Lacunary polynomials, multiple blocking sets and baer subplanes

A. Blokhuis, L. Storme, T. Szőnyi

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

New lower bounds are given for the size of a point set in a Desarguesian projective plane over, a finite field that contains at least a prescribed number s of points on every line. These bounds are best possible when q is square and s is small compared with q. In this case the smallest set is shown to be the union of disjoint Baer subplanes. The results are based on new results on the structure of certain lacunary polynomials, which can be regarded as a generalization of Rédei's results in the case when the derivative of the polynomial vanishes.

Original languageEnglish
Pages (from-to)321-332
Number of pages12
JournalJournal of the London Mathematical Society
Volume60
Issue number2
Publication statusPublished - Oct 1999

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Blocking Set
Polynomial
Projective plane
Point Sets
Galois field
Vanish
Disjoint
Union
Lower bound
Derivative
Line

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Lacunary polynomials, multiple blocking sets and baer subplanes. / Blokhuis, A.; Storme, L.; Szőnyi, T.

In: Journal of the London Mathematical Society, Vol. 60, No. 2, 10.1999, p. 321-332.

Research output: Contribution to journalArticle

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