Conn. Gen. Stat. § 9-375b

Notwithstanding the provisions of sections 9-374 and 9-375 , during the second calendar year following the year in which the decennial census of the United States is taken, (1) any amendments of the state rules of a particular party necessitated by redistricting may be made by a majority vote of the members of the state central committee of such party voting thereon at a meeting called for the purpose of considering such amendments, and (2) any amendments of the local rules of a particular party necessitated by redistricting may be made by a majority vote of the members of the town committee of such party voting thereon at a meeting called for the purpose of considering such amendments. Any such amendments shall be effective upon the filing of a copy thereof in the office of the Secretary of the State by the chairman or vice-chairman of such political party.