ORS § 255.245
Except as provided in ORS 255.400 to 255.424, if a vacancy occurs in the office of district board member after the deadline for notice in ORS 255.069(2) and on or before the 62nd day before the regular district election, the Secretary of State by rule shall provide a nominating schedule when practicable so that candidates' names may be printed on the regular election ballot. With regard to this vacancy, requirements of publication of notice and sample ballots may be waived. The rule shall require notice of the vacancy and nominating procedure to the district electors by the most reasonable and expeditious means practicable under the circumstances, including but not limited to single publication in a newspaper of general circulation in the district.
ORS 255.245