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

Song Tian

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 appli…