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arXiv · 1211.0971

Heuristics of the Cocks-Pinch method

Min Sha
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Abstract

We heuristically analyze the Cocks-Pinch method by using the Bateman-Horn conjecture. Especially, we present the first known heuristic which suggests that any efficient construction of pairing-friendly elliptic curves can efficiently generate such curves over pairing-friendly fields, naturally including the Cocks-Pinch method. Finally, some numerical evidence is given.

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Min Sha. 2014-01-19. Heuristics of the Cocks-Pinch method. https://arxiv.org/abs/1211.0971

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