Conn. Gen. Stat. § 9-380
In the case of an office created after the last-preceding election, no name of any candidate for such office shall be printed on the official ballot except the name of a candidate nominated by a political party or organization whose candidate for Governor at the last-preceding election for Governor received, under the designation of that political party or organization at least twenty per cent of the whole number of votes cast for all candidates for Governor, or at least one per cent of the whole number of votes cast for all candidates for Governor at such election within the geographical limits of the jurisdiction of such newly-created office, provided, upon the filing of a nominating petition with the Secretary of the State as provided in sections 9-453a to 9-453p, inclusive, signed by a number of qualified electors equal to one per cent of the whole number of votes cast for all candidates for Governor at the last-preceding election within the geographical limits of the jurisdiction of such newly-created office, or whenever the geographical limits of the jurisdiction of a newly-created office differ from the geographical limits of a voting district or group of voting districts as the same were constituted at the time of the last-preceding election for Governor, signed by a number of qualified electors equal to one per cent of the number of electors who voted at the last regular election held in such municipality, or whenever the geographical limits of the jurisdiction of a newly-created office contain more than one town or parts of towns, signed by a number of qualified electors equal to one per cent of the number of electors who voted at the last regular election held in each town which is wholly or partially contained within the geographical limits of the jurisdiction of the newly-created office, such candidate with his party designation, if any, shall be printed on the official ballot. As used in this section, the terms "office created after the last-preceding election" and "newly-created office" do not include an office for which the geographical limits of the jurisdiction of the office have changed as result of redistricting.
Conn. Gen. Stat. § 9-380
(1963, P.A. 313, S. 1; February, 1965, P.A. 600, S. 1; 1971, P.A. 806, S. 20; P.A. 04-18, S. 1.)