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arXiv · 0908.2198

The Berlekamp-Massey Algorithm and the Euclidean Algorithm: a Closer Link

Maria Bras-Amorós·Michael E. O'Sullivan
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Abstract

The two primary decoding algorithms for Reed-Solomon codes are the Berlekamp-Massey algorithm and the Sugiyama et al. adaptation of the Euclidean algorithm, both designed to solve a key equation. In this article an alternative version of the key equation and a new way to use the Euclidean algorithm to solve it are presented, which yield the Berlekamp-Massey algorithm. This results in a new, simpler, and compacter presentation of the Berlekamp-Massey algorithm.

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Maria Bras-Amorós, Michael E. O'Sullivan. 2009-08-15. The Berlekamp-Massey Algorithm and the Euclidean Algorithm: a Closer Link. https://arxiv.org/abs/0908.2198

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