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math.CO2022
Solution to a BCC 2022 problem
Henry Robert Thackeray
For positive integers and such that is at most , we find an explicit one-to-one correspondence between the following two sets: the set of words consisting of …
math.CO2022
The cap set problem: Up to dimension 7
Henry Robert Thackeray
An s-cap n-flat is given by a set of s points, no three of which are on a common line, in an n-dimensional affine space over the field of three elements. The cap set problem in dim…
math.CO2022
The cap set problem: 41-cap 5-flats
Henry Robert Thackeray
An s-cap n-flat, or an n-dimensional cap of size s, is a pair (S,F) where F is an n-dimensional affine space over Z/3Z and the size-s subset S of F contains no triple of collinear…