Algorithm for solving the Welch-Berlekamp key-equation, with a simplified proof
1993
An alternative technique due to Welch and Berlekamp for decoding Reed-Solomon codes has a key equation different in form from the key equation solved by the conventional Berlekamp-Massey algorithm or by the so-called Euclidean algorithm. The Letter presents an algorithm for solving the key equation which has a simple structure and which is readily shown to work.
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