Pingzhi Yuan

collaborators

4 papers

math.NT2024

The compositional inverses of permutation polynomials from trace functions over finite fields

Danyao Wu, Pingzhi Yuan

In this paper, we present the compositional inverses of several classes permutation polynomials of the form $\sum_{i = 1}^{k} b_{i} (Tr_{m}^{mn} (x)^{t_{i}} + δ)^{s_{i}} + f_{1} (x)$ , w…

math.NT2024

Permutation polynomials over finite fields by the local criterion

Danyao Wu, Pingzhi Yuan

In this paper, we further investigate the local criterion and present a class of permutation polynomials and their compositional inverses over $F_{q^{2}}$ . Additionally, we…

math.NT2024

The compositional inverses of permutation polynomials of the form $\sum_{i = 1}^{k} b_{i} (x^{p^{m}} + x + δ)^{s_{i}} - x$ over $F_{p^{2 m}}$

Danyao Wu, Pingzhi Yuan, Huanhuan Guan +1

In this paper, we present the compositional inverses of several classes permutation polynomials of the form $\sum_{i = 1}^{k} b_{i} (x^{p^{m}} + x + δ)^{s_{i}} - x$ over $F_{p^{2 m}}$ , where…

math.NT2024

The compositional inverses of three classes of permutation polynomials over finite fields

Danyao Wu, Pingzhi Yuan, Huanhuan Guan +1

R. Gupta, P. Gahlyan and R.K. Sharma presented three classes of permutation trinomials over $F_{q^{3}}$ in Finite Fields and Their Applications. In this paper, we employ the…

The compositional inverses of permutation polynomials from trace functions over finite fields

Permutation polynomials over finite fields by the local criterion

The compositional inverses of permutation polynomials of the form ∑i=1k​bi​(xpm+x+δ)si​−x over Fp2m​

The compositional inverses of three classes of permutation polynomials over finite fields

The compositional inverses of permutation polynomials of the form $\sum_{i = 1}^{k} b_{i} (x^{p^{m}} + x + δ)^{s_{i}} - x$ over $F_{p^{2 m}}$