Title
On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm
Abstract
In this paper we enumerate irreducible polynomials of degree m and related objects over a finite field Fq with respect to their trace and norm. Our approach makes use of both generating functions and exponential sums, and we improve all previously known results in the literature when m>q.
Year
DOI
Venue
2021
10.1016/j.ffa.2020.101770
Finite Fields and Their Applications
Keywords
DocType
Volume
primary,secondary
Journal
69
ISSN
Citations 
PageRank 
1071-5797
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Zhicheng Gao101.35
Simon Kuttner201.01
Qiang Wang323737.93