| Autor: |
Hyun Jin Kim, Whan-Hyuk Choi |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
IEEE Access, Vol 12, Pp 1117-1129 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2169-3536 |
| DOI: |
10.1109/ACCESS.2023.3347408 |
| Popis: |
In this study, we introduce bisymmetric self-dual codes over the finite field ${\mathbb F}_{2}$ of order two. We developed a method to generate binary bisymmetric self-dual codes from a small-length bisymmetric self-dual code by increasing its length. Using this method, we produced binary bisymmetric self-dual codes and discovered that numerous such codes exhibit favorable parameters. Also, we defined the map from binary bisymmetric self-dual codes to reversible self-dual codes over the ring ${\mathbb F}_{2}+u {\mathbb F}_{2}$ . This implies that there exists a one-to-one correspondence between the bisymmetric code over ${\mathbb F}_{2}$ and the reversible self-dual code over ${\mathbb F}_{2}+u {\mathbb F}_{2}$ . Consequently, using this map on generated bisymmetric self-dual codes, we obtained reversible self-dual codes over ${\mathbb F}_{2}+u {\mathbb F}_{2}$ , which were difficult to obtain using previously known methods. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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