On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914619909472256 |
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| author | Ma, Xiao |
| author_facet | Ma, Xiao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction Ma, Xiao Information Theory 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. |
| title | On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction |
| topic | Information Theory |
| url | https://arxiv.org/abs/2508.21515 |