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Finding defining generators with extreme lengths. (English) Zbl 1039.62071
Summary: In some practical situations the choice of defining generators matters even for the same defining contrast subgroup. Two such examples are blocking schemes for full and fractional factorial designs and split-plot fractional factorial designs. We propose an algorithm to find defining generators with extreme lengths for any \(s^{n-k}\) designs, \(s\) being a prime power. Some illustrations of the method are given.

MSC:
62K15 Factorial statistical designs
62K10 Statistical block designs
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