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In ‘`fff`’ square-free factorization, DDF (distinct degree factorization),
irreducible factorization and primality check are implemented for
univariate polynomials over finite fields.

Factorizers return lists of [**factor**,**multiplicity**]. The factor
part is monic and the information on the leading coefficient of the
input polynomial is abandoned.

The algorithm used in square-free factorization is the most primitive one.

The irreducible factorization proceeds as follows.

- DDF
- Nullspace computation by Berlekamp algorithm
- Root finding of minimal polynomials of bases of the nullspace
- Separation of irreducible factors by the roots

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