8 papers
The compositional inverses of the permutation polynomials of the form over
Danyao Wu, Xuan Pang, Zilong He +1
This paper focuses on computing the compositional inverses of permutation polynomials of the form over finite fields via the local method.…
On the inverses of permutation polynomials of the form over finite fields
Danyao Wu, Pingzhi Yuan, Xuan Pang
In this paper, we investigate the compositional inverses of permutation polynomials of the form \[ F(x)=h(Ï(x))Ï(x)+g(Ï(x)) \in \mathbb{F}_{q^n}[x], \] where \(Ï(x),Ï(x) \in \…
Permutation Polynomials of the form 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…
New permutation polynomials over
Xuan Pang, Pingzhi Yuan, Danyao Wu +1
In this paper, we propose a new method to obtain new permutation polynomials over . Using this method, we extend many known permutation polynomials, which take th…
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…
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…