Existence of three HMOLS of types hn and 2n3 1

F. E. Bennett; C. J. Colbourn; L. Zhu

doi:10.1016/0012-365X(95)00148-P

Existence of three HMOLS of types hⁿ and 2ⁿ3 ¹

F. E. Bennett
, C. J. Colbourn
, L. Zhu

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	49-65
Number of pages	17
Journal	Discrete Mathematics
Volume	160
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(95)00148-P
State	Published - Nov 15 1996
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(95)00148-P

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@article{374332103b15484fb0ba918d98567b02,

title = "Existence of three HMOLS of types hn and 2n3 1",

abstract = "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.",

author = "Bennett, \{F. E.\} and Colbourn, \{C. J.\} and L. Zhu",

note = "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.",

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doi = "10.1016/0012-365X(95)00148-P",

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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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DO - 10.1016/0012-365X(95)00148-P

M3 - Article

AN - SCOPUS:0007075792

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VL - 160

SP - 49

EP - 65

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Existence of three HMOLS of types hⁿ and 2ⁿ3 ¹

Abstract

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