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arXiv · 1307.5529

Computing the bound of an Ore polynomial. Applications to factorization

Jose Gomez-Torrecillas·F. J. Lobillo·Gabriel Navarro
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Abstract

We develop a fast algorithm for computing the bound of an Ore polynomial over a skew field, under mild conditions. As an application, we state a criterion for deciding whether a bounded Ore polynomial is irreducible, and we discuss a factorization algorithm. The asymptotic time complexity in the degree of the given Ore polynomial is studied. In the class of Ore polynomials over a finite field, our algorithm is an alternative to Giesbretch's one that reduces the complexity in the degree of the polynomial.

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Jose Gomez-Torrecillas, F. J. Lobillo, Gabriel Navarro. 2013-07-21. Computing the bound of an Ore polynomial. Applications to factorization. https://arxiv.org/abs/1307.5529

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