Distortion maps for supersingular genus two curves

Distortion maps for supersingular genus two curves

Distortion maps are a useful tool for pairing based cryptography. Compared with elliptic curves, the case of hyperelliptic curves of genus g > 1 is more complicated, since the full torsion subgroup has rank 2g. In this paper, we prove that distortion maps always exist for supersingular curves of...

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Bibliographic Details
Main Authors: Galbraith Steven D., Pujolàs Jordi, Ritzenthaler Christophe, Smith Benjamin
Format: Article
Language:English
Published: De Gruyter 2009-05-01
Series:Journal of Mathematical Cryptology
Subjects:
hyperelliptic curve cryptography
pairings
supersingular curves
distortion maps
Online Access:https://doi.org/10.1515/JMC.2009.001

Internet

https://doi.org/10.1515/JMC.2009.001

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