S.D. Codified Laws § 46A-4-66
The secretary of the board of directors shall publish a notice of the filing of the petition once each week for at least two successive weeks in some newspaper published in the county where the office of the board of directors is situated. If any portion of the territory to be excluded lies within another county, then the notice shall be published in a newspaper published within each of the counties. If no newspaper is published in such counties, notice shall be provided by posting the notice for the same time in at least three public places in the district. In the case of the posting of notices, one such notice shall be posted on the lands proposed to be excluded. The notice shall state the filing of the petition, the names of the petitioners, a description of the lands mentioned in the petition, and the prayer of the petition. The notice shall notify all persons interested in or that may be affected by the change of the boundaries of the district to appear at the office of the board, at a time named in the notice, and show cause in writing why the change in the boundaries of the district, as proposed in the petition, should not be made. The time to be specified in the notice at which they shall be required to show cause shall be at the next regular meeting of the board after the expiration of the time for the publication of the notice.
SDCL 46A-4-66