Small Primitive Normal Elements in Finite Fields · arXivDeskAbstract
Let q=pk be a prime power, let Fq be a finite field and let n≥2
be an integer. This note investigates the existence small primitive normal elements in finite field extensions
. It is shown that a small nonstructured subset
A⊂Fqn of cardinality
#A≫(logqn)(loglogqn)1+ε) , where
is a small number, contains a primitive normal element.