Attila Vajda

collaborators

2 papers

math.NT2026

Carlet's cyclic-additive conjecture for the Kasami monomials

Gábor P. Nagy, Douglas S. McNeil, Attila Vajda

Let $K$ be a finite field of characteristic two with $∣ K ∣ = 2^{n}$ , let $g cd (k, n) = 1$ , let $d_{k} = 4^{k} - 2^{k} + 1$ be the Kasami exponent, and let $Δ_{k} = \{(b+1)^{d_{k}} +…

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 Carlet's cyclic-additive conjecture for 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…

Carlet's cyclic-additive conjecture for the Kasami monomials

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

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 $n \leq 13$