The term “qualifying National Guard duty during a war or other military operation or national emergency” means service as a member of the National Guard on full-time National Guard duty (as defined in section
101
(d)(5) of title
10) under a call to active service authorized by the President or the Secretary of Defense for a period of more than 30 consecutive days under section
502
(f) of title
32 in connection with a war, other military operation, or a national emergency declared by the President and supported by Federal funds.