S.D. Codified Laws § 31-12A-15.1
Notice of the meeting and election required by § 31-12A-15 shall be given by the secretary-treasurer by one publication in a legal newspaper of general circulation in each county in which the district is situated or notice may be given by posting in a public place within the district and delivering the notice to each eligible voter of the district. The notice shall include the time and place of the election and candidate names for each vacancy to be filled at the election. The meeting shall be held not less than seven days nor more than fourteen days after the date of publication or delivery of the notice.
The same type of notice shall be given setting forth each vacancy occurring by termination of the term of office of any elective officer. The notice shall also state the time and place where nominating petitions may be filed for each office. The notice shall be given not less than thirty days prior to the deadline for filing nominating petitions.
SDCL 31-12A-15.1