5 papers
Shortest Embeddings of Linear Codes with Arbitrary Hull Dimension
Jiabin Wang, Jinquan Luo
In this paper, we study the shortest -dimensional hull embeddings of linear codes in both Euclidean and Hermitian cases, extending the existing research on the shortest LCD and…
Linear Codes with Certain Dimension of Hermitian Hulls
Jiabin Wang, Jinquan Luo
In this paper, we study the enumerative and asymptotic properties related to Hermitian -complementary codes on the unitary space over $\F_{q^2}$. We provide some closed form…
New Constructions of Non-GRS MDS Codes, Recovery and Determination Algorithms for GRS Codes
Guodong Wang, Hongwei Liu, Jinquan Luo
In this paper, we propose a new method for constructing a class of non-GRS MDS codes. The lengths of these codes can reach up to (for finite fields of odd character…
Shortest self-orthogonal embeddings of binary linear codes
Junmin An, Nathan Kaplan, Jon-Lark Kim +2
There has been recent interest in the study of shortest self-orthogonal embeddings of binary linear codes, since many such codes are optimal self-orthogonal codes. Several authors…
How to Expand a Self-orthogonal Code
Jon-Lark Kim, Hongwei Liu, Jinquan Luo
In this paper, we show how to expand Euclidean/Hermitian self-orthogonal code preserving their orthogonal property. Our results show that every -dimension Hermitian self-orthogo…