All petitions for nomination shall be filed by mail or in person as follows:
Where a vacancy occurs in the office of Supreme, Appellate or Circuit Court Judge within the 3-week period preceding the 134th day before a general primary election, petitions for nomination for the office in which the vacancy has occurred shall be filed in the principal office of the State Board of Elections not more than 120 nor less than 113 days prior to the date of the general primary election.
Where the nomination is to be made for delegates or alternate delegates to a national nominating convention, then such petition for nomination shall be filed in the principal office of the State Board of Elections not more than 141 and not less than 134 days prior to the date of the primary; provided, however, that if the rules or policies of a national political party conflict with such requirements for filing petitions for nomination for delegates or alternate delegates to a national nominating convention, the chair of the State central committee of such national political party shall notify the Board in writing, citing by reference the rules or policies of the national political party in conflict, and in such case the Board shall direct such petitions to be filed in accordance with the delegate selection plan adopted by the state central committee of such national political party.
10 ILCS 5/7-12