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Maximal caps in AG (6, 3)

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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.

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  1. Princeton University, Princeton, NJ, 08544, USA

    Aaron Potechin

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  1. Aaron Potechin
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Correspondence to Aaron Potechin.

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Communicated by J.D. Key.

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Potechin, A. Maximal caps in AG (6, 3). Des. Codes Cryptogr. 46, 243–259 (2008). https://doi.org/10.1007/s10623-007-9132-z

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  • DOI: https://doi.org/10.1007/s10623-007-9132-z

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