Three classes of propagation rules for generalized Reed-Solomon codes and their applications to EAQECCs

R Wan, S Zhu - Discrete Mathematics, 2025 - Elsevier
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 …

Hulls of double cyclic codes

J Gao, T Wu, FW Fu - Finite Fields and Their Applications, 2023 - Elsevier
In this paper, we characterize hulls of double cyclic codes over Z 2. Firstly, we give the
generators of hulls of double cyclic codes under the separable case and the non-separable …

Linear codes of larger lengths with Galois hulls of arbitrary dimensions and related entanglement-assisted quantum error-correcting codes

Y Li, S Zhu - Discrete Mathematics, 2024 - Elsevier
Galois hulls are generalizations of Euclidean and Hermitian hulls, which have attracted
interest because of their important applications in determining the complexity of some …

Construction methods for Galois LCD codes over finite fields

GK Verma, A Agrawal, RK Sharma - Journal of Applied Mathematics and …, 2023 - Springer
In this article, first we present a method for constructing many Hermitian LCD codes from a
given Hermitian LCD code, and then provide several methods which utilize either a given [n …

Optimal binary and ternary linear codes with hull dimension one

T Mankean, S Jitman - Journal of Applied Mathematics and Computing, 2020 - Springer
Hulls of linear codes have been of interest and extensively studied due to their wide
applications. In this paper, we focus on constructions and optimality of linear codes with hull …

Constructions of MDS entanglement-assisted quantum codes with flexible lengths and large minimum distance

Y Cheng, X Cao, G Luo - Discrete Mathematics, 2024 - Elsevier
Entanglement-assisted quantum error-correcting codes (EAQECCs) extend the usual
structure of quantum error-correcting codes (QECCs) by introducing the pre-shared …

Three classes of propagation rules for GRS and EGRS codes and their applications to EAQECCs

R Wan, S Zhu - arXiv preprint arXiv:2401.08195, 2024 - arxiv.org
In this paper, we study the Hermitian hulls of (extended) generalized Reed-Solomon (GRS
and EGRS) codes over finite fields. For a given class of (extended) GRS codes, by …

Existence and construction of LCD codes over finite fields

GK Verma, A Agrawal, RK Sharma - arXiv preprint arXiv:2208.07708, 2022 - arxiv.org
We demonstrate the existence of Euclidean and Hermitian LCD codes over finite fields with
various parameters. In addition, we provide a method for constructing multiple Hermitian …

Constructions and bounds on quaternary linear codes with Hermitian hull dimension one

T Mankean, S Jitman - Arabian Journal of Mathematics, 2021 - Springer
Due to their practical applications, hulls of linear codes have been of interest and
extensively studied. In this paper, we focus on constructions and bounds on quaternary …

Characterizations and Constructions of Linear Intersection Pairs of Cyclic Codes over Finite Fields

S Jitman - arXiv preprint arXiv:2401.02077, 2024 - arxiv.org
Linear intersection pairs of linear codes have become of interest due to their nice algebraic
properties and wide applications. In this paper, we focus on linear intersection pairs of cyclic …