论文标题

用$(\ ell,\ ell,\ ell)$转换属3属的雅各比人的离散对数问题 -

Translating the discrete logarithm problem on Jacobians of genus 3 hyperelliptic curves with $(\ell,\ell,\ell)$-isogenies

论文作者

Tian, Song

论文摘要

我们给出了一种算法来计算$(\ ell,\ ell,\ ell)$ - 从三个属的雅各比人到非高透明曲线的雅各布人。一个重要的应用是,在非纤维化曲线的雅各布式的雅各布曲线的雅各布式中,将离散的对数问题减少。

We give an algorithm to compute $(\ell,\ell,\ell)$-isogenies from the Jacobians of genus three hyperelliptic curves to the Jacobians of non-hyperelliptic curves. An important application is to reduce the discrete logarithm problem in the Jacobian of a hyperelliptic curve to the corresponding problem in the Jacobian of a non-hyperelliptic curve.

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