Unique reducibility of multiple blocking sets |
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Authors: | Nóra V Harrach |
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Institution: | 1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, 13-15 Reáltanoda u, Budapest, 1053, Hungary
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Abstract: | A weighted t-fold (n ? k)-blocking set B of PG(n, q) always contains a minimal weighted t-fold (n ? k)-blocking set. We prove that, if ${|B| < (t+1)q^{n-k} + \theta_{n-k-1}}$ , then the minimal weighted t-fold (n ? k)-blocking set contained in B is unique. |
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