Digit Polynomials and their application to integer factorization

preprint2015arXivOpen access

Abstract

This paper presents the concept of digit polynomials, which leads to a deterministic and unconditional integer factorization algorithm with the runtime complexity O(N1/4+ε)\mathcal{O}(N^{1/4+ε}). 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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