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arXiv · 2202.03977

List Decoding of Quaternary Codes in the Lee Metric

Marcus Greferath·Jens Zumbrägel
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Abstract

We present a list decoding algorithm for quaternary negacyclic codes over the Lee metric. To achieve this result, we use a Sudan-Guruswami type list decoding algorithm for Reed-Solomon codes over certain ring alphabets. Our decoding strategy for negacyclic codes over the ring $\mathbb Z_4$ combines the list decoding algorithm by Wu with the Gröbner basis approach for solving a key equation due to Byrne and Fitzpatrick.

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Marcus Greferath, Jens Zumbrägel. 2022-02-08. List Decoding of Quaternary Codes in the Lee Metric. https://arxiv.org/abs/2202.03977

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