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arXiv · 2210.04835

Factoring Numbers with elliptic curves

Jorge Jimenez Urroz·Jacek Pomykala
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Abstract

In the present paper we provide a probabilistic polynomial time algorithm that reduces the complete factorization of any squarefree integer $n$ to counting points on elliptic curves modulo $n$, succeeding with probability $1-\varepsilon$, for any $\varepsilon<0$ .

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Jorge Jimenez Urroz, Jacek Pomykala. 2022-10-10. Factoring Numbers with elliptic curves. https://arxiv.org/abs/2210.04835

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