TY - JOUR
T1 - Asymptotic existence of tight orthogonal main effect plans
AU - Gallant, Robert
AU - Colbourn, Charles J.
PY - 1998/3
Y1 - 1998/3
N2 - Our main result is showing the asymptotic existence of tight OMEPs. More precisely, for each fixed number k of rows, and with the exception of OMEPs of the form 2 × 2 × ⋯ 2 × 2s // 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.
AB - Our main result is showing the asymptotic existence of tight OMEPs. More precisely, for each fixed number k of rows, and with the exception of OMEPs of the form 2 × 2 × ⋯ 2 × 2s // 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.
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U2 - 10.4153/CMB-1998-007-9
DO - 10.4153/CMB-1998-007-9
M3 - Article
AN - SCOPUS:0039496414
SN - 0008-4395
VL - 41
SP - 33
EP - 40
JO - Canadian Mathematical Bulletin
JF - Canadian Mathematical Bulletin
IS - 1
ER -