In lieu of the record as defined in § 15-26A-47, the parties within fifteen days of service of the notice of appeal may prepare and sign a statement of the case showing how the issues presented by the appeal arose and were decided in the trial court and setting forth only so many of the facts averred and proved or sought to be proved as are essential to a decision of the issues presented, and file a written notice of intention to file such statement with the clerk of the Supreme Court and with the clerk of the trial court. If the statement conforms to the truth, it, together with such additions as the trial court may consider necessary to present the issues raised by the appeal, shall be approved by the trial court and filed with the trial clerk within fifteen days of preparation. As so filed, the statement shall be the record on appeal. The trial clerk shall give written notice of said filing to the clerk of the Supreme Court.
SDCL 15-26A-55