Xuan Wang

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20242026

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cs.IT2026

Cyclic codes and cyclically covering subspaces

Xuan Wang, Minjia Shi

A subspace of $F_{q}^{n}$ is called cyclically covering if the union of $I ¨ ^{i} (U)$ can cover the whole space $F_{q}^{n}$ , where $I ¨ $ is the cyclic shift, $0 \leqslant i \l…

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 $a_{0}, a_{1}, \dots, a_{n}$ of real numbers is called log-concave if $a_i^2 \g…