Conn. Gen. Stat. § 45a-438b

Except as provided in section 45a-731 , for the purposes of this chapter, a parent and the parent's kindred shall qualify for inheritance from or through a child if parentage is established in accordance with the provisions of the Connecticut Parentage Act or by adoption. If parentage is based on subdivision (3) of subsection (a) of section 46b-488 or sections 46b-495 to 46b-505 , inclusive, of the Connecticut Parentage Act, parentage shall be established by a voluntary acknowledgment of parentage under sections 46b-476 to 46b-487 , inclusive, of the Connecticut Parentage Act, or by court adjudication.