Pairings on hyperelliptic curves

Details Pairings on hyperelliptic curves Pairings on hyperelliptic curves

2009-08-26

arxiv.org/abs/0908.3731v2

Mathematics

Number Theory

v2: with corrections and improvements in sections 4 and 5

Scientific paper

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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