; or (ii) operates under the exemption, if the Secretary of the department in which the Coast Guard is operating determines that— (I) the exemption was not validly obtained; or (II) information provided in the application for the exemption was false or incomplete. (H) Notification to Secretary of State The Secretary of the department in which the Coast Guard is operating shall notify the Secretary of State of each exemption issued under this subsection, including information on the effective period of the exemption. . (b) Exemption from all documentation, registry, and manning requirements Section 30 of the Outer Continental Shelf Lands Act ( 43 U.S.C. 1356 ) is amended by adding at the end the following: (d) Exemptions from documentation, registry, and manning requirements of this section The regulations issued under subsection (a) shall not apply— (1) to a rig, or mobile offshore drilling unit, while performing offshore drilling operations