24 citations · 85 across the 53 of their papers we have counts for
28 papers · 1 filter
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…
On stable polynomials of degrees
Tong Lin, Qiang Wang
Let be a prime power. We construct stable polynomials of the form over a finite field for by Capelli's lemma. When an…
Functional graphs of generalized cyclotomic mappings of finite fields
Alexander Bors, Daniel Panario, Qiang Wang
The functional graph of a function is the directed graph with vertex set the edges of which are of the form for . Functional grap…
Coset-wise affine functions and cycle types of complete mappings
Alexander Bors, Qiang Wang
Let be a finite field of characteristic . We study a certain class of functions that agree with an -affine function on each c…
On the enumeration of polynomials with prescribed factorization pattern
Simon Kuttner, Qiang Wang
We use generating functions over group rings to count polynomials over finite fields with the first few coefficients prescribed and a factorization pattern prescribed. In particula…
The additive index of polynomials over finite fields
Lucas Reis, Qiang Wang
In this paper we introduce the additive analogue of the index of a polynomial over finite fields. We study several problems in the theory of polynomials over finite fields in terms…