<inline-formula><tex-math id="M1">$ t_1 $</tex-math></inline-formula>-partitioned Euclidean orthogonal MP codes and their application to asymmetric quantum codes

In this paper, we first give the definition of $ t_1 $-partitioned Euclidean orthogonal matrix-product (MP) codes over finite fields. We then provide a criterion for $ t_1 $-partitioned Euclidean orthogonal MP codes over finite fields to be Euclidean dual-containing. Further, we exhibit a new construction method for asymmetric quantum codes by using this criterion. This construction is applied to obtain six new infinite families of asymmetric quantum codes. In addition, we compare our asymmetric quantum codes with previously known asymmetric quantum codes or quantum codes available in the literature. As can be seen, our obtained asymmetric quantum codes have better parameters than the asymmetric quantum codes or quantum codes available in the literature.