6 papers · 1 filter
The hull of two classical propagation rules and their applications
Yang Li, Shixin Zhu, Edgar Martínez-Moro
In this work, we study and determine the dimensions of Euclidean and Hermitian hulls of two classical propagation rules, namely, the direct sum construction and the $(\mathbf{u},\m…
Several classes of Galois self-orthogonal MDS codes and related applications
Yang Li, Yunfei Su, Shixin Zhu +2
Let be a prime power and be an integer with . -Galois self-orthogonal codes are generalizations of Euclidean self-orthogonal codes () and Hermi…
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…
On Galois hulls of linear codes and new entanglement-assisted quantum error-correcting codes
Yang Li, Shixin Zhu
The Galois hull of a linear code is the intersection of itself and its Galois dual code, which has aroused the interest of researchers in these years. In this paper, we study Galoi…
On MDS Codes With Galois Hulls of Arbitrary Dimensions
Yang Li, Shixin Zhu, Pi Li
The Galois hulls of linear codes are a generalization of the Euclidean and Hermitian hulls of linear codes. In this paper, we study the Galois hulls of (extended) GRS codes and pre…
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…