Quantum Codes from Generalized Reed-Solomon Codes and Matrix-Product Codes

One of the central tasks in quantum error-correction is to co nstruct quantum codes that have good parameters. In this pap er, we construct three new classes of quantum MDS codes from clas si al Hermitian self-orthogonal generalized Reed-Solomo n c des. We also present some classes of quantum codes from matrix-pr oduct codes. It turns out that many of our… (More)