8 papers
Galois self-orthogonal MDS codes with large dimensions
Ruhao Wan, Shixin Zhu
Let be a prime power, be an integer with and . In this paper, for a vector and a -ary linear code , we give some necessary and…
Three classes of propagation rules for generalized Reed-Solomon codes and their applications to EAQECCs
Ruhao Wan, Shixin Zhu
In this paper, we study the Hermitian hulls of generalized Reed-Solomon (GRS) codes over finite fields. For a given class of GRS codes, by extending the length, increasing the dime…
Quantum MDS Codes with length mod
Ruhao Wan
An important family of quantum codes is the quantum maximum-distance-separable (MDS) codes. In this paper, we construct some new classes of quantum MDS codes by generalized Reed-So…
New Quantum MDS codes from Hermitian self-orthogonal generalized Reed-Solomon codes
Ruhao Wan, Shixin Zhu
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 fo…
On the Existence of Galois Self-Dual GRS and TGRS Codes
Shixin Zhu, Ruhao Wan
Let be a prime power and be an integer with . -Galois self-dual codes are generalizations of Euclidean and Hermitian ( with e…
Construction of MDS self-dual codes from generalized Reed-Solomon codes
Ruhao Wan, Shixin Zhu, Jin Li
MDS codes and self-dual codes are important families of classical codes in coding theory. It is of interest to investigate MDS self-dual codes. The existence of MDS self-dual codes…
New MDS self-dual codes over finite fields $\F_{r^2}$
Ruhao Wan, Yang Li, Shixin Zhu
MDS self-dual codes have nice algebraic structures and are uniquely determined by lengths. Recently, the construction of MDS self-dual codes of new lengths has become an important…
MDS Codes with Euclidean and Hermitian Hulls of Flexible Dimensions and Their Applications to EAQECCs
Yang Li, Ruhao Wan, Shixin Zhu
The hull of a linear code is the intersection of itself with its dual code with respect to certain inner product. Both Euclidean and Hermitian hulls are of theorical and practical…