There are 2834 spreads of lines in PG(3,8)
Combinatorics
2014-04-08 v1
Abstract
2834 inequivalent spreads under the group . Therefore there are the same number of translation planes of order 64 with kernel containing , 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.
Keywords
Cite
@article{arxiv.1404.1643,
title = {There are 2834 spreads of lines in PG(3,8)},
author = {Brendan D. McKay and Gordon F. Royle},
journal= {arXiv preprint arXiv:1404.1643},
year = {2014}
}