New mexico constitution
Article VII: elective franchise
Section 1

The legislature may enact laws providing for absentee voting by qualified electors. All school elections shall be held at different times from other elections. The legislature shall have the power to require the registration of the qualified electors as a requisite for voting and shall regulate the manner, time and places of voting. The legislature shall enact such laws as will secure the secrecy of the ballot and the purity of elections and guard against the abuse of elective franchise. Not more than two members of the board of registration and not more than two judges of election shall belong to the same political party at the time of their appointment.