Two new classes of Hermitian self-orthogonal non-GRS MDS codes and their applications
Gaojun Luo, Xiwang Cao, Martianus Frederic Ezerman, San Ling · Advances in Mathematics of Communications · 2022
Hermitian self-orthogonal codes form an essential ingredient in the construction of quantum stabilizer codes. In this paper, we present two new classes of Hermitian self-orthogonal MDS codes from twisted generalized Reed-Solomon codes. The constructed codes are monomially inequivalent to generalized Reed-Solomon codes. Two new classes of Hermitian LCD MDS codes can then be derived. Finally, based on the constructed Hermitian self-orthogonal MDS codes, we present two classes of quantum MDS codes with new parameters.