18 citations · 84 across the 41 of their papers we have counts for
4 papers · 1 filter
Resolving a conjecture on quadratic APN functions and a new quadratic -function associated to crooked functions
Claude Carlet, Darrion Thornburgh
We say an -function is a crooked function if for any nonzero , the image of is an af…
On the Walsh and Fourier-Hadamard Supports of Boolean Functions From a Quantum Viewpoint
Claude Carlet, Ulises Pastor-Díaz, José María Tornero
In this paper, we focus on the links between Boolean function theory and quantum computing. In particular, we study the notion of what we call fully-balanced functions and analyse…
Simplicity conditions for binary orthogonal arrays
Claude Carlet, Rebeka Kiss, Gábor P. Nagy
It is known that correlation-immune (CI) Boolean functions used in the framework of side-channel attacks need to have low Hamming weights. The supports of CI functions are (equival…
New Classes of Almost Bent and Almost Perfect Nonlinear Polynomials
Lilya Budaghyan, Claude Carlet, Alexander Pott
We construct infinite classes of almost bent and almost perfect nonlinear polynomials, which are affinely inequivalent to any sum of a power function and an affine function.