G. Kapetanakis

activity

20172026

most citedFinite field extensions with the line or translate property for

r

-primitive elements

3 citations · 4 across the 17 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

The trace of primitive and $2$ -primitive elements in finite fields, revisited

Stephen D. Cohen, Giorgos Kapetanakis

By definition primitive and $2$ -primitive elements of a finite field extension $F_{q^{n}}$ have order $q^{n} - 1$ and $(q^{n} - 1) /2$ , respectively. We have already shown that, with…

math.NT2021

The existence of $F_{q}$ -primitive points on curves using freeness

Stephen D. Cohen, Giorgos Kapetanakis, Lucas Reis

Let $C_{Q}$ be the cyclic group of order $Q$ , $n$ a divisor of $Q$ and $r$ a divisor of $Q / n$ . We introduce the set of $(r, n)$ -free elements of $C_{Q}$ and derive a l…

The trace of primitive and 2-primitive elements in finite fields, revisited

The existence of Fq​-primitive points on curves using freeness

The trace of primitive and $2$ -primitive elements in finite fields, revisited

The existence of $F_{q}$ -primitive points on curves using freeness