Výsledky vyhľadávania - Welch-Berlekamp decoding algorithm
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Construction and Fast Decoding of Binary Linear Sum-Rank-Metric Codes
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: IEEE 01.12.2025Vydané v IEEE transactions on information theory (01.12.2025)“… Linearized Reed-Solomon codes, sum-rank BCH codes and their Welch-Berlekamp decoding algorithms have been proposed and studied…”
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A simple algorithm for decoding Reed-Solomon codes and its relation to the Welch-Berlekamp algorithm
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: New York IEEE 01.03.2005Vydané v IEEE transactions on information theory (01.03.2005)“…A simple and natural Gao algorithm for decoding algebraic codes is described. Its relation to the Welch-Berlekamp and Euclidean algorithms is given…”
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Correction to "A Simple Algorithm for Decoding Reed-Solomon Codes and Its Relation to the Welch-Berlekamp Algorithm"
ISSN: 0018-9448Vydavateľské údaje: IEEE 01.03.2006Vydané v IEEE transactions on information theory (01.03.2006)Získať plný text
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The Original View of Reed-Solomon Coding and the Welch-Berlekamp Decoding Algorithm
ISBN: 1303343037, 9781303343032Vydavateľské údaje: ProQuest Dissertations & Theses 01.01.2013“… on them. It then derives the Welch-Berlekamp algorithm for solving certain…”
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A simple algorithm for decoding Reed-Solomon codes and its relation to the Welch-Berlekamp algorithm
ISSN: 0018-9448Vydavateľské údaje: New York, NY Institute of Electrical and Electronics Engineers 2005Vydané v IEEE transactions on information theory (2005)Získať plný text
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Parallel Welch-Berlekamp Algorithm
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: IEEE 01.05.2025Vydané v IEEE transactions on information theory (01.05.2025)“…This paper presents new variants of the Welch-Berlekamp algorithm that are favorable to hardware implementation…”
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A simple algorithm for decoding Reed-Solomon codes and its relation to the Welch-Berlekamp algorithm
ISSN: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 06.01.2005Vydané v arXiv.org (06.01.2005)“…A simple and natural Gao algorithm for decoding algebraic codes is described. Its relation to the Welch-Berlekamp and Euclidean algorithms is given…”
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Generalized rational interpolation over commutative rings and remainder decoding
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: New York IEEE 01.04.2004Vydané v IEEE transactions on information theory (01.04.2004)“… Our decoding procedure involves a Welch-Berlekamp (WB)-type algorithm for solving a generalized rational interpolation problem over a commutative ring R with identity…”
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Reliable and Secure Multishot Network Coding Using Linearized Reed-Solomon Codes
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: New York IEEE 01.08.2019Vydané v IEEE transactions on information theory (01.08.2019)“…Multishot network coding is considered in a worst-case adversarial setting in which an omniscient adversary with unbounded computational resources may inject…”
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Polyadic Constacyclic Codes
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: New York IEEE 01.09.2015Vydané v IEEE transactions on information theory (01.09.2015)“…For any given positive integer m, a necessary and sufficient condition for the existence of Type-I m-adic constacyclic codes is given. Furthermore, for any…”
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Modified Welch Berlekamp Algorithm to Decode Reed Solomon Codes
ISSN: 2261-236X, 2274-7214, 2261-236XVydavateľské údaje: Les Ulis EDP Sciences 01.01.2018Vydané v MATEC web of conferences (01.01.2018)“…In this paper, the Reed Solomon Code is decoded using the Welch-Berlekamp Algorithm…”
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On Generalized Reed-Solomon Codes Over Commutative and Noncommutative Rings
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: New York, NY IEEE 01.09.2013Vydané v IEEE transactions on information theory (01.09.2013)“…In this paper, we study generalized Reed-Solomon codes (GRS codes) over commutative and noncommutative rings, we show that the classical Welch-Berlekamp…”
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On the Equivalence between the Welch-Berlekamp Algorithm and the Modular Approach Algorithm
ISSN: 2474-9141Vydavateľské údaje: IEEE 10.08.2023Vydané v IEEE/CIC International Conference on Communications in China - Workshops (Online) (10.08.2023)“…The Welch-Berlekamp (WB) algorithm and the modular approach (MA) algorithm are two distinct algorithms that solve the same rational interpolation problem behind the Reed-Solomon decoding…”
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On the equivalence of two Welch-Berlekamp key equations and their error evaluators
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: New York, NY IEEE 01.01.2005Vydané v IEEE transactions on information theory (01.01.2005)“…We present two lemmas relating polynomials occurring in the derivations of the Welch-Berlekamp (WB…”
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A New Decoding Method for Reed-Solomon Codes Based on FFT and Modular Approach
ISSN: 0090-6778, 1558-0857Vydavateľské údaje: New York IEEE 01.12.2022Vydané v IEEE transactions on communications (01.12.2022)“… In this paper, an efficient algorithm, called the modular approach (MA), is devised for solving the Welch-Berlekamp (WB) key equation…”
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The Welch-Berlekamp and Berlekamp-Massey algorithms
ISBN: 0780324536, 9780780324534“… A new approach, taken by Welch and Berlekamp, is to convert the decoding problem into a rational interpolation problem which can then be solved by the Welch-Berlekamp algorithm…”Vydavateľské údaje: IEEE 1995
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On the minimal interpolation problem and decoding RS codes
ISSN: 0018-9448, 1557-9654Vydavateľské údaje: New York IEEE 01.07.2000Vydané v IEEE transactions on information theory (01.07.2000)“… solved by the Welch-Berlekamp algorithm…”
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Reliability-Based Forward Recursive Algorithms for Algebraic Soft-Decision Decoding of Reed--Solomon Codes
ISSN: 0090-6778, 1558-0857Vydavateľské údaje: New York, NY IEEE 01.07.2007Vydané v IEEE transactions on communications (01.07.2007)“…We propose efficient forward recursive algorithms for algebraic soft-decision list decoding of Reed-Solomon codes, which utilize channel reliability information, and outperform the Koetter-Vardy (KV…”
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Simplified procedure for decoding nonsystematic reed-solomon codes over gf(2m) using euclid's algorithm and the fast fourier transform
ISSN: 0090-6778, 1558-0857Vydavateľské údaje: New York, NY IEEE 01.06.2009Vydané v IEEE transactions on communications (01.06.2009)“…Gao's algorithm similar to Shiozaki's algorithm for decoding nonsystematic Reed-Solomon (RS…”
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Analytic approach to coset–leader decoding leads to extension of the Welch–Berlekamp theorem
ISSN: 0378-3758, 1873-1171Vydavateľské údaje: Lausanne Elsevier B.V 01.04.2001Vydané v Journal of statistical planning and inference (01.04.2001)“…This paper provides a complete proof of the Welch–Berlekamp theorem on which the Welch…”
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