In this paper, we study skew polycyclic codes over the ring Formula: see text where Formula: see text and Formula: see text where Formula: see text is an odd prime. We investigate the structural properties of skew polycyclic codes over Formula: see text through a decomposition theorem. Furthermore, we examine the dual codes of skew polycyclic codes over R, providing necessary and sufficient conditions for a code to be self-dual. We investigate the Gray images of skew polycyclic codes over R, focusing on codes with good parameters. We discuss skew polycyclic codes over the ring Formula: see text with even characteristic and provide several illustrative examples to support the theoretical results.
Gokul et al. (Fri,) studied this question.