Four New Optimal Codes over F<sub>7</sub> and F<sub>9</sub>
In this paper, the problem of constructing an optimallinear code is considered. Four new codes with parameters [18,12,6], [21,16,5] over <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\mathbb{F}_{9}$</tex>, [20,15,5], [19,14,5] over <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\mathbb{F}_{7}$</tex> are determined. Their generator matrices and weight distributions are presented and these four linear codes are new and have better parameters than the known results.
Authors
- Qiang Fu (ORCID: https://orcid.org/0000-0003-4100-2777)
- Yuezhen Ren (ORCID: https://orcid.org/0000-0001-9365-9805)
- Ruipan Yang
- Hao Song
Institutions
- Air Force Engineering University (CN)
Publication Details
- Published
- 2024-08-16
- DOI
- https://doi.org/10.1109/icait62580.2024.10808050
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Shanxi Province