Song Tian

most citedTranslating the discrete logarithm problem on Jacobians of genus 3 hyperelliptic curves with

(ℓ, ℓ, ℓ)

-isogenies

5 citations · 9 across the 2 of their papers we have counts for

collaborators

2 papers

cs.CR2020★ 4 cited

Cover attacks for elliptic curves with prime order

Song Tian

We give a new approach to the elliptic curve discrete logarithm problem over cubic extension fields $F_{q^{3}}$ . It is based on a transfer: First an $F_{q}$ -rational…

math.AG2020★ 5 cited

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

Song Tian

We give an algorithm to compute $(ℓ, ℓ, ℓ)$ -isogenies from the Jacobians of genus three hyperelliptic curves to the Jacobians of non-hyperelliptic curves. An important appli…

Cover attacks for elliptic curves with prime order

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

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