Large-eddy simulations (LES) of five overexpanded rocket jets impinging on a plate located at a distance of 30r 0 , where r 0 = D/2 is the nozzle radius, and of the corresponding free jet have been performed. The jets are at an exhaust Mach number of 3.1 and a Reynolds number of 2 × 10 5 . Four plates are perforated with a hole of diameter h = 1.33D, 2D, 3D and 4D, whereas the last one is not, in order to investigate the effects of the hole on the jet flow and acoustic fields. The acoustic levels are highest for the non-perforated plate, and decrease as the hole diameter increases, due to weaker interactions between the jet and the plate. In comparison with the levels of the free jet, they are higher by about 5 dB for the full plate, 4 dB for h = 1.33D and 2D, 3 dB for h = 3D and 2 dB for h = 4D. In the upstream direction, for the free jet, the broadband shock associated noise (BBSAN) is dominant. For the impinging jets, spatial Fourier transforms and two-dimensional spatial correlations show that the main upstream noise component is produced by the impingement of the jet turbulent structures on the plate, and that the reflections of the Mach waves on the plate are negligible. In the downstream direction, for the free jet and down to the plate for the impinging jets, the acoustic field is dominated by Mach waves produced by the convection of the jet coherent structures at a supersonic velocity. Downstream of the plate, sound waves are generated by interactions between the jet flow and the plate.