refactor: remove sage from mr estimator

[Dioprz]

Description

• Replace the usage of Sage power series for MinRank-minor-series related operations by using Sympy polynomials and matrices.

• Migration of any other Sage function into the Python native ones.

• I created an extended_binomial(n,k) function required for this estimator, able to handle negative ns.

About performance:

This implemention of minors_polynomials[_degree] is about 8x times slower than the Sage-based one. With that said, we will be able to replace Sympy with python-flint in the future by using a C-Flint type used to calculate determinants over matrices of polynomials, when ported and exposed by python-flint. This should resolve (and probably even improve) the performance with respect to Sage.

Review process

make docker-run
pytest --doctest-modules -n auto -vv -s cryptographic_estimators/MREstimator/

Pre-approval checklist

• [x] The code builds clean without any errors or warnings
• [x] I've added/updated tests
• [x] I've added/updated documentation if needed

[sonarcloud[bot]]

Quality Gate passed

Issues
2 New issues
0 Accepted issues

Measures
0 Security Hotspots
53.8% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarCloud