Constructions of Abelian Codes multiplying dimension of cyclic codes
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910320722706432 |
|---|---|
| author | Bernal, José Joaquín Bueno-Carreño, Diana H. Simón, Juan Jacobo |
| author_facet | Bernal, José Joaquín Bueno-Carreño, Diana H. Simón, Juan Jacobo |
| contents | In this note, we apply some techniques developed in [1]-[3] to give a particular construction of bivariate Abelian Codes from cyclic codes, multiplying their dimension and preserving their apparent distance. We show that, in the case of cyclic codes whose maximum BCH bound equals its minimum distance the obtained abelian code verifies the same property; that is, the strong apparent distance and the minimum distance coincide. We finally use this construction to multiply Reed-Solomon codes to abelian codes |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04295 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructions of Abelian Codes multiplying dimension of cyclic codes Bernal, José Joaquín Bueno-Carreño, Diana H. Simón, Juan Jacobo Information Theory In this note, we apply some techniques developed in [1]-[3] to give a particular construction of bivariate Abelian Codes from cyclic codes, multiplying their dimension and preserving their apparent distance. We show that, in the case of cyclic codes whose maximum BCH bound equals its minimum distance the obtained abelian code verifies the same property; that is, the strong apparent distance and the minimum distance coincide. We finally use this construction to multiply Reed-Solomon codes to abelian codes |
| title | Constructions of Abelian Codes multiplying dimension of cyclic codes |
| topic | Information Theory |
| url | https://arxiv.org/abs/2402.04295 |