Danyao Wu

activity

20222026

F_{2^{m}}

: a corrected version

64 citations · 64 across the 11 of their papers we have counts for

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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

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.NT2024

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

Danyao Wu, Pingzhi Yuan

Recently, P. Yuan presented a local method to find permutation polynomials and their compositional inverses over finite fields. The work of P. Yuan inspires us to compute the compo…

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 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​

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

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

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 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 $F_{q^{2}}$

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

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