Monimial Matrix Analogue of Yoshida's theorem
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918208224624640 |
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| author | Chakraborty, Ananda |
| author_facet | Chakraborty, Ananda |
| contents | In this paper, we study variants of weight enumerators of linear codes over $\mathbb{F}_q$. We generalize the concept of average complete joint weight enumerators of two linear codes over $\mathbb{F}_q$. We also give its MacWilliams type identities. Then we establish a monomial analogue of Yoshida's theorem for this average complete joint weight enumerators. Finally, we present the generalized representation for average of $g$-fold complete joint weight enumerators for $\mathbb{F}_q$-linear codes and establish a monomial matrix analogue of Yoshida's theorem for average $g$-fold complete joint weight enumerators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14480 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monimial Matrix Analogue of Yoshida's theorem Chakraborty, Ananda Information Theory Combinatorics In this paper, we study variants of weight enumerators of linear codes over $\mathbb{F}_q$. We generalize the concept of average complete joint weight enumerators of two linear codes over $\mathbb{F}_q$. We also give its MacWilliams type identities. Then we establish a monomial analogue of Yoshida's theorem for this average complete joint weight enumerators. Finally, we present the generalized representation for average of $g$-fold complete joint weight enumerators for $\mathbb{F}_q$-linear codes and establish a monomial matrix analogue of Yoshida's theorem for average $g$-fold complete joint weight enumerators. |
| title | Monimial Matrix Analogue of Yoshida's theorem |
| topic | Information Theory Combinatorics |
| url | https://arxiv.org/abs/2511.14480 |