Qiang Wang

activity

20092026

most citedOn Inverses of Permutation Polynomials of Small Degree over Finite Fields

24 citations · 85 across the 53 of their papers we have counts for

collaborators

55 papers

cs.IT2026

A generalization of the map $χ$

Xiutao Feng, Qiang Wang, Jingyi Yu +1

The mapping $χ_{n} : F_{2}^{n} \to F_{2}^{n}$ defined by $y = χ_{n} (x)$ with $y_{i} = x_{i} + x_{i + 1} x_{i + 2} + x_{i + 2}$ , where the indices are computed modulo $n$ , has been widely s…

math.NT2023

A Construction of Permutation Polynomials Using Rédei Function in Even Characteristic

Daniel Panario, Nihal Uyar, Qiang Wang

The Rédei function defined over a field of even characteristic has been introduced by Nöbauer in 1986 \cite{even}. In this paper, inspired by the work of Fu et al. \cite{wang} in o…

math.NT2023

On stable polynomials of degrees $2, 3, 4$

Tong Lin, Qiang Wang

Let $q$ be a prime power. We construct stable polynomials of the form $b^{m - 1} (x + a)^{m} + c (x + a) + d$ over a finite field $F_{q}$ for $m = 2, 3, 4$ by Capelli's lemma. When $m = 3$ an…

math.NT2023★ 1 cited

Functional graphs of generalized cyclotomic mappings of finite fields

Alexander Bors, Daniel Panario, Qiang Wang

The functional graph of a function $g : X \to X$ is the directed graph with vertex set $X$ the edges of which are of the form $x \to g (x)$ for $x \in X$ . Functional grap…

math.GR2022

Compositions and parities of complete mappings and of orthomorphisms

Alexander Bors, Qiang Wang

We determine the permutation groups $P_{comp} (F_{q}), P_{orth} (F_{q}) \leq Sym (F_{q})$ generated by the complete mappings, respec…

cs.IT2021

Further improvement on index bounds

Yansheng Wu, Yoonjin Lee, Qiang Wang

In this paper we obtain further improvement of index bounds for character sums of polynomials over finite fields. We present some examples, which show that our new bound is an impr…

A generalization of the map χ