Double skew cyclic codes over \(\mathbb {F}_q+v\mathbb {F}_q\)

In order to get a better code rate, this study focuses on the construction of double skew cyclic codes over the ring \(\textrm{R}= \mathbb {F}_q+v\mathbb {F}_q\) $\text{R}={\mathbb{F}}_q+v{\mathbb{F}}_q$ with \(v^2=v\) $v^2=v$ , where q is a prime power. We investigate the generator polynomials, minimal spanning sets, generator matrices, and the dual codes over the ring \(\textrm{R}\) $\text{R}$ . As an implementation, the obtained results are illustrated with some suitable examples. Here, we introduce a construction for new generator matrices and thus achieve codes with improved parameters compared to those available in the existing literature. Finally, we tabulate our obtained codes over the ring \(\textrm{R}\) $\text{R}$ .