Given two non-weakly k-normal Boolean functions on n variables a method is proposed to construct a non-weakly (k + 1)-normal Boolean function on (n + 2)-variables.
Quorum sensing (QS) is a system of stimuli and responses in bacterial cells governed by their population density, through which they regulate genes that control virulence factors and biofilm formation. Despite considerable research on QS and the discovery of new antibiotics, QS-controlled biofilm formation by microorganisms in clinical settings has remained… (More)
It is proved that no non-quadratic Kasami bent is affine equivalent to Maiorana-MacFarland type bent functions.
A new invariant of the set of n-variable Boolean functions with respect to the action of AGL(n, 2) is studied. Application of this invariant to prove affine nonequiv-alence of two Boolean functions is outlined. The value of this invariant is computed for P S ap type bent functions.