Generators of finite fields with prescribed traces
Number Theory
2021-07-01 v2
Abstract
This paper explores the existence and distribution of primitive elements in finite field extensions with prescribed traces in several intermediate field extensions. Our main result provides an inequality-like condition to ensure the existence of such elements. We then derive concrete existence results for a special class of intermediate extensions.
Keywords
Cite
@article{arxiv.2007.15682,
title = {Generators of finite fields with prescribed traces},
author = {Lucas Reis and Sávio Ribas},
journal= {arXiv preprint arXiv:2007.15682},
year = {2021}
}
Comments
This new version contains many corrections, and some minor results were removed. ** To appear in J. Aust. Math. Soc