The most important building blocks of symmetric cryptographic primitives such as the DES or the AES, are vectorial Boolean functions, also called S-boxes. In this paper, we extend the definition of normality for Boolean functions into several new affine invariant properties for vectorial Boolean functions. We compute the probability of occurrence of these properties and present practical algori...

In this work, a new approach for creating Pattern Databases (PDBs) is suggested that induces non-consistent heuristic functions just by recognizing feasible (yet admissible) heuristic values. This approach serves to generalize even further the BPMX propagation rule, that will work now even in directed graphs. Experiments in different state spaces show a noticeable improvement over the Scalar Pa...

BACKGROUND There is higher rate of R. felis infection among febrile patients than in healthy people in Sub-Saharan Africa, predominantly in the rainy season. Mosquitoes possess a high vectorial capacity and, because of their abundance and aggressiveness, likely play a role in rickettsial epidemiology. METHODOLOGY/PRINCIPAL FINDINGS Quantitative and traditional PCR assays specific for Ricketts...

We prove that, for bent vectorial functions, CCZ-equivalence coincides with EA-equivalence. However, we show that CCZ-equivalence can be used for constructing bent functions which are new up to CCZequivalence. Using this approach we construct classes of nonquadratic bent Boolean and bent vectorial functions.

A rigorous vectorial formulation of the surface diffractive optics of plasmon polaritons is derived using the Green’s function formalism. Theoretical predictions for several 2D plasmonic scenarios, i.e. plasmonic single-and double-slit diffraction, are exemplified and compared with published experimental observations. The importance, in near field diffraction, of all vectorial components of pla...

Two-path interference of transversal vectorial waves is embedded within a larger scheme: this is four-path interference between four scalar waves. This comprises previous approaches to coherence between vectorial waves and restores the equivalence between correlation-based coherence and visibility.