Improvements on the Cantor-Zassenhaus factorization algorithm
نویسندگان
چکیده
منابع مشابه
Improvements on the Cantor-Zassenhaus Factorization Algorithm
We describe a new simplified version of the Cantor-Zassenhaus polynomial factorization algorithm, which entails a lower computational cost. The key point is to use linear test polynomials, which not only reduce the computational burden, but also enable us to derive good estimates and deterministic bounds on the number of attempts needed to factor a given polynomial. Mathematics Subject Classifi...
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We formalize the Berlekamp-Zassenhaus algorithm for factoring square-free integer polynomials in Isabelle/HOL. We further adapt an existing formalization of Yun’s square-free factorization algorithm to integer polynomials, and thus provide an efficient and certified factorization algorithm for arbitrary univariate polynomials. The algorithm first performs a factorization in the prime field GF(p...
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In the following, we describe a way of factoring polynomials in Fq[X] with Drinfeld modules. We furthermore analyse the complexity of the algorithm and compare it to the well-known Cantor-Zassenhaus algorithm. 1. Defining Fq[X ]-module structures with Drinfeld modules Throughout this paper we will denote A = Fq[X ], where q is a power of some prime p, and N ∈ A for the polynomial which is to be...
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2015
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2015.144395