UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 2:20

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Conference: Bucharest University Faculty of Physics 2005 Meeting


Section: Theoretical Physics and Applied Mathematics Seminar


Title:
On the Squarefree Factorization in Fq[x]


Authors:
Ion D. Ion, Gabriel Pavel


Affiliation:
Department of Mathematics, Faculty of Physics, University of Bucharest, P.O. Box MG-11, Bucharest-Magurele, Romania


E-mail
pgabi78@yahoo.com


Keywords:
squarefree, decomposition, factorization


Abstract:
Some results on the squarefree decomposition of polynomials in Fq[x]are given. Finally, we apply those results to extend the applicability area of Yun`s algorithm to any monic polynomial from Fq[x]. We obtain squarefree decomposition using both the standard decomposition and Yun`s algorithm for k times, in a recursive way.