New Designs with Block Size 7
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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).
[1] C. Colbourn,et al. The CRC handbook of combinatorial designs , edited by Charles J. Colbourn and Jeffrey H. Dinitz. Pp. 784. $89.95. 1996. ISBN 0-8493-8948-8 (CRC). , 1997, The Mathematical Gazette.
[2] Alan R. Camina,et al. Line-transitive Automorphism Groups of Linear Spaces , 1993, Electron. J. Comb..