New results on maximal partial line spreads in PG(5,q)
Iurlo, Maurizio
Original · EN
In this work, we prove the existence of maximal partial line spreads in PG(5,q) of size q³+q²+kq+1, with 1 ≤ k ≤ (q³-q²)/(q+1), k an integer. Moreover, by a computer search, we do this for larger values of k, for q ≤ 7. Again by a computer search, we find the sizes for the largest maximal partial line spreads and many new results for q ≤ 5.
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