CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Asymptotic existence of tight orthogonal main effect plans

  Published:1998-03-01
 Printed: Mar 1998
  • Robert Gallant
  • Charles J. Colbourn
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Our main result is showing the asymptotic existence of tight $\OMEP$s. More precisely, for each fixed number $k$ of rows, and with the exception of $\OMEP$s of the form $2 \times 2 \times \cdots 2 \times 2s\specdiv 4s$ with $s$ odd and with more than three rows, there are only a finite number of tight $\OMEP$ parameters for which the tight $\OMEP$ does not exist.
MSC Classifications: 62K99, 05B15 show english descriptions None of the above, but in this section
Orthogonal arrays, Latin squares, Room squares
62K99 - None of the above, but in this section
05B15 - Orthogonal arrays, Latin squares, Room squares
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/