Lenstra elliptic curve factorization (First Category Integer Factoring Integer Factoring)

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Time Complexity

$O(e^{(\sqrt(({1}+o({1}))n*log n))})$

Space Complexity

$O(n)$? bits

(constant number of values which are expressed in mod N)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM?

Year

1987

Reference

https://www.jstor.org/stable/1971363?origin=crossref&seq=1