T. Garefalakis

collaborators

3 papers

cs.IT2025

List decoding of evaluation codes

Silouanos Brazitikos, Theodoulos Garefalakis, Eleni Tzanaki

Polynomial evaluation codes hold a prominent place in coding theory. In this work, we study the problem of list decoding for a general class of polynomial evaluation codes, also kn…

math.NT2025

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…

math.NT2018

Further results on the Morgan-Mullen conjecture

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 $n$ . The conjecture of Morgan and Mullen asserts the e…