Computational Results on the Existence of Primitive Complete Normal Basis Generators

Computational Results on the Existence of Primitive Complete Normal Basis Generators

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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Veröffentlicht in:arXiv.org 2019-12
Hauptverfasser: Hachenberger, Dirk, Hackenberg, Stefan
Format: Artikel
Sprache:eng
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Zusammenfassung: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 \(F\).
ISSN:2331-8422