The Steiner quadruple systems of order 16 |
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Authors: | Petteri Kaski Patric RJ Östergård Olli Pottonen |
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Institution: | a Helsinki Institute for Information Technology HIIT, Basic Research Unit, PO Box 68, 00014 University of Helsinki, Finland b Department of Electrical and Communications Engineering, Helsinki University of Technology, PO Box 3000, 02015 TKK, Finland |
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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. |
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Keywords: | Classification Derived design SQS Steiner system |
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