Integer factoring and compositeness witnesses
We describe a reduction of the problem of factorization of integers n ≤ x in polynomial-time (log x)M+O(1) to computing Euler’s totient function, with exceptions of at most xO(1/M) composite integers that cannot be factored at all, and at most x exp −cM(loglogx)3(logloglogx)2$\begin{array}{} \disp...
Main Authors: | Pomykała Jacek, Radziejewski Maciej |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2020-08-01
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Series: | Journal of Mathematical Cryptology |
Subjects: | |
Online Access: | https://doi.org/10.1515/jmc-2019-0023 |
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