Heuristics on pairing-friendly elliptic curves

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.

Bibliographic Details
Main Author: Boxall John
Format: Article
Language:English
Published: De Gruyter 2012-10-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2011-0004