Double Toeplitz codes and their average weight enumerators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914412861849600 |
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| author | Harada, Masaaki Yamaguchi, Keito |
| author_facet | Harada, Masaaki Yamaguchi, Keito |
| contents | Recently, double Toeplitz codes have been introduced as a generalization of double circulant codes. In this paper, we study the average weight enumerators of double Toeplitz codes. As an application, we consider the existence of double Toeplitz codes over $\mathbb{F}_q$ with some specified minimum weights for $q \in \{2,3,4\}$. We also give a classification of double Toeplitz codes over $\mathbb{F}_q$ with the largest minimum weights for modest lengths and $q \in \{2,3,4\}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20699 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Double Toeplitz codes and their average weight enumerators Harada, Masaaki Yamaguchi, Keito Combinatorics Information Theory 94B05 Recently, double Toeplitz codes have been introduced as a generalization of double circulant codes. In this paper, we study the average weight enumerators of double Toeplitz codes. As an application, we consider the existence of double Toeplitz codes over $\mathbb{F}_q$ with some specified minimum weights for $q \in \{2,3,4\}$. We also give a classification of double Toeplitz codes over $\mathbb{F}_q$ with the largest minimum weights for modest lengths and $q \in \{2,3,4\}$. |
| title | Double Toeplitz codes and their average weight enumerators |
| topic | Combinatorics Information Theory 94B05 |
| url | https://arxiv.org/abs/2603.20699 |