Distortion maps for genus two curves
数论
2007-05-23 v1
摘要
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 genus g>1 and we construct distortion maps in genus 2 (for embedding degrees 4,5,6 and 12).
引用
@article{arxiv.math/0611471,
title = {Distortion maps for genus two curves},
author = {Steven D. Galbraith and Jordi Pujolàs and Christophe Ritzenthaler and Benjamin Smith},
journal= {arXiv preprint arXiv:math/0611471},
year = {2007}
}
备注
16 pages