G. Nagy

activity

20242026

collaborators

4 papers

math.CO2026

On a conjecture on the Kasami APN function: reductions, structure theorems, a proof for $k mod n \in {1, 2, n - 2, n - 1}$ , and exhaustive verification for $n \leq 13$

Gábor P. Nagy, Attila Vajda

We study a conjecture on the Kasami almost perfect nonlinear (APN) function $F (x) = x^{4^{k} - 2^{k} + 1}$ on $GF (2^{n})$ , $g cd (k, n) = 1$ : for the $2^{n - 1}$ -element set $Δ=\{F(b)+F(b+1)+1: b\in…

math.CO2025

Switching equivalence of strongly regular polar graphs

GÃ¡bor P. Nagy, Valentino Smaldore

We prove the switching equivalence of the strongly regular polar graphs $N O^{\pm} (4 m, 2)$ , $N O^{\mp} (2 m + 1, 4)$ , and $I^ (O^{\mp} (4 m, 2))$ plus an isolated vertex by giving an analytic descri…

math.CO2025

On the minimum Hamming distance between vectorial Boolean and affine functions

Gabor P. Nagy

In this paper, we study the Hamming distance between vectorial Boolean functions and affine functions. This parameter is known to be related to the non-linearity and differential u…

math.GR2024

An extension formula for right Bol loops arising from Bol reflections

Mario Galici, Gabor P. Nagy

We study a new extension formula for right Bol loops. We prove the necessary or sufficient conditions for the extension to be right Bol. We describe the most important invariants:…

On a conjecture on the Kasami APN function: reductions, structure theorems, a proof for kmodn∈{1,2,n−2,n−1}, and exhaustive verification for n≤13

Switching equivalence of strongly regular polar graphs

On the minimum Hamming distance between vectorial Boolean and affine functions

An extension formula for right Bol loops arising from Bol reflections

On a conjecture on the Kasami APN function: reductions, structure theorems, a proof for $k mod n \in {1, 2, n - 2, n - 1}$ , and exhaustive verification for $n \leq 13$