Welcome to the resource topic for 2007/425
Title:
On prime-order elliptic curves with embedding degrees k=3,4 and 6
Authors: Koray Karabina, Edlyn Teske
Abstract:We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k=3,4 or 6 (MNT curves) may be obtained. We give an explicit algorithm to generate such curves. We derive a heuristic lower bound for the number E(z) of MNT curves with k=6 and discriminant D\le z, and compare this lower bound with experimental data.
ePrint: https://eprint.iacr.org/2007/425
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