Using computer algorithms we show that in any 2-(22,8,4) design there are no blocks of type 3, thus leaving as possible only types 1 and 2. Blocks of type 3, i.e. those which intersect two others in one point, are eliminated using the algorithms described in our previous paper. It was perhaps the second largest computation ever performed (after the solution to the RSA129 challenge), requiring more than a century of cpu time.
Department, Program, or Center
Center for Advancing the Study of CyberInfrastructure
The Journal of Combinatorial Mathematics and Combinatorial Computing 30 (1999) 251-253
RIT – Main Campus