A semiconductor package including a lead frame comprising a frame including both a ground ring and a chip mounting board located therein. Extending between the ground ring and the chip mounting board are a plurality of elongate slots or apertures. The ground ring is formed to include recesses within the bottom surface thereof which create regions of reduced thickness. A semiconductor chip bonded to the chip mounting board may be electrically connected to leads of the lead frame and to the ground ring via conductive wires. Those conductive wires extending to the ground ring are bonded to the top surface thereof at locations which are not aligned with the recesses within the bottom surface, i.e., those regions of the ground ring of maximum thickness.