Constacyclic duadic codes over \mathbb {F}}_4$
In this paper, we introduce \omega$ constacyclic Type II duadic codes over \mathbb {F}}_4$ of length $n=3p^t$ where p is a prime number, $p \equiv 1$ (mod 6) and give their main properties. We also obtain a splitting of n such that extended \omega$ constacyclic duadic codes are Hermitian self dual. Moreover, we provide some examples by extended \omega$ constacyclic duadic codes.