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- W2081203530 abstract "Abstract This article continues the study of multiple blocking sets in PG(2, q ). In [A. Blokhuis, L. Storme, T. Szőnyi, Lacunary polynomials, multiple blocking sets and Baer subplanes. J. London Math. Soc . (2) 60 (1999), 321–332. MR1724814 (2000j:05025) Zbl 0940.51007], using lacunary polynomials, it was proven that t -fold blocking sets of PG(2, q ), q square, t < q ¼ /2, of size smaller than t ( q + 1) + c q q ⅔ , with c q = 2 −⅓ when q is a power of 2 or 3 and c q = 1 otherwise, contain the union of t pairwise disjoint Baer subplanes when t ≥ 2, or a line or a Baer subplane when t = 1. We now combine the method of lacunary polynomials with the use of algebraic curves to improve the known characterization results on multiple blocking sets and to prove a t (mod p ) result on small t -fold blocking sets of PG(2, q = p n ), p prime, n ≥ 1." @default.
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- W2081203530 date "2007-01-26" @default.
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- W2081203530 title "On multiple blocking sets in Galois planes" @default.
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- W2081203530 doi "https://doi.org/10.1515/advgeom.2007.003" @default.
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