The construction of quantum maximum distance separable (MDS for short) codes is one of the hot issues in quantum information theory. As far as we know, researchers have done a lot of constructive work in the construction of quantum MDS codes. However, the known results do not cover all parameters. In this paper, we propose an efficient construction implemented by concatenating two existing quantum MDS codes. Compared to a previous work (Fang and Luo in Quantum Inf Process 19(1):16, 2020), we relax the restrictions...
