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Classification of Cyclic Steiner Quadruple Systems.
- Source :
-
Journal of Combinatorial Designs . Mar2017, Vol. 25 Issue 3, p103-121. 19p. - Publication Year :
- 2017
-
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 2 p, 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 25
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 120747648
- Full Text :
- https://doi.org/10.1002/jcd.21530