TY - JOUR
T1 - Tight 4-factor orthogonal main effect plans
AU - Gallant, Robert
AU - Colbourn, Charles J.
N1 - Funding Information:
Research of the first author is supported by an NSERC Postgraduate award, and of the second author by NSERC Operating Grant OGP000579. Thanks to Debbie Street for helpful comments on this work.
PY - 1998/4/6
Y1 - 1998/4/6
N2 - 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.
AB - 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.
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U2 - 10.1016/S0012-365X(96)00075-1
DO - 10.1016/S0012-365X(96)00075-1
M3 - Article
AN - SCOPUS:0043125161
SN - 0012-365X
VL - 184
SP - 101
EP - 110
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 1-3
ER -