A secret sharing scheme is a method to distribute a secret among a set of participants, such that only qualified subsets of the participants can recover the secret. A secret sharing scheme is perfect if any unqualified subset obtains no information regarding the master key. The collection of qualified subsets is called access structure. In a hypergraph, if the size of edges is equal to r, the h...

Abstract The structure formation of particles with induced dipoles dispersed in a viscous fluid, under spatially and temporarily uniform external electric or magnetic field, is investigated by means Brownian Dynamics simulations. Dipole–dipole interactions forces, excluded volume forces thermal fluctuations are accounted for. resulting structures characterized terms average orientation their in...