Xuan Wang

activity

20242026

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4 papers · 1 filter

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 $σ^{i} (U)$ can cover the whole space $F_{q}^{n}$ , where $σ$ is the cyclic shift, $0 \leqslant i \leq…

math.CO2026

On zero-sum polytopes: reciprocity, rigidity, and cyclic sieving

Dongchun Han, Xuan Wang, Hanbin Zhang +1

Let $G$ be a finite abelian group of order $n$ , and let $M (G, m)$ denote the set of zero-sum sequences over $G$ of length $m$ . We introduce the zero-sum polytope $\mathcal P…

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…

math.NT2026

Second order Recurrences, quadratic number fields and cyclic codes

Minjia Shi, Xuan Wang, Bouazzaoui Zakariae +2

Wall-Sun-Sun primes (shortly WSS primes) are defined as those primes $p$ such that the period of the Fibonacci recurrence is the same modulo $p$ and modulo $p^{2} .$ This concept has…