Self-dual codes and the non-existence of a quasi-symmetric 2-(37,9,8)   design with intersection numbers 1 and 3
  We prove that a certain binary linear code associated with the incidence matrix of a quasi-symmetric 2-(37,9,8) design with intersection numbers 1 and 3 must be contained in an extremal doubly even self-dual code of length 40. Using the classification of extremal doubly even self-dual codes of length 40, we show that a quasi-symmetric 2-(37,9,8) design with intersection numbers 1 and 3 does not exist. 
Masaaki Harada, Akihiro Munemasa, Vladimir D. Tonchev
math.CO