Research Information System
Quantum Information & Computation, vol.22, no.5-6, pp.427-439, 2022 (Journal Indexed in SCI)
In this paper, we investigate the algebraic structure of the non-local ring $\mathcal{R}_q=\mathbb{F}_q[v]/\langle v^{2}+1\rangle$ and we identify the automorphisms of this ring to study the algebraic structure of the skew constacyclic codes and their dual over it. Furthermore, we give a necessary and sufficient conditions for the skew constacyclic codes over $\mathcal{R}_q$ to be linear complementary dual. Eventually, applying Hermitian linear complementary dual skew constacyclic codes over $\mathcal{R}_q$ and a Gray type map, we give a class of entanglement-assisted quantum codes with maximal entanglement.