Scalar products and Left LCD codes
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916481811349504 |
|---|---|
| author | Bennenni, Nabil Leroy, André |
| author_facet | Bennenni, Nabil Leroy, André |
| contents | In this article, we introduce new scalar products over finite rings via additive isomorphisms. This allows us to define new notions of right (respectively left) orthogonal codes, that are not necessarily linear. This leads to definitions of right (resp. left) dual codes and left LCD codes similar to the classical LCD codes.
Furthermore, we provide necessary and sufficient conditions for the existence of these codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09829 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scalar products and Left LCD codes Bennenni, Nabil Leroy, André Rings and Algebras 94B05, 16S50 In this article, we introduce new scalar products over finite rings via additive isomorphisms. This allows us to define new notions of right (respectively left) orthogonal codes, that are not necessarily linear. This leads to definitions of right (resp. left) dual codes and left LCD codes similar to the classical LCD codes. Furthermore, we provide necessary and sufficient conditions for the existence of these codes. |
| title | Scalar products and Left LCD codes |
| topic | Rings and Algebras 94B05, 16S50 |
| url | https://arxiv.org/abs/2411.09829 |