On the symmetric block design with parameters (153, 57, 21)
Keywords:
Symmetric Block Design, Collineation group, Frobenius group, Orbital structureAbstract
In this paper it is proved that:
A) Up to isomorphism and duality there are exactly two possible orbital structures for a putative symmetric block design with parameters (153, 57, 21) constructed using the Frobenius group F_{17·16}
B) Up to isomorphism and duality there are exactly 16 possible orbital structures for a putative symmetric block design with parameters (153, 57, 21) constructed using the collineation group G.
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