Structural properties of skew-cyclic codes over a finite ring
In this article we consider the notion of skew-cyclic codes over finite rings with derivations, as introduced by Boucher and Ulmer (2014). We investigate the structural properties of skew-cyclic codes over the finite ring ℤ4+vℤ4, where v2=v, with a derivation on ℤ4+vℤ4. As an application, we provide...
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| Veröffentlicht in: | AIP Conference Proceedings 2022-12, Vol.2641 (1) |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this article we consider the notion of skew-cyclic codes over finite rings with derivations, as introduced by Boucher and Ulmer (2014). We investigate the structural properties of skew-cyclic codes over the finite ring ℤ4+vℤ4, where v2=v, with a derivation on ℤ4+vℤ4. As an application, we provide several optimal linear codes over ℤ4 constructed or derived from the skew-cyclic codes mentioned above. |
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| ISSN: | 0094-243X 1551-7616 |
| DOI: | 10.1063/5.0114984 |