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arXiv · 1304.7169

On the non-idealness of cyclotomic families of pairing-friendly elliptic curves

Min Sha
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Abstract

Let $k=2^mp^n$ for an odd prime $p$ and integers $m\ge 0$ and $n\ge 0$. We obtain lower bounds for the $ρ$-values of cyclotomic families of pairing-friendly elliptic curves with embedding degree $k$ and $r(x)=Φ_k(x)$. Our bounds imply that none of these families are ideal.

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Min Sha. 2014-04-17. On the non-idealness of cyclotomic families of pairing-friendly elliptic curves. https://arxiv.org/abs/1304.7169

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