Heuristics on pairing-friendly elliptic curves
John L. Boxall · DOAJ (DOAJ: Directory of Open Access Journals) · 2012
We present a heuristic asymptotic formula as for the number of isogeny classes of pairing-friendly elliptic curves over prime fields with fixed embedding degree , with fixed discriminant, with rho-value bounded by a fixed such that , and with prime subgroup order at most x.