Except as provided by § 12-5-4 and as may be otherwise provided in chapter 12-9, no candidate for any office to be filled, or nomination to be made, at either or both the primary or general election, other than a presidential election, may have that person's candidate's name printed upon the official primary election ballot of that person's candidate's party, unless a petition has been filed on that person's behalf of the candidate after December thirty-first and by the last third Tuesday of March at five p.m. local time before the date of the primary election. If the petition is mailed by registered mail by the last Tuesday of March at five p.m. local time before the primary election, the petition shall be considered timely submitted. A nominating petition for national convention delegates and alternates as provided in § 12-5-3.11 shall must be filed in accordance with the provisions of this section. Nominating petitions for all party and public offices A nominating petition for any party or public office, except legislative and judicial offices shall, must be filed in the office of with the county auditor of the county in which the person is a candidate. Nominating petitions A nominating petition for any legislative and or judicial office whether elected in one or more counties, and all other party and public offices to be, or any other public or party office that is voted on in more than one county shall be filed in the Office of the Secretary of State, must be filed with the secretary of state.