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This communication presents results for the low sidelobe synthesis using amplitude-only tapering applied on the turned ON elements of large circular thinned arrays. The low sidelobe synthesis was carried out with the same iterative Fourier transform method that was developed earlier to restore the original sidelobe performance in case of defective array elements. The presented low sidelobe results refer to highly thinned circular arrays with diameters ranging from 25 to 133.3 wavelengths and involved both sum and difference patterns. In addition, sector nulling in combination with low sidelobes was numerical investigated.