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.

Objective: In this survey, we have checked the effects of natural (red bell pepper and tomato) and synthetic (astaxanthin and β-carotene) pigments on bloods factors of Flower horn (Cichlasoma sp.). Methods: Five treatments (three replicates/treatment) were employed. Fishes were separated in fifteen equal groups and were fed for eight weeks with diets containing10 g kg–1 red ...

background: cardiac output (co) is the total volume of blood pumped by the heart per minute and is a function of heart rate and stroke volume. co is one of the most important parameters for monitoring cardiac function, estimating global oxygen delivery and understanding the causes of high blood pressure. hence, measuring co has always been a matter of interest to researchers and clinicians. sev...

The numerical scrutiny of unsteady incompressible magneto-hydrodynamics (MHD) for blood flow in carbon nano tubes (CNTs), past a sensor surface has been presented under the influences viscous dissipation, resistive heating, and thermal radiation. variables without having dimensions have deployed to alter reigning equations, which are non-linear, coupled partial differential equations (PDEs), in...

The present study investigated the magnetohydrodynamic (MHD) flow and heat transfer on a stagnation point past stretching sheet in blood-based Casson ferrofluid with Newtonian heating boundary conditions. ferrite Fe3O4 cobalt CoFe2O4 ferroparticles suspended into fluid represent by human blood to form are numerically examined. mathematical model for which is non-linear partial differential equa...

Numerical flow simulation is useful for understanding fluid phenomena such as blood flow or pulse wave propagation in the systemic arteries. For numerical analysis of intravascular flow, it is important to consider not only incompressible assumption and blood viscosity but also the viscoelasticity of the blood vessel wall; however, blood flow in vivo is complicated because of the unsteadiness o...

The fundamental solution of the system of differential equations in bio-thermoelasticity with dual phase lag (DPL) in case of steady oscillations in terms of elementary function is constructed and basic property is established. The tissue is considered as an isotropic medium and the propagation of plane harmonic waves is studied. The Christoffel equations are obtained and modified with the ther...