G
Giorgos Kapetanakis
Researcher at Sabancı University
Publications - 24
Citations - 118
Giorgos Kapetanakis is an academic researcher from Sabancı University. The author has contributed to research in topics: Primitive element & Prime power. The author has an hindex of 6, co-authored 22 publications receiving 86 citations. Previous affiliations of Giorgos Kapetanakis include University of Crete.
Papers
More filters
Journal ArticleDOI
Variations of the Primitive Normal Basis Theorem
TL;DR: The Primitive Normal Basis Theorem (PNBTH) was shown to be simultaneously primitive and normal over finite fields in this paper, which is known as the primitive normal basis theorem.
Journal ArticleDOI
Normal bases and primitive elements over finite fields
TL;DR: It is shown that, except for an explicit small list of genuine exceptions, for every q, m and A, there exists some primitive [email protected]?F"q"^"m such that both x and (ax+b)/(cx+d) produce a normal basis of F"q".
Journal ArticleDOI
An extension of the (strong) primitive normal basis theorem
TL;DR: An extension of the primitive normal basis theorem and its strong version is proved, showing that for nearly all A = abcd∈GL2(Fq), there exists some x such that both x and x are simultaneously primitive elements of Fqm.
Posted Content
Variations of the Primitive Normal Basis Theorem
TL;DR: Some variations of the Primitive Normal Basis Theorem are proved, completing the proof of a conjecture proposed by Anderson and Mullen (2014).
Journal ArticleDOI
The trace of 2-primitive elements of finite fields
TL;DR: In this article, it was shown that for any odd prime power, there exists a 2-primitive element of the prime power with arbitrarily prescribed trace values when n = 2.