2023/02/13 by Wan, Ruhao, Zhu, Shixin
#81P70 #94B05 #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2302.06169
Quantum maximum-distance-separable (MDS for short) codes are an important class of quantum codes. In this paper, by using Hermitian self-orthogonal generalized Reed-Solomon (GRS for short) codes, we construct five new classes of q-ary quantum MDS codes with minimum distance larger than q/2+1. Furthermore, the parameters of our quantum MDS code cannot be obtained from the previous constructions.