The adjutant general may award a good conduct medal with accompanying ribbon to any enlisted member of the national guard or state defense force who completes a three-year period of service free from unauthorized absence, reprimand, court-martial or other disciplinary action and free from any civilian conviction. Subsequent three-year periods of service shall be acknowledged by the presentation and wearing of an affixed device signifying in arabic numerals the number of such awards to the member.
NMS § 20-10-13