When an exclusive privilege to harvest kelp has been granted by lease by the commission, the commission shall furnish a true copy thereof to the department. The department shall file a notice for record in the recorder’s office of the county in which the kelp bed or beds, or part thereof, are located, setting forth the name of the person having the privilege, the description of the kelp bed or beds, or part thereof, and the time for which the privilege has been granted. The notice required to be filed for record under this section may be a copy of the executed lease.