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New Designs with Block Size 7

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Abstract

An imprimitive permutation group of order 4200 is used for the construction of a 2-(175, 7, 1) design. The design yields also a group divisible design 7−GDDand a generalized Bhaskar Rao designGBRD(25, 100, 28, 7, 7; Z7).

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Research partially supported by a grant of the Alexander von Humboldt Foundation.