This repository contains supporting evidence that the twisted Edwards curve -x^2 + y^2 = 1 - (10240/10241).x^2.y^2 of rational points over GF(52435875175126190479447740508185965837690552500527637822603658699938581184513), also called "Jubjub", satisfies the SafeCurves criteria.
The script verify.sage
is based on
this script from the SafeCurves site,
modified
- to support twisted Edwards curves;
- to generate a file 'primes' containing the primes needed for primality proofs, if it is not already present;
- to change the directory in which Pocklington proof files are generated
(
proof/
rather than../../../proof
), and to create that directory if it does not exist.
Prerequisites:
- apt-get install sagemath
- sage --pip install sortedcontainers
Run sage verify.sage .
, or ./run.sh
to also print out the results.
Note that the "rigidity" criterion cannot be checked automatically.