Xuan Pang

collaborators

9 papers

math.NT2026

Permutation binomials of the form $X^{r} (X^{q - 1} + a)$ over finite fields

Junna Ni, Xuan Pang, Jianhua Yu +1

This paper is devoted to studying permutation binomial $F_{r, a} (X) = X^{r} (X^{q - 1} + a) \in F_{q^{e}} [X]$ with $a \in F_{q^{e}}^{*}$ . We present a complete characterization for $F_…

math.NT2026

The compositional inverses of the permutation polynomials of the form $x + γ Tr_{q}^{q^{n}} (H (x))$ over $F_{q^{n}}$

Danyao Wu, Xuan Pang, Zilong He +1

This paper focuses on computing the compositional inverses of permutation polynomials of the form $x + γ Tr_{q}^{q^{n}} (H (x))$ over finite fields via the local method.…

math.NT2026

On the inverses of permutation polynomials of the form $h (ψ (x)) φ (x) + g (ψ (x))$ over finite fields

Danyao Wu, Pingzhi Yuan, Xuan Pang

In this paper, we investigate the compositional inverses of permutation polynomials of the form \[ F(x)=h(ψ(x))φ(x)+g(ψ(x)) \in \mathbb{F}_{q^n}[x], \] where \(ψ(x),φ(x) \in \mathb…

math.NT2025

Permutation Polynomials of the form $L (X) + γ T r_{q}^{q^{3}} (h (X))$ over finite fields with even characteristic

Xuan Pang, Danyao Wu, Pingzhi Yuan

Permutation polynomials over finite fields have extensive applications in various areas. Particularly, permutation polynomials with simple forms are of great interest. In recent pa…

math.NT2025

New permutation polynomials over $F_{q^{2}}$

Xuan Pang, Pingzhi Yuan, Danyao Wu +1

In this paper, we propose a new method to obtain new permutation polynomials over $F_{q^{2}}$ . Using this method, we extend many known permutation polynomials, which take th…

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

Algebraic Structure of Permutational Polynomials over $F_{q^{n}}$ \uppercase\expandafter{\romannumeral2}

Pingzhi Yuan, Xuan Pang, Danyao Wu

It is well known that there exists a significant equivalence between the vector space $F_{q}^{n}$ and the finite fields $F_{q^{n}}$ , and many scholars often view them…

math.NT2025

Some permutation polynomials via linear translators

Xuan Pang, Pingzhi Yuan, Hongjian Li

Permutation polynomials with explicit constructions over finite fields have long been a topic of great interest in number theory. In recent years, by applying linear translators of…

Permutation binomials of the form Xr(Xq−1+a) over finite fields

The compositional inverses of the permutation polynomials of the form x+γTrqqn​(H(x)) over Fqn​

On the inverses of permutation polynomials of the form h(ψ(x))φ(x)+g(ψ(x)) over finite fields

Permutation Polynomials of the form L(X)+γTrqq3​(h(X)) over finite fields with even characteristic

New permutation polynomials over Fq2​

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

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

Algebraic Structure of Permutational Polynomials over Fqn​ \uppercase\expandafter{\romannumeral2}

Some permutation polynomials via linear translators

Permutation binomials of the form $X^{r} (X^{q - 1} + a)$ over finite fields

The compositional inverses of the permutation polynomials of the form $x + γ Tr_{q}^{q^{n}} (H (x))$ over $F_{q^{n}}$

On the inverses of permutation polynomials of the form $h (ψ (x)) φ (x) + g (ψ (x))$ over finite fields

Permutation Polynomials of the form $L (X) + γ T r_{q}^{q^{3}} (h (X))$ over finite fields with even characteristic

New permutation polynomials over $F_{q^{2}}$

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

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

Algebraic Structure of Permutational Polynomials over $F_{q^{n}}$ \uppercase\expandafter{\romannumeral2}