One central theme in quantum error-correction is to construct quantum codes that have a
large minimum distance. Quantum maximal distance separable (MDS) codes are optimal in …

Quantum maximum-distance-separable (MDS) codes form an important class of quantum
codes. To get q-ary quantum MDS codes, one of the effective ways is to find linear MDS …

Let be a prime power and be an integer with. The-Galois hull of classical linear codes is a
generalization of the Euclidean hull and Hermitian hull. We provide a necessary and …

Abstract The intersection C∩ C⊥ H of a linear code C⊂ F q 2 n and its Hermitian dual C⊥
H is called the Hermitian hull of this code. A linear code C⊂ F q 2 n satisfying C⊂ C⊥ H is …

The entanglement-assisted stabilizer formalism provides a useful framework for constructing
quantum error-correcting codes (QECC), which can transform arbitrary classical linear codes …

Quantum maximum-distance-separable (MDS) codes form an important class of quantum
codes. It is very hard to construct quantum MDS codes with relatively large minimum …

We construct quantum MDS codes with parameters\! q^ 2+ 1, q^ 2+ 3-2d, d\! _q q 2+ 1, q 2+
3-2 d, dq for all d\leqslant q+ 1 d⩽ q+ 1, d ≠ qd≠ q. These codes are shown to exist by …

Let p be a prime and let q be a power of p. In this paper, by using generalized Reed–
Solomon (GRS for short) codes and extended GRS codes, we construct two new classes of …

It has become common knowledge that constructing q-ary quantum MDS codes with
minimum distance bigger than q/2+ 1 q/2+ 1 is significantly more difficult than constructing …

It is an important task to construct quantum maximum-distance-separable (MDS) codes with
good parameters. In the present paper, we provide six new classes of-ary quantum MDS …