Roots of certain polynomials over finite fields
Z Ding, ME Zieve - Journal of Number Theory, 2023 - Elsevier
We determine the roots in F q 3 of the polynomial X 2 q ℓ+ 1+ X+ a for each positive integer ℓ
and each a∈ F q, where q is a power of 2. We introduce a new approach for this type of …
and each a∈ F q, where q is a power of 2. We introduce a new approach for this type of …
A unifying construction of semifields of order
L Kölsch - arXiv preprint arXiv:2405.09068, 2024 - arxiv.org
In this article, we present two new constructions for semifields of order $ p^{2m} $. Together,
the constructions unify and generalize around a dozen distinct semifield constructions …
the constructions unify and generalize around a dozen distinct semifield constructions …
On a recent extension of a family of biprojective APN functions
L Kölsch - arXiv preprint arXiv:2402.11329, 2024 - arxiv.org
APN functions play a big role as primitives in symmetric cryptography as building blocks that
yield optimal resistance to differential attacks. In this note, we consider a recent extension of …
yield optimal resistance to differential attacks. In this note, we consider a recent extension of …
[PDF][PDF] Bivariate semifields and their isotopies
L Kölsch - Finite Geometries Sixth Irsee Conference, 2022 - osebje.famnit.upr.si
Bivariate Semifields and their Isotopies Page 1 Bivariate Semifields and their Isotopies Lukas
Kölsch University of South Florida (joint work with Faruk Göloğlu) Lukas Kölsch University of …
Kölsch University of South Florida (joint work with Faruk Göloğlu) Lukas Kölsch University of …