Any person contracting with the state shall make payment to any subcontractor employed by such contractor within thirty days of payment by the state to the contractor for any work performed or, in the case of any contract entered into on or after October 1, 1986, for materials furnished by such subcontractor, provided such contractor may withhold such payment if such contractor has a bona fide reason for such withholding and if such contractor notifies the affected subcontractor, in writing, of his reasons for withholding such payment and provides the state board, commission, department, office, institution, council or other agency through which such contractor had made the contract, with a copy of the notice, within such thirty-day period.