An unselected candidate desiring to have her or his name placed on the presidential preference primary ballot shall have nomination papers circulated on her or his behalf. In order to qualify the name of that candidate for placement on the presidential preference primary ballot, the nomination papers of the candidate shall be signed by voters registered as preferring the Green Party equal in number to not less than 1 percent of the number of persons registered as preferring the Green Party as reflected in the report of registration issued by the Secretary of State on the 135th day before the presidential primary election.