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

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Showing 2017Show all

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math.NT2017

Variations of the Primitive Normal Basis Theorem

Giorgos Kapetanakis, Lucas Reis

The celebrated Primitive Normal Basis Theorem states that for any $n \geq 2$ and any finite field $F_{q}$ , there exists an element $α \in F_{q^{n}}$ that is simultaneously…

math.NT2017

On the existence of primitive completely normal bases of finite fields

Theodoulos Garefalakis, Giorgos Kapetanakis

Let $F_{q}$ be the finite field of characteristic $p$ with $q$ elements and $F_{q^{n}}$ its extension of degree $n$ . We prove that there exists a primitive element of…