Abstract:In this paper we first study $k \times n$ Youden rectangles of small orders.
We have enumerated all Youden rectangles for a range of small parameter values,
excluding the almost square cases where $k = n-1$, in a large scale computer
search. In particular, we verify the previous counts for $(n,k) = (7,3),
(7,4)$, and extend this to the cases $(11,5), (11,6), (13,4)$ and $(21,5)$. For
small parameter values where no Youden rectangles exist, we also enumerate
rectangles where the number of symbols common to two … Show more
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