Immediately after the electoral board has determined the election results, the secretary shall make out certificates of election for each county, city, town, or district office other than an office shared by more than one county or city, or any combination thereof. The secretary shall make out the certificate for each of the persons who has the highest number of votes for the office, who has sufficient votes to be elected to a multi-member office, or, in case of a tie, who has been decided by lot to be elected. The secretary, or another board member or registrar designated by the secretary, shall deliver in person or the secretary shall transmit by certified mail the certificate to the person elected, as soon as such person has complied with the provisions of § 24.2-948.2.