Tight 4-factor orthogonal main effect plans

Robert Gallant, Charles J. Colbourn

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Our main result is a determination of those parameter sets for which a tight OMEP with four rows exists. These are used to characterize those n for which an s1 × s2 × s3 × s4//n OMEP exists. The main application of this is a method for determining the minimal n for which an s1 × s2 × s3 × s4//n OMEP exists. We use the same techniques to give an algorithm for determining the minimal n for which an s1 × s2 × s3 × s4//n OMEP with equal replication exists. More importantly, the methods used here can be applied to OMEPs on any number of factors.

Original languageEnglish (US)
Pages (from-to)101-110
Number of pages10
JournalDiscrete Mathematics
Volume184
Issue number1-3
DOIs
StatePublished - Apr 6 1998
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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