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Supersingular Finite Curve

Category: crypto

Author: Rok0'sBasilisk

Description

In response to the Central Finite Curve, evil Morty is forming the Supersingular Finite Curve. This is a portion of the multiverse, where Mortys dominate over Ricks. Not sure if Morty's smart enough to complete this.. his maths may be out of order...

Solution

Reveal Spoiler

Challenge provides params on a supersingular curve. Supersingular curves are know to have a small embedding degree. Curves with small embedding degrees are vulnerable to MOV attack which maps the ECDLP to DLP in a finite field that is easier to solve.

Review setup.ipynb for a working solution. Note that you need a Jupyter Sage kernel for that to run.

Use run_jupyter.sh to run one.