New bivariate Hensel lifting algorithm for n factors

Author:

Paluck Garrett1,Monagan Michael1

Affiliation:

1. 8888 University Dr, Burnaby

Abstract

We present a new algorithm for performing linear Hensel lifting of bivariate polynomials over a finite field F p with p elements. It lifts n monic, univariate polynomials to recover the factors of a polynomial A ( x , y ) ∈ F p [ x , y ] which is monic in x , and bounded by degrees d x = deg( A , x ) and d y = deg( A , y ). Our algorithm improves upon Bernardin's algorithm in [1] and reduces the cost from [EQUATION] to [EQUATION]. Experimental results show that our algorithm works efficiently for large degree polynomials.

Publisher

Association for Computing Machinery (ACM)

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Factoring non-monic polynomials represented by black boxes;ACM Communications in Computer Algebra;2022-06

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