3 papers
math.NT2026
On cyclically covering subspaces of
Yangcheng Li, Pingzhi Yuan, Shuang Li +1
For a prime power \( q \) and a positive integer \( n \), a subspace \( U \subseteq \mathbb{F}_q^n \) is called cyclically covering if the union of all its cyclic shifts covers the…
math.NT2025
Determination of Some Types of Permutations over with Low-Degree
Xuan Pang, Yangcheng Li, Pingzhi Yuan +1
The characterization of permutations over finite fields is an important topic in number theory with a long-standing history. This paper presents a systematic investigation of low-d…
math.NT2025
Permutation polynomials of the form
Yangcheng Li, Xuan Pang, Pingzhi Yuan +1
Given a polynomial \( H(x) \) over \(\mathbb{F}_{q^n}\), we study permutation polynomials of the form \( x + γ\mathrm{Tr}(H(x)) \) over \(\mathbb{F}_{q^n}\). Let \[P_H=\{γ\in \ma…