Integer Relation Among Integers (Integer Relation)
Jump to navigation
Jump to search
Description
Given a vector $x \in \mathbb{Z}^n$, find an integer relation, i.e. a non-zero vector $m \in \mathbb{Z}^n$ such that $<x, m> = 0$
Related Problems
Generalizations: Integer Relation Among Reals
Parameters
$n$: dimensionality of vectors
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| HJLS algorithm | 1986 | $O(n^{3}(n+k))$ | $O(n^{2})$ -- but requires infinite precision with large n or else it becomes unstable | Exact | Deterministic | Time |