On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction
arXiv:2508.2151523.41 citationsh-index: 1
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Provides a theoretical relation for weight distributions, potentially useful for coding theory researchers working on concatenated codes.
The paper reveals a relation between the weight distribution of a concatenated code ensemble based on the Plotkin construction and those of its component codes, which may aid in calculating ensemble weight distributions for codes like Reed-Muller codes.
In this note, we reveal a relation between the weight distribution of a concatenated code ensemble based on the Plotkin construction and those of its component codes. The relation may find applications in the calculation of the ensemble weight distributions for many codes, including Reed-Muller (RM)-like codes.