Research proof index

Lemma 4.4, [AHIV22] (mutual-exclusion corollary). Either all points on the affine line are e-close to the Reed–Solomon code, or at most ‖RS‖₀ points are. The assumptions v ≠ 0 and ‖RS‖₀ < |F| are necessary for mutual exclusion: if v = 0, the affine line degenerates to a singleton and the two branches can hold simultaneously.