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GI
2007
Springer

On Factoring Arbitrary Integers with Known Bits

14 years 5 months ago
On Factoring Arbitrary Integers with Known Bits
: We study the factoring with known bits problem, where we are given a composite integer N = p1p2 . . . pr and oracle access to the bits of the prime factors pi, i = 1, . . . , r. Our goal is to find the full factorization of N in polynomial time with a minimal number of calls to the oracle. We present a rigorous algorithm that efficiently factors N given (1 − 1 r Hr) log N bits, where Hr denotes the rth harmonic number.
Mathias Herrmann, Alexander May
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where GI
Authors Mathias Herrmann, Alexander May
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