3 papers
cs.IT2026
Shortest self-orthogonal and LCD embeddings of linear codes over Fq+uFq
Junmin An, Jon-Lark Kim
This paper determines the exact lengths of shortest self-orthogonal and LCD embeddings of linear codes over . By decomposing Gram matrices over $\mathbb…
cs.IT2026
New bounds for codes over Gaussian integers based on the Mannheim distance
Minjia Shi, Xuan Wang, Junmin An +1
We study linear codes over Gaussian integers equipped with the Mannheim distance. We develop Mannheim-metric analogues of several classical bounds. We derive an explicit formula fo…
cs.IT2024
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…