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Trend-free block designs for higher order trends. (English) Zbl 0943.05012
Necessary conditions for the existence of \(p\)-trend-free equireplicated binary block designs are derived for \(2\leq p\leq k-1\). The conditions are sufficient for complete block designs. A BIBD with \(v\leq 10\), \(b\leq 100\), \(3\leq k\leq 8\) and satisfying the necessary conditions, is shown to be \(p\)-trend-free.
Reviewer: K.Sinha (Ranchi)
MSC:
05B05 Combinatorial aspects of block designs
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