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arXiv · 1912.07541

Computational Results on the Existence of Primitive Complete Normal Basis Generators

Dirk Hachenberger·Stefan Hackenberg
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Abstract

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 $F$.

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Dirk Hachenberger, Stefan Hackenberg. 2019-12-16. Computational Results on the Existence of Primitive Complete Normal Basis Generators. https://arxiv.org/abs/1912.07541

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