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Results tagged with combinatorial-designs
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user 16739
Design theory is the subfield of combinatorics concerning the existence and construction of highly symmetric arrangements. Finite projective planes, latin squares, and Steiner triple systems are examples of designs.
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what is the largest real orthogonal design in $n$ variables?
A real orthogonal design in $n$ variables is an $m \times n$ matrix with
entries from the set $\pm x_1,\pm x_2,\cdots,\pm x_n$ that satisfies :
$$ A A^T = (x_1^2 + x_2^2 + \cdots x_n^2) I_m $$
Normal …
- 451