24 citations · 85 across the 53 of their papers we have counts for
6 papers · 2 filters
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…
Cycle types of complete mappings of finite fields
Alexander Bors, Qiang Wang
We derive several existence results concerning cycle types and, more generally, the "mapping behavior" of complete mappings. Our focus is on so-called first-order cyclotomic mappin…
Permutation polynomials from a linearized decomposition
Lucas Reis, Qiang Wang
In this paper we discuss the permutational property of polynomials of the form over the finite field , where $L,…
Generalized cyclotomic mappings: Switching between polynomial, cyclotomic, and wreath product form
Alexander Bors, Qiang Wang
This paper is concerned with so-called index generalized cyclotomic mappings of a finite field , which are functions that ag…