Conn. Gen. Stat. § 9-453o

(b) Except as otherwise provided in this subsection, the Secretary of the State shall approve every nominating petition which contains sufficient signatures counted and certified on approved pages by the town clerks. In the case of a candidate who petitions under a reserved party designation the Secretary shall approve the petition only if it meets the signature requirement and if a statement endorsing such candidate is filed with the Secretary by the party designation committee not later than four o'clock p.m. on the sixty-second day before the election. In the case of a candidate who petitions under a party designation which is the same as the name of a minor party the Secretary shall approve the petition only if it meets the signature requirement and if a statement endorsing such candidate is filed in the office of the Secretary by the chairman or secretary of such minor party not later than four o'clock p.m. on the sixty-second day before the election. No candidate shall be qualified to appear on any ballot by nominating petition unless the candidate's petition is approved by the Secretary pursuant to this subsection.

(c) The Secretary of the State may approve a nominating petition received under section 9-453k at any time except such approval shall be withdrawn if sufficient signatures are withdrawn under section 9-453h .