S.D. Codified Laws § 12-21-39
The secretary of state shall file all certificates involved in the recount as to any office, nomination, position, or question that have been received from the county recount boards. The secretary of state shall fix a time and place as early as reasonably possible for reconvening the State Board of Canvassers and shall notify the members of the State Board of Canvassers. The State Board of Canvassers shall reconvene at the time and place so designated and recanvass the official returns as to the office, nomination, or position, as corrected by the certificates. The State Board of Canvassers shall make a new and corrected abstract of the votes cast and declare the person elected or nominated as the case may be or the determination of any question. The corrected abstract shall be signed by the members of the State Board of Canvassers in their official capacities and shall have the great seal of the state affixed. The corrected abstract shall be filed by the secretary of state.
SDCL 12-21-39