Machine‐Learning‐Enabled Vectorial Opto‐Magnetization Orientation

Three-dimensional orientation-unlimited polarization encryption by a single optically configured vectorial beam

The interplay between light polarization and matter is the basis of many fundamental physical processes and applications. However, the electromagnetic wave nature of light in free space sets a fundamental limit on the three-dimensional polarization orientation of a light beam. Although a high numerical aperture objective can be used to bend the wavefront of a radially polarized beam to generate...

The vectorial λ-calculus

We describe a type system for the linear-algebraic λ-calculus. The type system accounts for the linear-algebraic aspects of this extension of λ-calculus: it is able to statically describe the linear combinations of terms that will be obtained when reducing the programs. This gives rise to an original type theory where types, in the same way as terms, can be superposed into linear combinations. ...

Normality of Vectorial Functions

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...

Vectorial Pattern Databases

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...

Vectorial fast correlation attacks