S.D. Codified Laws § 3-12C-826
Upon the death of a member receiving disability benefits, who dies prior to normal retirement age, a family benefit must be paid on behalf of any eligible child of the member. The monthly amount of the family benefit is the amount of the monthly disability benefits the member received before death. The monthly family benefit must be equally apportioned among any eligible children of the member and must be paid on behalf of any child in accordance with § 3-12C-902. However, if the child is eighteen years of age or older, the benefit is payable directly to the child. As a child becomes ineligible, the family benefit shall be reallocated among any remaining eligible children of the deceased member. The family benefit terminates if there are no eligible children of the deceased member.
SDCL 3-12C-826