List Decoding of Quaternary Codes in the Lee Metric
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 Z4 combines the list decoding algorithm by Wu with the Gr\"obner basis approach for solving a key equation due to Byrne and Fitzpatrick.
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