Rational sieve (Second Category Integer Factoring Integer Factoring)

From Algorithm Wiki
Jump to navigation Jump to search

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