3 papers
cs.IT2025
Complete weight enumerators and weight hierarchies for linear codes from quadratic forms
Xiumei Li, Xiaotong Sun, Min Sha
In this paper, for an odd prime power , we extend the construction of Xie et al. \cite{XOYM2023} to propose two classes of linear codes and …
math.NT2025
On the Lucas and Lehmer sequences in Dedekind domains
Xiumei Li, Giulio Peruginelli, Min Sha
In this paper, we first obtain the strong divisibility property for the Lucas and Lehmer sequences in Dedekind domains, and then establish analogues of Zsigmondy's theorem and the…
math.NT2025
On Euler's totient function of polynomials over finite fields
Xiumei Li, Min Sha
In this paper, we study some typical arithmetic properties of Euler's totient function of polynomials over finite fields. Especially, we study polynomial analogues of some classica…