Good rate QECCs from the quantum construction X

In this paper, we establish three methods of constructing quantum error-correcting codes (QECCs) via quantum construction X of the Euclidean dual over finite fields. Then, we construct six classes of new QECCs. In addition, our obtained QECCs have the rate better than the ones available in the literature.

Automated summary

In this paper, we propose three methods for constructing quantum error-correcting codes (QECCs) through the quantum construction X of the Euclidean dual over finite fields. We then construct six new classes of QECCs. Additionally, the obtained QECCs have a higher rate than those available in the literature.