores, como la
Ibarlucea González, Pablo
core
Lifted projective Reed–Solomon codes [PDF]
Designs, Codes and Cryptography, 2018 Lifted Reed-Solomon codes, introduced by Guo, Kopparty and Sudan in 2013, are known as one of the few families of high-rate locally correctable codes. They are built through the evaluation over the affine space of multivariate polynomials whose restriction along any affine line can be interpolated as a low degree univariate polynomial.
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Reed-Solomon Coded Cooperative Spatial Modulation Based on Nested Construction for Wireless Communication [PDF]
Radioengineering, 2021 This paper proposes the Reed-Solomon coded cooperative spatial modulation (RSCC-SM) scheme based on nested construction of two Reed-Solomon (RS) codes over quasi-static Rayleigh fading channel.
C. L. Zhao, F. F. Yang, D. K. Waweru
doaj
Majority‐Voting Overlapping Method for Error Correction in DNA Data Storage
Advanced Intelligent Discovery, EarlyView.We propose an overlapping‐based majority‐voting method for DNA data storage error correction. By aligning multiple reads and choosing the most frequent base per position, it suppresses substitution errors without prior models. Validated on synthetic and real sequencing data, it achieves high‐fidelity, scalable, and cost‐effective reconstruction ...
Thi Bich Ngoc Nguyen +5 more
wiley +1 more source
Desenvolvimento em linguagem de descrição de hardware de codificador e decodificador Reed-Solomon [PDF]
, 2014 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico, Programa de Pós-Graduação em Engenharia Elétrica, Florianópolis, 2014.Atualmente, diversos sistemas de comunicação demandam grandes volumes de tráfego de dados para ...
Grimm, Tomás
core
Business Strategy and the Environment, EarlyView.ABSTRACT Given the growing pressure for indigenous stakeholder engagement, this paper explores the extent and nature of indigenous stakeholder engagement disclosures in the sustainability reporting of Australian mining companies. Drawing on stakeholder theory and legitimacy theory, this study explores how large Australian mining companies disclose ...
Md. Moazzem Hossain +5 more
wiley +1 more source
International Islamic University Malaysia Engineering JournalThis paper presents a comparative analysis of Forward Error Correction (FEC) schemes in AX.25-based Automatic Packet Reporting System (APRS) communications using AFSK modulation through GNU Radio simulations.
Rifki Ardinal +4 more
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