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On quasi-symmetric 2-(28, 12, 11) and 2-(36, 16, 12) designs - MaRDI portal

On quasi-symmetric 2-(28, 12, 11) and 2-(36, 16, 12) designs (Q1344525)

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scientific article; zbMATH DE number 722117
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English
On quasi-symmetric 2-(28, 12, 11) and 2-(36, 16, 12) designs
scientific article; zbMATH DE number 722117

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    On quasi-symmetric 2-(28, 12, 11) and 2-(36, 16, 12) designs (English)
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    19 March 1995
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    The authors construct 21 non-isomorphic quasi-symmetric 2-\((28,12,11)\) designs, 18 of which do not have the symmetric difference property (which says that the symmetric difference of any two blocks is either a block or the complement of a block). These are the first examples of non-SDP quasi-symmetric designs of derived type. They also obtain 28 non- isomorphic non-SDP quasi-symmetric 2-\((36,16,12)\) designs.
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    symmetric difference
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    quasi-symmetric designs
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