The board of voter registration and elections for the counties shall convene a meeting on the Thursday next following the primary, before one o’clock p.m. of that day and shall organize as the county board of canvassers for primaries. They may appoint a competent person as secretary. The chairman shall administer the constitutional oath to each member of the board and to the secretary. The secretary shall administer to the chairman the same oath. Each county board of canvassers for primaries shall canvass the votes of the county and declare the results. The county board of canvassers for primaries shall make statements of the votes of the precincts of its county as the nature of the primary requires not later than twelve o’clock noon on the Saturday next following the primary and at that time transmit and certify to the Board of State Canvassers the results of its findings. This procedure must be repeated following every primary runoff. The Board of State Canvassers shall convene a meeting scheduled through the office of the State Election Commission and shall canvass the vote and declare the results of the primaries and the runoffs no later than twelve o’clock noon on the Saturday next following the primary in the State for state offices, federal offices, and offices involving more than one county. Nothing in this section prohibits any meeting required by this section from being conducted by using telephone conference or other means of telecommunication or electronic communication. Any meeting provided for in this section must be accessible and without cost to the public and must comply with the notice requirements of Chapter 4 of Title 30, the Freedom of Information Act.