> However, I don't know of any new (or old) algorithm by Mark van Hoeij
> that addresses the problem of "Efficient Multivariate Factorization Over
> Finite Fields" using LLL.  Could you please clarify.
> I am aware of Mark's algorithms for univariate polynomial factorization
> over global fields using LLL.

Sorry, what is the issue with Sage ?  You need evaluation/
interpolation and Hensel lifting ?
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