Double skew cyclic codes over Fq + vFq

In order to get a better code rate, this study focuses on the construction of double skew cyclic codes over the ring R = F-q + v(q) with 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 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 R .