Boolean functions that satisfy higher order propagation criteria are studied. A complete characterization is given of the autocorrelation function and Walsh spectrum of second ord...
The relation between the Walsh-Hadamard transform and the autocorrelation function of Boolean functions is used to study propagation characteristics of these functions. The Strict...
Bart Preneel, Werner Van Leekwijck, Luc Van Linden...
We characterise the aperiodic autocorrelation for a Boolean function, f, and define the Aperiodic Propagation Criteria (APC) of degree l and order q. We establish the strong simil...
Lars Eirik Danielsen, T. Aaron Gulliver, Matthew G...
We investigate the link between the nonlinearity of a Boolean function and its propagation characteristics. We prove that highly nonlinear functions usually have good propagation p...
Anne Canteaut, Claude Carlet, Pascale Charpin, Car...
Cryptographic Boolean functions must be complex to satisfy Shannon's principle of confusion. But the cryptographic viewpoint on complexity is not the same as in circuit compl...