Generators of finite fields with prescribed traces
arXiv:2007.15682 · doi:10.1017/S1446788721000094
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.
This new version contains many corrections, and some minor results were removed. ** To appear in J. Aust. Math. Soc