Hyperplane skew resolutions and their applications (Q1097512)

A skew resolution in \(G=AG(n,q)\) is a partition of the lines of the geometry into so-called skew resolution classes if any two distinct lines in a class are disjoint and not parallel. A hyperplane skew resolution R is defined as a skew resolution such that for each class S of R there exists a unique parallel class P of hyperplanes in G such that each line of S traverses the members of P. The authors investigate the existence and construction of hyperplane skew resolutions and their application to the line packing problem in G. They also show that the results are useful for constructing certain Kirkman squares and their application to experimental designs.