Does the Secretary of State's test to determine whether a child is eligible for Social Security benefits have any constitutional implications?

Doran, also relying on Lucas, responds that even if the Secretary's test promotes administrative convenience, this rationale is constitutionally impermissible if it conclusively denies illegitimate children the opportunity to establish their eligibility for benefits. See id. at 512, 96 S.Ct. at 2765; Jimenez v. Weinberger, 417 U.S. 628, 635-36, 94 S.Ct. 2496, 2501, 41 L.Ed.2d 363 (1974). The Secretary concedes that the government may not irrebuttably presume that certain illegitimate children are ineligible, but claims the "regular and substantial" test does not deny an illegitimate child the opportunity to demonstrate his father's support. The Secretary contends his test merely requires the child to prove his father's support was regular and substantial.