A transform approach to polycyclic and serial codes over rings
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915008820019200 |
|---|---|
| author | Bajalan, Maryam Martínez-Moro, Edgar Szabo, Steve |
| author_facet | Bajalan, Maryam Martínez-Moro, Edgar Szabo, Steve |
| contents | In this paper, a transform approach is used for polycyclic and serial codes over finite local rings in the case that the defining polynomials have no multiple roots. This allows us to study them in terms of linear algebra and invariant subspaces as well as understand the duality in terms of the transform domain. We also make a characterization of when two polycyclic ambient spaces are Hamming-isometric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_05046 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A transform approach to polycyclic and serial codes over rings Bajalan, Maryam Martínez-Moro, Edgar Szabo, Steve Information Theory In this paper, a transform approach is used for polycyclic and serial codes over finite local rings in the case that the defining polynomials have no multiple roots. This allows us to study them in terms of linear algebra and invariant subspaces as well as understand the duality in terms of the transform domain. We also make a characterization of when two polycyclic ambient spaces are Hamming-isometric. |
| title | A transform approach to polycyclic and serial codes over rings |
| topic | Information Theory |
| url | https://arxiv.org/abs/2105.05046 |