Abstract
Quaternary code (QC) designs form an attractive class of nonregular factorial fractions. We develop a complementary set theory for characterizing optimal QC designs that are highly fractionated in the sense of accommodating a large number of factors. This is in contrast to existing theoretical results which work only for a relatively small number of factors. While the use of imaginary numbers to represent the Gray map associated with QC designs facilitates the derivation, establishing a link with foldovers of regular fractions helps in presenting our results in a neat form.
Citation
Rahul Mukerjee. Boxin Tang. "A complementary set theory for quaternary code designs." Ann. Statist. 41 (6) 2768 - 2785, December 2013. https://doi.org/10.1214/13-AOS1160
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