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Classification of Cyclic Steiner Quadruple Systems
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Chang, Yanxun, Fan, Bingli, Feng, Tao, Holt, Derek F. and Ostergard, Patric (2017) Classification of Cyclic Steiner Quadruple Systems. Journal of Combinatorial Designs, 25 (3). pp. 103-121. doi:10.1002/jcd.21530
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Official URL: http://doi.org/10.1002/jcd.21530
Abstract
The problem of classifying cyclic Steiner quadruple systems (CSQSs) is considered. A computational approach shows that the number of isomorphism classes of such designs with orders 26 and 28 is 52,170 and 1,028,387, respectively. It is further shown that CSQSs of order 2p, where p is a prime, are isomorphic iff they are multiplier equivalent. Moreover, no CSQSs of order less than or equal to 38 are isomorphic but not multiplier equivalent.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Steiner systems | ||||||||
| Journal or Publication Title: | Journal of Combinatorial Designs | ||||||||
| Publisher: | Wiley | ||||||||
| ISSN: | 1063-8539 | ||||||||
| Official Date: | March 2017 | ||||||||
| Dates: |
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| Volume: | 25 | ||||||||
| Number: | 3 | ||||||||
| Page Range: | pp. 103-121 | ||||||||
| DOI: | 10.1002/jcd.21530 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Funder: | Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC), Suomen Akatemia [Academy of Finland] | ||||||||
| Grant number: | Grant 11271042, Grant 11471032 (NSFC), Grant No. 289002 (Suomen Akatemia) |
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