Upon receipt of such profiles, cross sections, plans, and specifications, the board shall publish a notice calling for sealed bids for the performance of the work specified. The notice shall refer to said profiles, cross sections, plans, and specifications, and shall set a time at which bids will be opened. The board shall cause this notice to be published for at least 10 consecutive times, prior to the date set for opening bids, in a daily newspaper of general circulation printed and published in the county and designated by the board, or for at least two consecutive times prior to such date in a weekly newspaper printed and published in the county and designated by the board.