5 papers · 1 filter
Constraint-Preserving Genetic Algorithms for Embedding Linear Codes into Self-Orthogonal Codes
Haeun Lim, Junmin An, Jon-Lark Kim
In this paper, we aim to construct binary optimal self-orthogonal codes using shortest self-orthogonal embedding methods. For this purpose, we design a heuristic framework based on…
New binary optimal LCD codes using heuristic embedding
Haeun Lim, Junmin An, Jon-Lark Kim
In this paper, we investigate the construction of binary optimal LCD codes through short LCD embeddings. For this purpose, we design heuristic frameworks based on a greedy algorith…
Shortest LCD embeddings of binary, ternary and quaternary linear codes
Junmin An, Ji-Hoon Hong, Jon-Lark Kim +1
In the recent years, there has been active research on self-orthogonal embeddings of linear codes since they yielded some optimal self-orthogonal codes. LCD codes have a trivial hu…
Log-Concave Sequences in Coding Theory
Minjia Shi, Xuan Wang, Junmin An +1
We introduce the notion of logarithmically concave (or log-concave) sequences in Coding Theory. A sequence of real numbers is called log-concave if $a_i^2 \g…
The Dimensions of the Hulls of Conorm Codes from Algebraic Geometry Codes
Junmin An, Jon-Lark Kim
Chara et al. introduced conorm codes defined over algebraic geometry codes, but the hulls of conorm codes were not determined yet. In this paper, we study the dimension of the hull…