Abstract. In this paper, we introduce the concept of kth-order nonhomomorphicity of mappings or S-boxes as an alternative indicator that forecasts nonlinearity characteristics of a...
Abstract— A disjoint support decomposition (DSD) is a representation of a Boolean function F obtained by composing two or more simpler component functions such that the component...
This paper addresses the problem of testing whether a Boolean-valued function f is a halfspace, i.e. a function of the form f(x) = sgn(w·x−θ). We consider halfspaces over the ...
Kevin Matulef, Ryan O'Donnell, Ronitt Rubinfeld, R...
We propose an algorithm for efficient threshold network synthesis of arbitrary multi-output Boolean functions. The main purpose of this work is to bridge the wide gap that currentl...
We consider several questions inspired by the direct-sum problem in (two-party) communication complexity. In all questions, there are k fixed Boolean functions f1, . . . , fk and ...
Amos Beimel, Sebastian Ben Daniel, Eyal Kushilevit...