Abstract | ||
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We show that, for small t, the smallest set that blocks the long secants of the union of t pairwise disjoint Baer subplanes in \(\hbox {PG}(2,q^2)\) has size \(t(q+1)\) and consists of t Baer sublines, and, for large t, the smallest such set has size \(q^2+q+1\) and is itself a Baer subplane of \(\hbox {PG}(2,q^2)\). We also present a stability result in the first case. |
Year | DOI | Venue |
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2019 | 10.1007/s10623-018-0575-1 | Des. Codes Cryptography |
Keywords | Field | DocType |
Blocking sets, Baer subplanes, Relative blocking sets, Fractional cover, Fractional covering number, 05B25, 51E20, 51E21 | Discrete mathematics,Combinatorics,Disjoint sets,Mathematics | Journal |
Volume | Issue | ISSN |
87 | 4 | 1573-7586 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
A. Blokhuis | 1 | 272 | 62.73 |
Leo Storme | 2 | 197 | 38.07 |
Tamás Szőnyi | 3 | 64 | 11.14 |