亏格为2的曲线的畸变映射
Distortion maps for genus two curves
摘要：
失真映射是基于配对的密码学的有用工具。与椭圆曲线相比，亏格g > 1的超椭圆曲线的情形更为复杂，因为全挠子群的秩为2g。本文证明了亏格g>1的超奇异曲线的畸变映射总是存在的，并构造了亏格2的畸变映射（嵌入度分别为4，5，6，12）.
英文摘要：
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).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
