Search Results - Welch-Berlekamp decoding algorithm

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

“… 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 by Fedorenko, S.V.

“…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" by Fedorenko, S.V.

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The Original View of Reed-Solomon Coding and the Welch-Berlekamp Decoding Algorithm by Mann, Sarah Edge

“… 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 by FEDORENKO, Sergei V

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

“…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 by Fedorenko, Sergei

“…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 by Armand, M.A.

“… 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 by Martinez-Penas, Umberto, Kschischang, Frank R.

“…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 by Bocong Chen, Dinh, Hai Q., Yun Fan, San Ling

“…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 by Mahmudi, Ali, Achmadi, Sentot, Michael

“…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 by Quintin, Guillaume, Barbier, Morgan, Chabot, Christophe

“…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 by Chen, Chao, Tang, Nianqi, Han, Yunghsiang S., Bai, Baoming

“…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 by Moon, T.K., Gunther, J.H.

“…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 by Tang, Nianqi, Han, Yunghsiang S.

“… 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 by Blackburn, S.R.

“… 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 by Ma, Xiao, Xin-mei, Wang

“… solved by the Welch-Berlekamp algorithm…”
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Reliability-Based Forward Recursive Algorithms for Algebraic Soft-Decision Decoding of Reed--Solomon Codes by Haitao Xia, Cruz, J.R.

“…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 by Lin, T.-C., Chen, P.-D., Truong, T.-K.

“…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 by Xin, Dingjia

“…This paper provides a complete proof of the Welch–Berlekamp theorem on which the Welch…”
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