The security of pairing-based cryptosystems is closely related to the difficulty of the pairing inversion problem. Building on previous works, we provide further contributions on the difficulty of pairing inversion. In particular, we revisit the approach of Kanayama-Okamoto who modified exponentiation inversion and Miller inversion by considering an “auxiliary” pairing. First, by generalizing a...

  Background :Inversion recovery (IR) pulse sequences can generate T1-weighted images with a different range of inversion time (TI) to suppress or null the signal intensity (SI) for a specified tissue. In this study, we aimed to investigate the effect of TI values on the concentration of the contrast agent, which leads to a minimum signal intensity, using an inversion recovery T1-weighted 3-dim...

generally, the measured secondary field data is inverted into resistivity using two principal models; the homogeneous half-space model and the layered half-space model. while the homogeneous half-space inversion uses single frequency data, the inversion is done individually for each of the frequencies used, the multi-layer 1d inversion is able to take the data of all frequencies available into ...

In this paper we present a method for deriving approximate inversion formulae for the divergent beam x-ray transform in three-space when the source set is a curve. When the source set is a planar convex curve, we obtain new approximate inversion formulae which are quasi-local. Finally we compare these methods with existing convolutionbackprojection algorithms for 3-D reconstruction. * Supported...

We analyze seismic data using multi-channel analysis of surface waves (MASW) to invert multi-mode surface-wave dispersion curves into 1D vertical shear-wave velocity profiles. The dispersion-curve patterns of the Rayleigh wave are imaged using conventional methods and the high-resolution linear radon transform (HRLRT). Comparison of these imaging techniques shows that the HRLRT provides higher ...