  This report gives an overview of the history of finite projective planes and
their properties before going on to outline the proof that no projective plane
of order 10 exists. The report also investigates the search carried out by
MacWilliams, Sloane and Thompson in 1970 [12] and confirms their result by
providing independent verification that there is no vector of weight 15 in the
code generated by the projective plane of order 10.
