TY - JOUR
T1 - Existence of three HMOLS of types hn and 2n3 1
AU - Bennett, F. E.
AU - Colbourn, C. J.
AU - Zhu, L.
N1 - Funding Information:
This research was supported in part by NSERC grant A5320 and a grant from the Mount Saint Vincent University Committee on Research and Publications to the first author. The second author acknowledges the support by NSERC under grant A0579. The last two authors express their appreciation to NSERC Canada for a Foreign Researcher Award to support the visit of the last author to Waterloo.
PY - 1996/11/15
Y1 - 1996/11/15
N2 - In this paper, we construct 23 new 3 HMOLS of type hn. We also investigate the existence of 3 HMOLS of type 2n31 and show that the necessary condition n ≥ 6 is sufficient for such designs to exist except possibly for 18 values of n, of which n = 31 is the largest. As an application, some improvements for the existence of perfect Mendelsohn designs with block size five are also mentioned.
AB - In this paper, we construct 23 new 3 HMOLS of type hn. We also investigate the existence of 3 HMOLS of type 2n31 and show that the necessary condition n ≥ 6 is sufficient for such designs to exist except possibly for 18 values of n, of which n = 31 is the largest. As an application, some improvements for the existence of perfect Mendelsohn designs with block size five are also mentioned.
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U2 - 10.1016/0012-365X(95)00148-P
DO - 10.1016/0012-365X(95)00148-P
M3 - Article
AN - SCOPUS:0007075792
SN - 0012-365X
VL - 160
SP - 49
EP - 65
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 1-3
ER -