The board of supervisors shall adopt plans, specifications, and working details for such construction or repair and shall cause a notice, calling for bids therefor, to be published in a newspaper of general circulation published in the county. Such notice shall be published for at least 10 consecutive times in a daily newspaper of general circulation published in the county or for at least two consecutive times in a weekly newspaper published in the county. If there is no newspaper published in the county, such notice shall be given by posting in three public places in the county for at least two weeks.