Unbalanced Orthogonal Vectors Hypothesis (UOVH)

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Revision as of 10:30, 15 February 2023 by Admin (talk | contribs) (Created page with "== Target Problem == UOV == Description == Let $0 < \alpha \leq 1$. For no $\epsilon > 0$ there is an algorithm for OV, restricted to $m = \Theta(n^\alpha)$ and $d \leq n^{o(1)}$, that runs in time $O((nm)^{(1−\epsilon)})$. == Implies the following Hypothesis == SETH, OVH == Implied by the following Hypothesis == OVH == Computati...")
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Target Problem

UOV

Description

Let $0 < \alpha \leq 1$. For no $\epsilon > 0$ there is an algorithm for OV, restricted to $m = \Theta(n^\alpha)$ and $d \leq n^{o(1)}$, that runs in time $O((nm)^{(1−\epsilon)})$.

Implies the following Hypothesis

SETH, OVH

Implied by the following Hypothesis

OVH

Computation Model

Proven?

No

Year

References/Citation

https://arxiv.org/pdf/1502.01063.pdf