Faruk Göloğlu

most citedTernary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula

8 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2014

APN trinomials and hexanomials

Faruk Gologlu

In this paper we give a new family of APN trinomials of the form $X^{2^{k} + 1} + (tr_{m}^{n} (X))^{2^{k} + 1}$ on $F_{2^{n}}$ where $gcd (k, n) = 1$ and $n = 2 m = 4 t$ ,…

math.NT2010★ 8 cited

Ternary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula

Faruk Gologlu, Gary McGuire, Richard Moloney

We give results characterising ternary Kloosterman sums modulo 9 and 27. This leads to a complete characterisation of values that ternary Kloosterman sums assume modulo 18 and 54.…

math.NT2010★ 1 cited

Binary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula

Faruk Gologlu, Gary McGuire, Richard Moloney

Let $K (a)$ denote the Kloosterman sum on the finite field of order $2^{n}$ . We give a simple characterization of $K (a)$ modulo 16, in terms of the trace of $a$ an…