S.D. Codified Laws § 46A-4-81
If a majority of the assessment payers, representing a majority of the number of acres of irrigable land within any irrigation district, petition the board of directors to call a special election for the purpose of submitting to the qualified electors of the irrigation district a proposition to vote on the discontinuance of the irrigation district and a settlement of its bonded and other indebtedness, the board of directors shall call an election, setting forth the object of the election. The board shall publish a notice of the election in some newspaper in each of the counties in which the district is located, and in which a newspaper is published, for a period of thirty days before the election, setting forth the time and place for holding the election in each of the voting precincts in the district. The board shall also post a written or printed notice of the election in some conspicuous place in each of the voting precincts.
SDCL 46A-4-81