8 citations · 15 across the 7 of their papers we have counts for
8 papers
Counting the number of non-isotopic Taniguchi semifields
Faruk Göloğlu, Lukas Kölsch
We investigate the isotopy question for Taniguchi semifields. We give a complete characterization when two Taniguchi semifields are isotopic. We further give precise upper and lowe…
Classification of -biprojective APN functions
Faruk Göloğlu
In this paper, we classify -biprojective almost perfect nonlinear (APN) functions over under the natural left and right action of $\mathrm{G…
Equivalences of biprojective almost perfect nonlinear functions
Faruk Göloğlu, Lukas Kölsch
Two important problems on almost perfect nonlinear (APN) functions are the enumeration and equivalence problems. In this paper, we solve these two problems for any biprojective APN…
Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients
Omran Ahmadi, Faruk Gologlu, Robert Granger +2
For any positive integers we present formulae for the number of irreducible polynomials of degree over the finite field where the coeffici…
APN trinomials and hexanomials
Faruk Gologlu
In this paper we give a new family of APN trinomials of the form on where and ,…
Some Congruences of Kloosterman Sums and their Minimal Polynomials
Faruk Gologlu, Gary McGuire, Richard Moloney
We prove two results on Kloosterman sums over finite fields, using Stickelberger's theorem and the Gross-Koblitz formula. The first result concerns the minimal polynomial over Q of…