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{\bf Hoda Bidkhori and ShinnYih Huang}
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{\bf Strongly Cancellative and Recovering Sets on Lattices}
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We use information theory to study recovering sets
${\mathbf{R}}_L$ and strongly cancellative sets
${\mathbf{C}}_L$ on different lattices. These sets are special
classes of recovering pairs and cancellative sets previously discussed
in the papers of Simonyi, Frankl, and F\"uredi. We mainly focus on the
lattices $B_n$ and $D_{l}^{k}$. Specifically, we find upper bounds and
constructions for the sets ${\mathbf{R}}_{B_n}$,
${\mathbf{C}}_{B_n}$, and ${\mathbf{C}}_{D_{l}^{k}}$.



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