1 citations · 1 across the 3 of their papers we have counts for
5 papers
List decoding of toric 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…
Translates of completely normal elements and the Morgan-Mullen conjecture
Theodoulos Garefalakis, Giorgos Kapetanakis
Denote by the finite field of order and by its extension of degree . Some is called primitive if it generates the multi…
Further results on the Morgan-Mullen conjecture
Theodoulos Garefalakis, Giorgos Kapetanakis
Let be the finite field of characteristic with elements and its extension of degree . The conjecture of Morgan and Mullen asserts the e…
On the existence of primitive completely normal bases of finite fields
Theodoulos Garefalakis, Giorgos Kapetanakis
Let be the finite field of characteristic with elements and its extension of degree . We prove that there exists a primitive element of…
On the multiplicative order of the roots of
Fabio E. Brochero Martínez, Theodoulos Garefalakis, Lucas Reis +1
In this paper, we find a lower bound for the order of the group , where , is a generic root of the po…