Enumeration of the doubles of the projective plane of order 4

@article{Fack2006EnumerationOT,
  title={Enumeration of the doubles of the projective plane of order 4},
  author={Veerle Fack and Svetlana Topalova and Joost Winne and Rosen Zlatarski},
  journal={Discrete Mathematics},
  year={2006},
  volume={306},
  pages={2141-2151}
}
A classification of the doubles of the projective plane of order 4 with respect to the order of the automorphism group is presented and it is established that, up to isomorphism, there are 1 746 461 307 doubles. We start with the designs possessing non-trivial automorphisms. Since the designs with automorphisms of odd prime orders have been constructed… CONTINUE READING