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arXiv · 0908.3731

Pairings on hyperelliptic curves

Jennifer Balakrishnan·Juliana Belding·Sarah Chisholm·Kirsten Eisentraeger·Katherine Stange·Edlyn Teske
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Abstract

We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the research on constructing hyperelliptic curves suitable for pairing-based cryptography. We also showcase the hyperelliptic pairings proposed to date, and develop a unifying framework. We discuss the techniques used to optimize the pairing computation on hyperelliptic curves, and present many directions for further research.

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Jennifer Balakrishnan, Juliana Belding, Sarah Chisholm, Kirsten Eisentraeger, Katherine Stange, Edlyn Teske. 2009-09-23. Pairings on hyperelliptic curves. https://arxiv.org/abs/0908.3731

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