Transitive Steiner and Kirkman triple systems of order 27-Reference-Cited by-同舟云学术

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Transitive Steiner and Kirkman triple systems of order 27

Published:1992 Issue:197 Volume:58 Page:441-449
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Colbourn Charles J.,Magliveras Spyros S.,Mathon Rudolf A.

Abstract

There are 71 Steiner triple systems of order 27 whose automorphism groups are point-transitive, and there are 248 transitive Kirkman triple systems of order 27. Computational methods used to find these designs are outlined. The designs and some of their properties are presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1992-58-197/S0025-5718-1992-1106962-5/S0025-5718-1992-1106962-5.pdf

Reference8 articles.

1. Sur les systèmes cycliques de triples de Steiner différents pour 𝑁 premier de la forme 6 𝑛+1;Bays, S.;Comment. Math. Helv.,1932

2. On cyclic Steiner 2-designs;Colbourn, Marlene J.;Ann. Discrete Math.,1980

3. On projective planes of order 12 with an automorphism of order 13. I. Kirkman designs of order 27;Janko, Zvonimir;Geom. Dedicata,1981

4. A class of Steiner triple systems of order 21 and associated Kirkman systems;Mathon, Rudolf A.;Math. Comp.,1981

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The 1-rotational Kirkman triple systems of order 33;Journal of Statistical Planning and Inference;2000-05

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