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arXiv · 1912.11837

Factorization of Polynomials over the Field of Rational Numbers

Duggirala Meher Krishna·Duggirala Ravi
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Abstract

In this paper, a randomized algorithm for deciding the irreducibility of an irreducible polynomial and factoring a reducible polynomial over the field of rational numbers is presented. The main idea underlying the algorithm is based on conversion of a given polynomial into a polynomial with integer coefficients and reduction to mod p, for several large prime numbers p, without applying a lifting method.

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Duggirala Meher Krishna, Duggirala Ravi. 2019-12-26. Factorization of Polynomials over the Field of Rational Numbers. https://arxiv.org/abs/1912.11837

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