paper

High order elements in extensions of finite fields given by binomials

arXiv:2504.02046

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)}

7 pages, version 2

High order elements in extensions of finite fields given by binomials · wovepaper