Linear Skew Cyclic Codes over 𝔽 <i> <sub>q</sub> </i> S
Abstract In this study, we focus on skew cyclic codes over the family of rings 𝔽 q S where q is a power of a prime number and S = 𝔽 q + v𝔽 q with v 2 = v . Structural properties of these codes are studied in detail. Obtained results lead us to characterize 𝔽 q S-linear skew cyclic codes. All the minimal spanning sets and generators of these codes are presented. Furthermore, some good 𝔽 q -linear codes are obtained as images of the 𝔽 q S-linear skew cyclic codes under the Gray mapping.
Authors
- Tülay Yıldırım (ORCID: https://orcid.org/0000-0001-9993-5583)
Institutions
- Karabük University (TR)
Publication Details
- Journal
- Analele Universităţii "Ovidius" Constanţa. Seria Matematică
- Published
- 2024-10-01
- DOI
- https://doi.org/10.2478/auom-2024-0035
- Citations
- 2
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.69