Session S26 - Finite fields and applications

Thursday, July 15, 15:00 ~ 15:20 UTC-3

Pairs of primitive elements on finite fields

Cícero Carvalho

Universidade Federal de Uberlândia, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk we would like to present some results on the existence of pairs of elements in a finite field, where the first element is either primitive or primitive and normal over a subfield, and the second element is primitive and a rational function of the first one. We also will present some numerical results illustrating the main theoretical results.

Joint work with João Paulo Guardieiro (Universidade Federal de Uberlândia), Victor G.L. Neumann (Universidade Federal de Uberlândia) and Guilherme Tizziotti (Universidade Federal de Uberlândia).

View abstract PDF