The state board shall proceed to tabulate the state primary returns and announce the results, but shall issue no certificates of nomination until the expiration of the period in which a recount may be requested as provided in § 17-15-34 has expired and, if a request has been filed, until the result has been finally determined by the state board. Following the expiration of this period and the final determination by the state board, if any request for a recount is made, the board shall issue certificates of nomination or election to the candidates so nominated or elected.