This survey reviews several algorithms for the factorization of univariate polynomials over finite fields. We emphasize the main ideas of the methods and provide an up-to-date bibliography of the problem.

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Journal Journal of Symbolic Computation
Von Zur Gathen, J. (Joachim), & Panario, D. (2001). Factoring Polynomials Over Finite Fields: A Survey. Journal of Symbolic Computation, 31(1-2), 3–17. doi:10.1006/jsco.1999.1002