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Polynomial factorization over
Authors:Joachim von zur Gathen    rgen Gerhard
Institution:Fachbereich 17 Mathematik-Informatik, Universität Paderborn, D-33095 Paderborn, Germany ; Fachbereich 17 Mathematik-Informatik, Universität Paderborn, D-33095 Paderborn, Germany
Abstract:We describe algorithms for polynomial factorization over the binary field ${\mathbb F}_2$, and their implementation. They allow polynomials of degree up to $250\,000$ to be factored in about one day of CPU time, distributing the work on two processors.

Keywords:Fast algorithms  finite fields  Frobenius automorphism  polynomial factorization
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