Factoring Numbers in 0(log n) Arithmetic Steps

In this paper we show that a non-trivial factor of a composite number n can be found by performing arithmetic steps in a number proportional to the number of bits in n, and thus there are extremely short straight-line factoring programs. However, this theoretical result does not imply that natural n...

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Bibliographic Details
Main Author: Shamir, Adi
Published: 2023
Online Access:https://hdl.handle.net/1721.1/148919