The largest cap in AG(4,4) and its uniqueness
We show that 40 is the maximum number of points of a cap in AC(4, 4). Up to semi-linear transformations there is only one such 40-cap. Its group of automorphisms is a semidirect product of an elementary abelian group of order 16 and the alternating group A5.
Designs, Codes, and Cryptography
The largest cap in AG(4,4) and its uniqueness.
Designs, Codes, and Cryptography,
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