Year: 2024
Type: article
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.
Author: Tulay Yildirim
Institution: Karabük University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407226791