N.M. Stat. § 27-14-3
Definitions.
As used in the Medicaid False Claims Act:
A. "claim" means a written or electronically submitted request for payment of health
care services pursuant to the medicaid program;
B. "department" or "authority" means the health care authority;
C. "medicaid" means the federal-state program administered by the health care
authority pursuant to Title 19 or Title 21 of the federal Social Security Act;
D. "medicaid recipient" means a person on whose behalf a person claims or
receives a payment from the medicaid program, regardless of whether the person was
eligible for the medicaid program; and
E. "qui tam" means an action brought under a statute that allows a private person to
sue for a recovery, part of which the state will receive.