General number field sieve (Second Category Integer Factoring Integer Factoring)

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Time Complexity

$O(exp(({1}+o({1})$)({64}n/{9})^{({1}/{3})}(log n)^{({2}/{3})}) heuristically?

Space Complexity

$O(n^{2/3})$ bits

(http://www.ams.org/notices/199612/pomerance.pdf)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Year

1996

Reference

http://www.ams.org/notices/199612/pomerance.pdf