The Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields
نویسندگان
چکیده
منابع مشابه
The Complete Analysis of a Polynomial Factorization Algorithm over Nite Elds the Complete Analysis of a Polynomial Factorization Algorithm over Nite Elds the Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields
A uniied treatment of parameters relevant to factoring polynomials over nite elds is given. The framework is based on generating functions for describing parameters of interest and on singularity analysis for extracting asymptotic values. An outcome is a complete analysis of the standard polynomial factorization chain that is based on elimination of repeated factors, distinct degree factorizati...
متن کاملThe Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields
A unified treatment of parameters relevant to factoring polynomials over finite fields is given. The framework is based on generating functions for describing parameters of interest and on singularity analysis for extracting asymptotic values. An outcome is a complete analysis of the standard polynomial factorization chain that is based on elimination of repeated factors, distinct degree factor...
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This paper shows that a recently proposed approach of D. Q. Wan to bivariate factorization over finite fields, the univariate factoring algorithm of V. Shoup, and the new bound of this paper for the average number of irreducible divisors of polynomials of a given degree over a finite field can be used to design a bivariate factoring algorithm that is polynomial for "almost all" bivariate polyno...
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A new deterministic factorization algorithm for polynomials over finite fields was recently developed by the first author. The bottleneck in this algorithm is the last stage in which the irreducible factors of the polynomial are derived from the solutions of a system of linear equations. An efficient approach to the last stage was designed by the second author for the case of finite fields of c...
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ژورنال
عنوان ژورنال: Journal of Algorithms
سال: 2001
ISSN: 0196-6774
DOI: 10.1006/jagm.2001.1158