Written nominations of any candidate as director may be filed in accordance with the provisions of the Local Election Act [N.M. Stat. Ann. Chapter 1, Article 22]. Each nomination of any candidate shall be signed by not less than fifty qualified electors who reside within the district for which the candidate has been nominated, shall designate the name of the candidate nominated and shall recite that the subscribers are qualified electors of the district for which the candidate is nominated and that the candidate designated is a qualified elector of the authority and resides within the district for which the candidate is nominated. No qualified elector may nominate more than one candidate for any vacancy.