Yangcheng Li

collaborators

4 papers

math.NT2026

On cyclically covering subspaces of $F_{q}^{n}$

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 $F_{q}^{2}$ 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 $x + γ Tr (H (x))$

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 \math…

math.NT2025

$(G, F)$ -points on $Q$ -algebraic varieties

Yangcheng Li, Hongjian Li

Let $G \in Q [x, y, z]$ be a polynomial, and let $V (G)$ be the $Q$ -algebraic variety corresponding to $G$ , i.e., $V (G) = {P \in Q^{3} ∣ G (P) = 0}$ . Let \[\begin{sp…

On cyclically covering subspaces of Fqn​

Determination of Some Types of Permutations over Fq2​ with Low-Degree

Permutation polynomials of the form x+γTr(H(x))

(G,F)-points on Q-algebraic varieties

On cyclically covering subspaces of $F_{q}^{n}$

Determination of Some Types of Permutations over $F_{q}^{2}$ with Low-Degree

Permutation polynomials of the form $x + γ Tr (H (x))$

$(G, F)$ -points on $Q$ -algebraic varieties