There is no Drake/Larson linear space on 30 points

A linear space is Drake/Larson if it contains at least two lines and there are no lines of size 2, 3 or 6. The existence or nonexistence of such linear spaces on v points is known except for v=30. The purpose of this article is to settle the remaining case on thirty points in the negative. This result relies on a combination of parameter calculation and exhaustive computer search. © 2009 Wiley Periodicals, Inc. J Combin Designs 28: 48–70, 2010