Shape enumerators of self-dual NRT codes over finite fields
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917830769770496 |
|---|---|
| author | Chen, Yin Zhang, Runxuan |
| author_facet | Chen, Yin Zhang, Runxuan |
| contents | We use invariant theory of finite groups to study shape enumerators of self-dual linear codes in a finite NRT metric space. We provide a new approach that avoids applying Molien's formula to compute all possible shape enumerators. We also explicitly compute the shape enumerators of some low-dimensional self-dual NRT codes over an arbitrary finite field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10470 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shape enumerators of self-dual NRT codes over finite fields Chen, Yin Zhang, Runxuan Information Theory 94B50, 13A50 We use invariant theory of finite groups to study shape enumerators of self-dual linear codes in a finite NRT metric space. We provide a new approach that avoids applying Molien's formula to compute all possible shape enumerators. We also explicitly compute the shape enumerators of some low-dimensional self-dual NRT codes over an arbitrary finite field. |
| title | Shape enumerators of self-dual NRT codes over finite fields |
| topic | Information Theory 94B50, 13A50 |
| url | https://arxiv.org/abs/2401.10470 |