A characterization and an explicit description of all primitive polynomials of degree two over finite fields
General Mathematics
2024-09-27 v1
Abstract
For polynomials of degree two over finite fields, we present an improvement of Fitzgerald's characterization (Finite Fields Appl. 9(1):117-121, 2003). We then use this new characterization to obtain an explicit, complete, and simple description of all primitive polynomials of degree two over finite fields.
Cite
@article{arxiv.2409.17147,
title = {A characterization and an explicit description of all primitive polynomials of degree two over finite fields},
author = {Gerardo Vega},
journal= {arXiv preprint arXiv:2409.17147},
year = {2024}
}