In this paper, we study polycyclic codes over the ring Rl = Fqw / 〈wl − 1〉 with q = pk, where k is a positive integer and p is an odd prime. We explore LCD annihilator, self-dual, self-orthogonal codes over Rl and polycyclic codes over Rl. Moreover, we provide a structure of entanglement-assisted quantum error-correcting codes based on the developed polycyclic codes through the inclusion of dual contained conditions. Subsequently, some LCD hull code-derived entanglement-assisted quantum error-correcting code examples are presented.
Radhakrishnan et al. (Wed,) studied this question.