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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
##### Keywords:
binary block designs