Is there any criterion (theorem or algorithm) to find out a given polynomial $f(x)$ is irreducible over the field $\mathbb{F}_2$?
2026-04-06 01:51:08.1775440268
irreducibility of a polynomial over $\mathbb{F}_2$
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The best way to do it is to try to factor it with Berlekamp's Algorithm. Unfortunately there isn't much anything better than that.