I need a software/computer algebra package which allows irreducible factorization of a polynomial over finite field extensions (specifically $GF(2^{n}$)). After searching online I could only find tools for factorization over $GF(p)$ and not its extensions. Can anybody please suggest? Open source would be preferable for my usage.
2026-04-19 00:51:53.1776559913
software to factor polynomials over finite field extensions
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This is possible with Sage (containing Pari GP), Gap, Magma and other CAS. There are several links in the web, see for example here, which is explicitly for specifying the extension.