24 citations · 85 across the 53 of their papers we have counts for
8 papers · 1 filter
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…
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…
Counting irreducible polynomials with prescribed coefficients over a finite field
Zhicheng Gao, Simon Kuttner, Qiang Wang
We continue our study on counting irreducible polynomials over a finite field with prescribed coefficients. We set up a general combinatorial framework using generating functions w…
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…