Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial covers of PG(n,q)   In this paper, we show that a set of q+a hyperplanes, q>13, a<(q-10)/4, that
does not cover PG(n,q), does not cover at least q^(n-1)-aq^(n-2) points, and
show that this lower bound is sharp. If the number of non- covered points is at
most q^(n-1), then we show that all non-covered points are contained in one
hyperplane. Finally, using a recent result of Blokhuis, Brouwer, and Szonyi
[3], we remark that the bound on a for which these results are valid can be
improved to a<(q-2)/3 and that this upper bound on a is sharp

31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
1
The categories of this paper are: cs