Elements of high order in Artin–Schreier extensions of finite fields Fq

Author:

Brochero Martínez F.E.ORCID,Reis LucasORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference14 articles.

1. Primes is in P;Agrawal;Ann. Math.,2004

2. Multiplicative order of Gauss periods;Ahmadi;Int. J. Number Theory,2010

3. Comments on search procedures for primitive roots;Bach;Math. Comput.,1997

4. Constructing finite field extensions with large order elements;Cheng;SIAM J. Discrete Math.,2007

5. Elements of provable high orders in finite fields;Gao;Proc. Am. Math. Soc.,1999

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1. Arithmetic Progressions of r-Primitive Elements in a Field;Bulletin of the Brazilian Mathematical Society, New Series;2024-08-07

2. On the existence of r-primitive pairs $$(\alpha ,f(\alpha ))$$ in finite fields;Applicable Algebra in Engineering, Communication and Computing;2022-11-01

3. On r-primitive k-normal elements over finite fields;Finite Fields and Their Applications;2022-09

4. Elements of high order in finite fields specified by binomials;Carpathian Mathematical Publications;2022-06-30

5. The existence of q -primitive points on curves using freeness;Comptes Rendus. Mathématique;2022-06-22

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