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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2 papers · 1 filter

math.NT2025

Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields

Arpan Chandra Mazumder, Giorgos Kapetanakis, Dhiren Kumar Basnet

In this article, we study the existence and distribution of elements in finite field extensions with prescribed traces in several intermediate extensions that are also either norma…

math.NT2025★ 1 cited

Translates of completely normal elements and the Morgan-Mullen conjecture

Theodoulos Garefalakis, Giorgos Kapetanakis

Denote by $F_{q}$ the finite field of order $q$ and by $F_{q^{n}}$ its extension of degree $n$ . Some $a \in F_{q^{n}}$ is called primitive if it generates the multi…