Line spreads of PG(5, 2) |
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| Authors: | Zlatka T Mateva Svetlana T Topalova |
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| Institution: | 1. Department of Mathematics, Technical University, Varna, Bulgaria;2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Bulgaria |
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| Abstract: | 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. © 2008 Wiley Periodicals, Inc. J Combin Designs 17: 90–102, 2009 |
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| Keywords: | projective space classification line spread automorphism combinatorial design |
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