S.D. Codified Laws § 5-7-21
Whenever an application is made for such an oil and gas or geothermal resources lease the commissioner of school and public lands shall advertise the lands for lease by the publication, once in each week for at least two successive weeks in a newspaper of general circulation published in the county where the lands are located, if there be one, or if there be none, in such newspaper as will be most likely to give notice of the leasing, of a notice stating the time and place at which the leasing of such lands will be held. The commissioner shall conduct the letting at public auction. The commissioner may establish such rules and regulations as in his judgment shall be necessary in order that the lands may be leased most profitably for the state and to carry out the provisions of this chapter. The lands shall be leased to the highest bidder but the commissioner shall have the right to reject any or all bids.
SDCL 5-7-21