S.D. Codified Laws § 7-8-12.3
The board of county commissioners may, within one hundred eighty days of receipt of such written order, redistrict the county's commission districts once to avoid any perceived or potential violation of state or federal law. The commissioners may change the boundaries of the commissioner districts in order that each district is as regular and compact in form as practicable and shall redistrict the county so that each commission district complies with the Equal Protection Clause of the Fourteenth Amendment, as determined by the last preceding federal decennial census; or the board may, at that time, choose to have commissioners elected at large. The board may choose to have its members elected from single-member districts, from multi-member districts, or from a hybrid plan of single- and multi-member districts. Redistricting may occur only after giving notice by publication for at least one week in the official newspapers of the county.
SDCL 7-8-12.3