Heuristics on pairing-friendly elliptic curves

نویسنده

  • John Boxall
چکیده

We present a heuristic asymptotic formula as x → ∞ for the number of isogeny classes of pairing-friendly elliptic curves over prime fields with fixed embedding degree k ≥ 3, with fixed discriminant, with rho-value bounded by a fixed ρ0 such that 1 < ρ0 < 2, and with prime subgroup order at most x.

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عنوان ژورنال:
  • J. Mathematical Cryptology

دوره 6  شماره 

صفحات  -

تاریخ انتشار 2012