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Paper IPM / M / 723 |
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Abstract: | |
In this paper, we determine all indecomposable triple systems of order 10 and index 4 with a non-trivial automorphism group and show that exactly 101 such designs exist. We then answer some questions about IPP(10,Λ) and finally obtain a lower bound for the number of LS [4] (2,3,10).
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