High order elements in extensions of finite fields given by binomials
Number Theory
2026-02-27 v2
Abstract
We construct explicitly in any finite field of the form Fq[x]/(x^m-a) elements with multiplicative order at least 2^{(2m)^(1/2)}
Cite
@article{arxiv.2504.02046,
title = {High order elements in extensions of finite fields given by binomials},
author = {Roman Popovych},
journal= {arXiv preprint arXiv:2504.02046},
year = {2026}
}
Comments
7 pages, version 2