English

Computational Results on the Existence of Primitive Complete Normal Basis Generators

Number Theory 2019-12-17 v1 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.1912.07541,
  title  = {Computational Results on the Existence of Primitive Complete Normal Basis Generators},
  author = {Dirk Hachenberger and Stefan Hackenberg},
  journal= {arXiv preprint arXiv:1912.07541},
  year   = {2019}
}

Comments

17 pages

R2 v1 2026-06-23T12:47:26.594Z