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Direct Numerical Simulation (DNS) and inviscid linear analysis (LIA) are used to study the interaction of a normal Mach 1.5 shock wave and isotropic turbulence. The in uence of the nature of the incoming turbulence on the interaction is emphasized. The presence of upstream entropy uctuations enhance the ampli cation of the turbulent kinetic energy and transverse vorticity v a riance across the shock compared to the solenoidal (pure vorticity) case. More reduction of the transverse Taylor microscale is also observed in the vorticity-entropy case while no in uence can be seen on the longitudinal microscale. When acoustic and vortical uctuations are associated upstream, less ampli cation of the kinetic energy, less reduction of the transverse microscale and more ampli cation of the transverse vorticity v a riance are observed through the discontinuity. Most of these e ects have been reported previously by di erent authors using di erent numerical codes. In our case, all calculations are conducted with the same numerical tool and similar o w p a rameters, so that the observed in uence of upstream turbulence cannot be attributed to di erences in the numerics. All the DNS results are in good qualitative agreement with LIA.