Hulls of Non-Separable Constacyclic Codes over FqR and Their Applications in Constructing New QECCs

Let R=Fq[u1,u2,u3]/⟨ui2=ui,uiuj=ujui=0⟩ and FqR={(a,d)|a∈Fq,d∈R}, where q=pm, p is a prime, and m∈N+. We investigate the algebraic structure of the non-separable constacyclic codes over the mixed-alphabet ring FqR and then determine the generator polynomials and the dimensions of their hulls. As an application, using the construction X, we obtain some new quantum error-correcting codes that are not listed in the online quantum codes database.