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.

Copulas are important probabilistic tools to model and interpret the correlations of measures involved in real or experimental phenomena. The versatility these phenomena implies need for diverse copulas. In this article, we describe investigate theoretically new two-dimensional copulas based on trigonometric functions modulated by a tuning angle parameter. independence copula is, thus, extended...

the purpose of the present study is to compare the changes in b-value parameter using frequency-magnitude distribution for the data before and after the silakhor earthquake by gutenberg-richter relation. the variations of b-values are investigated using broadband iranian national seismic network center (bin). besides, spatial and time variations of the parameters were analyzed. the spatial vari...

In this paper, we study the effects of Hall and ion-slip currents on the steady magneto-micropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate by taking in to account the viscous dissipation effects. By means of similarity solutions, deviation of fundamental equations on the assumption of small magnetic Reynolds number are solved numerically by using qu...

Extended Abstract. The study of truncated parameter space in general is of interest for the following reasons: 1.They often occur in practice. In many cases certain parameter values can be excluded from the parameter space. Nearly all problems in practice have a truncated parameter space and it is most impossible to argue in practice that a parameter is not bounded. In truncated parameter...