1. The additive index of polynomials over finite fields
- Author
-
Lucas Reis and Qiang Wang
- Subjects
Algebra and Number Theory ,Mathematics - Number Theory ,11T06, 12E20 ,Applied Mathematics ,ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION ,FOS: Mathematics ,General Engineering ,Number Theory (math.NT) ,Theoretical Computer Science - Abstract
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 of their additive indices, such as value set sizes, bounds on multiplicative character sums, and characterizations of permutation polynomials.
- Published
- 2022
- Full Text
- View/download PDF