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arXiv · 1107.0307

Heuristics on pairing-friendly elliptic curves

John Boxall
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Abstract

We present a heuristic asymptotic formula as $x\to \infty$ for the number of isogeny classes of pairing-friendly elliptic curves with fixed embedding degree $k\geq 3$, with fixed discriminant, with rho-value bounded by a fixed $\rho_0$ such that $1<\rho_0<2$, and with prime subgroup order at most $x$.

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John Boxall. 2011-07-01. Heuristics on pairing-friendly elliptic curves. https://arxiv.org/abs/1107.0307

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