Digit Polynomials and their application to integer factorization

Markus Hittmeir

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arXiv · 1501.03078

Digit Polynomials and their application to integer factorization

Markus Hittmeir

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Abstract

This paper presents the concept of digit polynomials, which leads to a deterministic and unconditional integer factorization algorithm with the runtime complexity $\mathcal{O}(N^{1/4+\epsilon})$. Strassen's well known factoring approach is a special case of our method. We will also consider a possibility to improve upon the complexity bound.

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Markus Hittmeir. 2015-01-13. Digit Polynomials and their application to integer factorization. https://arxiv.org/abs/1501.03078

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