This term I have many cryptography courses treating finite fields. I was wondering if there is any good software that could help doing basic operations in galois fields etc. I already googled but found nothing appropriate.
What I would need:
A tool/software that can calculate in arbitrary galois fields
In addition to that I would need a function to generate an irreducible polynomial for a given field. (parameters could get big e.g. 2^100)
I already considered matlab generating a irreducible polynomial for gf(2^103), but computation takes too long.
Do you have any recommendations and do you know any good programs for calculation in finite fields?