On the symmetric block design with parameters (153, 57, 21)

Abstract

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.

Keywords

• Symmetric Block Design, Collineation group
• Frobenius group
• Orbital structure