The Board, upon petition by a group of small grains producers representing at least 10 percent of the number of producers, as determined by the Commissioner, may provide for a referendum on the continuation of the assessment. The Board shall not act on such a petition for conducting such a referendum until at least five years have passed since the last referendum. If the Governor determines that a simple majority is not in favor of the assessment, the Board shall hold no new referendum for at least one year after the Governor has declared his findings, but at the expiration of one year and upon petition by 10 percent of the Commonwealth’s small grains producers that voted in the most recent referendum, the Board may provide for a referendum. The cost of conducting any referendum under this section shall be paid from funds paid into the Virginia Small Grains Fund as defined in § 3.2-2211. The Board shall adopt regulations governing the conduct of referenda pursuant to § 3.2-112.