Výsledky vyhľadávania - Welch-Berlekamp decoding algorithm

  1. 1

    Construction and Fast Decoding of Binary Linear Sum-Rank-Metric Codes Autor Chen, Hao, Cheng, Zhiqiang, Qi, Yanfeng

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: IEEE 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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    Journal Article
  2. 2

    A simple algorithm for decoding Reed-Solomon codes and its relation to the Welch-Berlekamp algorithm Autor Fedorenko, S.V.

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: New York IEEE 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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    Journal Article
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    The Original View of Reed-Solomon Coding and the Welch-Berlekamp Decoding Algorithm Autor Mann, Sarah Edge

    ISBN: 1303343037, 9781303343032
    Vydavateľské údaje: ProQuest Dissertations & Theses 01.01.2013
    “… on them. It then derives the Welch-Berlekamp algorithm for solving certain…”
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    Dissertation
  5. 5

    A simple algorithm for decoding Reed-Solomon codes and its relation to the Welch-Berlekamp algorithm Autor FEDORENKO, Sergei V

    ISSN: 0018-9448
    Vydavateľské údaje: New York, NY Institute of Electrical and Electronics Engineers 2005
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    Journal Article
  6. 6

    Parallel Welch-Berlekamp Algorithm Autor Chen, Chao, Han, Yunghsiang S., Tang, Nianqi, Ma, Xiao, Bai, Baoming

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: IEEE 01.05.2025
    “…This paper presents new variants of the Welch-Berlekamp algorithm that are favorable to hardware implementation…”
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    Journal Article
  7. 7

    A simple algorithm for decoding Reed-Solomon codes and its relation to the Welch-Berlekamp algorithm Autor Fedorenko, Sergei

    ISSN: 2331-8422
    Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 06.01.2005
    Vydané 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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    Paper
  8. 8

    Generalized rational interpolation over commutative rings and remainder decoding Autor Armand, M.A.

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: New York IEEE 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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    Journal Article
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    Reliable and Secure Multishot Network Coding Using Linearized Reed-Solomon Codes Autor Martinez-Penas, Umberto, Kschischang, Frank R.

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: New York IEEE 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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    Journal Article
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    Polyadic Constacyclic Codes Autor Bocong Chen, Dinh, Hai Q., Yun Fan, San Ling

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: New York IEEE 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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    Journal Article
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    Modified Welch Berlekamp Algorithm to Decode Reed Solomon Codes Autor Mahmudi, Ali, Achmadi, Sentot, Michael

    ISSN: 2261-236X, 2274-7214, 2261-236X
    Vydavateľské údaje: Les Ulis EDP Sciences 01.01.2018
    Vydané 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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    Journal Article Konferenčný príspevok..
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    On Generalized Reed-Solomon Codes Over Commutative and Noncommutative Rings Autor Quintin, Guillaume, Barbier, Morgan, Chabot, Christophe

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: New York, NY IEEE 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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    Journal Article
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    On the Equivalence between the Welch-Berlekamp Algorithm and the Modular Approach Algorithm Autor Chen, Chao, Tang, Nianqi, Han, Yunghsiang S., Bai, Baoming

    ISSN: 2474-9141
    Vydavateľské údaje: IEEE 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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    Konferenčný príspevok..
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    On the equivalence of two Welch-Berlekamp key equations and their error evaluators Autor Moon, T.K., Gunther, J.H.

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: New York, NY IEEE 01.01.2005
    “…We present two lemmas relating polynomials occurring in the derivations of the Welch-Berlekamp (WB…”
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    Journal Article
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    A New Decoding Method for Reed-Solomon Codes Based on FFT and Modular Approach Autor Tang, Nianqi, Han, Yunghsiang S.

    ISSN: 0090-6778, 1558-0857
    Vydavateľské údaje: New York IEEE 01.12.2022
    Vydané 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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    Journal Article
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    The Welch-Berlekamp and Berlekamp-Massey algorithms Autor Blackburn, S.R.

    ISBN: 0780324536, 9780780324534
    Vydavateľské údaje: IEEE 1995
    “… 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…”
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    On the minimal interpolation problem and decoding RS codes Autor Ma, Xiao, Xin-mei, Wang

    ISSN: 0018-9448, 1557-9654
    Vydavateľské údaje: New York IEEE 01.07.2000
    “… solved by the Welch-Berlekamp algorithm…”
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    Journal Article
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    Reliability-Based Forward Recursive Algorithms for Algebraic Soft-Decision Decoding of Reed--Solomon Codes Autor Haitao Xia, Cruz, J.R.

    ISSN: 0090-6778, 1558-0857
    Vydavateľské údaje: New York, NY IEEE 01.07.2007
    Vydané 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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    Journal Article
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    Simplified procedure for decoding nonsystematic reed-solomon codes over gf(2m) using euclid's algorithm and the fast fourier transform Autor Lin, T.-C., Chen, P.-D., Truong, T.-K.

    ISSN: 0090-6778, 1558-0857
    Vydavateľské údaje: New York, NY IEEE 01.06.2009
    Vydané 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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    Journal Article
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    Analytic approach to coset–leader decoding leads to extension of the WelchBerlekamp theorem Autor Xin, Dingjia

    ISSN: 0378-3758, 1873-1171
    Vydavateľské údaje: Lausanne Elsevier B.V 01.04.2001
    “…This paper provides a complete proof of the WelchBerlekamp theorem on which the Welch…”
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