Abstract
It is shown how to construct a pair of orthogonal v⁄2 by 2v rectangles for all even v. Also, it is shown how to construct a set of t pairwise orthogonal v⁄2 by 2v F-rectangles for all even v for which a set of t pairwise orthogonal Latin squares of order v exists. Some situations where these designs are useful in practice are indicated.
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