Abstract
For each natural number , we introduce the concept of a -cap in . A set of points in is called a -cap if, for each , no of the points lie on a -dimensional flat. This generalizes the notion of a cap in . We prove that the -caps in are exactly the Sidon sets in and study the problem of determining the size of the largest -cap in .
Citation
Yixuan Huang. Michael Tait. Robert Won. "Sidon sets and 2-caps in $\mathbb{F}_3^n$." Involve 12 (6) 995 - 1003, 2019. https://doi.org/10.2140/involve.2019.12.995
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