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A complementary set theory for quaternary code designs

Authors
  • Mukerjee, Rahul
  • Tang, Boxin
Type
Published Article
Publication Date
Dec 18, 2013
Submission Date
Dec 18, 2013
Identifiers
DOI: 10.1214/13-AOS1160
Source
arXiv
License
Yellow
External links

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.

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