S.D. Codified Laws § 2-1-17
If the random sample indicates that a sufficient number of qualified electors have signed the petition, the secretary of state shall certify that the petition has been signed by the required number of qualified electors and shall place the proposed measure or amendment on the next general election ballot. If the random sample indicates that an insufficient number of qualified electors have signed the petition, the secretary of state shall certify that the petition has not been signed by the required number of qualified electors and may not place the proposed measure or amendment on the next general election ballot. The secretary of state shall, within five days of certifying, notify the petition sponsors by certified mail of the secretary of state's action pursuant to this section.
SDCL 2-1-17