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The non-equivalent circulant \(D\)-optimal designs for \(n\equiv 2\bmod 4\), \(n\leqslant 54\), \(n=66\). (English) Zbl 0788.62067

Summary: All non-equivalent circulant \(D\)-optimal designs for \(n\equiv 2\text{\;mod }4\), \(n\leq 54\) and \(n=66\) are given and were found by an exhaustive search. There is a unique non-equivalent circulant design for each value of \(n\leq 18\), 3 for \(n=26\) and \(n=30\), 8 for \(n=38\), 31 for \(n=42\), 17 for \(n=46\), 39 for \(n=50\), 48 for \(n=54\), and 1025 for \(n=66\). These are presented in tables in the form of the corresponding non-equivalent supplementary difference sets. Most of the given designs are new.

MSC:

62K05 Optimal statistical designs
62Q05 Statistical tables
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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