S.D. Codified Laws § 31-2-36
Service upon the State of South Dakota shall be made by serving a copy of the summons, with the complaint attached, upon any authorized representative of the South Dakota Department of Transportation and also by serving copies of the summons and complaint upon the Governor and attorney general of the State of South Dakota, in the manner provided for the service of process in actions brought in the circuit courts of the State of South Dakota, or by serving a copy of the summons, with the complaint attached, upon any authorized representative of the South Dakota Department of Transportation and also by serving copies of the summons and complaint upon the Governor and attorney general of the State of South Dakota in the manner provided for service of process in actions brought in United States district courts, except only that the state shall be required to appear within thirty days after the day such process is served in the manner herein provided.
SDCL 31-2-36