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Relative blocking sets of unions of Baer subplanes

(2019) DESIGNS CODES AND CRYPTOGRAPHY. 87(4). p.865-877
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Abstract
We show that, for small t, the smallest set that blocks the long secants of the union of t pairwise disjoint Baer subplanes in PG(2,q2) has size t(q+1) and consists of t Baer sublines, and, for large t, the smallest such set has size q2+q+1 and is itself a Baer subplane of PG(2,q2). We also present a stability result in the first case.
Keywords
Blocking sets, Baer subplanes, Relative blocking sets, Fractional cover, Fractional covering number, PG(2, Q), LINES

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Citation

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MLA
Blokhuis, Aart, Leo Storme, and Tamas Szonyi. “Relative Blocking Sets of Unions of Baer Subplanes.” DESIGNS CODES AND CRYPTOGRAPHY 87.4 (2019): 865–877. Print.
APA
Blokhuis, A., Storme, L., & Szonyi, T. (2019). Relative blocking sets of unions of Baer subplanes. DESIGNS CODES AND CRYPTOGRAPHY, 87(4), 865–877.
Chicago author-date
Blokhuis, Aart, Leo Storme, and Tamas Szonyi. 2019. “Relative Blocking Sets of Unions of Baer Subplanes.” Designs Codes and Cryptography 87 (4): 865–877.
Chicago author-date (all authors)
Blokhuis, Aart, Leo Storme, and Tamas Szonyi. 2019. “Relative Blocking Sets of Unions of Baer Subplanes.” Designs Codes and Cryptography 87 (4): 865–877.
Vancouver
1.
Blokhuis A, Storme L, Szonyi T. Relative blocking sets of unions of Baer subplanes. DESIGNS CODES AND CRYPTOGRAPHY. 2019;87(4):865–77.
IEEE
[1]
A. Blokhuis, L. Storme, and T. Szonyi, “Relative blocking sets of unions of Baer subplanes,” DESIGNS CODES AND CRYPTOGRAPHY, vol. 87, no. 4, pp. 865–877, 2019.
@article{8618527,
  abstract     = {We show that, for small t, the smallest set that blocks the long secants of the union of t pairwise disjoint Baer subplanes in PG(2,q2) has size t(q+1) and consists of t Baer sublines, and, for large t, the smallest such set has size q2+q+1 and is itself a Baer subplane of PG(2,q2). We also present a stability result in the first case.},
  author       = {Blokhuis, Aart and Storme, Leo and Szonyi, Tamas},
  issn         = {0925-1022},
  journal      = {DESIGNS CODES AND CRYPTOGRAPHY},
  keywords     = {Blocking sets,Baer subplanes,Relative blocking sets,Fractional cover,Fractional covering number,PG(2,Q),LINES},
  language     = {eng},
  number       = {4},
  pages        = {865--877},
  title        = {Relative blocking sets of unions of Baer subplanes},
  url          = {http://dx.doi.org/10.1007/s10623-018-0575-1},
  volume       = {87},
  year         = {2019},
}

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