A Class of Binary Codes Using a Specific Automorphism Group
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| Titel: | A Class of Binary Codes Using a Specific Automorphism Group |
|---|---|
| Autoren: | Driss Harzalla |
| Quelle: | Mathematics ; Volume 12 ; Issue 24 ; Pages: 3962 |
| Verlagsinformationen: | Multidisciplinary Digital Publishing Institute |
| Publikationsjahr: | 2024 |
| Bestand: | MDPI Open Access Publishing |
| Schlagwörter: | binary linear code, self-orthogonal code, automorphism group, group actions, representation theory |
| Beschreibung: | In this article, we showcase PSL(3,4) as the automorphism group for a specific class of three linear binary codes, C1, C2 and C3, with dimension 9. The demonstration involves leveraging the action of the group PSL(3,4), represented by invertible matrices of size 9 by 9 up to isomorphism, on the vector space F29. Additionally, we establish that these codes exhibit a three-weight self-orthogonal property. All computations presented in this paper were performed using the guava package of GAP (Groups, Algorithms, Programming) a system designed for computational discrete algebra. |
| Publikationsart: | text |
| Dateibeschreibung: | application/pdf |
| Sprache: | English |
| Relation: | E: Applied Mathematics; https://dx.doi.org/10.3390/math12243962 |
| DOI: | 10.3390/math12243962 |
| Verfügbarkeit: | https://doi.org/10.3390/math12243962 |
| Rights: | https://creativecommons.org/licenses/by/4.0/ |
| Dokumentencode: | edsbas.EAAD1FC5 |
| Datenbank: | BASE |
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