The existing high contrast imaging techniques cannot be applied directly to the telescope of the diameter 30–100 m without taking into account the specific characteristics of a segmented surface. While the increase in telescope diameter is an advantage for the high contrast range science, the segmentation sets a limit on the performance of the coronagraph. In particular, diffraction from intersegment gaps sets a floor to the achievable extinction of the starlight. Masking out the gaps in the Lyot plane although helps increasing the contrast, does not solve completely the problem: the high spatial frequency component of the diffractive light remains. In the paper I suggest using a Lyot stop which produces a phase-amplitude modulation in order to reduce the effect of segmentation.