The Steiner quadruple systems of order 16

Kaski P., Ostergard P.R.J. and Pottonen O. (2006) The Steiner quadruple systems of order 16. Journal of Combinatorial Theory. Series A, 113 8: 1764-1770. doi:10.1016/j.jcta.2006.03.017


Author Kaski P.
Ostergard P.R.J.
Pottonen O.
Title The Steiner quadruple systems of order 16
Journal name Journal of Combinatorial Theory. Series A   Check publisher's open access policy
ISSN 0097-3165
Publication date 2006-01-01
Sub-type Article (original research)
DOI 10.1016/j.jcta.2006.03.017
Open Access Status Not Open Access
Volume 113
Issue 8
Start page 1764
End page 1770
Total pages 7
Language eng
Subject 2607 Discrete Mathematics and Combinatorics
2614 Theoretical Computer Science
Abstract The Steiner quadruple systems of order 16 are classified up to isomorphism by means of an exhaustive computer search. The number of isomorphism classes of such designs is 1, 054, 163. Properties of the designs-including the orders of the automorphism groups and the structures of the derived Steiner triple systems of order 15-are tabulated. A consistency check based on double counting is carried out to gain confidence in the correctness of the classification.
Keyword Classification
Derived design
SQS
Steiner system
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
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Citation counts: TR Web of Science Citation Count  Cited 14 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 19 times in Scopus Article | Citations
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