In AG(7,2), there are two affine equivalence classes of 10-caps, one class of 11-caps, one class of 12-caps, and no cap with 13 points.
Sidon sets, sum-free sets and linear codes
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How Many Cards Should You Lay Out in Quad-128: A Classification of Caps in AG(7,2)
In AG(7,2), there are two affine equivalence classes of 10-caps, one class of 11-caps, one class of 12-caps, and no cap with 13 points.