Kan. Stat. § 25-2302d
An elector who was a person in federal service within the meaning of K.S.A. 25-1214, and amendments thereto, and whose status in such federal service has been terminated by discharge from the armed forces, by separation from the merchant marine, or by termination of service or employment outside the territorial limits of the United States, too late to enable such person to register at the time when and place where registration is required, shall be entitled to register for the purpose of voting only at the next ensuing election after such discharge, separation, or termination of employment, as herein provided. Such elector shall execute and file with the county election officer of the county of his residence, not later than 12:00 o'clock noon on the day before the election, an affidavit in form to be prescribed by the secretary of state, establishing the eligibility of such elector to register under this section. The county election officer shall provide to the person registering under the provisions of this section a certificate stating the precinct in which he is entitled to vote, which shall be presented to and filed with the election board of that precinct at the time of voting.
K.S.A. 25-2302d