For each q=2^m, m≥1, an infinite class of 2-(q^4+q+1,1) designs admitting PSU(3,q) as an automorphism group is constructed. Such designs are shown to contain embedded Desarguesian projective planes of order q and a PSU(3,q)-invariant oval.
An infinite class of 2-designs with λ=1 containing a PSU(3,q)-invariant oval.
BILIOTTI, Mauro;MONTINARO, Alessandro
2013-01-01
Abstract
For each q=2^m, m≥1, an infinite class of 2-(q^4+q+1,1) designs admitting PSU(3,q) as an automorphism group is constructed. Such designs are shown to contain embedded Desarguesian projective planes of order q and a PSU(3,q)-invariant oval.File in questo prodotto:
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