26 citations · 96 across the 41 of their papers we have counts for
46 papers
Molnár's Theorem for split -by-nilpotent algebras
Mario Galici, Gianmarco La Rosa, Manuel Mancini +1
Kubo-Ando means are a rich class of important binary operations on the set of positive elements of an operator algebra. The aim of this article is to understand the algebraic struc…
Carlet's cyclic-additive conjecture for the Kasami monomials
Gábor P. Nagy, Douglas S. McNeil, Attila Vajda
Let be a finite field of characteristic two with , let , let be the Kasami exponent, and let $Δ_{k} = \{(b+1)^{d_{k}} +…
Semifields in prime dimensions and counterexamples to Kaplansky's conjecture
Gábor P. Nagy, Yue Zhou
In 1975, Kaplansky conjectured that every five-dimensional division algebra over a sufficiently large finite field is a field or a twisted field. We disprove this conjecture. For e…
On a conjecture on the Kasami APN function: reductions, structure theorems, a proof for , and exhaustive verification for
Gábor P. Nagy, Attila Vajda
We study Carlet's cyclic-additive conjecture for the Kasami almost perfect nonlinear (APN) function on , : for the -element set…
Vertex-transitive strongly regular graphs in the switching class of doubly transitive two-graphs
Robert F. Bailey, Gábor P. Nagy, Valentino Smaldore
Let be a permutation group that acts -transitively on the finite set and let be a two-graph whose automorphism group contains . In this paper, we…
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…