Breaking the decisional Diffie-Hellman problem for class group actions using genus theory: extended version

The article gives a theoretical description of an algorithm. The dataset consists of code, written in the computer algebra software package Magma, that provides a high-level implementation of this algorithm. The code can be ran by all parties holding a Magma license, but in fact it is simple enough to be run in the Magma Calculator (http://magma.maths.usyd.edu.au/calc/), which is freely accessible. The claims in the article do not depend on this implementation. It is rather the other way around: the code serves as an illustration, for testing purposes, of the algorithm described in the article.