engleski

Construction of designs from the unitary group U(3, 3)

We classify transitive 3-designs and 2-designs with 28 points admitting a transitive action of the unitary group U(3, 3). Constructed 3-designs and the majority of 2-designs that are obtained have not been known before up to our best knowledge. Further, we construct 2-designs with 36, 56 or 63 points and strongly regular graphs on 36, 63 or 126 vertices from the simple group U(3, 3).

t-designs ; strongly regular graphs ; unitary group

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