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A Threshold Number for the Shortest Vector Problem in the Infinity Norm

Kuhlmann, Stefan et al.
arXiv (All) · Papers
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combinatoricsdata-structures-and-algorithmsoptimization-and-control
For an integer full column rank matrix $A$, we consider the lattice that consists of all integer combinations of columns of $A$. We prove that a shortest non-zero vector $Az$ has infinity norm equal to $1$ whenever the number of columns of $A$ is at least $Δ$, the largest absolute value of a full ra
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