New quantum codes from Hermitian dual-containing codes
Xiusheng Liu, Long Yu, Hualu Liu · International Journal of Quantum Information · 2019
Hermitian dual-containing codes play an important role in the constructing quantum codes. In this paper, we present a new criterion of Hermitian dual-containing code based on the rank of generator matrix for a linear code. Then, using the criterion, we construct a class of new quantum maximum-distance-separable (MDS) codes and some new quantum codes.