LLL algorithm (Integer Relation Integer Relation)

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Time Complexity

$O(n^{4})$

Space Complexity

$O(n^{2})$ words

(Derived: Uses n auxiliary vectors each of length n, as well as an nxn matrix)

Description

Lattice-based

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

1982

Reference

https://www.math.leidenuniv.nl/~hwl/PUBLICATIONS/1982f/art.pdf