N.C. Gen. Stat. § 120-4.26A
In the event of the death of a retired member while in receipt of a retirement allowance under the provisions of this Article, there shall be paid to such person or persons as the retiree shall have nominated by electronic submission in a form approved by the Board of Trustees or by written designation duly acknowledged and filed with the Board of Trustees, if such person or persons are living at the time of the retiree's death, otherwise to the retiree's legal representatives, a death benefit equal to the excess, if any, of the accumulated contributions of the retiree at the date of retirement over the total of the retirement allowances paid prior to the death of the retiree.
In the event that a retirement allowance becomes payable to the designated survivor of a retired member under the provisions of G.S. 120-4.26 and such retirement allowance to the survivor shall terminate upon the death of the survivor before the total of the retirement allowances paid to the retiree and the designated survivor combined equals the amount of the accumulated contributions of the retiree at the date of retirement, the excess, if any, of such accumulated contributions over the total of the retirement allowances paid to the retiree and the survivor combined shall be paid in a lump sum to such person or persons as the retiree shall have nominated by electronic submission in a form approved by the Board of Trustees or by written designation duly acknowledged and filed with the Board of Trustees, if such person or persons are living at the time such payment falls due, otherwise to the retiree's legal representative.
N.C. Gen. Stat. § 120-4.26A