Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

feat: general extensions via polynomial division #55

Closed
2 tasks
Autoparallel opened this issue May 10, 2024 · 0 comments · Fixed by #58
Closed
2 tasks

feat: general extensions via polynomial division #55

Autoparallel opened this issue May 10, 2024 · 0 comments · Fixed by #58
Assignees

Comments

@Autoparallel
Copy link
Contributor

Idea

We have Ext2<F> which allows us to build a degree 2 extension over a FiniteField given an irreducible polynomial. However, this is quite hard coded, and we could improve this interface along with the ExtensionField trait by using our Polynomials which have implement Rem.

Tasks

To get this done, let's break this up into a few small tasks.

  • Replace the implementation of Ext2 with a Polynomial as a field instead of [F; 2] where multiplication can be done modulo an irreducible Polynomial.
  • NEEDS MORE INFORMATION Adjust traits as necessary and consider a general Ext<N, F> wrapper to house Nth extensions over some field F.

At the moment, I don't know more specific tasks. I will take a look in the codebase and take more notes here as it unfolds.

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Labels
None yet
Projects
None yet
Development

Successfully merging a pull request may close this issue.

2 participants