In this paper, we construct a fully homomorphic encryption (FHE) scheme over integers with the message space ZQ for any prime Q. Even for the binary case Q = 2, our decryption circuit has a smaller degree than that of the previous scheme; the multiplicative degree is reduced from O(λ(log λ)) to O(λ), where λ is the security parameter. We also extend our FHE scheme to a batch FHE scheme.

A microbalance has been used to measure the rate of uptake of a wetting fluid, 1,3-propandiol, into a cube of compacted calcium carbonate. The cube had sides 12 mm long, with a wax band applied to the outer perpendicular edges of one basal plane to prevent external surface uptake, and the liquid was applied in a highly controlled manner at this single face only. The percolation characteristics ...

The self-diffusion of fluids in nanotubes generally consists both molecule–molecule and molecule–wall interactions, which can be quantitatively described by the Knudsen mechanism molecular mechanism, respectively. Combining these two effects, Bosanquet equation is used to predict self-diffusivities molecules one-dimensional nanopores. In this work, equilibrium dynamics simulations were employed...

A confidence interval is an interval (i.e., a range of values) estimate of a parameter of a population (e.g., a mean) calculated from a sample drawn from the population. A confidence interval has an associated confidence level, which is frequency with which a calculated confidence interval is expected to contain the population parameter. Confidence intervals are of interest in modeling and simu...

In this paper we propose a method for implementing a high-level interface for the synthesis and animation of animated virtual faces that is in full compliance with MPEG-4 specifications. This method allows us to implement the Simple Facial Object profile and part of the Calibration Facial Object Profile. In fact, starting from a facial wire-frame and from a set of configuration files, the devel...

A g-element for a graded R-module is a one-form with properties similar to a Lefschetz class in the cohomology ring of a compact complex projective manifold, except that the induced multiplication maps are injections instead of bijections. We show that if k(∆) is the face ring of the independence complex of a matroid and the characteristic of k is zero, then there is a non-empty Zariski open su...

Using the “glueball dominance” picture of the mixing between qq̄ mesons of different hidden flavors, we establish new glueball-meson mass relations which serve as a basis for glueball spectral systematics. For the tensor glueball mass 2.3 ± 0.1 GeV used as an input parameter, these relations predict the following glueball masses: M(0) ≃ 1.65 ± 0.05 GeV, M(1) ≃ 3.2 ± 0.2 GeV, M(2) ≃ 2.95 ± 0.15 G...

This paper presents an automatic FDP (Facial Definition Parameters) and FAP (Facial Animation Parameters) generation method from an image sequence that captures a frontal face. The proposed method is based on facial feature tracking without markers on a face. We present an efficient method to extract 2D facial features and to generate the FDP by applying 2D features to a generic face model. We ...

A secret sharing scheme permits a secret to be shared among participants in such a way that only qualiied subsets of participants can recover the secret. If any non qualiied subset has absolutely no information about the secret, then the scheme is called perfect. Unfortunately, in this case the size of the shares cannot be less than the size of the secret. Krawczyk 9] showed how to improve this...

LUCIA, a new Italian talking head based on a modified version of the Cohen-Massaro’s labial coarticulation model is described. A semi-automatic minimization technique, working on real cinematic data, acquired by the ELITE optoelectronic system, was used to train the dynamic characteristics of the model. LUCIA is an MPEG-4 standard facial animation system working on standard FAP visual parameter...