Spread and partial spread constructions are the most powerful bent function constructions. A large variety of functions from a 2m-dimensional vector space $${\mathbb {V}}_{2m}^{(p)}$$ over {F}}_p$$ into can be generated, which constant on sets partition obtained with subspaces (partial) spread. Moreover, spreads one obtains not only between elementary abelian groups, but to B, where B any group...

We report the development of a laboratory-based Rowland-circle monochromator that incorporates a low power x-ray (bremsstrahlung) tube source, a spherically bent crystal analyzer, and an energy-resolving solid-state detector. This relatively inexpensive, introductory level instrument achieves 1-eV energy resolution for photon energies of ∼5 keV to ∼10 keV while also demonstrating a net efficien...

We consider negabent Boolean functions that have Trace representation. We completely characterize quadratic negabent monomial functions. We show the relation between negabent functions and bent functions via a quadratic function. Using this characterization, we give infinite classes of bent-negabent Boolean functions over the finite field F2n , with the maximum possible degree, n 2 . These are ...

The compatibilization of raw bentonite (bent) with a polymer matrix polypropylene (PP) can improve the performance material in terms thermal and mechanical properties. In this study, two kinds untreated bentonite, bentonite-Maghnia (bent-m) bentonite-Mostaganem (bent-M), that differ proportion Al2O3 particle size distribution were coupled to typical maleic anhydride grafted PP-MA. Stearic Acid ...

Recently, the interest in semifields has increased due to the discovery of several new families and progress in the classification problem. Commutative semifields play an important role since they are equivalent to certain planar functions (in the case of odd characteristic) and to modified planar functions in even characteristic. Similarly, commutative semifields are equivalent to relative dif...

In this paper we study the minimum distance between the set of bent functions and the set of 1-resilient Boolean functions and present a lower bound on that. The bound is proved to be tight for functions up to 10 input variables. As a consequence, we present a strategy to modify the bent functions, by toggling some of its outputs, in getting a large class of 1-resilient functions with very good...

Recent research shows that the class of Rotation Symmetric Boolean Functions (RSBFs), i.e., the class of Boolean functions that are invariant under circular translation of indices, are potentially rich in functions of cryptographic significance. Here we present new results regarding the Rotation Symmetric (rots) correlation immune (CI) and bent functions. We present important data structures fo...