Open Access
December 2013 A complementary set theory for quaternary code designs
Rahul Mukerjee, Boxin Tang
Ann. Statist. 41(6): 2768-2785 (December 2013). DOI: 10.1214/13-AOS1160


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.


Download Citation

Rahul Mukerjee. Boxin Tang. "A complementary set theory for quaternary code designs." Ann. Statist. 41 (6) 2768 - 2785, December 2013.


Published: December 2013
First available in Project Euclid: 17 December 2013

zbMATH: 1292.62119
MathSciNet: MR3161447
Digital Object Identifier: 10.1214/13-AOS1160

Primary: 62K15

Keywords: Foldover , Gray map , highly fractionated design , minimum aberration , minimum moment aberration , projectivity , resolution

Rights: Copyright © 2013 Institute of Mathematical Statistics

Vol.41 • No. 6 • December 2013
Back to Top