Rational sieve (Second Category Integer Factoring Integer Factoring)

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Revision as of 11:38, 15 February 2023 by Admin (talk | contribs) (Created page with "== Time Complexity == $O(e^{sqrt(({2}+o({1})$)n*logn)}) == Space Complexity == $O(n+(B/logB)$^{2})? bits (Same general approach as Dixon's algorithm) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM? == Year == 1993 == Reference == https://www.ams.org/journals/mcom/1993-61-203/S0025-5718-1993-1182953-4/S0025-5718-1993-1182953-4.pdf")
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Time Complexity

$O(e^{sqrt(({2}+o({1})$)n*logn)})

Space Complexity

$O(n+(B/logB)$^{2})? bits

(Same general approach as Dixon's algorithm)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM?

Year

1993

Reference

https://www.ams.org/journals/mcom/1993-61-203/S0025-5718-1993-1182953-4/S0025-5718-1993-1182953-4.pdf