Searching for semifield flocks Original Research Article

Searches are performed in PG(3,q), q odd, for finding semifield and likeable flocks. For small values of q exhaustive searches are performed; limited searches are done for larger q. The main result of this paper is: In PG(3,27) any semifield flock is isomorphic either to the linear, Kantor–Knuth or Ganley flock. No new semifield or likeable flocks have been found.