Distinct-degree factorization
This algorithm splits a square-free polynomial into a product of polynomials whose irreducible factors all have the same degree. Let f ∈ Fq[x] of degree n be the polynomial to be factored. is the product of all monic irreducible polynomials in Fq[x] whose degree divides i.
Abstract. A deterministic polynomial time algorithm is presented for finding the distinct-degree factorization of multivariate polynomials over finite fields.
A deterministic polynomial time algorithm is presented for finding the distinct-degree factorization of multivariate polynomials over finite fields. As a ...
Apr 6, 2011 · I would like to know currently what's the best deterministic complexity for factoring polynomials over finite field (without the assumption of GRH)?
Missing: distinct- | Show results with:distinct-
Oct 22, 2024 · A deterministic polynomial time algorithm is presented for finding the distinct-degree factorization of multivariate polynomials over finite ...
Sep 3, 2012 · The fact that the dividend is a power of x does not make the division substantially simpler. It is analogous to long division of 10n by some ...
We discuss factoring polynomials over finite fields using Elimination of Repeated. Factors (or Squarefree Factorization), Distinct Degree Factorization, ...
We determine for each fixed q and fixed n the probability that a polynomial of degree n in Fq[X] has irreducible factors of distinct degrees only. These results ...
We present a new algorithm for factoring polynomials over finite fields. Our algorithm is deter- ministic, and its running time is "almost" quadratic when the ...
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A complete distinct-degree factorization is obtained with the help of the distinct-degree algorithm for each interval that contains at least two irreducible ...