Traditional STARKs require a cyclic group of a smooth order in the field. This allows efficient interpolation of points using the FFT algorithm, and writing constraints that involve neighboring rows. The Elliptic Curve FFT (ECFFT, Part I and II) introduced a way to make efficient STARKs for any finite field, by using a cyclic group of an elliptic curve. We show a simpler construction in the lines of ECFFT over the circle curve $x^2 + y^2 = 1$. When $p + 1$ is divisible by a large power of $2$...
