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An s-cap n-flat, or an n-dimensional cap of size s, is a pair (S,F) where Fis an n-dimensional affine space over Z/3Z and the size-s subset S of Fcontains no triple of collinear points. The cap set problem in dimension n asksfor the largest s for which an s-cap n-flat exists. This series of articlesinvestigates the cap set problem in dimensions up to and including 7. This isthe second paper in the series.  By applying and adapting methods from the first paper in the series, wesystematically classify all 5-dimensional caps of size at least 41.

The cap set problem: 41-cap 5-flats