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Maximal caps in AG (6, 3)
Authors:Aaron Potechin
Institution:(1) Princeton University, Princeton, NJ 08544, USA
Abstract:We show that there are no complete 44-caps in AG(5, 3). We then use this result to prove that the maximal size for a cap in AG(6, 3) is equal to 112, and that the 112-caps in AG(6, 3) are unique up to affine equivalence.
Keywords:Finite geometry  Coding theory  Caps
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