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arXiv:1912.07541 [math.NT]AbstractReferencesReviewsResources

Computational Results on the Existence of Primitive Complete Normal Basis Generators

Dirk Hachenberger, Stefan Hackenberg

Published 2019-12-16Version 1

We present computational results which strongly support a conjecture of Morgan and Mullen (1996), which states that for every extension $E/F$ of Galois fields there exists a primitive element of $E$ which is completely normal over $F$.

Comments: 17 pages
Categories: math.NT, math.CO
Subjects: 11T30, 12E20
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