Results 11 to 20 of about 868,417 (175)

FNT-based reed-solomon erasure codes [PDF]

open access: yes, 2009
This paper presents a new construction of Maximum-Distance Separable (MDS) Reed-Solomon erasure codes based on Fermat Number Transform (FNT). Thanks to FNT, these codes support practical coding and decoding algorithms with complexity O(n log n), where n ...
Soro, Alexandre   +3 more
core   +1 more source

Reed-Solomon Codes (Codici di Reed-Solomon) [PDF]

open access: yes, 2022
This work offers a general overview on Reed-Solomon codes as a subclass of cyclic codes and BCH codes, using a mathematical approach to describe their practical aspects.
Martini, Tommaso
core  

Lifted projective Reed–Solomon codes [PDF]

open access: yes, 2019
International audienceLifted 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.
Lavauzelle, Julien, Julien Lavauzelle
core   +1 more source

Error Probability Mitigation in Quantum Reading Using Classical Codes

open access: yesEntropy, 2021
A general framework describing the statistical discrimination of an ensemble of quantum channels is given by the name quantum reading. Several tools can be applied in quantum reading to reduce the error probability in distinguishing the ensemble of ...
Francisco Revson Fernandes Pereira   +1 more
doaj   +1 more source

Códigos de Reed Solomon [PDF]

open access: yes, 2021
Este trabalho apresenta a versão original dos Códigos de Reed-Solomon publicada em 1960 pelos matemáticos e engenheiros Irving Stoy Reed e Gustave Solomon.
Moura, Renata, Cornelissen, Mariana
core   +1 more source

Codes de Reed-Solomon-Gabidulin [PDF]

open access: yes, 2018
We introduce Reed-Solomon-Gabidulin codes which is, at the same time, an extension to Reed-Solomon codes on the one hand and Gabidulin codes on the other hand.
Caruso, Xavier, Durand, Amaury
core   +1 more source

Performance Assessment of OFDM System using Reed-Solomon Codes over Fading Channels

open access: yesJournal of Electrical, Electronics and Informatics, 2018
This paper study the performance of Orthogonal Frequency Division Multiplexing (OFDM) system over AWGN and Rayleigh fading channels. OFDM performs multi-carrier transmission where all the subcarriers are orthogonal to each other.
N.M.A.E.D. Wirastuti   +2 more
doaj   +1 more source

Error correction by Reed–Solomon codes using its automorphisms

open access: yesВесці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2021
The article explores the syndrome invariants of АГ-group of automorphisms of Reed–Solomon codes (RS-codes) that are a joint group of affine and cyclic permutations. The found real invariants are a set of norms of N Г-orbits that make up one or another АГ-
V. A. Lipnitsky, S. I. Semyonov
doaj   +1 more source

Twisted Reed–Solomon Codes

open access: yes, 2022
In this article, we present a new construction of evaluation codes in the Hamming metric, which we call twisted Reed–Solomon codes. Whereas Reed–Solomon (RS) codes are MDS codes, this need not be the case for twisted RS codes.
Puchinger, Sven   +5 more
core   +1 more source

Efficient Management Technology of Big Data in Distributed Storage Economy Management Field Using Erasure Code

open access: yesJournal of Engineering, Project, and Production Management
With 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
doaj   +1 more source

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