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Paper 2008/250

Pairings on hyperelliptic curves with a real model

Steven Galbraith and Xibin Lin and David Mireles

Abstract

We analyse the efficiency of pairing computations on hyperelliptic curves given by a real model using a balanced divisor at infinity. Several optimisations are proposed and analysed. Genus two curves given by a real model arise when considering pairing friendly groups of order dividing $p^{2}-p+1$. We compare the performance of pairings on such groups in both elliptic and hyperelliptic versions. We conclude that pairings can be efficiently computable in real models of hyperelliptic curves.

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Publication info
Published elsewhere. Unknown where it was published
Keywords
hyperelliptic curvespairingsreal models
Contact author(s)
david mireles @ gmail com
History
2008-06-03: received
Short URL
https://ia.cr/2008/250
License
Creative Commons Attribution
CC BY
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