Hannah Gola ([email protected]) Harald Engler ([email protected]) Annette Sommershof ([email protected]) Hannah Adenauer ([email protected]) Stephan Kolassa ([email protected]) Manfred Schedlowski ([email protected]) Marcus Groettrup ([email protected]) Thomas Elbert ([email protected]) Iris-Tatjana Kolass...

A finite expansion of the exponential map for a N ×N matrix is presented. The method uses the Cayley-Hamilton theorem for writing the higher matrix powers in terms of the first N-1 ones. The resulting sums over the corresponding coefficients are rational functions of the eigenvalues of the matrix. ∗ e-mail [email protected]

Gu map-1 is a modified version of GGH map. It uses same ideal lattices for constructing the trapdoors, while the novelty is that no encodings of zero are given. In this short paper we show that Gu map-1 cannot be used for the instance of witness encryption (WE) based on the hardness of 3-exact cover problem. That is, if Gu map-1 is used for such instance, we can break it by soving a combined 3-...

We consider a uni ed description of classi cation rules for nearly singular covariance matrices. When the covariance matrices of the groups or the pooled covariance matrix become nearly singular, bayesian classi cation rules become seriously unstable. Several procedures have been proposed to tackle this problem, e.g. SIMCA, and Regularized Discriminant Analysis. N s and Indahl (1998) discovered...

Utilizing the idea of extra large dimensions, it has been suggested that the gauge and gravity couplings uni cation can happen at a scale as low as 1 TeV. In this paper, we explore this possibility within string theory. In particular, we discuss how the proton decay bound can be satis ed in Type I string theory. The string picture also suggests di erent scenarios of gauge and gravitational coup...

In a laboratory, a two-dimensional complex (dusty) plasma consists of a low-density ionized gas containing a confined suspension of Yukawa-coupled plastic microspheres. For an initial crystal-like form, we report ideal gas behavior in this strongly coupled system during shock-wave experiments. This evidence supports the use of the ideal gas law as the equation of state for soft crystals such as...