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There are 2834 spreads of lines in PG(3,8)

Authors
  • McKay, Brendan D.
  • Royle, Gordon F.
Type
Preprint
Publication Date
Apr 06, 2014
Submission Date
Apr 06, 2014
Identifiers
arXiv ID: 1404.1643
Source
arXiv
License
Yellow
External links

Abstract

2834 inequivalent spreads under the group $\mathrm{P}\Gamma\mathrm{L}(4,8)$. Therefore there are the same number of translation planes of order 64 with kernel containing $\mathrm{GF}(8)$, and we describe various properties of these planes. Each portion of the search was performed at least twice with independently-written software, and the results checked for internal consistency by computation of the numbers of spreads rooted at a line not in the spread, thus enhancing confidence in the correctness of the search.

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