Abstract
Whenever there exist affine planes of orders n − 1 and n, a construction is given for a 2 − (( n + 1)( n − 1) 2, n( n − 1), n) design admitting a strong tactical decomposition. These designs are neither symmetric nor strongly resolvable but can be embedded in symmetric 2 − ( n 3 − n + 1, n 2, n) designs.
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