Line Spreads of PG(5,2)

摘要

All line spreads of PG(5, 2) are constructed and classified up to equivalence by exhaustive generation considering the specific properties of the automorphism group, and the participation of the spread lines in the subspaces of dimension 3. There are 131,044 inequivalent spreads. The orders of the automorphism groups preserving the spreads, and the 2-ranks of the related by Rahilly's construction affine 2-(64,16,5) designs are also computed.